Index

_

__init__() (sympy.vector.coordsysrect.CoordSysCartesian method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.BodyOrienter method) (sympy.vector.orienters.QuaternionOrienter method) (sympy.vector.orienters.SpaceOrienter method) _base_ordering() (in module sympy.combinatorics.util) _check_cycles_alt_sym() (in module sympy.combinatorics.util) _cmp_perm_lists() (in module sympy.combinatorics.testutil) _distribute_gens_by_base() (in module sympy.combinatorics.util) _handle_precomputed_bsgs() (in module sympy.combinatorics.util) _linear_2eq_order1_type1() (in module sympy.solvers.ode) _linear_2eq_order1_type2() (in module sympy.solvers.ode) _linear_2eq_order1_type3() (in module sympy.solvers.ode) _linear_2eq_order1_type4() (in module sympy.solvers.ode) _linear_2eq_order1_type5() (in module sympy.solvers.ode) _linear_2eq_order1_type6() (in module sympy.solvers.ode) _linear_2eq_order1_type7() (in module sympy.solvers.ode) _linear_2eq_order2_type1() (in module sympy.solvers.ode) _linear_2eq_order2_type10() (in module sympy.solvers.ode) _linear_2eq_order2_type11() (in module sympy.solvers.ode) _linear_2eq_order2_type2() (in module sympy.solvers.ode) _linear_2eq_order2_type3() (in module sympy.solvers.ode) _linear_2eq_order2_type4() (in module sympy.solvers.ode) _linear_2eq_order2_type5() (in module sympy.solvers.ode) _linear_2eq_order2_type6() (in module sympy.solvers.ode) _linear_2eq_order2_type7() (in module sympy.solvers.ode) _linear_2eq_order2_type8() (in module sympy.solvers.ode) _linear_2eq_order2_type9() (in module sympy.solvers.ode) _linear_3eq_order1_type1() (in module sympy.solvers.ode)

_linear_3eq_order1_type2() (in module sympy.solvers.ode) _linear_3eq_order1_type3() (in module sympy.solvers.ode) _linear_3eq_order1_type4() (in module sympy.solvers.ode) _linear_neq_order1_type1() (in module sympy.solvers.ode) _LorentzContainer (class in sympy.physics.hep.gamma_matrices) _naive_list_centralizer() (in module sympy.combinatorics.testutil) _nonlinear_2eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_2eq_order1_type5() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type1() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type2() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type3() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type4() (in module sympy.solvers.ode) _nonlinear_3eq_order1_type5() (in module sympy.solvers.ode) _orbits_transversals_from_bsgs() (in module sympy.combinatorics.util) _print() (sympy.printing.printer.Printer method) _remove_gens() (in module sympy.combinatorics.util) _strip() (in module sympy.combinatorics.util) _strong_gens_from_distr() (in module sympy.combinatorics.util) _TensorManager (class in sympy.tensor.tensor) _verify_bsgs() (in module sympy.combinatorics.testutil) _verify_centralizer() (in module sympy.combinatorics.testutil) _verify_normal_closure() (in module sympy.combinatorics.testutil)

A

A (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) a (sympy.physics.quantum.shor.CMod attribute) a1pt_theory() (sympy.physics.vector.point.Point method) a2idx() (in module sympy.matrices.matrices) a2pt_theory() (sympy.physics.vector.point.Point method) a_interval (sympy.sets.fancysets.ComplexRegion attribute) abbrev (sympy.physics.unitsystems.units.Unit attribute) abbrev_dim (sympy.physics.unitsystems.units.Unit attribute) AbelianGroup() (in module sympy.combinatorics.named_groups) above() (sympy.printing.pretty.stringpict.stringPict method) Abs (class in sympy.functions.elementary.complexes) abs() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) acc() (sympy.physics.vector.point.Point method) accepted_latex_functions (in module sympy.printing.latex) acos (class in sympy.functions.elementary.trigonometric) acosh (class in sympy.functions.elementary.hyperbolic) acot (class in sympy.functions.elementary.trigonometric) acoth (class in sympy.functions.elementary.hyperbolic) acsc (class in sympy.functions.elementary.trigonometric) Add (class in sympy.core.add) add() (sympy.assumptions.assume.AssumptionsContext method) Add() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) add() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) (sympy.physics.unitsystems.dimensions.Dimension method) (sympy.physics.unitsystems.quantities.Quantity method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) add_as_roots() (sympy.liealgebras.root_system.RootSystem method) add_gens() (sympy.polys.rings.PolyRing method) add_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) add_simple_roots() (sympy.liealgebras.root_system.RootSystem method) adjoint() (sympy.matrices.immutable.ImmutableMatrix method) (sympy.matrices.matrices.MatrixBase method) adjugate() (sympy.matrices.matrices.MatrixBase method) airyai (class in sympy.functions.special.bessel) airyaiprime (class in sympy.functions.special.bessel) AiryBase (class in sympy.functions.special.bessel) airybi (class in sympy.functions.special.bessel) airybiprime (class in sympy.functions.special.bessel) algebraic (sympy.assumptions.ask.AssumptionKeys attribute) algebraic_field() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.RationalField method) (sympy.polys.domains.domain.Domain method) AlgebraicField (class in sympy.polys.domains) AlgebraicNumber (class in sympy.polys.numberfields) all_coeffs() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) all_roots() (sympy.liealgebras.root_system.RootSystem method) (sympy.polys.polytools.Poly method) all_terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) allhints (in module sympy.solvers.ode) almosteq() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) (sympy.polys.rings.PolyElement method) alternating() (sympy.combinatorics.generators method) AlternatingGroup() (in module sympy.combinatorics.named_groups) altitudes (sympy.geometry.polygon.Triangle attribute) ambient_dimension (sympy.geometry.entity.GeometryEntity attribute) (sympy.geometry.point.Point attribute) amplitude (sympy.physics.optics.waves.TWave attribute) an (sympy.functions.special.hyper.meijerg attribute) And (class in sympy.logic.boolalg) ang_acc_in() (sympy.physics.vector.frame.ReferenceFrame method) ang_vel_in() (sympy.physics.vector.frame.ReferenceFrame method) angle (sympy.physics.optics.gaussopt.GeometricRay attribute) angle_between() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) angles (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) angular_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) angular_velocity (sympy.physics.optics.waves.TWave attribute) AnnihilateBoson (class in sympy.physics.secondquant) AnnihilateFermion (class in sympy.physics.secondquant) annotated() (in module sympy.printing.pretty.pretty_symbology) ANP (class in sympy.polys.polyclasses) AntiCommutator (class in sympy.physics.quantum.anticommutator) antidivisor_count() (in module sympy.ntheory.factor_) antidivisors() (in module sympy.ntheory.factor_) antihermitian (sympy.assumptions.ask.AssumptionKeys attribute) AntiSymmetricTensor (class in sympy.physics.secondquant) any() (in module sympy.parsing.sympy_tokenize) aother (sympy.functions.special.hyper.meijerg attribute) ap (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) apart() (in module sympy.polys.partfrac) (sympy.core.expr.Expr method) apart_list() (in module sympy.polys.partfrac) apoapsis (sympy.geometry.ellipse.Ellipse attribute) apothem (sympy.geometry.polygon.RegularPolygon attribute) append() (sympy.plotting.plot.Plot method) AppliedPredicate (class in sympy.assumptions.assume) apply() (sympy.printing.pretty.stringpict.prettyForm static method) (sympy.simplify.epathtools.EPath method) apply_finite_diff() (in module sympy.calculus.finite_diff) apply_force() (sympy.physics.mechanics.body.Body method) apply_grover() (in module sympy.physics.quantum.grover) apply_operator() (sympy.physics.secondquant.AnnihilateBoson method) (sympy.physics.secondquant.AnnihilateFermion method) (sympy.physics.secondquant.CreateBoson method) (sympy.physics.secondquant.CreateFermion method) apply_operators() (in module sympy.physics.secondquant) apply_torque() (sympy.physics.mechanics.body.Body method) applyfunc() (sympy.matrices.sparse.SparseMatrix method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) approximation() (sympy.core.numbers.NumberSymbol method) arbitrary_point() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) (sympy.geometry.polygon.Polygon method) Arcsin() (in module sympy.stats) are_collinear() (sympy.geometry.point.Point3D static method) are_concurrent() (sympy.geometry.line.LinearEntity static method) (sympy.geometry.line3d.LinearEntity3D static method) (sympy.geometry.plane.Plane static method) are_coplanar() (sympy.geometry.point.Point3D static method) are_similar() (in module sympy.geometry.util)

area (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) arg (class in sympy.functions.elementary.complexes) (sympy.assumptions.assume.AppliedPredicate attribute) args (sympy.core.basic.Basic attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.polys.polytools.Poly attribute) args_cnc() (sympy.core.expr.Expr method) Argument (class in sympy.utilities.codegen) argument (sympy.functions.special.bessel.BesselBase attribute) (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) array_form (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) ArrowStringDescription (class in sympy.categories.diagram_drawing) as_base_exp() (sympy.core.function.Function method) (sympy.core.power.Pow method) (sympy.functions.elementary.exponential.log method) as_coeff_Add() (sympy.core.add.Add method) as_coeff_add() (sympy.core.add.Add method) as_coeff_Add() (sympy.core.expr.Expr method) as_coeff_add() (sympy.core.expr.Expr method) as_coeff_Add() (sympy.core.numbers.Number method) as_coeff_exponent() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.expr.Expr method) as_coeff_mul() (sympy.core.expr.Expr method) as_coeff_Mul() (sympy.core.mul.Mul method) (sympy.core.numbers.Number method) as_coefficient() (sympy.core.expr.Expr method) as_coefficients_dict() (sympy.core.add.Add method) (sympy.core.expr.Expr method) as_content_primitive() (sympy.core.add.Add method) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) (sympy.core.numbers.Rational method) (sympy.core.power.Pow method) as_dict() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.polys.polytools.Poly method) as_dummy() (sympy.core.symbol.Symbol method) as_explicit() (sympy.matrices.expressions.MatrixExpr method) as_expr() (sympy.core.expr.Expr method) (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polytools.Poly method) as_ferrers() (sympy.combinatorics.partitions.IntegerPartition method) as_finite_diff() (in module sympy.calculus.finite_diff) as_immutable() (sympy.matrices.sparse.SparseMatrix method) as_independent() (sympy.core.expr.Expr method) as_int() (in module sympy.core.compatibility) as_leading_term() (sympy.core.expr.Expr method) as_list() (sympy.polys.polytools.Poly method) as_mutable() (sympy.matrices.expressions.MatrixExpr method) (sympy.matrices.immutable.ImmutableMatrix method) (sympy.matrices.sparse.SparseMatrix method) as_numer_denom() (sympy.core.expr.Expr method) as_ordered_factors() (sympy.core.expr.Expr method) (sympy.core.mul.Mul method) as_ordered_terms() (sympy.core.expr.Expr method) as_poly() (sympy.core.basic.Basic method) (sympy.polys.numberfields.AlgebraicNumber method) as_powers_dict() (sympy.core.expr.Expr method) as_quantity (sympy.physics.unitsystems.units.Unit attribute) as_real_imag() (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.functions.elementary.complexes.im method) (sympy.functions.elementary.complexes.re method) (sympy.functions.elementary.exponential.exp method) (sympy.functions.elementary.exponential.log method) (sympy.functions.elementary.hyperbolic.sinh method) as_relational() (sympy.sets.sets.FiniteSet method) (sympy.sets.sets.Intersection method) (sympy.sets.sets.Interval method) (sympy.sets.sets.Union method) as_sum() (sympy.integrals.Integral method) as_terms() (sympy.core.expr.Expr method) as_two_terms() (sympy.core.add.Add method) (sympy.core.mul.Mul method) as_unit (sympy.physics.unitsystems.quantities.Quantity attribute) ascents() (sympy.combinatorics.permutations.Permutation method) asec (class in sympy.functions.elementary.trigonometric) asech (class in sympy.functions.elementary.hyperbolic) asin (class in sympy.functions.elementary.trigonometric) asinh (class in sympy.functions.elementary.hyperbolic) ask() (in module sympy.assumptions.ask) ask_full_inference() (in module sympy.assumptions.ask) AskAlgebraicHandler (class in sympy.assumptions.handlers.sets) AskAntiHermitianHandler (class in sympy.assumptions.handlers.sets) AskComplexHandler (class in sympy.assumptions.handlers.sets) AskExtendedRealHandler (class in sympy.assumptions.handlers.sets) AskFiniteHandler (class in sympy.assumptions.handlers.calculus) AskHermitianHandler (class in sympy.assumptions.handlers.sets) AskImaginaryHandler (class in sympy.assumptions.handlers.sets) AskIntegerHandler (class in sympy.assumptions.handlers.sets) AskNegativeHandler (class in sympy.assumptions.handlers.order) AskNonZeroHandler (class in sympy.assumptions.handlers.order) AskOddHandler (class in sympy.assumptions.handlers.ntheory) AskPositiveHandler (class in sympy.assumptions.handlers.order) AskPrimeHandler (class in sympy.assumptions.handlers.ntheory) AskRationalHandler (class in sympy.assumptions.handlers.sets) AskRealHandler (class in sympy.assumptions.handlers.sets) assemble_partfrac_list() (in module sympy.polys.partfrac) Assignment (class in sympy.printing.codeprinter) AssignmentError assoc_laguerre (class in sympy.functions.special.polynomials) assoc_legendre (class in sympy.functions.special.polynomials) assoc_recurrence_memo() (in module sympy.utilities.memoization) assuming() (in module sympy.assumptions.assume) AssumptionKeys (class in sympy.assumptions.ask) assumptions0 (sympy.core.basic.Basic attribute) AssumptionsContext (class in sympy.assumptions.assume) atan (class in sympy.functions.elementary.trigonometric) atan2 (class in sympy.functions.elementary.trigonometric) atanh (class in sympy.functions.elementary.hyperbolic) Atom (class in sympy.core.basic) AtomicExpr (class in sympy.core.expr) atoms() (sympy.combinatorics.permutations.Permutation method) (sympy.core.basic.Basic method) (sympy.matrices.matrices.MatrixBase method) atoms_table (in module sympy.printing.pretty.pretty_symbology) auto_number() (in module sympy.parsing.sympy_parser) auto_symbol() (in module sympy.parsing.sympy_parser) autowrap() (in module sympy.utilities.autowrap) auxiliary_eqs (sympy.physics.mechanics.kane.KanesMethod attribute) AxisOrienter (class in sympy.vector.orienters) AZ() (in module sympy.crypto.crypto)

B

B (in module sympy.physics.secondquant) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) b_interval (sympy.sets.fancysets.ComplexRegion attribute) base (sympy.combinatorics.perm_groups.PermutationGroup attribute) (sympy.functions.elementary.exponential.exp attribute) (sympy.tensor.indexed.Indexed attribute) base_oneform() (sympy.diffgeom.CoordSystem method) base_oneforms() (sympy.diffgeom.CoordSystem method) base_solution_linear() (in module sympy.solvers.diophantine) base_vector() (sympy.diffgeom.CoordSystem method) base_vectors() (sympy.diffgeom.CoordSystem method) BaseCovarDerivativeOp (class in sympy.diffgeom) BasePolynomialError (class in sympy.polys.polyerrors) BaseScalarField (class in sympy.diffgeom) BaseSeries (class in sympy.plotting.plot) baseswap() (sympy.combinatorics.perm_groups.PermutationGroup method) BaseVectorField (class in sympy.diffgeom) Basic (class in sympy.core.basic) basic_orbits (sympy.combinatorics.perm_groups.PermutationGroup attribute) basic_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) basic_stabilizers (sympy.combinatorics.perm_groups.PermutationGroup attribute) basic_transversals (sympy.combinatorics.perm_groups.PermutationGroup attribute) basis() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) (sympy.polys.agca.modules.FreeModule method) BBra (in module sympy.physics.secondquant) Bd (in module sympy.physics.secondquant) BeamParameter (class in sympy.physics.optics.gaussopt) bell (class in sympy.functions.combinatorial.numbers) below() (sympy.printing.pretty.stringpict.stringPict method) Benini() (in module sympy.stats) berkowitz() (sympy.matrices.matrices.MatrixBase method) berkowitz_charpoly() (sympy.matrices.matrices.MatrixBase method) berkowitz_det() (sympy.matrices.matrices.MatrixBase method) berkowitz_eigenvals() (sympy.matrices.matrices.MatrixBase method) berkowitz_minors() (sympy.matrices.matrices.MatrixBase method) bernoulli (class in sympy.functions.combinatorial.numbers) Bernoulli() (in module sympy.stats) BesselBase (class in sympy.functions.special.bessel) besseli (class in sympy.functions.special.bessel) besselj (class in sympy.functions.special.bessel) besselk (class in sympy.functions.special.bessel) besselsimp() (in module sympy.simplify.simplify) bessely (class in sympy.functions.special.bessel)

beta (class in sympy.functions.special.beta_functions) Beta() (in module sympy.stats) BetaPrime() (in module sympy.stats) bifid5_square() (in module sympy.crypto.crypto), [1] bifid6_square() (in module sympy.crypto.crypto) bin_to_gray() (sympy.combinatorics.graycode method) binary_function() (in module sympy.utilities.autowrap) binary_partitions() (in module sympy.utilities.iterables) binomial (class in sympy.functions.combinatorial.factorials) Binomial() (in module sympy.stats) binomial_coefficients() (in module sympy.ntheory.multinomial) binomial_coefficients_list() (in module sympy.ntheory.multinomial) bisectors() (sympy.geometry.polygon.Triangle method) bitlist_from_subset() (sympy.combinatorics.subsets.Subset class method) BKet (in module sympy.physics.secondquant) block_collapse() (in module sympy.matrices.expressions.blockmatrix) BlockDiagMatrix (class in sympy.matrices.expressions.blockmatrix) BlockMatrix (class in sympy.matrices.expressions.blockmatrix) bm (sympy.functions.special.hyper.meijerg attribute) Body (class in sympy.physics.mechanics.body) BodyOrienter (class in sympy.vector.orienters) bool_map() (in module sympy.logic.boolalg) BooleanFalse (class in sympy.logic.boolalg) BooleanTrue (class in sympy.logic.boolalg) BosonicBasis (class in sympy.physics.secondquant) bother (sympy.functions.special.hyper.meijerg attribute) boundary (sympy.sets.sets.Set attribute) bounded (sympy.assumptions.ask.AssumptionKeys attribute) bounds (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.entity.GeometryEntity attribute) (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.point.Point2D attribute) (sympy.geometry.polygon.Polygon attribute) bq (sympy.functions.special.hyper.hyper attribute) (sympy.functions.special.hyper.meijerg attribute) Bra (class in sympy.physics.quantum.state) bra (sympy.physics.quantum.operator.OuterProduct attribute) (sympy.physics.secondquant.InnerProduct attribute) BraBase (class in sympy.physics.quantum.state) bracelets() (in module sympy.utilities.iterables) bsgs_direct_product() (in module sympy.combinatorics.tensor_can) bspline_basis() (in module sympy.functions.special.bsplines) bspline_basis_set() (in module sympy.functions.special.bsplines) build_expression_tree() (in module sympy.series.gruntz)

C

C (sympy.matrices.immutable.ImmutableMatrix attribute) (sympy.matrices.matrices.MatrixBase attribute) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) cacheit() (in module sympy.core.cache) calculate_series() (in module sympy.series.gruntz) can_transf_matrix (sympy.physics.unitsystems.dimensions.DimensionSystem attribute) cancel() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) canon_bp() (in module sympy.tensor.tensor) (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) canonical_variables (sympy.core.basic.Basic attribute) canonicalize() (in module sympy.combinatorics.tensor_can) capture() (in module sympy.utilities.iterables) cardinality (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.subsets.Subset attribute) cartan_matrix() (sympy.liealgebras.root_system.RootSystem method) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) CartanMatrix() (in module sympy.liealgebras.cartan_matrix) CartanType_generator (class in sympy.liealgebras.cartan_type) casoratian() (in module sympy.matrices.dense) Catalan (class in sympy.core.numbers) catalan (class in sympy.functions.combinatorial.numbers) Category (class in sympy.categories) Cauchy() (in module sympy.stats) ccode() (in module sympy.printing.ccode) CCodeGen (class in sympy.utilities.codegen) CCodePrinter (class in sympy.printing.ccode) ceiling (class in sympy.functions.elementary.integers) center (sympy.geometry.ellipse.Ellipse attribute) (sympy.geometry.polygon.RegularPolygon attribute) center() (sympy.combinatorics.perm_groups.PermutationGroup method) central_inertia (sympy.physics.mechanics.rigidbody.RigidBody attribute) centralizer() (sympy.combinatorics.perm_groups.PermutationGroup method) centroid (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) centroid() (in module sympy.geometry.util) CG (class in sympy.physics.quantum.cg) cg_simp() (in module sympy.physics.quantum.cg) CGate (class in sympy.physics.quantum.gate) CGateS (class in sympy.physics.quantum.gate) characteristic() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) charpoly() (sympy.matrices.matrices.MatrixBase method) chebyshevt (class in sympy.functions.special.polynomials) chebyshevt_poly() (in module sympy.polys.orthopolys) chebyshevt_root (class in sympy.functions.special.polynomials) chebyshevu (class in sympy.functions.special.polynomials) chebyshevu_poly() (in module sympy.polys.orthopolys) chebyshevu_root (class in sympy.functions.special.polynomials) check_and_join() (in module sympy.crypto.crypto) check_assumptions() (in module sympy.solvers.solvers) check_output() (sympy.utilities.runtests.SymPyOutputChecker method) checkinfsol() (in module sympy.solvers.ode) checkodesol() (in module sympy.solvers.ode) checkpdesol() (in module sympy.solvers.pde) checksol() (in module sympy.solvers.solvers) Chi (class in sympy.functions.special.error_functions) Chi() (in module sympy.stats) ChiNoncentral() (in module sympy.stats) ChiSquared() (in module sympy.stats) cholesky() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) cholesky_solve() (sympy.matrices.matrices.MatrixBase method) Ci (class in sympy.functions.special.error_functions) Circle (class in sympy.geometry.ellipse) circuit_plot() (in module sympy.physics.quantum.circuitplot) CircuitPlot (class in sympy.physics.quantum.circuitplot) circumcenter (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) circumcircle (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) circumference (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.ellipse.Ellipse attribute) circumradius (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) CL (sympy.matrices.sparse.SparseMatrix attribute) class_key() (sympy.core.add.Add class method) (sympy.core.basic.Basic class method) classify_diop() (in module sympy.solvers.diophantine) classify_ode() (in module sympy.solvers.ode) classify_pde() (in module sympy.solvers.pde) classof() (in module sympy.matrices.matrices) clear() (sympy.tensor.tensor._TensorManager method) clear_denoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) clebsch_gordan() (in module sympy.physics.wigner) CMod (class in sympy.physics.quantum.shor) CNOT (in module sympy.physics.quantum.gate) CNotGate (class in sympy.physics.quantum.gate) CodeGen (class in sympy.utilities.codegen) codegen() (in module sympy.utilities.codegen) CodePrinter (class in sympy.printing.codeprinter) CodeWrapper (class in sympy.utilities.autowrap) codomain (sympy.categories.CompositeMorphism attribute) (sympy.categories.Morphism attribute) coeff() (sympy.core.expr.Expr method) (sympy.polys.rings.PolyElement method) (sympy.series.sequences.SeqBase method) coeff_monomial() (sympy.polys.polytools.Poly method) coeff_mul() (sympy.series.sequences.EmptySequence method) (sympy.series.sequences.SeqBase method) (sympy.series.sequences.SeqFormula method) (sympy.series.sequences.SeqPer method) coefficients (sympy.geometry.line.LinearEntity attribute) coeffs() (sympy.polys.numberfields.AlgebraicNumber method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) CoercionFailed (class in sympy.polys.polyerrors) cofactor() (sympy.matrices.matrices.MatrixBase method) cofactorMatrix() (sympy.matrices.matrices.MatrixBase method) cofactors() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) coherent_state() (in module sympy.physics.qho_1d) Coin() (in module sympy.stats) col() (sympy.matrices.sparse.SparseMatrix method) col_del() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_insert() (sympy.matrices.matrices.MatrixBase method) col_join() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.MutableSparseMatrix method) col_list() (sympy.matrices.sparse.SparseMatrix method) col_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) col_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) collect() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) collect_const() (in module sympy.simplify.radsimp) collect_sqrt() (in module sympy.simplify.radsimp) columnspace() (sympy.matrices.matrices.MatrixBase method) combsimp() (in module sympy.simplify.combsimp) (sympy.core.expr.Expr method) comm_i2symbol() (sympy.tensor.tensor._TensorManager method) comm_symbols2i() (sympy.tensor.tensor._TensorManager method) common_prefix() (in module sympy.utilities.iterables) common_suffix() (in module sympy.utilities.iterables) commutative (sympy.assumptions.ask.AssumptionKeys attribute) commutative_diagrams (sympy.categories.Category attribute) Commutator (class in sympy.diffgeom) (class in sympy.physics.quantum.commutator) (class in sympy.physics.secondquant) commutator() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method)

commutes_with() (sympy.combinatorics.permutations.Permutation method) (sympy.tensor.tensor.TensorHead method) compare() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) Complement (class in sympy.sets.sets) complement() (sympy.sets.sets.Set method) complex (sympy.assumptions.ask.AssumptionKeys attribute) complex_elements (sympy.assumptions.ask.AssumptionKeys attribute) ComplexInfinity (class in sympy.core.numbers) ComplexRegion (class in sympy.sets.fancysets) ComplexRootOf (class in sympy.polys.rootoftools) ComplexSpace (class in sympy.physics.quantum.hilbert) components (sympy.categories.CompositeMorphism attribute) (sympy.vector.dyadic.Dyadic attribute) (sympy.vector.vector.Vector attribute) compose() (in module sympy.polys.polytools) (sympy.categories.Morphism method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) composite (sympy.assumptions.ask.AssumptionKeys attribute) CompositeDomain (class in sympy.polys.domains.compositedomain) CompositeMorphism (class in sympy.categories) ComputationFailed (class in sympy.polys.polyerrors) compute_fps() (in module sympy.series.formal) compute_known_facts() (in module sympy.assumptions.ask) compute_leading_term() (sympy.core.expr.Expr method) conclusions (sympy.categories.Diagram attribute) cond (sympy.functions.elementary.piecewise.ExprCondPair attribute) condition_number() (sympy.matrices.matrices.MatrixBase method) ConditionalDomain (class in sympy.stats.rv) conjugate (class in sympy.functions.elementary.complexes) (sympy.combinatorics.partitions.IntegerPartition attribute) conjugate_gauss_beams() (in module sympy.physics.optics.gaussopt) connect_to() (sympy.diffgeom.CoordSystem method) conserve_mpmath_dps() (in module sympy.utilities.decorator) const() (sympy.polys.rings.PolyElement method) Constant (class in sympy.physics.unitsystems.units) constant_renumber() (in module sympy.solvers.ode) constantsimp() (in module sympy.solvers.ode) construct_domain() (in module sympy.polys.constructor) contains() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.geometry.line.Line method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.line3d.Line3D method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.line3d.Ray3D method) (sympy.geometry.line3d.Segment3D method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) (sympy.polys.polytools.GroebnerBasis method) (sympy.series.order.Order method) (sympy.sets.sets.Set method) content() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) continued_fraction_convergents() (in module sympy.ntheory.continued_fraction) continued_fraction_iterator() (in module sympy.ntheory.continued_fraction) continued_fraction_periodic() (in module sympy.ntheory.continued_fraction) continued_fraction_reduce() (in module sympy.ntheory.continued_fraction) ContinuousDomain (class in sympy.stats.crv) ContinuousPSpace (class in sympy.stats.crv) ContinuousRV() (in module sympy.stats) contract_metric() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) contraction() (in module sympy.physics.secondquant) control_line() (sympy.physics.quantum.circuitplot.CircuitPlot method) control_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) controls (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) convergence_statement (sympy.functions.special.hyper.hyper attribute) convert() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) convert_from() (sympy.polys.domains.domain.Domain method) convert_to() (sympy.physics.unitsystems.quantities.Quantity method) convert_to_native_paths() (in module sympy.utilities.runtests) convert_xor() (in module sympy.parsing.sympy_parser) convex_hull() (in module sympy.geometry.util) coord_function() (sympy.diffgeom.CoordSystem method) coord_functions() (sympy.diffgeom.CoordSystem method) coord_tuple_transform_to() (sympy.diffgeom.CoordSystem method) CoordinateSym (class in sympy.physics.vector.frame) coords() (sympy.diffgeom.Point method) CoordSysCartesian (class in sympy.vector.coordsysrect) CoordSystem (class in sympy.diffgeom) copy() (sympy.polys.rings.PolyElement method) copyin_list() (sympy.matrices.dense.MutableDenseMatrix method) copyin_matrix() (sympy.matrices.dense.MutableDenseMatrix method) core() (in module sympy.ntheory.factor_) cornacchia() (in module sympy.solvers.diophantine) corners (sympy.combinatorics.polyhedron.Polyhedron attribute) cos (class in sympy.functions.elementary.trigonometric) coset_factor() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_rank() (sympy.combinatorics.perm_groups.PermutationGroup method) coset_unrank() (sympy.combinatorics.perm_groups.PermutationGroup method) cosh (class in sympy.functions.elementary.hyperbolic) cosine_transform() (in module sympy.integrals.transforms) cot (class in sympy.functions.elementary.trigonometric) coth (class in sympy.functions.elementary.hyperbolic) could_extract_minus_sign() (sympy.core.expr.Expr method) count() (sympy.core.basic.Basic method) count_complex_roots() (sympy.polys.polyclasses.DMP method) count_ops() (in module sympy.core.function) (sympy.core.basic.Basic method) (sympy.core.expr.Expr method) count_partitions() (sympy.utilities.enumerative.MultisetPartitionTraverser method) count_real_roots() (sympy.polys.polyclasses.DMP method) count_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) couple() (in module sympy.physics.quantum.spin) CovarDerivativeOp (class in sympy.diffgeom) coxeter_diagram() (sympy.liealgebras.weyl_group.WeylGroup method) CreateBoson (class in sympy.physics.secondquant) CreateCGate() (in module sympy.physics.quantum.circuitplot) CreateFermion (class in sympy.physics.secondquant) cross() (in module sympy.physics.vector.functions) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) crt() (in module sympy.ntheory.modular) crt1() (in module sympy.ntheory.modular) crt2() (in module sympy.ntheory.modular) csc (class in sympy.functions.elementary.trigonometric) csch (class in sympy.functions.elementary.hyperbolic) cse() (in module sympy.simplify.cse_main) curl() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) current (sympy.combinatorics.graycode.GrayCode attribute) Curve (class in sympy.geometry.curve) CurvedMirror (class in sympy.physics.optics.gaussopt) CurvedRefraction (class in sympy.physics.optics.gaussopt) Cycle (class in sympy.combinatorics.permutations) cycle_length() (in module sympy.ntheory.generate) cycle_list() (in module sympy.crypto.crypto) cycle_structure (sympy.combinatorics.permutations.Permutation attribute) cycles (sympy.combinatorics.permutations.Permutation attribute) cyclic() (sympy.combinatorics.generators method) cyclic_form (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) CyclicGroup() (in module sympy.combinatorics.named_groups) cyclotomic_poly() (in module sympy.polys.specialpolys) CythonCodeWrapper (class in sympy.utilities.autowrap)

D

D (sympy.matrices.matrices.MatrixBase attribute) (sympy.physics.optics.gaussopt.RayTransferMatrix attribute) D() (sympy.physics.quantum.spin.Rotation class method) d() (sympy.physics.quantum.spin.Rotation class method) Dagger (class in sympy.physics.quantum.dagger) (class in sympy.physics.secondquant) Dagum() (in module sympy.stats) DataType (class in sympy.utilities.codegen) dcm() (sympy.physics.vector.frame.ReferenceFrame method) debug() (in module sympy.utilities.misc) debug_decorator() (in module sympy.utilities.misc) decipher_affine() (in module sympy.crypto.crypto) decipher_bifid() (in module sympy.crypto.crypto) decipher_bifid5() (in module sympy.crypto.crypto) decipher_bifid6() (in module sympy.crypto.crypto) decipher_elgamal() (in module sympy.crypto.crypto), [1] decipher_hill() (in module sympy.crypto.crypto) decipher_kid_rsa() (in module sympy.crypto.crypto) decipher_rsa() (in module sympy.crypto.crypto) decipher_shift() (in module sympy.crypto.crypto) decipher_vigenere() (in module sympy.crypto.crypto) decode_morse() (in module sympy.crypto.crypto) decompose() (in module sympy.polys.polytools) (sympy.physics.quantum.gate.CGate method) (sympy.physics.quantum.gate.SwapGate method) (sympy.physics.quantum.qft.IQFT method) (sympy.physics.quantum.qft.QFT method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) deflate() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) degree (sympy.combinatorics.perm_groups.PermutationGroup attribute) degree() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) degree_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) degrees() (sympy.polys.rings.PolyElement method) Del (class in sympy.vector.deloperator) delete_doubles() (sympy.liealgebras.weyl_group.WeylGroup method) delta (sympy.functions.special.hyper.meijerg attribute) denom() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) density() (in module sympy.stats) depth() (sympy.polys.agca.ideals.Ideal method) Derivative (class in sympy.core.function) derived_series() (sympy.combinatorics.perm_groups.PermutationGroup method) derived_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) descent() (in module sympy.solvers.diophantine) descents() (sympy.combinatorics.permutations.Permutation method) det() (sympy.matrices.matrices.MatrixBase method) det_bareis() (sympy.matrices.matrices.MatrixBase method) det_LU_decomposition() (sympy.matrices.matrices.MatrixBase method) deviation() (in module sympy.physics.optics.utils) dh_private_key() (in module sympy.crypto.crypto) dh_public_key() (in module sympy.crypto.crypto) dh_shared_key() (in module sympy.crypto.crypto) diag() (in module sympy.matrices.dense) diagonal (sympy.assumptions.ask.AssumptionKeys attribute) diagonal_solve() (sympy.matrices.matrices.MatrixBase method) diagonalize() (sympy.matrices.matrices.MatrixBase method) Diagram (class in sympy.categories) DiagramGrid (class in sympy.categories.diagram_drawing) Dict (class in sympy.core.containers) dict_merge() (in module sympy.utilities.iterables) Die() (in module sympy.stats) DiePSpace (class in sympy.stats.frv_types) diff() (in module sympy.core.function) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.vector.Vector method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) difference_delta() (in module sympy.series.limitseq) Differential (class in sympy.diffgeom) DifferentialOperator (class in sympy.physics.quantum.operator) digamma() (in module sympy.functions.special.gamma_functions) digit_2txt (in module sympy.printing.pretty.pretty_symbology) digits() (in module sympy.ntheory.factor_) dihedral() (sympy.combinatorics.generators method) DihedralGroup() (in module sympy.combinatorics.named_groups) dim (sympy.physics.unitsystems.dimensions.DimensionSystem attribute) (sympy.physics.unitsystems.units.UnitSystem attribute) dim_can_vector() (sympy.physics.unitsystems.dimensions.DimensionSystem method) dim_vector() (sympy.physics.unitsystems.dimensions.DimensionSystem method) Dimension (class in sympy.physics.unitsystems.dimensions) dimension (sympy.physics.quantum.hilbert.HilbertSpace attribute) dimension() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) DimensionSystem (class in sympy.physics.unitsystems.dimensions) diop_bf_DN() (in module sympy.solvers.diophantine) diop_DN() (in module sympy.solvers.diophantine) diop_general_pythagorean() (in module sympy.solvers.diophantine) diop_general_sum_of_squares() (in module sympy.solvers.diophantine) diop_linear() (in module sympy.solvers.diophantine) diop_quadratic() (in module sympy.solvers.diophantine) diop_solve() (in module sympy.solvers.diophantine) diop_ternary_quadratic() (in module sympy.solvers.diophantine) diop_ternary_quadratic_normal() (in module sympy.solvers.diophantine) diophantine() (in module sympy.solvers.diophantine) DiracDelta (class in sympy.functions.special.delta_functions) direction (sympy.geometry.line.Ray attribute) direction_cosine (sympy.geometry.line3d.LinearEntity3D attribute) direction_cosine() (sympy.geometry.point.Point3D method) direction_ratio (sympy.geometry.line3d.LinearEntity3D attribute) direction_ratio() (sympy.geometry.point.Point3D method) DirectProduct() (in module sympy.combinatorics.group_constructs) dirichlet_eta (class in sympy.functions.special.zeta_functions) DiscreteUniform() (in module sympy.stats) discriminant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) dispersion() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) dispersionset() (in module sympy.polys.dispersion), [1] (sympy.polys.polytools.Poly method) distance() (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.line3d.Line3D method) (sympy.geometry.line3d.Ray3D method) (sympy.geometry.line3d.Segment3D method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.polygon.Polygon method) div() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) divergence (sympy.physics.optics.gaussopt.BeamParameter attribute) divergence() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) divisible() (in module sympy.solvers.diophantine) divisor_count() (in module sympy.ntheory.factor_) divisor_sigma() (in module sympy.ntheory.factor_) divisors() (in module sympy.ntheory.factor_) DMF (class in sympy.polys.polyclasses) DMP (class in sympy.polys.polyclasses) dmp_abs() (in module sympy.polys.densearith) dmp_add() (in module sympy.polys.densearith) dmp_add_ground() (in module sympy.polys.densearith) dmp_add_mul() (in module sympy.polys.densearith) dmp_add_term() (in module sympy.polys.densearith) dmp_apply_pairs() (in module sympy.polys.densebasic) dmp_cancel() (in module sympy.polys.euclidtools) dmp_clear_denoms() (in module sympy.polys.densetools) dmp_compose() (in module sympy.polys.densetools) dmp_content() (in module sympy.polys.euclidtools) dmp_convert() (in module sympy.polys.densebasic) dmp_copy() (in module sympy.polys.densebasic) dmp_deflate() (in module sympy.polys.densebasic) dmp_degree() (in module sympy.polys.densebasic) dmp_degree_in() (in module sympy.polys.densebasic) dmp_degree_list() (in module sympy.polys.densebasic) dmp_diff() (in module sympy.polys.densetools) dmp_diff_eval_in() (in module sympy.polys.densetools) dmp_diff_in() (in module sympy.polys.densetools) dmp_discriminant() (in module sympy.polys.euclidtools) dmp_div() (in module sympy.polys.densearith) dmp_eject() (in module sympy.polys.densebasic) dmp_euclidean_prs() (in module sympy.polys.euclidtools) dmp_eval() (in module sympy.polys.densetools) dmp_eval_in() (in module sympy.polys.densetools) dmp_eval_tail() (in module sympy.polys.densetools) dmp_exclude() (in module sympy.polys.densebasic) dmp_expand() (in module sympy.polys.densearith) dmp_exquo() (in module sympy.polys.densearith) dmp_exquo_ground() (in module sympy.polys.densearith) dmp_ext_factor() (in module sympy.polys.factortools) dmp_factor_list() (in module sympy.polys.factortools) dmp_factor_list_include() (in module sympy.polys.factortools) dmp_ff_div() (in module sympy.polys.densearith) dmp_ff_prs_gcd() (in module sympy.polys.euclidtools) dmp_from_dict() (in module sympy.polys.densebasic) dmp_from_sympy() (in module sympy.polys.densebasic) dmp_gcd() (in module sympy.polys.euclidtools) dmp_gcdex() (in module sympy.polys.euclidtools) dmp_ground() (in module sympy.polys.densebasic) dmp_ground_content() (in module sympy.polys.densetools) dmp_ground_extract() (in module sympy.polys.densetools) dmp_ground_LC() (in module sympy.polys.densebasic) dmp_ground_monic() (in module sympy.polys.densetools)

dmp_ground_nth() (in module sympy.polys.densebasic) dmp_ground_p() (in module sympy.polys.densebasic) dmp_ground_primitive() (in module sympy.polys.densetools) dmp_ground_TC() (in module sympy.polys.densebasic) dmp_ground_trunc() (in module sympy.polys.densetools) dmp_grounds() (in module sympy.polys.densebasic) dmp_half_gcdex() (in module sympy.polys.euclidtools) dmp_include() (in module sympy.polys.densebasic) dmp_inflate() (in module sympy.polys.densebasic) dmp_inject() (in module sympy.polys.densebasic) dmp_inner_gcd() (in module sympy.polys.euclidtools) dmp_inner_subresultants() (in module sympy.polys.euclidtools) dmp_integrate() (in module sympy.polys.densetools) dmp_integrate_in() (in module sympy.polys.densetools) dmp_invert() (in module sympy.polys.euclidtools) dmp_irreducible_p() (in module sympy.polys.factortools) dmp_l1_norm() (in module sympy.polys.densearith) dmp_LC() (in module sympy.polys.densebasic) dmp_lcm() (in module sympy.polys.euclidtools) dmp_lift() (in module sympy.polys.densetools) dmp_list_terms() (in module sympy.polys.densebasic) dmp_max_norm() (in module sympy.polys.densearith) dmp_mul() (in module sympy.polys.densearith) dmp_mul_ground() (in module sympy.polys.densearith) dmp_mul_term() (in module sympy.polys.densearith) dmp_multi_deflate() (in module sympy.polys.densebasic) dmp_neg() (in module sympy.polys.densearith) dmp_negative_p() (in module sympy.polys.densebasic) dmp_nest() (in module sympy.polys.densebasic) dmp_normal() (in module sympy.polys.densebasic) dmp_nth() (in module sympy.polys.densebasic) dmp_one() (in module sympy.polys.densebasic) dmp_one_p() (in module sympy.polys.densebasic) dmp_pdiv() (in module sympy.polys.densearith) dmp_permute() (in module sympy.polys.densebasic) dmp_pexquo() (in module sympy.polys.densearith) dmp_positive_p() (in module sympy.polys.densebasic) dmp_pow() (in module sympy.polys.densearith) dmp_pquo() (in module sympy.polys.densearith) dmp_prem() (in module sympy.polys.densearith) dmp_primitive() (in module sympy.polys.euclidtools) dmp_primitive_prs() (in module sympy.polys.euclidtools) dmp_prs_resultant() (in module sympy.polys.euclidtools) dmp_qq_collins_resultant() (in module sympy.polys.euclidtools) dmp_qq_heu_gcd() (in module sympy.polys.euclidtools) dmp_quo() (in module sympy.polys.densearith) dmp_quo_ground() (in module sympy.polys.densearith) dmp_raise() (in module sympy.polys.densebasic) dmp_rem() (in module sympy.polys.densearith) dmp_resultant() (in module sympy.polys.euclidtools) dmp_revert() (in module sympy.polys.densetools) dmp_rr_div() (in module sympy.polys.densearith) dmp_rr_prs_gcd() (in module sympy.polys.euclidtools) dmp_slice() (in module sympy.polys.densebasic) dmp_sqr() (in module sympy.polys.densearith) dmp_strip() (in module sympy.polys.densebasic) dmp_sub() (in module sympy.polys.densearith) dmp_sub_ground() (in module sympy.polys.densearith) dmp_sub_mul() (in module sympy.polys.densearith) dmp_sub_term() (in module sympy.polys.densearith) dmp_subresultants() (in module sympy.polys.euclidtools) dmp_swap() (in module sympy.polys.densebasic) dmp_TC() (in module sympy.polys.densebasic) dmp_terms_gcd() (in module sympy.polys.densebasic) dmp_to_dict() (in module sympy.polys.densebasic) dmp_to_tuple() (in module sympy.polys.densebasic) dmp_trial_division() (in module sympy.polys.factortools) dmp_true_LT() (in module sympy.polys.densebasic) dmp_trunc() (in module sympy.polys.densetools) dmp_validate() (in module sympy.polys.densebasic) dmp_zero() (in module sympy.polys.densebasic) dmp_zero_p() (in module sympy.polys.densebasic) dmp_zeros() (in module sympy.polys.densebasic) dmp_zz_collins_resultant() (in module sympy.polys.euclidtools) dmp_zz_diophantine() (in module sympy.polys.factortools) dmp_zz_factor() (in module sympy.polys.factortools) dmp_zz_heu_gcd() (in module sympy.polys.euclidtools) dmp_zz_mignotte_bound() (in module sympy.polys.factortools) dmp_zz_modular_resultant() (in module sympy.polys.euclidtools) dmp_zz_wang() (in module sympy.polys.factortools) dmp_zz_wang_hensel_lifting() (in module sympy.polys.factortools) dmp_zz_wang_lead_coeffs() (in module sympy.polys.factortools) dmp_zz_wang_non_divisors() (in module sympy.polys.factortools) dmp_zz_wang_test_points() (in module sympy.polys.factortools) doctest() (in module sympy.utilities.runtests) doctest_depends_on() (in module sympy.utilities.decorator) doit() (sympy.core.basic.Basic method) (sympy.functions.elementary.piecewise.Piecewise method) (sympy.integrals.Integral method) (sympy.physics.quantum.anticommutator.AntiCommutator method) (sympy.physics.quantum.commutator.Commutator method) (sympy.physics.secondquant.AntiSymmetricTensor method) (sympy.physics.secondquant.Commutator method) (sympy.physics.secondquant.NO method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.series.limits.Limit method) doit_numerically() (sympy.core.function.Derivative method) Domain (class in sympy.polys.domains.domain) domain (sympy.categories.CompositeMorphism attribute) (sympy.categories.Morphism attribute) (sympy.polys.polytools.Poly attribute) domain_check() (in module sympy.solvers.solveset) DomainError (class in sympy.polys.polyerrors) dominant() (in module sympy.series.limitseq) doprint() (sympy.printing.mathematica.MCodePrinter method) (sympy.printing.mathml.MathMLPrinter method) (sympy.printing.printer.Printer method) (sympy.printing.theanocode.TheanoPrinter method) dot() (in module sympy.physics.vector.functions) (sympy.geometry.point.Point method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.deloperator.Del method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) dot_rot_grad_Ynm() (in module sympy.physics.wigner) dotprint() (in module sympy.printing.dot) double_coset_can_rep() (in module sympy.combinatorics.tensor_can) draw() (sympy.categories.diagram_drawing.XypicDiagramDrawer method) drop() (sympy.polys.rings.PolyRing method) drop_to_ground() (sympy.polys.rings.PolyRing method) dsolve() (in module sympy.solvers.ode) dt() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) dtype (sympy.polys.agca.modules.FreeModule attribute) (sympy.polys.agca.modules.QuotientModule attribute) (sympy.polys.domains.AlgebraicField attribute) (sympy.polys.domains.ExpressionDomain attribute) dual (sympy.physics.quantum.state.StateBase attribute) dual() (sympy.matrices.matrices.MatrixBase method) dual_class() (sympy.physics.quantum.state.StateBase class method) Dummy (class in sympy.core.symbol) dummy_eq() (sympy.core.basic.Basic method) DummyWrapper (class in sympy.utilities.autowrap) dump_c() (sympy.utilities.autowrap.UfuncifyCodeWrapper method) (sympy.utilities.codegen.CCodeGen method) dump_code() (sympy.utilities.codegen.CodeGen method) dump_f95() (sympy.utilities.codegen.FCodeGen method) dump_h() (sympy.utilities.codegen.CCodeGen method) (sympy.utilities.codegen.FCodeGen method) dump_jl() (sympy.utilities.codegen.JuliaCodeGen method) dump_m() (sympy.utilities.codegen.OctaveCodeGen method) dump_pyx() (sympy.utilities.autowrap.CythonCodeWrapper method) dup_content() (in module sympy.polys.densetools) dup_cyclotomic_p() (in module sympy.polys.factortools) dup_decompose() (in module sympy.polys.densetools) dup_extract() (in module sympy.polys.densetools) dup_gf_factor() (in module sympy.polys.factortools) dup_lshift() (in module sympy.polys.densearith) dup_mirror() (in module sympy.polys.densetools) dup_monic() (in module sympy.polys.densetools) dup_primitive() (in module sympy.polys.densetools) dup_random() (in module sympy.polys.densebasic) dup_real_imag() (in module sympy.polys.densetools) dup_reverse() (in module sympy.polys.densebasic) dup_rshift() (in module sympy.polys.densearith) dup_scale() (in module sympy.polys.densetools) dup_shift() (in module sympy.polys.densetools) dup_sign_variations() (in module sympy.polys.densetools) dup_transform() (in module sympy.polys.densetools) dup_zz_cyclotomic_factor() (in module sympy.polys.factortools) dup_zz_cyclotomic_poly() (in module sympy.polys.factortools) dup_zz_factor() (in module sympy.polys.factortools) dup_zz_factor_sqf() (in module sympy.polys.factortools) dup_zz_hensel_lift() (in module sympy.polys.factortools) dup_zz_hensel_step() (in module sympy.polys.factortools) dup_zz_irreducible_p() (in module sympy.polys.factortools) dup_zz_zassenhaus() (in module sympy.polys.factortools) Dyadic (class in sympy.physics.vector.dyadic) (class in sympy.vector.dyadic) dynamicsymbols() (in module sympy.physics.vector) dynkin_diagram() (sympy.liealgebras.root_system.RootSystem method) DynkinDiagram() (in module sympy.liealgebras.dynkin_diagram)

E

E() (in module sympy.stats) E1() (in module sympy.functions.special.error_functions) E_n() (in module sympy.physics.qho_1d) E_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) E_nl_dirac() (in module sympy.physics.hydrogen) EC() (sympy.polys.polytools.Poly method) eccentricity (sympy.geometry.ellipse.Ellipse attribute) edges (sympy.combinatorics.polyhedron.Polyhedron attribute) edges() (sympy.combinatorics.prufer.Prufer static method) egyptian_fraction() (in module sympy.ntheory.egyptian_fraction) Ei (class in sympy.functions.special.error_functions) eigenvals() (sympy.matrices.matrices.MatrixBase method) eigenvects() (sympy.matrices.matrices.MatrixBase method) Eijk() (in module sympy.functions.special.tensor_functions) eject() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) element_order() (sympy.liealgebras.weyl_group.WeylGroup method) elements (sympy.combinatorics.perm_groups.PermutationGroup attribute) elgamal_private_key() (in module sympy.crypto.crypto) elgamal_public_key() (in module sympy.crypto.crypto) Ellipse (class in sympy.geometry.ellipse) elliptic_e (class in sympy.functions.special.elliptic_integrals) elliptic_f (class in sympy.functions.special.elliptic_integrals) elliptic_k (class in sympy.functions.special.elliptic_integrals) elliptic_pi (class in sympy.functions.special.elliptic_integrals) EM() (sympy.polys.polytools.Poly method) emptyPrinter() (sympy.printing.repr.ReprPrinter method) EmptySequence (class in sympy.series.sequences) EmptySet (class in sympy.sets.sets) encipher_affine() (in module sympy.crypto.crypto) encipher_bifid() (in module sympy.crypto.crypto) encipher_bifid5() (in module sympy.crypto.crypto) encipher_bifid6() (in module sympy.crypto.crypto) encipher_elgamal() (in module sympy.crypto.crypto), [1] encipher_hill() (in module sympy.crypto.crypto) encipher_kid_rsa() (in module sympy.crypto.crypto) encipher_rsa() (in module sympy.crypto.crypto) encipher_shift() (in module sympy.crypto.crypto) encipher_substitution() (in module sympy.crypto.crypto) encipher_vigenere() (in module sympy.crypto.crypto) encloses() (sympy.geometry.entity.GeometryEntity method) encloses_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.Polygon method) (sympy.geometry.polygon.RegularPolygon method) encode_morse() (in module sympy.crypto.crypto) end (sympy.sets.sets.Interval attribute) enum_all() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_large() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_range() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enum_small() (sympy.utilities.enumerative.MultisetPartitionTraverser method) enumerate_states() (in module sympy.physics.quantum.represent) EPath (class in sympy.simplify.epathtools) epath() (in module sympy.simplify.epathtools) Eq (in module sympy.core.relational) Equality (class in sympy.core.relational) equals() (sympy.core.expr.Expr method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line3d.Line3D method) (sympy.geometry.line3d.Ray3D method) (sympy.geometry.point.Point method) (sympy.matrices.expressions.MatrixExpr method) (sympy.matrices.immutable.ImmutableMatrix method) equation() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line method) (sympy.geometry.line3d.Line3D method) (sympy.geometry.plane.Plane method) Equivalent (class in sympy.logic.boolalg) equivalent() (in module sympy.solvers.diophantine) erf (class in sympy.functions.special.error_functions) erf2 (class in sympy.functions.special.error_functions) erf2inv (class in sympy.functions.special.error_functions) erfc (class in sympy.functions.special.error_functions)

erfcinv (class in sympy.functions.special.error_functions) erfi (class in sympy.functions.special.error_functions) erfinv (class in sympy.functions.special.error_functions) Erlang() (in module sympy.stats) ET() (sympy.polys.polytools.Poly method) eta (sympy.functions.special.hyper.hyper attribute) euler (class in sympy.functions.combinatorial.numbers) euler_equations() (in module sympy.calculus.euler) euler_maclaurin() (sympy.concrete.summations.Sum method) EulerGamma (class in sympy.core.numbers) eulerline (sympy.geometry.polygon.Triangle attribute) eval() (sympy.assumptions.assume.Predicate method) (sympy.functions.special.tensor_functions.KroneckerDelta class method) (sympy.physics.secondquant.Commutator class method) (sympy.physics.secondquant.Dagger class method) (sympy.physics.secondquant.KroneckerDelta class method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) eval_controls() (sympy.physics.quantum.gate.CGate method) eval_expr() (in module sympy.parsing.sympy_parser) eval_levicivita() (in module sympy.functions.special.tensor_functions) eval_zeta_function() (sympy.concrete.summations.Sum method) evalf() (sympy.geometry.point.Point method) (sympy.matrices.matrices.MatrixBase method) (sympy.polys.domains.domain.Domain method) evaluate_deltas() (in module sympy.physics.secondquant) evaluate_pauli_product() (in module sympy.physics.paulialgebra) EvaluationFailed (class in sympy.polys.polyerrors) even (sympy.assumptions.ask.AssumptionKeys attribute) evolute() (sympy.geometry.ellipse.Ellipse method) ExactQuotientFailed (class in sympy.polys.polyerrors) exclude() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exp (class in sympy.functions.elementary.exponential) exp() (sympy.matrices.matrices.MatrixBase method) Exp1 (class in sympy.core.numbers) exp_re() (in module sympy.series.formal) expand() (in module sympy.core.function) (sympy.core.expr.Expr method) (sympy.matrices.matrices.MatrixBase method) expand_complex() (in module sympy.core.function) expand_func() (in module sympy.core.function) expand_log() (in module sympy.core.function) expand_mul() (in module sympy.core.function) expand_multinomial() (in module sympy.core.function) expand_power_base() (in module sympy.core.function) expand_power_exp() (in module sympy.core.function) expand_trig() (in module sympy.core.function) expint (class in sympy.functions.special.error_functions) Exponential() (in module sympy.stats) Expr (class in sympy.core.expr) expr (sympy.core.function.Lambda attribute) (sympy.core.function.Subs attribute) (sympy.functions.elementary.piecewise.ExprCondPair attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.physics.quantum.state.Wavefunction attribute) ExprCondPair (class in sympy.functions.elementary.piecewise) express() (in module sympy.physics.vector.functions) (in module sympy.vector) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) ExpressionDomain (class in sympy.polys.domains) ExpressionDomain.Expression (class in sympy.polys.domains) exquo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) exquo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) extend() (sympy.ntheory.generate.Sieve method) (sympy.physics.unitsystems.dimensions.DimensionSystem method) (sympy.physics.unitsystems.units.UnitSystem method) (sympy.plotting.plot.Plot method) extend_to_no() (sympy.ntheory.generate.Sieve method) extended_euclid() (in module sympy.solvers.diophantine) extended_real (sympy.assumptions.ask.AssumptionKeys attribute) exterior_angle (sympy.geometry.polygon.RegularPolygon attribute) extract() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) extract_additively() (sympy.core.expr.Expr method) extract_branch_factor() (sympy.core.expr.Expr method) extract_leading_order() (sympy.core.add.Add method) extract_multiplicatively() (sympy.core.expr.Expr method) extract_type_tens() (sympy.physics.hep.gamma_matrices.GammaMatrixHead static method) ExtraneousFactors (class in sympy.polys.polyerrors) eye() (in module sympy.matrices.dense) (sympy.matrices.sparse.SparseMatrix class method)

F

F (in module sympy.physics.secondquant) F2PyCodeWrapper (class in sympy.utilities.autowrap) faces (sympy.combinatorics.polyhedron.Polyhedron attribute) factor (sympy.physics.unitsystems.units.Unit attribute) factor() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) factor_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) factor_terms() (in module sympy.core.exprtools) factorial (class in sympy.functions.combinatorial.factorials) factorial() (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) factorial2 (class in sympy.functions.combinatorial.factorials) factorial_notation() (in module sympy.parsing.sympy_parser) factoring_visitor() (in module sympy.utilities.enumerative) factorint() (in module sympy.ntheory.factor_) factors() (sympy.core.numbers.Rational method) FallingFactorial (class in sympy.functions.combinatorial.factorials) FBra (in module sympy.physics.secondquant) fcode() (in module sympy.printing.fcode) FCodeGen (class in sympy.utilities.codegen) FCodePrinter (class in sympy.printing.fcode) Fd (in module sympy.physics.secondquant) fdiff() (sympy.core.function.Function method) (sympy.functions.elementary.complexes.Abs method) (sympy.functions.elementary.exponential.LambertW method) (sympy.functions.elementary.exponential.exp method) (sympy.functions.elementary.exponential.log method) (sympy.functions.elementary.hyperbolic.csch method) (sympy.functions.elementary.hyperbolic.sinh method) FDistribution() (in module sympy.stats) fglm() (sympy.polys.polytools.GroebnerBasis method) fibonacci (class in sympy.functions.combinatorial.numbers) Field (class in sympy.polys.domains.field) field_isomorphism() (in module sympy.polys.numberfields) fill() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) filldedent() (in module sympy.utilities.misc) filter_symbols() (in module sympy.utilities.iterables) find() (sympy.core.basic.Basic method) find_DN() (in module sympy.solvers.diophantine) find_dynamicsymbols() (in module sympy.physics.mechanics) find_executable() (in module sympy.utilities.misc) find_unit() (in module sympy.physics.units) finite (sympy.assumptions.ask.AssumptionKeys attribute) finite_diff_weights() (in module sympy.calculus.finite_diff) FiniteDomain (class in sympy.stats.frv) FiniteField (class in sympy.polys.domains) FinitePSpace (class in sympy.stats.frv) FiniteRV() (in module sympy.stats) FiniteSet (class in sympy.sets.sets) FisherZ() (in module sympy.stats) FixedBosonicBasis (class in sympy.physics.secondquant) FKet (in module sympy.physics.secondquant) FlagError (class in sympy.polys.polyerrors) FlatMirror (class in sympy.physics.optics.gaussopt) FlatRefraction (class in sympy.physics.optics.gaussopt) flatten() (in module sympy.utilities.iterables) (sympy.categories.CompositeMorphism method) (sympy.core.add.Add class method) (sympy.core.mul.Mul class method) Float (class in sympy.core.numbers) floor (class in sympy.functions.elementary.integers) foci (sympy.geometry.ellipse.Ellipse attribute) FockSpace (class in sympy.physics.quantum.hilbert) FockState (class in sympy.physics.secondquant) FockStateBosonBra (class in sympy.physics.secondquant) FockStateBosonKet (class in sympy.physics.secondquant) FockStateBra (class in sympy.physics.secondquant) FockStateKet (class in sympy.physics.secondquant) focus_distance (sympy.geometry.ellipse.Ellipse attribute)

forcing (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) forcing_full (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) form_lagranges_equations() (sympy.physics.mechanics.lagrange.LagrangesMethod method) FormalPowerSeries (class in sympy.series.formal) fourier_series() (in module sympy.series.fourier) (sympy.core.expr.Expr method) fourier_transform() (in module sympy.integrals.transforms) FourierSeries (class in sympy.series.fourier) fps() (in module sympy.series.formal) (sympy.core.expr.Expr method) frac (class in sympy.functions.elementary.integers) (in module sympy.printing.pretty.pretty_symbology) frac_field() (sympy.polys.domains.domain.Domain method) frac_unify() (sympy.polys.polyclasses.DMF method) fraction() (in module sympy.simplify.radsimp) FractionField (class in sympy.polys.domains) Frechet() (in module sympy.stats) free_module() (sympy.polys.domains.ring.Ring method) free_symbols (sympy.core.basic.Basic attribute) (sympy.functions.elementary.piecewise.ExprCondPair attribute) (sympy.geometry.curve.Curve attribute) (sympy.integrals.Integral attribute) (sympy.matrices.matrices.MatrixBase attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.polys.polytools.Poly attribute) (sympy.polys.polytools.PurePoly attribute) (sympy.series.sequences.SeqBase attribute) free_symbols_in_domain (sympy.polys.polytools.Poly attribute) FreeModule (class in sympy.polys.agca.modules) FreeSpace (class in sympy.physics.optics.gaussopt) frequency (sympy.physics.optics.waves.TWave attribute) fresnelc (class in sympy.functions.special.error_functions) FresnelIntegral (class in sympy.functions.special.error_functions) fresnels (class in sympy.functions.special.error_functions) from_AlgebraicField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RationalField method) from_ComplexField() (sympy.polys.domains.domain.Domain method) from_dict() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_expr() (sympy.polys.polytools.Poly class method) from_ExpressionDomain() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) from_FF_gmpy() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FF_python() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.FiniteField method) from_FractionField() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_GlobalPolynomialRing() (sympy.polys.domains.domain.Domain method) from_inversion_vector() (sympy.combinatorics.permutations.Permutation class method) from_list() (sympy.polys.polyclasses.DMP class method) (sympy.polys.polytools.Poly class method) from_poly() (sympy.polys.polytools.Poly class method) from_PolynomialRing() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) from_QQ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_QQ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_RealField() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_rgs() (sympy.combinatorics.partitions.Partition class method) from_sequence() (sympy.combinatorics.permutations.Permutation class method) from_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) from_sympy_list() (sympy.polys.polyclasses.DMP class method) from_TIDS_list() (sympy.tensor.tensor.TensAdd static method) from_ZZ_gmpy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) from_ZZ_python() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) fromiter() (sympy.core.basic.Basic class method) full_cyclic_form (sympy.combinatorics.permutations.Permutation attribute) fullrank (sympy.assumptions.ask.AssumptionKeys attribute) fun_eval() (sympy.tensor.tensor.TensAdd method) (sympy.tensor.tensor.TensMul method) func (sympy.core.basic.Basic attribute) func_field_modgcd() (in module sympy.polys.modulargcd) func_name() (in module sympy.utilities.misc) Function (class in sympy.core.function) function (sympy.physics.quantum.operator.DifferentialOperator attribute) function_exponentiation() (in module sympy.parsing.sympy_parser) FunctionClass (class in sympy.core.function) FunctionMatrix (class in sympy.matrices.expressions) functions (sympy.geometry.curve.Curve attribute)

G

G() (in module sympy.printing.pretty.pretty_symbology) g() (in module sympy.printing.pretty.pretty_symbology) gamma (class in sympy.functions.special.gamma_functions) Gamma() (in module sympy.stats) gamma_trace() (sympy.physics.hep.gamma_matrices.GammaMatrixHead method) GammaInverse() (in module sympy.stats) GammaMatrixHead (class in sympy.physics.hep.gamma_matrices) Gate (class in sympy.physics.quantum.gate) gate (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) gate_simp() (in module sympy.physics.quantum.gate) gate_sort() (in module sympy.physics.quantum.gate) gaunt() (in module sympy.physics.wigner) gauss_chebyshev_t() (in module sympy.integrals.quadrature) gauss_chebyshev_u() (in module sympy.integrals.quadrature) gauss_gen_laguerre() (in module sympy.integrals.quadrature) gauss_hermite() (in module sympy.integrals.quadrature) gauss_jacobi() (in module sympy.integrals.quadrature) gauss_jordan_solve() (sympy.matrices.matrices.MatrixBase method) gauss_laguerre() (in module sympy.integrals.quadrature) gauss_legendre() (in module sympy.integrals.quadrature) gaussian_conj() (in module sympy.physics.optics.gaussopt) gaussian_reduce() (in module sympy.solvers.diophantine) gcd() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) gcd_list() (in module sympy.polys.polytools) gcd_terms() (in module sympy.core.exprtools) gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Ge (in module sympy.core.relational) gegenbauer (class in sympy.functions.special.polynomials) gegenbauer_poly() (in module sympy.polys.orthopolys) gen (sympy.polys.polytools.Poly attribute) (sympy.series.sequences.SeqBase attribute) generate() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_bell() (in module sympy.utilities.iterables) generate_derangements() (in module sympy.utilities.iterables) generate_dimino() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_gray() (sympy.combinatorics.graycode.GrayCode method) generate_involutions() (in module sympy.utilities.iterables) generate_oriented_forest() (in module sympy.utilities.iterables) generate_schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) generate_tokens() (in module sympy.parsing.sympy_tokenize) generators (sympy.combinatorics.perm_groups.PermutationGroup attribute) generators() (sympy.liealgebras.weyl_group.WeylGroup method) GeneratorsError (class in sympy.polys.polyerrors) GeneratorsNeeded (class in sympy.polys.polyerrors) Geometric() (in module sympy.stats) geometric_conj_ab() (in module sympy.physics.optics.gaussopt) geometric_conj_af() (in module sympy.physics.optics.gaussopt) geometric_conj_bf() (in module sympy.physics.optics.gaussopt) GeometricRay (class in sympy.physics.optics.gaussopt) GeometryEntity (class in sympy.geometry.entity) get() (sympy.core.containers.Dict method) (sympy.physics.unitsystems.dimensions.Dimension method) get_adjacency_distance() (sympy.combinatorics.permutations.Permutation method) get_adjacency_matrix() (sympy.combinatorics.permutations.Permutation method) get_basis() (in module sympy.physics.quantum.represent) get_class() (in module sympy.utilities.source) get_comm() (sympy.tensor.tensor._TensorManager method) get_contraction_structure() (in module sympy.tensor.index_methods) get_default_datatype() (in module sympy.utilities.codegen) get_diag_blocks() (sympy.matrices.matrices.MatrixBase method) get_dim() (sympy.physics.unitsystems.dimensions.DimensionSystem method) get_domain() (sympy.polys.polytools.Poly method) get_exact() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.RealField method) get_field() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.IntegerRing method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.field.Field method) get_indices() (in module sympy.tensor.index_methods) (sympy.tensor.tensor.TensMul method) get_interface() (sympy.utilities.codegen.FCodeGen method) get_matrix() (sympy.tensor.tensor.TensExpr method) get_mod_func() (in module sympy.utilities.source) get_modulus() (sympy.polys.polytools.Poly method) get_motion_params() (in module sympy.physics.vector.functions) get_period() (sympy.functions.special.hyper.meijerg method) get_permuted() (sympy.physics.secondquant.PermutationOperator method) get_positional_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_distance() (sympy.combinatorics.permutations.Permutation method) get_precedence_matrix() (sympy.combinatorics.permutations.Permutation method) get_prototype() (sympy.utilities.codegen.CCodeGen method) get_resource() (in module sympy.utilities.pkgdata) get_ring() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) get_segments() (sympy.plotting.plot.LineOver1DRangeSeries method) (sympy.plotting.plot.Parametric2DLineSeries method) get_subNO() (sympy.physics.secondquant.NO method) get_subset_from_bitstring() (sympy.combinatorics.graycode method) get_symmetric_group_sgs() (in module sympy.combinatorics.tensor_can) get_sympy_dir() (in module sympy.utilities.runtests) get_target_matrix() (sympy.physics.quantum.gate.Gate method) (sympy.physics.quantum.gate.UGate method) get_unit() (sympy.physics.unitsystems.units.UnitSystem method) getn() (sympy.core.expr.Expr method) getO() (sympy.core.expr.Expr method) gf_add() (in module sympy.polys.galoistools) gf_add_ground() (in module sympy.polys.galoistools)

gf_add_mul() (in module sympy.polys.galoistools) gf_berlekamp() (in module sympy.polys.galoistools) gf_cofactors() (in module sympy.polys.galoistools) gf_compose() (in module sympy.polys.galoistools) gf_compose_mod() (in module sympy.polys.galoistools) gf_crt() (in module sympy.polys.galoistools) gf_crt1() (in module sympy.polys.galoistools) gf_crt2() (in module sympy.polys.galoistools) gf_csolve() (in module sympy.polys.galoistools) gf_degree() (in module sympy.polys.galoistools) gf_diff() (in module sympy.polys.galoistools) gf_div() (in module sympy.polys.galoistools) gf_eval() (in module sympy.polys.galoistools) gf_expand() (in module sympy.polys.galoistools) gf_exquo() (in module sympy.polys.galoistools) gf_factor() (in module sympy.polys.galoistools) gf_factor_sqf() (in module sympy.polys.galoistools) gf_from_dict() (in module sympy.polys.galoistools) gf_from_int_poly() (in module sympy.polys.galoistools) gf_gcd() (in module sympy.polys.galoistools) gf_gcdex() (in module sympy.polys.galoistools) gf_int() (in module sympy.polys.galoistools) gf_irreducible() (in module sympy.polys.galoistools) gf_irreducible_p() (in module sympy.polys.galoistools) gf_LC() (in module sympy.polys.galoistools) gf_lcm() (in module sympy.polys.galoistools) gf_lshift() (in module sympy.polys.galoistools) gf_monic() (in module sympy.polys.galoistools) gf_mul() (in module sympy.polys.galoistools) gf_mul_ground() (in module sympy.polys.galoistools) gf_multi_eval() (in module sympy.polys.galoistools) gf_neg() (in module sympy.polys.galoistools) gf_normal() (in module sympy.polys.galoistools) gf_pow() (in module sympy.polys.galoistools) gf_pow_mod() (in module sympy.polys.galoistools) gf_Qbasis() (in module sympy.polys.galoistools) gf_Qmatrix() (in module sympy.polys.galoistools) gf_quo() (in module sympy.polys.galoistools) gf_quo_ground() (in module sympy.polys.galoistools) gf_random() (in module sympy.polys.galoistools) gf_rem() (in module sympy.polys.galoistools) gf_rshift() (in module sympy.polys.galoistools) gf_shoup() (in module sympy.polys.galoistools) gf_sqf_list() (in module sympy.polys.galoistools) gf_sqf_p() (in module sympy.polys.galoistools) gf_sqf_part() (in module sympy.polys.galoistools) gf_sqr() (in module sympy.polys.galoistools) gf_strip() (in module sympy.polys.galoistools) gf_sub() (in module sympy.polys.galoistools) gf_sub_ground() (in module sympy.polys.galoistools) gf_sub_mul() (in module sympy.polys.galoistools) gf_TC() (in module sympy.polys.galoistools) gf_to_dict() (in module sympy.polys.galoistools) gf_to_int_poly() (in module sympy.polys.galoistools) gf_trace_map() (in module sympy.polys.galoistools) gf_trunc() (in module sympy.polys.galoistools) gf_value() (in module sympy.polys.galoistools) gf_zassenhaus() (in module sympy.polys.galoistools) gff() (in module sympy.polys.polytools) gff_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) given() (in module sympy.stats) GMPYFiniteField (class in sympy.polys.domains) GMPYIntegerRing (class in sympy.polys.domains) GMPYRationalField (class in sympy.polys.domains) GoldenRatio (class in sympy.core.numbers) gosper_normal() (in module sympy.concrete.gosper) gosper_sum() (in module sympy.concrete.gosper) gosper_term() (in module sympy.concrete.gosper) gouy (sympy.physics.optics.gaussopt.BeamParameter attribute) GradedLexOrder (class in sympy.polys.orderings) gradient() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) (sympy.vector.deloperator.Del method) GramSchmidt() (in module sympy.matrices.dense) gray_to_bin() (sympy.combinatorics.graycode method) GrayCode (class in sympy.combinatorics.graycode) graycode_subsets() (sympy.combinatorics.graycode method) GreaterThan (class in sympy.core.relational) greek_letters (in module sympy.printing.pretty.pretty_symbology) groebner() (in module sympy.polys.groebnertools) (in module sympy.polys.polytools) GroebnerBasis (class in sympy.polys.polytools) ground_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) group() (in module sympy.parsing.sympy_tokenize) (in module sympy.utilities.iterables) group_name() (sympy.liealgebras.weyl_group.WeylGroup method) group_order() (sympy.liealgebras.weyl_group.WeylGroup method) grover_iteration() (in module sympy.physics.quantum.grover) gruntz() (in module sympy.series.gruntz) Gt (in module sympy.core.relational)

H

H (in module sympy.physics.quantum.gate) (sympy.matrices.matrices.MatrixBase attribute) HadamardGate (class in sympy.physics.quantum.gate) Half (class in sympy.core.numbers) half_gcdex() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) half_per() (sympy.polys.polyclasses.DMF method) hankel1 (class in sympy.functions.special.bessel) hankel2 (class in sympy.functions.special.bessel) hankel_transform() (in module sympy.integrals.transforms) harmonic (class in sympy.functions.combinatorial.numbers) has() (sympy.core.basic.Basic method) (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) has_dups() (in module sympy.utilities.iterables) has_integer_powers (sympy.physics.unitsystems.dimensions.Dimension attribute) has_only_gens() (sympy.polys.polytools.Poly method) has_q_annihilators (sympy.physics.secondquant.NO attribute) has_q_creators (sympy.physics.secondquant.NO attribute) has_variety() (in module sympy.utilities.iterables) Heaviside (class in sympy.functions.special.delta_functions) height (sympy.categories.diagram_drawing.DiagramGrid attribute) (sympy.physics.optics.gaussopt.GeometricRay attribute) height() (sympy.polys.agca.ideals.Ideal method) (sympy.printing.pretty.stringpict.stringPict method) hermite (class in sympy.functions.special.polynomials) hermite_poly() (in module sympy.polys.orthopolys) hermitian (sympy.assumptions.ask.AssumptionKeys attribute) HermitianOperator (class in sympy.physics.quantum.operator)

hessian() (in module sympy.matrices.dense) HeuristicGCDFailed (class in sympy.polys.polyerrors) highest_root() (sympy.liealgebras.type_a.TypeA method) HilbertSpace (class in sympy.physics.quantum.hilbert) hobj() (in module sympy.printing.pretty.pretty_symbology) holzer() (in module sympy.solvers.diophantine) hom() (sympy.categories.Diagram method) homogeneous_order() (in module sympy.solvers.ode) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homogenize() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) homomorphism() (in module sympy.polys.agca.homomorphisms) HomomorphismFailed (class in sympy.polys.polyerrors) horner() (in module sympy.polys.polyfuncs) hradius (sympy.geometry.ellipse.Ellipse attribute) hstack() (sympy.matrices.matrices.MatrixBase class method) hyper (class in sympy.functions.special.hyper) hyper_algorithm() (in module sympy.series.formal) hyper_re() (in module sympy.series.formal) HyperbolicFunction (class in sympy.functions.elementary.hyperbolic) hyperexpand() (in module sympy.simplify.hyperexpand) hyperfocal_distance() (in module sympy.physics.optics.utils) Hypergeometric() (in module sympy.stats) hypersimilar() (in module sympy.simplify.simplify) hypersimp() (in module sympy.simplify.simplify)

I

ibin() (in module sympy.utilities.iterables) Ideal (class in sympy.polys.agca.ideals) ideal() (sympy.polys.domains.ring.Ring method) Identity (class in sympy.matrices.expressions) identity_hom() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) IdentityFunction (class in sympy.functions.elementary.miscellaneous) IdentityGate (class in sympy.physics.quantum.gate) IdentityMorphism (class in sympy.categories) IdentityOperator (class in sympy.physics.quantum.operator) Idx (class in sympy.tensor.indexed) igcd() (in module sympy.core.numbers) ilcm() (in module sympy.core.numbers) im (class in sympy.functions.elementary.complexes) image() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) ImageSet (class in sympy.sets.fancysets) imageset() (in module sympy.sets.sets) imaginary (sympy.assumptions.ask.AssumptionKeys attribute) ImaginaryUnit (class in sympy.core.numbers) ImmutableDenseNDimArray (class in sympy.tensor.array) ImmutableMatrix (class in sympy.matrices.immutable) ImmutableSparseMatrix (class in sympy.matrices.immutable) ImmutableSparseNDimArray (class in sympy.tensor.array) implemented_function() (in module sympy.utilities.lambdify) implicit_application() (in module sympy.parsing.sympy_parser) implicit_multiplication() (in module sympy.parsing.sympy_parser) implicit_multiplication_application() (in module sympy.parsing.sympy_parser) ImplicitSeries (class in sympy.plotting.plot_implicit) Implies (class in sympy.logic.boolalg) imul_num() (sympy.polys.rings.PolyElement method) in_terms_of_generators() (sympy.polys.agca.modules.SubModule method) incenter (sympy.geometry.polygon.Triangle attribute) incircle (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) inclusion_hom() (sympy.polys.agca.modules.SubModule method) indent_code() (sympy.printing.ccode.CCodePrinter method) (sympy.printing.fcode.FCodePrinter method) (sympy.printing.jscode.JavascriptCodePrinter method) (sympy.printing.julia.JuliaCodePrinter method) (sympy.printing.octave.OctaveCodePrinter method) index() (sympy.combinatorics.permutations.Permutation method) (sympy.core.containers.Tuple method) (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) (sympy.polys.rings.PolyRing method) Indexed (class in sympy.tensor.indexed) IndexedBase (class in sympy.tensor.indexed) indices (sympy.tensor.indexed.Indexed attribute) indices_contain_equal_information (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) inertia() (in module sympy.physics.mechanics.functions) inertia_of_point_mass() (in module sympy.physics.mechanics.functions) inf (sympy.sets.sets.Set attribute) infinite (sympy.assumptions.ask.AssumptionKeys attribute) (sympy.series.formal.FormalPowerSeries attribute) infinitesimal (sympy.assumptions.ask.AssumptionKeys attribute) infinitesimals() (in module sympy.solvers.ode) Infinity (class in sympy.core.numbers) infinity (sympy.assumptions.ask.AssumptionKeys attribute) init_printing() (in module sympy.physics.vector.printing) inject() (sympy.polys.domains.compositedomain.CompositeDomain method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.simpledomain.SimpleDomain method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) InnerProduct (class in sympy.physics.quantum.innerproduct) (class in sympy.physics.secondquant) inradius (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) intcurve_diffequ() (in module sympy.diffgeom) intcurve_series() (in module sympy.diffgeom) integer Integer (class in sympy.core.numbers) integer (sympy.assumptions.ask.AssumptionKeys attribute) integer_elements (sympy.assumptions.ask.AssumptionKeys attribute) integer_nthroot() (in module sympy.core.power) IntegerPartition (class in sympy.combinatorics.partitions) IntegerRing (class in sympy.polys.domains) Integers (class in sympy.sets.fancysets) Integral (class in sympy.integrals) Integral.is_commutative (in module sympy.integrals.transforms) integrand() (sympy.functions.special.hyper.meijerg method) integrate() (in module sympy.integrals) (sympy.core.expr.Expr method) (sympy.matrices.matrices.MatrixBase method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.formal.FormalPowerSeries method) integrate_result() (in module sympy.physics.quantum.represent) interactive_traversal() (in module sympy.utilities.iterables) interior_angle (sympy.geometry.polygon.RegularPolygon attribute) interpolate() (in module sympy.polys.polyfuncs) interpolating_poly() (in module sympy.polys.specialpolys) intersect() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.sets.sets.Set method) Intersection (class in sympy.sets.sets) intersection() (in module sympy.geometry.util) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) (sympy.geometry.point.Point method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.Polygon method) (sympy.sets.sets.Set method) Interval (class in sympy.sets.sets) interval (sympy.series.sequences.SeqBase attribute) intervals() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) IntQubit (class in sympy.physics.quantum.qubit) IntQubitBra (class in sympy.physics.quantum.qubit) intrinsic_impedance (sympy.physics.optics.medium.Medium attribute) inv_can_transf_matrix (sympy.physics.unitsystems.dimensions.DimensionSystem attribute) inv_mod() (sympy.matrices.matrices.MatrixBase method) Inverse (class in sympy.matrices.expressions) inverse() (sympy.functions.elementary.exponential.log method) (sympy.functions.elementary.hyperbolic.acosh method) (sympy.functions.elementary.hyperbolic.acoth method) (sympy.functions.elementary.hyperbolic.asech method) (sympy.functions.elementary.hyperbolic.asinh method) (sympy.functions.elementary.hyperbolic.atanh method) (sympy.functions.elementary.hyperbolic.coth method) (sympy.functions.elementary.hyperbolic.sinh method) (sympy.functions.elementary.hyperbolic.tanh method) (sympy.functions.elementary.trigonometric.acos method) (sympy.functions.elementary.trigonometric.acot method) (sympy.functions.elementary.trigonometric.acsc method) (sympy.functions.elementary.trigonometric.asec method) (sympy.functions.elementary.trigonometric.asin method) (sympy.functions.elementary.trigonometric.atan method) (sympy.functions.elementary.trigonometric.cot method) (sympy.functions.elementary.trigonometric.tan method) inverse_ADJ() (sympy.matrices.matrices.MatrixBase method) inverse_cosine_transform() (in module sympy.integrals.transforms) inverse_fourier_transform() (in module sympy.integrals.transforms) inverse_GE() (sympy.matrices.matrices.MatrixBase method) inverse_hankel_transform() (in module sympy.integrals.transforms) inverse_laplace_transform() (in module sympy.integrals.transforms) inverse_LU() (sympy.matrices.matrices.MatrixBase method) inverse_mellin_transform() (in module sympy.integrals.transforms) inverse_sine_transform() (in module sympy.integrals.transforms) inversion_vector() (sympy.combinatorics.permutations.Permutation method) inversions() (sympy.combinatorics.permutations.Permutation method) invert() (in module sympy.polys.polytools) (sympy.core.expr.Expr method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) invert_complex() (in module sympy.solvers.solveset) invert_real() (in module sympy.solvers.solveset) invertible (sympy.assumptions.ask.AssumptionKeys attribute) IQFT (class in sympy.physics.quantum.qft) irrational (sympy.assumptions.ask.AssumptionKeys attribute) is_abelian (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_above_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_absolutely_convergent() (sympy.concrete.summations.Sum method) is_algebraic_expr() (sympy.core.expr.Expr method) is_aliased (sympy.polys.numberfields.AlgebraicNumber attribute) is_alt_sym() (sympy.combinatorics.perm_groups.PermutationGroup method) is_anti_symmetric() (sympy.matrices.matrices.MatrixBase method) is_below_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_cnf() (in module sympy.logic.boolalg) is_collinear() (sympy.geometry.point.Point method) is_commutative (sympy.core.function.Function attribute) (sympy.physics.quantum.state.Wavefunction attribute) is_comparable (sympy.core.basic.Basic attribute) is_compatible() (sympy.physics.unitsystems.units.Unit method) is_concyclic() (sympy.geometry.point.Point2D method) is_conservative() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_consistent (sympy.physics.unitsystems.dimensions.DimensionSystem attribute) (sympy.physics.unitsystems.units.UnitSystem attribute) is_constant() (sympy.core.expr.Expr method) is_convergent() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) is_convex() (sympy.geometry.polygon.Polygon method)

is_coplanar() (sympy.geometry.plane.Plane method) is_cyclotomic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_decreasing() (in module sympy.calculus.singularities) is_diagonal() (sympy.matrices.matrices.MatrixBase method) is_diagonalizable() (sympy.matrices.matrices.MatrixBase method) is_dimensionless (sympy.physics.unitsystems.dimensions.Dimension attribute) is_disjoint() (sympy.sets.sets.Set method) is_dnf() (in module sympy.logic.boolalg) is_Empty (sympy.combinatorics.permutations.Permutation attribute) is_equilateral() (sympy.geometry.polygon.Triangle method) is_even (sympy.combinatorics.permutations.Permutation attribute) is_full_module() (sympy.polys.agca.modules.SubModule method) (sympy.polys.agca.modules.SubQuotientModule method) is_groebner() (in module sympy.polys.groebnertools) is_ground (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_hermitian (sympy.matrices.matrices.MatrixBase attribute) (sympy.matrices.sparse.SparseMatrix attribute) is_homogeneous (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_Identity (sympy.combinatorics.permutations.Permutation attribute) is_identity (sympy.core.function.Lambda attribute) is_increasing() (in module sympy.calculus.singularities) is_injective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_irreducible (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_isomorphism() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_isosceles() (sympy.geometry.polygon.Triangle method) is_left_unbounded (sympy.sets.sets.Interval attribute) is_linear (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_lower (sympy.matrices.matrices.MatrixBase attribute) is_lower_hessenberg (sympy.matrices.matrices.MatrixBase attribute) is_maximal() (sympy.polys.agca.ideals.Ideal method) is_minimal() (in module sympy.polys.groebnertools) is_monic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_monomial (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_monotonic() (in module sympy.calculus.singularities) is_multivariate (sympy.polys.polytools.Poly attribute) is_negative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_nilpotent (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_nilpotent() (sympy.matrices.matrices.MatrixBase method) is_nonnegative() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_nonpositive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_normal() (sympy.combinatorics.perm_groups.PermutationGroup method) is_normalized (sympy.physics.quantum.state.Wavefunction attribute) is_nthpow_residue() (in module sympy.ntheory.residue_ntheory) is_number (sympy.core.expr.Expr attribute) is_odd (sympy.combinatorics.permutations.Permutation attribute) is_one (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMF attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_one() (sympy.polys.domains.domain.Domain method) is_only_above_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_only_below_fermi (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) is_only_q_annihilator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_only_q_creator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_parallel() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) is_perpendicular() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) is_polynomial() (sympy.core.expr.Expr method) is_positive() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.domain.Domain method) is_primary() (sympy.polys.agca.ideals.Ideal method) is_prime() (sympy.polys.agca.ideals.Ideal method) is_primitive (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_primitive() (sympy.combinatorics.perm_groups.PermutationGroup method) is_primitive_root() (in module sympy.ntheory.residue_ntheory) is_principal() (sympy.polys.agca.ideals.Ideal method) is_proper_subset() (sympy.sets.sets.Set method) is_proper_superset() (sympy.sets.sets.Set method) is_q_annihilator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_q_creator (sympy.physics.secondquant.AnnihilateFermion attribute) (sympy.physics.secondquant.CreateFermion attribute) is_quad_residue() (in module sympy.ntheory.residue_ntheory) is_quadratic (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_radical() (sympy.polys.agca.ideals.Ideal method) is_rational_function() (sympy.core.expr.Expr method) is_reduced() (in module sympy.polys.groebnertools) is_right() (sympy.geometry.polygon.Triangle method) is_right_unbounded (sympy.sets.sets.Interval attribute) is_scalar_multiple() (sympy.geometry.point.Point method) is_scalene() (sympy.geometry.polygon.Triangle method) is_sequence() (in module sympy.core.compatibility) is_similar() (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.polygon.Triangle method) is_simple() (sympy.functions.special.delta_functions.DiracDelta method) is_Singleton (sympy.combinatorics.permutations.Permutation attribute) is_solenoidal() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) is_solvable (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_sqf (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_square (sympy.matrices.matrices.MatrixBase attribute) is_strictly_decreasing() (in module sympy.calculus.singularities) is_strictly_increasing() (in module sympy.calculus.singularities) is_subdiagram() (sympy.categories.Diagram method) is_subgroup() (sympy.combinatorics.perm_groups.PermutationGroup method) is_submodule() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) is_subset() (sympy.sets.sets.Set method) is_superset() (sympy.sets.sets.Set method) is_surjective() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) is_symbolic() (sympy.matrices.matrices.MatrixBase method) is_symmetric() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) is_tangent() (sympy.geometry.ellipse.Ellipse method) is_transitive() (sympy.combinatorics.perm_groups.PermutationGroup method) is_trivial (sympy.combinatorics.perm_groups.PermutationGroup attribute) is_true (sympy.assumptions.ask.AssumptionKeys attribute) is_univariate (sympy.polys.polytools.Poly attribute) is_upper (sympy.matrices.matrices.MatrixBase attribute) is_upper_hessenberg (sympy.matrices.matrices.MatrixBase attribute) is_whole_ring() (sympy.polys.agca.ideals.Ideal method) is_zero (sympy.geometry.point.Point attribute) (sympy.matrices.immutable.ImmutableMatrix attribute) (sympy.matrices.matrices.MatrixBase attribute) (sympy.polys.polyclasses.ANP attribute) (sympy.polys.polyclasses.DMF attribute) (sympy.polys.polyclasses.DMP attribute) (sympy.polys.polytools.Poly attribute) is_zero() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) (sympy.polys.domains.domain.Domain method) is_zero_dimensional (sympy.polys.polytools.GroebnerBasis attribute) is_zero_dimensional() (in module sympy.polys.polytools) isdisjoint() (sympy.sets.sets.Set method) isolate() (in module sympy.polys.numberfields) IsomorphismFailed (class in sympy.polys.polyerrors) isprime() (in module sympy.ntheory.primetest) issubset() (sympy.sets.sets.Set method) issuperset() (sympy.sets.sets.Set method) ITE (class in sympy.logic.boolalg) items() (sympy.core.containers.Dict method) (sympy.physics.unitsystems.dimensions.Dimension method) iter_q_annihilators() (sympy.physics.secondquant.NO method) iter_q_creators() (sympy.physics.secondquant.NO method) iterable() (in module sympy.core.compatibility) iterate_binary() (sympy.combinatorics.subsets.Subset method) iterate_graycode() (sympy.combinatorics.subsets.Subset method) itercoeffs() (sympy.polys.rings.PolyElement method) itermonomials() (in module sympy.polys.monomials) itermonoms() (sympy.polys.rings.PolyElement method) iterterms() (sympy.polys.rings.PolyElement method)

J

jacobi (class in sympy.functions.special.polynomials) jacobi_normalized() (in module sympy.functions.special.polynomials) jacobi_poly() (in module sympy.polys.orthopolys) jacobi_symbol() (in module sympy.ntheory.residue_ntheory) jacobian() (sympy.diffgeom.CoordSystem method) (sympy.matrices.matrices.MatrixBase method) JavascriptCodePrinter (class in sympy.printing.jscode) jn (class in sympy.functions.special.bessel) jn_zeros() (in module sympy.functions.special.bessel) jordan_cell() (in module sympy.matrices.dense) jordan_cells() (sympy.matrices.matrices.MatrixBase method) jordan_form() (sympy.matrices.matrices.MatrixBase method) josephus() (sympy.combinatorics.permutations.Permutation class method) jscode() (in module sympy.printing.jscode) julia_code() (in module sympy.printing.julia)

JuliaCodeGen (class in sympy.utilities.codegen) JuliaCodePrinter (class in sympy.printing.julia) JxBra (class in sympy.physics.quantum.spin) JxBraCoupled (class in sympy.physics.quantum.spin) JxKet (class in sympy.physics.quantum.spin) JxKetCoupled (class in sympy.physics.quantum.spin) JyBra (class in sympy.physics.quantum.spin) JyBraCoupled (class in sympy.physics.quantum.spin) JyKet (class in sympy.physics.quantum.spin) JyKetCoupled (class in sympy.physics.quantum.spin) JzBra (class in sympy.physics.quantum.spin) JzBraCoupled (class in sympy.physics.quantum.spin) JzKet (class in sympy.physics.quantum.spin) JzKetCoupled (class in sympy.physics.quantum.spin)

K

kanes_equations() (sympy.physics.mechanics.kane.KanesMethod method) KanesMethod (class in sympy.physics.mechanics.kane) kbins() (in module sympy.utilities.iterables) kernel() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Ket (class in sympy.physics.quantum.state) ket (sympy.physics.quantum.operator.OuterProduct attribute) (sympy.physics.secondquant.InnerProduct attribute) KetBase (class in sympy.physics.quantum.state) key2bounds() (sympy.matrices.matrices.MatrixBase method) key2ij() (sympy.matrices.matrices.MatrixBase method) keys() (sympy.core.containers.Dict method) (sympy.physics.unitsystems.dimensions.Dimension method) kid_rsa_private_key() (in module sympy.crypto.crypto)

kid_rsa_public_key() (in module sympy.crypto.crypto) killable_index (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) kindiffdict() (sympy.physics.mechanics.kane.KanesMethod method) kinematic_equations() (in module sympy.physics.vector.functions) kinetic_energy() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) known_fcns_src1 (in module sympy.printing.julia) (in module sympy.printing.octave) known_fcns_src2 (in module sympy.printing.julia) (in module sympy.printing.octave) known_functions (in module sympy.printing.ccode) (in module sympy.printing.jscode) (in module sympy.printing.mathematica) KroneckerDelta (class in sympy.functions.special.tensor_functions) (class in sympy.physics.secondquant) ksubsets() (sympy.combinatorics.subsets method) Kumaraswamy() (in module sympy.stats)

L

l1_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) L2 (class in sympy.physics.quantum.hilbert) label (sympy.physics.quantum.state.TimeDepState attribute) (sympy.tensor.indexed.Idx attribute) (sympy.tensor.indexed.IndexedBase attribute) labeller() (in module sympy.physics.quantum.circuitplot) LagrangesMethod (class in sympy.physics.mechanics.lagrange) Lagrangian() (in module sympy.physics.mechanics.functions) laguerre (class in sympy.functions.special.polynomials) laguerre_poly() (in module sympy.polys.orthopolys) Lambda (class in sympy.core.function) LambdaPrinter (class in sympy.printing.lambdarepr) lambdarepr() (in module sympy.printing.lambdarepr) lambdastr() (in module sympy.utilities.lambdify) lambdify() (in module sympy.utilities.lambdify) LambertW (class in sympy.functions.elementary.exponential) Laplace() (in module sympy.stats) laplace_transform() (in module sympy.integrals.transforms) latex() (in module sympy.printing.latex) LatexPrinter (class in sympy.printing.latex) LC() (in module sympy.polys.polytools) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm() (in module sympy.polys.polytools) (sympy.core.numbers.Number method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) lcm_list() (in module sympy.polys.polytools) ldescent() (in module sympy.solvers.diophantine) LDLdecomposition() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) LDLsolve() (sympy.matrices.matrices.MatrixBase method) Le (in module sympy.core.relational) leading_expv() (sympy.polys.rings.PolyElement method) leading_monom() (sympy.polys.rings.PolyElement method) leading_term() (sympy.polys.rings.PolyElement method) leadterm() (sympy.core.expr.Expr method) left (sympy.sets.sets.Interval attribute) left() (sympy.printing.pretty.stringpict.stringPict method) left_eigenvects() (sympy.matrices.matrices.MatrixBase method) left_open (sympy.sets.sets.Interval attribute) leftslash() (sympy.printing.pretty.stringpict.stringPict method) legendre (class in sympy.functions.special.polynomials) legendre_poly() (in module sympy.polys.orthopolys) legendre_symbol() (in module sympy.ntheory.residue_ntheory) length (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.line.Segment attribute) (sympy.geometry.line3d.LinearEntity3D attribute) (sympy.geometry.line3d.Segment3D attribute) (sympy.geometry.point.Point attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.series.sequences.SeqBase attribute) length() (sympy.combinatorics.permutations.Permutation method) (sympy.polys.polytools.Poly method) lens_formula() (in module sympy.physics.optics.utils) lens_makers_formula() (in module sympy.physics.optics.utils) lerchphi (class in sympy.functions.special.zeta_functions) LessThan (class in sympy.core.relational) LeviCivita (class in sympy.functions.special.tensor_functions) LexOrder (class in sympy.polys.orderings) lfsr_autocorrelation() (in module sympy.crypto.crypto) lfsr_connection_polynomial() (in module sympy.crypto.crypto) lfsr_sequence() (in module sympy.crypto.crypto) Li (class in sympy.functions.special.error_functions) li (class in sympy.functions.special.error_functions) lie_algebra() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) lie_heuristic_abaco1_product() (in module sympy.solvers.ode) lie_heuristic_abaco1_simple() (in module sympy.solvers.ode) lie_heuristic_abaco2_similar() (in module sympy.solvers.ode) lie_heuristic_abaco2_unique_general() (in module sympy.solvers.ode) lie_heuristic_abaco2_unique_unknown() (in module sympy.solvers.ode) lie_heuristic_bivariate() (in module sympy.solvers.ode)

lie_heuristic_chi() (in module sympy.solvers.ode) lie_heuristic_function_sum() (in module sympy.solvers.ode) lie_heuristic_linear() (in module sympy.solvers.ode) LieDerivative (class in sympy.diffgeom) lift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Limit (class in sympy.series.limits) limit() (in module sympy.series.limits) (sympy.core.expr.Expr method) (sympy.matrices.matrices.MatrixBase method) limit_denominator() (sympy.core.numbers.Rational method) limit_seq() (in module sympy.series.limitseq) limitinf() (in module sympy.series.gruntz) limits (sympy.geometry.curve.Curve attribute) (sympy.physics.quantum.state.Wavefunction attribute) Line (class in sympy.geometry.line) Line2DBaseSeries (class in sympy.plotting.plot) Line3D (class in sympy.geometry.line3d) Line3DBaseSeries (class in sympy.plotting.plot) line_integrate() (in module sympy.integrals) linear_eq_to_matrix() (in module sympy.solvers.solveset) linear_momentum() (in module sympy.physics.mechanics.functions) (sympy.physics.mechanics.particle.Particle method) (sympy.physics.mechanics.rigidbody.RigidBody method) LinearEntity (class in sympy.geometry.line) LinearEntity3D (class in sympy.geometry.line3d) linearize() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) (sympy.physics.mechanics.linearize.Linearizer method) Linearizer (class in sympy.physics.mechanics.linearize) LineOver1DRangeSeries (class in sympy.plotting.plot) linsolve() (in module sympy.solvers.solveset) list() (sympy.combinatorics.permutations.Cycle method) (sympy.combinatorics.permutations.Permutation method) list2numpy() (in module sympy.matrices.dense) list_can_dims (sympy.physics.unitsystems.dimensions.DimensionSystem attribute) list_visitor() (in module sympy.utilities.enumerative) listcoeffs() (sympy.polys.rings.PolyElement method) listmonoms() (sympy.polys.rings.PolyElement method) listterms() (sympy.polys.rings.PolyElement method) liupc() (sympy.matrices.sparse.SparseMatrix method) LM() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) locate_new() (sympy.vector.coordsysrect.CoordSysCartesian method) locatenew() (sympy.physics.vector.point.Point method) log (class in sympy.functions.elementary.exponential) log() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.IntegerRing method) logcombine() (in module sympy.simplify.simplify) loggamma (class in sympy.functions.special.gamma_functions) Logistic() (in module sympy.stats) LogNormal() (in module sympy.stats) Lopen() (sympy.sets.sets.Interval class method) lower (sympy.physics.secondquant.AntiSymmetricTensor attribute) (sympy.tensor.indexed.Idx attribute) lower_central_series() (sympy.combinatorics.perm_groups.PermutationGroup method) lower_triangular (sympy.assumptions.ask.AssumptionKeys attribute) lower_triangular_solve() (sympy.matrices.matrices.MatrixBase method) lowergamma (class in sympy.functions.special.gamma_functions) lseries() (sympy.core.expr.Expr method) Lt (in module sympy.core.relational) LT() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) ltrim() (sympy.polys.polytools.Poly method) lucas (class in sympy.functions.combinatorial.numbers) LUdecomposition() (sympy.matrices.matrices.MatrixBase method) LUdecomposition_Simple() (sympy.matrices.matrices.MatrixBase method) LUdecompositionFF() (sympy.matrices.matrices.MatrixBase method) LUsolve() (sympy.matrices.matrices.MatrixBase method)

M

magnitude() (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) major (sympy.geometry.ellipse.Ellipse attribute) make_perm() (sympy.combinatorics.perm_groups.PermutationGroup method) make_prime() (in module sympy.solvers.diophantine) make_routine() (in module sympy.utilities.codegen) Manifold (class in sympy.diffgeom) map() (sympy.polys.domains.domain.Domain method) mass (sympy.physics.mechanics.particle.Particle attribute) mass_matrix (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) mass_matrix_full (sympy.physics.mechanics.kane.KanesMethod attribute) (sympy.physics.mechanics.lagrange.LagrangesMethod attribute) MatAdd (class in sympy.matrices.expressions) match() (sympy.core.basic.Basic method) matches() (sympy.core.basic.Basic method) mathematica() (in module sympy.parsing.mathematica) mathematica_code() (in module sympy.printing.mathematica) MathieuBase (class in sympy.functions.special.mathieu_functions) mathieuc (class in sympy.functions.special.mathieu_functions) mathieucprime (class in sympy.functions.special.mathieu_functions) mathieus (class in sympy.functions.special.mathieu_functions) mathieusprime (class in sympy.functions.special.mathieu_functions) mathml() (in module sympy.printing.mathml) mathml_tag() (sympy.printing.mathml.MathMLPrinter method) MathMLPrinter (class in sympy.printing.mathml) MatMul (class in sympy.matrices.expressions) MatPow (class in sympy.matrices.expressions) matrix2numpy() (in module sympy.matrices.dense) matrix_fglm() (in module sympy.polys.fglmtools) matrix_form() (sympy.liealgebras.weyl_group.WeylGroup method) matrix_multiply_elementwise() (in module sympy.matrices.dense) matrix_rep() (in module sympy.physics.secondquant) matrix_to_density() (in module sympy.physics.quantum.qubit) matrix_to_qubit() (in module sympy.physics.quantum.qubit) matrix_to_vector() (in module sympy.vector) MatrixBase (class in sympy.matrices.matrices) MatrixError (class in sympy.matrices.matrices) MatrixExpr (class in sympy.matrices.expressions) MatrixSymbol (class in sympy.matrices.expressions) Max (class in sympy.functions.elementary.miscellaneous) max() (sympy.combinatorics.permutations.Permutation method) max_div (sympy.combinatorics.perm_groups.PermutationGroup attribute) max_norm() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Maxwell() (in module sympy.stats) maybe() (in module sympy.parsing.sympy_tokenize) MCodePrinter (class in sympy.printing.mathematica) mdft() (in module sympy.physics.matrices) measure (sympy.sets.sets.Set attribute) measure_all() (in module sympy.physics.quantum.qubit) measure_all_oneshot() (in module sympy.physics.quantum.qubit) measure_partial() (in module sympy.physics.quantum.qubit) measure_partial_oneshot() (in module sympy.physics.quantum.qubit) medial (sympy.geometry.polygon.Triangle attribute) medians (sympy.geometry.polygon.Triangle attribute) Medium (class in sympy.physics.optics.medium) meets() (sympy.series.gruntz.SubsSet method) meijerg (class in sympy.functions.special.hyper) mellin_transform() (in module sympy.integrals.transforms) memoize_property() (in module sympy.utilities.decorator) merge_solution() (in module sympy.solvers.diophantine) metric_to_Christoffel_1st() (in module sympy.diffgeom) metric_to_Christoffel_2nd() (in module sympy.diffgeom) metric_to_Ricci_components() (in module sympy.diffgeom) metric_to_Riemann_components() (in module sympy.diffgeom) mgamma() (in module sympy.physics.matrices)

midpoint (sympy.geometry.line.Segment attribute) (sympy.geometry.line3d.Segment3D attribute) midpoint() (sympy.geometry.point.Point method) Min (class in sympy.functions.elementary.miscellaneous) min() (sympy.combinatorics.permutations.Permutation method) min_qubits (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) (sympy.physics.quantum.gate.Gate attribute) minimal_block() (sympy.combinatorics.perm_groups.PermutationGroup method) minimal_polynomial() (in module sympy.polys.numberfields) minlex() (in module sympy.utilities.iterables) minor (sympy.geometry.ellipse.Ellipse attribute) minorEntry() (sympy.matrices.matrices.MatrixBase method) minorMatrix() (sympy.matrices.matrices.MatrixBase method) minpoly() (in module sympy.polys.numberfields) mirror_formula() (in module sympy.physics.optics.utils) mobius (class in sympy.ntheory) Mod (class in sympy.core.mod) modgcd_bivariate() (in module sympy.polys.modulargcd) modgcd_multivariate() (in module sympy.polys.modulargcd) modgcd_univariate() (in module sympy.polys.modulargcd) Module (class in sympy.polys.agca.modules) module_quotient() (sympy.polys.agca.modules.SubModule method) ModuleHomomorphism (class in sympy.polys.agca.homomorphisms) momentum (sympy.physics.quantum.cartesian.PxBra attribute) (sympy.physics.quantum.cartesian.PxKet attribute) monic() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) Monomial (class in sympy.polys.monomials) monomial_basis() (sympy.polys.rings.PolyRing method) monomial_count() (in module sympy.polys.monomials) monoms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) Morphism (class in sympy.categories) morphisms (sympy.categories.diagram_drawing.DiagramGrid attribute) mr() (in module sympy.ntheory.primetest) mrv() (in module sympy.series.gruntz) mrv_leadterm() (in module sympy.series.gruntz) mrv_max1() (in module sympy.series.gruntz) mrv_max3() (in module sympy.series.gruntz) msigma() (in module sympy.physics.matrices) msubs() (in module sympy.physics.mechanics) Mul (class in sympy.core.mul) Mul() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) mul() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyRing method) mul_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) mul_inv() (sympy.combinatorics.permutations.Permutation method) mul_xin() (in module sympy.polys.ring_series) MultiFactorial (class in sympy.functions.combinatorial.factorials) multinomial_coefficients() (in module sympy.ntheory.multinomial) multinomial_coefficients_iterator() (in module sympy.ntheory.multinomial) multiplicity() (in module sympy.ntheory.factor_) multiply() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) multiply_elementwise() (sympy.matrices.matrices.MatrixBase method) multiply_ideal() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) multiset() (in module sympy.utilities.iterables) multiset_combinations() (in module sympy.utilities.iterables) multiset_partitions() (in module sympy.utilities.iterables) multiset_partitions_taocp() (in module sympy.utilities.enumerative) multiset_permutations() (in module sympy.utilities.iterables) MultisetPartitionTraverser (class in sympy.utilities.enumerative) MultivariatePolynomialError (class in sympy.polys.polyerrors) MutableDenseMatrix (class in sympy.matrices.dense) MutableDenseNDimArray (class in sympy.tensor.array) MutableSparseMatrix (class in sympy.matrices.sparse) MutableSparseNDimArray (class in sympy.tensor.array) Mx (class in sympy.physics.quantum.circuitplot) Mz (class in sympy.physics.quantum.circuitplot)

N

n (sympy.combinatorics.graycode.GrayCode attribute) N (sympy.physics.quantum.shor.CMod attribute) N() (in module sympy.core.evalf) n() (sympy.geometry.point.Point method) (sympy.matrices.matrices.MatrixBase method) (sympy.polys.domains.domain.Domain method) n_order() (in module sympy.ntheory.residue_ntheory) Nakagami() (in module sympy.stats) name (sympy.categories.Category attribute) (sympy.categories.NamedMorphism attribute) NamedMorphism (class in sympy.categories) NaN (class in sympy.core.numbers) Nand (class in sympy.logic.boolalg) nargs (sympy.core.function.FunctionClass attribute) native_coeffs() (sympy.polys.numberfields.AlgebraicNumber method) Naturals (class in sympy.sets.fancysets) Naturals0 (class in sympy.sets.fancysets) Ne (in module sympy.core.relational) necklaces() (in module sympy.utilities.iterables) neg() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) negative (sympy.assumptions.ask.AssumptionKeys attribute) NegativeInfinity (class in sympy.core.numbers) NegativeOne (class in sympy.core.numbers) new() (sympy.polys.polytools.Poly class method) next() (sympy.combinatorics.graycode.GrayCode method) (sympy.combinatorics.prufer.Prufer method) (sympy.printing.pretty.stringpict.stringPict static method) next_binary() (sympy.combinatorics.subsets.Subset method) next_gray() (sympy.combinatorics.subsets.Subset method) next_lex() (sympy.combinatorics.partitions.IntegerPartition method) (sympy.combinatorics.permutations.Permutation method) next_lexicographic() (sympy.combinatorics.subsets.Subset method) next_nonlex() (sympy.combinatorics.permutations.Permutation method) next_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) nextprime() (in module sympy.ntheory.generate) nfloat() (in module sympy.core.function) nine_point_circle (sympy.geometry.polygon.Triangle attribute) nnz() (sympy.matrices.sparse.SparseMatrix method) NO (class in sympy.physics.secondquant) no_attrs_in_subclass (class in sympy.utilities.decorator) nodes (sympy.combinatorics.prufer.Prufer attribute) nonnegative (sympy.assumptions.ask.AssumptionKeys attribute)

nonpositive (sympy.assumptions.ask.AssumptionKeys attribute) NonSquareMatrixError (class in sympy.matrices.matrices) nonzero (sympy.assumptions.ask.AssumptionKeys attribute) Nor (class in sympy.logic.boolalg) norm (sympy.physics.quantum.state.Wavefunction attribute) norm() (sympy.matrices.matrices.MatrixBase method) normal (sympy.assumptions.ask.AssumptionKeys attribute) Normal() (in module sympy.stats) normal_closure() (sympy.combinatorics.perm_groups.PermutationGroup method) normal_lines() (sympy.geometry.ellipse.Ellipse method) normal_vector (sympy.geometry.plane.Plane attribute) normalize() (sympy.physics.quantum.state.Wavefunction method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) normalize_theta_set() (in module sympy.sets.fancysets) normalized() (in module sympy.physics.quantum.gate) (sympy.matrices.matrices.MatrixBase method) NormalPSpace (class in sympy.stats.crv_types) Not (class in sympy.logic.boolalg) not_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) NotAlgebraic (class in sympy.polys.polyerrors) NotInvertible (class in sympy.polys.polyerrors) NotReversible (class in sympy.polys.polyerrors) npartitions() (in module sympy.ntheory.partitions_) nqubits (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.Gate attribute) nroots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nseries() (sympy.core.expr.Expr method) nsimplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) nsolve() (in module sympy.solvers.solvers) nth() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) nth_power_roots_poly() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) nthroot() (in module sympy.simplify.simplify) nthroot_mod() (in module sympy.ntheory.residue_ntheory) nu (sympy.functions.special.hyper.meijerg attribute) nullspace() (sympy.matrices.matrices.MatrixBase method) Number (class in sympy.core.numbers) numbered_symbols() (in module sympy.utilities.iterables) NumberSymbol (class in sympy.core.numbers) numer() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method)

O

Object (class in sympy.categories) objects (sympy.categories.Category attribute) (sympy.categories.Diagram attribute) octave_code() (in module sympy.printing.octave) OctaveCodeGen (class in sympy.utilities.codegen) OctaveCodePrinter (class in sympy.printing.octave) odd (sympy.assumptions.ask.AssumptionKeys attribute) ode_1st_exact() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_best() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_dep_div_indep() (in module sympy.solvers.ode) ode_1st_homogeneous_coeff_subs_indep_div_dep() (in module sympy.solvers.ode) ode_1st_linear() (in module sympy.solvers.ode) ode_1st_power_series() (in module sympy.solvers.ode) ode_2nd_power_series_ordinary() (in module sympy.solvers.ode) ode_2nd_power_series_regular() (in module sympy.solvers.ode) ode_almost_linear() (in module sympy.solvers.ode) ode_Bernoulli() (in module sympy.solvers.ode) ode_lie_group() (in module sympy.solvers.ode) ode_linear_coefficients() (in module sympy.solvers.ode) ode_Liouville() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_homogeneous() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_undetermined_coefficients() (in module sympy.solvers.ode) ode_nth_linear_constant_coeff_variation_of_parameters() (in module sympy.solvers.ode) ode_order() (in module sympy.solvers.deutils) ode_Riccati_special_minus2() (in module sympy.solvers.ode) ode_separable() (in module sympy.solvers.ode) ode_separable_reduced() (in module sympy.solvers.ode) ode_sol_simplicity() (in module sympy.solvers.ode) odesimp() (in module sympy.solvers.ode) of_type() (sympy.polys.domains.domain.Domain method) old_frac_field() (sympy.polys.domains.domain.Domain method) old_poly_ring() (sympy.polys.domains.domain.Domain method) One (class in sympy.core.numbers) one (sympy.polys.polytools.Poly attribute)

one_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) OneQubitGate (class in sympy.physics.quantum.gate) ones() (in module sympy.matrices.dense) open() (sympy.sets.sets.Interval class method) OperationNotSupported (class in sympy.polys.polyerrors) Operator (class in sympy.physics.quantum.operator) operators (sympy.physics.quantum.state.StateBase attribute) operators_to_state() (in module sympy.physics.quantum.operatorset) opt_cse() (in module sympy.simplify.cse_main) OptionError (class in sympy.polys.polyerrors) Or (class in sympy.logic.boolalg) OracleGate (class in sympy.physics.quantum.grover) orbit() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_rep() (sympy.combinatorics.perm_groups.PermutationGroup method) orbit_transversal() (sympy.combinatorics.perm_groups.PermutationGroup method) orbits() (sympy.combinatorics.perm_groups.PermutationGroup method) Order (class in sympy.series.order) order (sympy.functions.special.bessel.BesselBase attribute) order() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation method) orient() (sympy.physics.vector.frame.ReferenceFrame method) orient_new() (sympy.vector.coordsysrect.CoordSysCartesian method) orient_new_axis() (sympy.vector.coordsysrect.CoordSysCartesian method) orient_new_body() (sympy.vector.coordsysrect.CoordSysCartesian method) orient_new_quaternion() (sympy.vector.coordsysrect.CoordSysCartesian method) orient_new_space() (sympy.vector.coordsysrect.CoordSysCartesian method) Orienter (class in sympy.vector.orienters) orientnew() (sympy.physics.vector.frame.ReferenceFrame method) origin (sympy.geometry.point.Point attribute) orthocenter (sympy.geometry.polygon.Triangle attribute) orthogonal (sympy.assumptions.ask.AssumptionKeys attribute) outer() (in module sympy.physics.vector.functions) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) OuterProduct (class in sympy.physics.quantum.operator)

P

P() (in module sympy.stats) p1 (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.line3d.LinearEntity3D attribute) (sympy.geometry.plane.Plane attribute) p2 (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.line3d.LinearEntity3D attribute) padded_key() (in module sympy.crypto.crypto) pairwise_prime() (in module sympy.solvers.diophantine) parallel_line() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) parallel_plane() (sympy.geometry.plane.Plane method) parallel_poly_from_expr() (in module sympy.polys.polytools) parameter (sympy.geometry.curve.Curve attribute) Parametric2DLineSeries (class in sympy.plotting.plot) Parametric3DLineSeries (class in sympy.plotting.plot) ParametricSurfaceSeries (class in sympy.plotting.plot) parametrize_ternary_quadratic() (in module sympy.solvers.diophantine) parens() (sympy.printing.pretty.stringpict.stringPict method) Pareto() (in module sympy.stats) parity() (sympy.combinatorics.permutations.Permutation method) parse_expr() (in module sympy.parsing.sympy_parser) parse_maxima() (in module sympy.parsing.maxima) partial_velocity() (in module sympy.physics.vector.functions) Particle (class in sympy.physics.mechanics.particle) Partition (class in sympy.combinatorics.partitions) partition (sympy.combinatorics.partitions.Partition attribute) partition() (in module sympy.solvers.diophantine) partitions() (in module sympy.utilities.iterables) pat_matrix() (in module sympy.physics.matrices) Patch (class in sympy.diffgeom) pde_1st_linear_constant_coeff() (in module sympy.solvers.pde) pde_1st_linear_constant_coeff_homogeneous() (in module sympy.solvers.pde) pde_1st_linear_variable_coeff() (in module sympy.solvers.pde) pde_separate() (in module sympy.solvers.pde) pde_separate_add() (in module sympy.solvers.pde) pde_separate_mul() (in module sympy.solvers.pde) pdiv() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pdsolve() (in module sympy.solvers.pde) per() (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) perfect_power() (in module sympy.ntheory.factor_) periapsis (sympy.geometry.ellipse.Ellipse attribute) perimeter (sympy.geometry.polygon.Polygon attribute) period_find() (in module sympy.physics.quantum.shor) periodic_argument (class in sympy.functions.elementary.complexes) perm2tensor() (sympy.tensor.tensor.TensMul method) permeability (sympy.physics.optics.medium.Medium attribute) permittivity (sympy.physics.optics.medium.Medium attribute) Permutation (class in sympy.combinatorics.permutations) PermutationGroup (class in sympy.combinatorics.perm_groups) PermutationOperator (class in sympy.physics.secondquant) permute() (sympy.polys.polyclasses.DMP method) permuteBkwd() (sympy.matrices.matrices.MatrixBase method) permuteFwd() (sympy.matrices.matrices.MatrixBase method) perpendicular_bisector() (sympy.geometry.line.Segment method) perpendicular_line() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) perpendicular_plane() (sympy.geometry.plane.Plane method) perpendicular_segment() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) pexquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pgroup (sympy.combinatorics.polyhedron.Polyhedron attribute) Phase (in module sympy.physics.quantum.gate) phase (sympy.physics.optics.waves.TWave attribute) PhaseGate (class in sympy.physics.quantum.gate) Pi (class in sympy.core.numbers) PIABBra (class in sympy.physics.quantum.piab) PIABHamiltonian (class in sympy.physics.quantum.piab) PIABKet (class in sympy.physics.quantum.piab) Piecewise (class in sympy.functions.elementary.piecewise) piecewise_fold() (in module sympy.functions.elementary.piecewise) pinv() (sympy.matrices.matrices.MatrixBase method) pinv_solve() (sympy.matrices.matrices.MatrixBase method) Plane (class in sympy.geometry.plane) Plot (class in sympy.plotting.plot) plot() (in module sympy.plotting.plot) plot3d() (in module sympy.plotting.plot) plot3d_parametric_line() (in module sympy.plotting.plot) plot3d_parametric_surface() (in module sympy.plotting.plot) plot_gate() (sympy.physics.quantum.gate.CGate method) plot_implicit() (in module sympy.plotting.plot_implicit) plot_interval() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.Line method) (sympy.geometry.line.Ray method) (sympy.geometry.line.Segment method) (sympy.geometry.line3d.Line3D method) (sympy.geometry.line3d.Ray3D method) (sympy.geometry.line3d.Segment3D method) (sympy.geometry.polygon.Polygon method) plot_parametric() (in module sympy.plotting.plot) Point (class in sympy.diffgeom) (class in sympy.geometry.point) (class in sympy.physics.vector.point) point (sympy.core.function.Subs attribute) (sympy.physics.mechanics.particle.Particle attribute) point() (sympy.diffgeom.CoordSystem method) Point2D (class in sympy.geometry.point) Point3D (class in sympy.geometry.point) point_to_coords() (sympy.diffgeom.CoordSystem method) points (sympy.geometry.line.LinearEntity attribute) (sympy.geometry.line3d.LinearEntity3D attribute) pointwise_stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) Poisson() (in module sympy.stats) polar (sympy.sets.fancysets.ComplexRegion attribute) polar_lift (class in sympy.functions.elementary.complexes) PoleError (class in sympy.core.function) PolificationFailed (class in sympy.polys.polyerrors) pollard_pm1() (in module sympy.ntheory.factor_) pollard_rho() (in module sympy.ntheory.factor_) Poly (class in sympy.polys.polytools) poly() (in module sympy.polys.polytools) poly_from_expr() (in module sympy.polys.polytools) poly_ring() (sympy.polys.domains.domain.Domain method) poly_unify() (sympy.polys.polyclasses.DMF method) PolyElement (class in sympy.polys.rings) polygamma (class in sympy.functions.special.gamma_functions) Polygon (class in sympy.geometry.polygon) Polyhedron (class in sympy.combinatorics.polyhedron) polylog (class in sympy.functions.special.zeta_functions) polynomial() (sympy.series.formal.FormalPowerSeries method) PolynomialError (class in sympy.polys.polyerrors) PolynomialRing (class in sympy.polys.domains) PolyRing (class in sympy.polys.rings) pos() (sympy.polys.domains.domain.Domain method)

pos_from() (sympy.physics.vector.point.Point method) POSform() (in module sympy.logic.boolalg) posify() (in module sympy.simplify.simplify) position (sympy.physics.quantum.cartesian.XBra attribute) (sympy.physics.quantum.cartesian.XKet attribute) position_wrt() (sympy.vector.coordsysrect.CoordSysCartesian method) position_x (sympy.physics.quantum.cartesian.PositionState3D attribute) position_y (sympy.physics.quantum.cartesian.PositionState3D attribute) position_z (sympy.physics.quantum.cartesian.PositionState3D attribute) PositionBra3D (class in sympy.physics.quantum.cartesian) PositionKet3D (class in sympy.physics.quantum.cartesian) PositionState3D (class in sympy.physics.quantum.cartesian) positive (sympy.assumptions.ask.AssumptionKeys attribute) positive_definite (sympy.assumptions.ask.AssumptionKeys attribute) positive_roots() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) postfixes() (in module sympy.utilities.iterables) postorder_traversal() (in module sympy.utilities.iterables) potential_energy (sympy.physics.mechanics.particle.Particle attribute) (sympy.physics.mechanics.rigidbody.RigidBody attribute) potential_energy() (in module sympy.physics.mechanics.functions) Pow (class in sympy.core.power) Pow() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) (sympy.assumptions.handlers.ntheory.AskPrimeHandler static method) (sympy.assumptions.handlers.order.AskNegativeHandler static method) (sympy.assumptions.handlers.sets.AskAntiHermitianHandler static method) (sympy.assumptions.handlers.sets.AskHermitianHandler static method) (sympy.assumptions.handlers.sets.AskImaginaryHandler static method) (sympy.assumptions.handlers.sets.AskIntegerHandler static method) (sympy.assumptions.handlers.sets.AskRationalHandler static method) (sympy.assumptions.handlers.sets.AskRealHandler static method) pow() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) pow_xin() (in module sympy.polys.ring_series) powdenest() (in module sympy.simplify.powsimp) powerset() (sympy.sets.sets.Set method) powsimp() (in module sympy.simplify.powsimp) (sympy.core.expr.Expr method) pprint_nodes() (in module sympy.printing.tree) PQa() (in module sympy.solvers.diophantine) pquo() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) PRECEDENCE (in module sympy.printing.precedence) precedence() (in module sympy.printing.precedence) PRECEDENCE_FUNCTIONS (in module sympy.printing.precedence) PRECEDENCE_VALUES (in module sympy.printing.precedence) PrecisionExhausted (class in sympy.core.evalf) Predicate (class in sympy.assumptions.assume) preferred_index (sympy.functions.special.tensor_functions.KroneckerDelta attribute) (sympy.physics.secondquant.KroneckerDelta attribute) Prefix (class in sympy.physics.unitsystems.prefixes) prefixes() (in module sympy.utilities.iterables) prem() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) premises (sympy.categories.Diagram attribute) pretty() (in module sympy.printing.pretty.pretty) pretty_atom() (in module sympy.printing.pretty.pretty_symbology) pretty_print() (in module sympy.printing.pretty.pretty) pretty_symbol() (in module sympy.printing.pretty.pretty_symbology) pretty_try_use_unicode() (in module sympy.printing.pretty.pretty_symbology) pretty_use_unicode() (in module sympy.printing.pretty.pretty_symbology) prettyForm (class in sympy.printing.pretty.stringpict) PrettyPrinter (class in sympy.printing.pretty.pretty) prev() (sympy.combinatorics.prufer.Prufer method) prev_binary() (sympy.combinatorics.subsets.Subset method) prev_gray() (sympy.combinatorics.subsets.Subset method) prev_lex() (sympy.combinatorics.partitions.IntegerPartition method) prev_lexicographic() (sympy.combinatorics.subsets.Subset method) preview() (in module sympy.printing.preview) preview_diagram() (in module sympy.categories.diagram_drawing) prevprime() (in module sympy.ntheory.generate) prime (sympy.assumptions.ask.AssumptionKeys attribute) prime() (in module sympy.ntheory.generate) prime_as_sum_of_two_squares() (in module sympy.solvers.diophantine) primefactors() (in module sympy.ntheory.factor_) primepi() (in module sympy.ntheory.generate) primerange() (in module sympy.ntheory.generate) (sympy.ntheory.generate.Sieve method) primitive() (in module sympy.polys.polytools) (sympy.core.add.Add method) (sympy.core.expr.Expr method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) primitive_element() (in module sympy.polys.numberfields) primitive_root() (in module sympy.ntheory.residue_ntheory) primorial() (in module sympy.ntheory.generate) principal_branch (class in sympy.functions.elementary.complexes) print_ccode() (in module sympy.printing.ccode) print_dim_base() (sympy.physics.unitsystems.dimensions.DimensionSystem method) print_fcode() (in module sympy.printing.fcode) print_gtk() (in module sympy.printing.gtk) print_latex() (in module sympy.printing.latex) print_mathml() (in module sympy.printing.mathml) print_node() (in module sympy.printing.tree) print_nonzero() (sympy.matrices.matrices.MatrixBase method) print_tree() (in module sympy.printing.tree) print_unit_base() (sympy.physics.unitsystems.units.UnitSystem method) Printer (class in sympy.printing.printer) printmethod (sympy.printing.ccode.CCodePrinter attribute) (sympy.printing.codeprinter.CodePrinter attribute) (sympy.printing.fcode.FCodePrinter attribute) (sympy.printing.jscode.JavascriptCodePrinter attribute) (sympy.printing.julia.JuliaCodePrinter attribute) (sympy.printing.lambdarepr.LambdaPrinter attribute) (sympy.printing.latex.LatexPrinter attribute) (sympy.printing.mathematica.MCodePrinter attribute) (sympy.printing.mathml.MathMLPrinter attribute) (sympy.printing.octave.OctaveCodePrinter attribute) (sympy.printing.pretty.pretty.PrettyPrinter attribute) (sympy.printing.printer.Printer attribute) (sympy.printing.repr.ReprPrinter attribute) (sympy.printing.str.StrPrinter attribute) (sympy.printing.theanocode.TheanoPrinter attribute) printtoken() (in module sympy.parsing.sympy_tokenize) prob() (sympy.physics.quantum.state.Wavefunction method) prod() (in module sympy.core.mul) Product (class in sympy.concrete.products) product() (in module sympy.concrete.products) (sympy.polys.agca.ideals.Ideal method) ProductDomain (class in sympy.stats.rv) ProductPSpace (class in sympy.stats.rv) ProductSet (class in sympy.sets.sets) project() (sympy.matrices.matrices.MatrixBase method) projection() (sympy.geometry.line.LinearEntity method) (sympy.geometry.line3d.LinearEntity3D method) (sympy.geometry.plane.Plane method) (sympy.vector.vector.Vector method) projection_line() (sympy.geometry.plane.Plane method) Prufer (class in sympy.combinatorics.prufer) prufer_rank() (sympy.combinatorics.prufer.Prufer method) prufer_repr (sympy.combinatorics.prufer.Prufer attribute) psets (sympy.sets.fancysets.ComplexRegion attribute) psi_n() (in module sympy.physics.qho_1d) PSpace (class in sympy.stats.rv) pspace() (in module sympy.stats.rv) public() (in module sympy.utilities.decorator) PurePoly (class in sympy.polys.polytools) PxBra (class in sympy.physics.quantum.cartesian) PxKet (class in sympy.physics.quantum.cartesian) PxOp (class in sympy.physics.quantum.cartesian) PyTestReporter (class in sympy.utilities.runtests) Python Enhancement Proposals PEP 335, [1], [2], [3] PythonFiniteField (class in sympy.polys.domains) PythonIntegerRing (class in sympy.polys.domains) PythonRationalField (class in sympy.polys.domains)

Q

q (sympy.physics.optics.gaussopt.BeamParameter attribute) qapply() (in module sympy.physics.quantum.qapply) QFT (class in sympy.physics.quantum.qft) QRdecomposition() (sympy.matrices.matrices.MatrixBase method) QRsolve() (sympy.matrices.matrices.MatrixBase method) quadratic_residues() (in module sympy.ntheory.residue_ntheory) QuadraticU() (in module sympy.stats) Quantity (class in sympy.physics.unitsystems.quantities) QuaternionOrienter (class in sympy.vector.orienters) Qubit (class in sympy.physics.quantum.qubit) qubit_to_matrix() (in module sympy.physics.quantum.qubit)

QubitBra (class in sympy.physics.quantum.qubit) quo() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) quo_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) quotient() (sympy.polys.agca.ideals.Ideal method) quotient_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) quotient_hom() (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubQuotientModule method) quotient_module() (sympy.polys.agca.modules.FreeModule method) (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.SubModule method) quotient_ring() (sympy.polys.domains.ring.Ring method) QuotientModule (class in sympy.polys.agca.modules)

R

R_nl() (in module sympy.physics.hydrogen) (in module sympy.physics.sho) racah() (in module sympy.physics.wigner) rad_rationalize() (in module sympy.simplify.radsimp) radical() (sympy.polys.agca.ideals.Ideal method) radius (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.physics.optics.gaussopt.BeamParameter attribute) radius_of_convergence (sympy.functions.special.hyper.hyper attribute) radsimp() (in module sympy.simplify.radsimp) (sympy.core.expr.Expr method) RaisedCosine() (in module sympy.stats) raises() (in module sympy.utilities.pytest) randMatrix() (in module sympy.matrices.dense) random() (sympy.combinatorics.perm_groups.PermutationGroup method) (sympy.combinatorics.permutations.Permutation class method) random_bitstring() (sympy.combinatorics.graycode method) random_circuit() (in module sympy.physics.quantum.gate) random_complex_number() (in module sympy.utilities.randtest) random_integer_partition() (in module sympy.combinatorics.partitions) random_point() (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.line.LinearEntity method) (sympy.geometry.plane.Plane method) random_poly() (in module sympy.polys.specialpolys) random_pr() (sympy.combinatorics.perm_groups.PermutationGroup method) random_stab() (sympy.combinatorics.perm_groups.PermutationGroup method) random_symbols() (in module sympy.stats.rv) RandomDomain (class in sympy.stats.rv) RandomSymbol (class in sympy.stats.rv) randprime() (in module sympy.ntheory.generate) Range (class in sympy.sets.fancysets) ranges (sympy.tensor.indexed.Indexed attribute) rank (sympy.combinatorics.graycode.GrayCode attribute) (sympy.combinatorics.partitions.Partition attribute) (sympy.combinatorics.prufer.Prufer attribute) (sympy.tensor.indexed.Indexed attribute) rank() (sympy.combinatorics.permutations.Permutation method) (sympy.liealgebras.cartan_type.Standard_Cartan method) (sympy.matrices.matrices.MatrixBase method) rank_binary (sympy.combinatorics.subsets.Subset attribute) rank_gray (sympy.combinatorics.subsets.Subset attribute) rank_lexicographic (sympy.combinatorics.subsets.Subset attribute) rank_nonlex() (sympy.combinatorics.permutations.Permutation method) rank_trotterjohnson() (sympy.combinatorics.permutations.Permutation method) rat_clear_denoms() (sympy.polys.polytools.Poly method) rational Rational (class in sympy.core.numbers) rational (sympy.assumptions.ask.AssumptionKeys attribute) rational_algorithm() (in module sympy.series.formal) rational_independent() (in module sympy.series.formal) RationalField (class in sympy.polys.domains) rationalize() (in module sympy.parsing.sympy_parser) ratsimp() (in module sympy.simplify.ratsimp) (sympy.core.expr.Expr method) rawlines() (in module sympy.utilities.misc) Ray (class in sympy.geometry.line) Ray3D (class in sympy.geometry.line3d) Rayleigh() (in module sympy.stats) rayleigh2waist() (in module sympy.physics.optics.gaussopt) RayTransferMatrix (class in sympy.physics.optics.gaussopt) rcall() (sympy.core.basic.Basic method) rcollect() (in module sympy.simplify.radsimp) re (class in sympy.functions.elementary.complexes) real (sympy.assumptions.ask.AssumptionKeys attribute) real_elements (sympy.assumptions.ask.AssumptionKeys attribute) real_roots() (in module sympy.polys.polytools) (sympy.polys.polytools.Poly method) RealField (class in sympy.polys.domains) RealNumber (in module sympy.core.numbers) reconstruct() (in module sympy.solvers.diophantine) recurrence_memo() (in module sympy.utilities.memoization) red_groebner() (in module sympy.polys.groebnertools) reduce() (sympy.polys.polytools.GroebnerBasis method) (sympy.series.sequences.SeqAdd static method) (sympy.series.sequences.SeqMul static method) (sympy.sets.sets.Complement static method) (sympy.sets.sets.Intersection static method) (sympy.sets.sets.Union static method) reduce_abs_inequalities() (in module sympy.solvers.inequalities) reduce_abs_inequality() (in module sympy.solvers.inequalities) reduce_element() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) reduce_inequalities() (in module sympy.solvers.inequalities) reduce_rational_inequalities() (in module sympy.solvers.inequalities) reduced() (in module sympy.polys.polytools) ReferenceFrame (class in sympy.physics.vector.frame) refine() (in module sympy.assumptions.refine) (sympy.core.expr.Expr method) refine_abs() (in module sympy.assumptions.refine) refine_atan2() (in module sympy.assumptions.refine) refine_Pow() (in module sympy.assumptions.refine) refine_Relational() (in module sympy.assumptions.refine) refine_root() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) RefinementFailed (class in sympy.polys.polyerrors) reflect() (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.polygon.RegularPolygon method) refraction_angle() (in module sympy.physics.optics.utils) refractive_index (sympy.physics.optics.medium.Medium attribute) register_handler() (in module sympy.assumptions.ask) RegularPolygon (class in sympy.geometry.polygon) Rel (in module sympy.core.relational) rem() (in module sympy.polys.polytools) (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) remove_handler() (in module sympy.assumptions.ask) removeO() (sympy.core.expr.Expr method) render() (sympy.printing.pretty.stringpict.stringPict method) reorder() (sympy.polys.polytools.Poly method) rep_expectation() (in module sympy.physics.quantum.represent) rep_innerproduct() (in module sympy.physics.quantum.represent) replace() (in module sympy.utilities.misc) (sympy.core.basic.Basic method) (sympy.matrices.matrices.MatrixBase method) (sympy.polys.polytools.Poly method) Reporter (class in sympy.utilities.runtests) represent() (in module sympy.physics.quantum.represent) reprify() (sympy.printing.repr.ReprPrinter method) ReprPrinter (class in sympy.printing.repr) reset() (sympy.combinatorics.polyhedron.Polyhedron method) reshape() (in module sympy.utilities.iterables) (sympy.matrices.sparse.SparseMatrix method) residue() (in module sympy.series.residues) restrict_codomain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) restrict_domain() (sympy.polys.agca.homomorphisms.ModuleHomomorphism method) Result (class in sympy.utilities.codegen) result_variables (sympy.utilities.codegen.Routine attribute) resultant() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) retract() (sympy.polys.polytools.Poly method)

reverse_order() (sympy.concrete.products.Product method) (sympy.concrete.summations.Sum method) ReversedGradedLexOrder (class in sympy.polys.orderings) revert() (sympy.polys.domains.domain.Domain method) (sympy.polys.domains.field.Field method) (sympy.polys.domains.ring.Ring method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) rewrite() (in module sympy.series.gruntz) (sympy.core.basic.Basic method) RGS (sympy.combinatorics.partitions.Partition attribute) RGS_enum() (in module sympy.combinatorics.partitions) RGS_generalized() (in module sympy.combinatorics.partitions) RGS_rank() (in module sympy.combinatorics.partitions) RGS_unrank() (in module sympy.combinatorics.partitions) rhs() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method) richardson() (in module sympy.series.acceleration) riemann_cyclic() (in module sympy.tensor.tensor) riemann_cyclic_replace() (in module sympy.tensor.tensor) right (sympy.sets.sets.Interval attribute) right() (sympy.printing.pretty.stringpict.stringPict method) right_open (sympy.sets.sets.Interval attribute) RigidBody (class in sympy.physics.mechanics.rigidbody) Ring (class in sympy.polys.domains.ring) ring() (in module sympy.polys.rings) RisingFactorial (class in sympy.functions.combinatorial.factorials) Rk (in module sympy.physics.quantum.qft) RkGate (class in sympy.physics.quantum.qft) RL (sympy.matrices.sparse.SparseMatrix attribute) rmul() (sympy.combinatorics.permutations.Permutation static method) rmul_with_af() (sympy.combinatorics.permutations.Permutation static method) root (in module sympy.printing.pretty.pretty_symbology) root() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.polytools.Poly method) (sympy.printing.pretty.stringpict.stringPict method) root_space() (sympy.liealgebras.root_system.RootSystem method) RootOf (class in sympy.polys.rootoftools) rootof() (in module sympy.polys.rootoftools) roots() (in module sympy.polys.polyroots) (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) RootSum (class in sympy.polys.rootoftools) RootSystem (class in sympy.liealgebras.root_system) Ropen() (sympy.sets.sets.Interval class method) rot_axis1() (in module sympy.matrices.dense) rot_axis2() (in module sympy.matrices.dense) rot_axis3() (in module sympy.matrices.dense) rotate() (sympy.combinatorics.polyhedron.Polyhedron method) (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.polygon.RegularPolygon method) rotate_left() (in module sympy.utilities.iterables) rotate_right() (in module sympy.utilities.iterables) Rotation (class in sympy.physics.quantum.spin) rotation (sympy.geometry.polygon.RegularPolygon attribute) rotation_matrix() (sympy.vector.coordsysrect.CoordSysCartesian method) (sympy.vector.orienters.AxisOrienter method) (sympy.vector.orienters.Orienter method) round() (sympy.core.expr.Expr method) RoundFunction (class in sympy.functions.elementary.integers) Routine (class in sympy.utilities.codegen) routine() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.codegen.JuliaCodeGen method) (sympy.utilities.codegen.OctaveCodeGen method) row() (sympy.matrices.sparse.SparseMatrix method) row_del() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_insert() (sympy.matrices.matrices.MatrixBase method) row_join() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.MutableSparseMatrix method) row_list() (sympy.matrices.sparse.SparseMatrix method) row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) row_structure_symbolic_cholesky() (sympy.matrices.sparse.SparseMatrix method) row_swap() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) rref() (sympy.matrices.matrices.MatrixBase method) rs_asin() (in module sympy.polys.ring_series) rs_atan() (in module sympy.polys.ring_series) rs_atanh() (in module sympy.polys.ring_series) rs_compose_add() (in module sympy.polys.ring_series) rs_cos() (in module sympy.polys.ring_series) rs_cos_sin() (in module sympy.polys.ring_series) rs_cosh() (in module sympy.polys.ring_series) rs_cot() (in module sympy.polys.ring_series) rs_diff() (in module sympy.polys.ring_series) rs_exp() (in module sympy.polys.ring_series) rs_fun() (in module sympy.polys.ring_series) rs_hadamard_exp() (in module sympy.polys.ring_series) rs_integrate() (in module sympy.polys.ring_series) rs_is_puiseux() (in module sympy.polys.ring_series) rs_LambertW() (in module sympy.polys.ring_series) rs_log() (in module sympy.polys.ring_series) rs_mul() (in module sympy.polys.ring_series) rs_newton() (in module sympy.polys.ring_series) rs_nth_root() (in module sympy.polys.ring_series) rs_pow() (in module sympy.polys.ring_series) rs_puiseux() (in module sympy.polys.ring_series) rs_puiseux2() (in module sympy.polys.ring_series) rs_series_from_list() (in module sympy.polys.ring_series) rs_series_inversion() (in module sympy.polys.ring_series) rs_series_reversion() (in module sympy.polys.ring_series) rs_sin() (in module sympy.polys.ring_series) rs_sinh() (in module sympy.polys.ring_series) rs_square() (in module sympy.polys.ring_series) rs_subs() (in module sympy.polys.ring_series) rs_swap() (in module sympy.stats.rv) rs_tan() (in module sympy.polys.ring_series) rs_tanh() (in module sympy.polys.ring_series) rs_trunc() (in module sympy.polys.ring_series) rsa_private_key() (in module sympy.crypto.crypto) rsa_public_key() (in module sympy.crypto.crypto) rsolve() (in module sympy.solvers.recurr) rsolve_hyper() (in module sympy.solvers.recurr) rsolve_hypergeometric() (in module sympy.series.formal) rsolve_poly() (in module sympy.solvers.recurr) rsolve_ratio() (in module sympy.solvers.recurr) run() (sympy.utilities.runtests.SymPyDocTestRunner method) run_all_tests() (in module sympy.utilities.runtests) run_in_subprocess_with_hash_randomization() (in module sympy.utilities.runtests) runs() (in module sympy.utilities.iterables) (sympy.combinatorics.permutations.Permutation method)

S

S (in module sympy.core.singleton) (in module sympy.physics.quantum.gate) sample() (in module sympy.stats) sample_iter() (in module sympy.stats) satisfiable() (in module sympy.logic.inference) saturate() (sympy.polys.agca.ideals.Ideal method) scalar_map() (sympy.vector.coordsysrect.CoordSysCartesian method) scalar_multiply() (sympy.matrices.sparse.SparseMatrix method) scalar_potential() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scalar_potential_difference() (in module sympy.physics.vector.fieldfunctions) (in module sympy.vector) scale() (sympy.geometry.curve.Curve method) (sympy.geometry.ellipse.Circle method) (sympy.geometry.ellipse.Ellipse method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.geometry.polygon.RegularPolygon method) (sympy.series.fourier.FourierSeries method) scalex() (sympy.series.fourier.FourierSeries method) schreier_sims() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_incremental() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_sims_random() (sympy.combinatorics.perm_groups.PermutationGroup method) schreier_vector() (sympy.combinatorics.perm_groups.PermutationGroup method) sdm_add() (in module sympy.polys.distributedmodules) sdm_deg() (in module sympy.polys.distributedmodules) sdm_ecart() (in module sympy.polys.distributedmodules) sdm_from_dict() (in module sympy.polys.distributedmodules) sdm_from_vector() (in module sympy.polys.distributedmodules) sdm_groebner() (in module sympy.polys.distributedmodules) sdm_LC() (in module sympy.polys.distributedmodules) sdm_LM() (in module sympy.polys.distributedmodules) sdm_LT() (in module sympy.polys.distributedmodules) sdm_monomial_deg() (in module sympy.polys.distributedmodules) sdm_monomial_divides() (in module sympy.polys.distributedmodules) sdm_monomial_mul() (in module sympy.polys.distributedmodules) sdm_mul_term() (in module sympy.polys.distributedmodules) sdm_nf_mora() (in module sympy.polys.distributedmodules) sdm_spoly() (in module sympy.polys.distributedmodules) sdm_to_dict() (in module sympy.polys.distributedmodules) sdm_to_vector() (in module sympy.polys.distributedmodules) sdm_zero() (in module sympy.polys.distributedmodules) search() (sympy.ntheory.generate.Sieve method) search_function (sympy.physics.quantum.grover.OracleGate attribute) sec (class in sympy.functions.elementary.trigonometric) sech (class in sympy.functions.elementary.hyperbolic) Segment (class in sympy.geometry.line) Segment3D (class in sympy.geometry.line3d) select() (sympy.simplify.epathtools.EPath method) selections (sympy.combinatorics.graycode.GrayCode attribute) separate() (sympy.core.expr.Expr method) (sympy.physics.vector.vector.Vector method) (sympy.vector.vector.Vector method) separatevars() (in module sympy.simplify.simplify) SeqAdd (class in sympy.series.sequences) SeqBase (class in sympy.series.sequences) SeqFormula (class in sympy.series.sequences) SeqMul (class in sympy.series.sequences) SeqPer (class in sympy.series.sequences) sequence() (in module sympy.series.sequences) series() (in module sympy.series.series) (sympy.core.expr.Expr method) (sympy.liealgebras.cartan_type.Standard_Cartan method) Set (class in sympy.sets.sets) set_acc() (sympy.physics.vector.point.Point method) set_ang_acc() (sympy.physics.vector.frame.ReferenceFrame method) set_ang_vel() (sympy.physics.vector.frame.ReferenceFrame method) set_comm() (sympy.tensor.tensor._TensorManager method) set_comms() (sympy.tensor.tensor._TensorManager method) set_domain() (sympy.polys.polytools.Poly method) set_global_settings() (sympy.printing.printer.Printer class method) set_modulus() (sympy.polys.polytools.Poly method) set_pos() (sympy.physics.vector.point.Point method) set_vel() (sympy.physics.vector.point.Point method) seterr() (in module sympy.core.numbers) sets (sympy.sets.fancysets.ComplexRegion attribute) shanks() (in module sympy.series.acceleration) shape (sympy.matrices.matrices.MatrixBase attribute) (sympy.tensor.indexed.Indexed attribute) (sympy.tensor.indexed.IndexedBase attribute) ShapeError (class in sympy.matrices.matrices) Shi (class in sympy.functions.special.error_functions) shift() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.series.fourier.FourierSeries method) shiftx() (sympy.series.fourier.FourierSeries method) shor() (in module sympy.physics.quantum.shor) Si (class in sympy.functions.special.error_functions) sides (sympy.geometry.polygon.Polygon attribute) Sieve (class in sympy.ntheory.generate) sift() (in module sympy.utilities.iterables) sign (class in sympy.functions.elementary.complexes) sign() (in module sympy.series.gruntz) signature() (sympy.combinatorics.permutations.Permutation method) simple_root() (sympy.liealgebras.type_a.TypeA method) (sympy.liealgebras.type_b.TypeB method) (sympy.liealgebras.type_c.TypeC method) (sympy.liealgebras.type_d.TypeD method) (sympy.liealgebras.type_e.TypeE method) (sympy.liealgebras.type_f.TypeF method) (sympy.liealgebras.type_g.TypeG method) simple_roots() (sympy.liealgebras.root_system.RootSystem method) simpleDE() (in module sympy.series.formal) SimpleDomain (class in sympy.polys.domains.simpledomain) simplified() (in module sympy.solvers.diophantine) simplify() (in module sympy.simplify.simplify) (sympy.core.expr.Expr method) (sympy.functions.special.delta_functions.DiracDelta method) (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) simplify_gpgp() (sympy.physics.hep.gamma_matrices.GammaMatrixHead static method) simplify_index_permutations() (in module sympy.physics.secondquant) simplify_lines() (sympy.physics.hep.gamma_matrices.GammaMatrixHead static method) simplify_logic() (in module sympy.logic.boolalg) sin (class in sympy.functions.elementary.trigonometric) sinc (class in sympy.functions.elementary.trigonometric) sine_transform() (in module sympy.integrals.transforms) SingleDomain (class in sympy.stats.rv) SinglePSpace (class in sympy.stats.rv) singular (sympy.assumptions.ask.AssumptionKeys attribute) singular_values() (sympy.matrices.matrices.MatrixBase method) singularities() (in module sympy.calculus.singularities) sinh (class in sympy.functions.elementary.hyperbolic) size (sympy.combinatorics.permutations.Permutation attribute) (sympy.combinatorics.polyhedron.Polyhedron attribute) (sympy.combinatorics.prufer.Prufer attribute) (sympy.combinatorics.subsets.Subset attribute) SKIP() (in module sympy.utilities.pytest) skip() (sympy.combinatorics.graycode.GrayCode method) slice() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) slope (sympy.geometry.line.LinearEntity attribute) smoothness() (in module sympy.ntheory.factor_) smoothness_p() (in module sympy.ntheory.factor_) solve() (in module sympy.solvers.solvers) (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_congruence() (in module sympy.ntheory.modular) solve_de() (in module sympy.series.formal) solve_least_squares() (sympy.matrices.matrices.MatrixBase method) (sympy.matrices.sparse.SparseMatrix method) solve_linear() (in module sympy.solvers.solvers) solve_linear_system() (in module sympy.solvers.solvers) solve_linear_system_LU() (in module sympy.solvers.solvers) solve_multipliers() (sympy.physics.mechanics.lagrange.LagrangesMethod method) solve_poly_inequality() (in module sympy.solvers.inequalities) solve_poly_system() (in module sympy.solvers.polysys) solve_rational_inequalities() (in module sympy.solvers.inequalities) solve_triangulated() (in module sympy.solvers.polysys) solve_undetermined_coeffs() (in module sympy.solvers.solvers) solve_univariate_inequality() (in module sympy.solvers.inequalities) solveset() (in module sympy.solvers.solveset) solveset_complex() (in module sympy.solvers.solveset) solveset_real() (in module sympy.solvers.solveset) SOPform() (in module sympy.logic.boolalg) sort_dims() (sympy.physics.unitsystems.dimensions.DimensionSystem static method) sort_key() (sympy.combinatorics.partitions.Partition method) (sympy.core.basic.Basic method) sorted_components() (sympy.tensor.tensor.TensMul method) source (sympy.geometry.line.Ray attribute) (sympy.geometry.line3d.Ray3D attribute) source() (in module sympy.utilities.source) SpaceOrienter (class in sympy.vector.orienters) SparseMatrix (class in sympy.matrices.sparse) speed (sympy.physics.optics.medium.Medium attribute) (sympy.physics.optics.waves.TWave attribute) spin() (sympy.geometry.polygon.RegularPolygon method) split() (sympy.tensor.tensor.TensMul method) split_list() (in module sympy.utilities.runtests) split_super_sub() (in module sympy.printing.conventions) split_symbols() (in module sympy.parsing.sympy_parser) split_symbols_custom() (in module sympy.parsing.sympy_parser) spoly() (in module sympy.polys.groebnertools) sqf() (in module sympy.polys.polytools) sqf_list() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_list_include() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_norm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqf_part() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqr() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sqrt() (in module sympy.functions.elementary.miscellaneous) (sympy.polys.domains.domain.Domain method) sqrt_mod() (in module sympy.ntheory.residue_ntheory) sqrtdenest() (in module sympy.simplify.sqrtdenest) square (sympy.assumptions.ask.AssumptionKeys attribute) square() (sympy.polys.rings.PolyElement method) square_factor() (in module sympy.solvers.diophantine) srepr() (in module sympy.printing.repr) sring() (in module sympy.polys.rings) sstrrepr() (in module sympy.printing.str) stabilizer() (sympy.combinatorics.perm_groups.PermutationGroup method) stack() (sympy.printing.pretty.stringpict.stringPict static method) Standard_Cartan (class in sympy.liealgebras.cartan_type) standard_transformations (in module sympy.parsing.sympy_parser) start (sympy.series.sequences.SeqBase attribute) (sympy.sets.sets.Interval attribute) State (class in sympy.physics.quantum.state) state() (sympy.physics.secondquant.FixedBosonicBasis method) (sympy.physics.secondquant.VarBosonicBasis method) state_to_operators() (in module sympy.physics.quantum.operatorset) StateBase (class in sympy.physics.quantum.state) std() (in module sympy.stats) stieltjes (class in sympy.functions.special.zeta_functions) stirling() (in module sympy.functions.combinatorial.numbers) stop (sympy.series.sequences.SeqBase attribute) StopTokenizing (class in sympy.parsing.sympy_tokenize) StrictGreaterThan (class in sympy.core.relational) StrictLessThan (class in sympy.core.relational) stringify_expr() (in module sympy.parsing.sympy_parser) stringPict (class in sympy.printing.pretty.stringpict) strip_zero() (sympy.polys.rings.PolyElement method) strong_gens (sympy.combinatorics.perm_groups.PermutationGroup attribute) StrPrinter (class in sympy.printing.str) StudentT() (in module sympy.stats) sturm() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub (in module sympy.printing.pretty.pretty_symbology) sub() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.DMF method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) sub_ground() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) subdiagram_from_objects() (sympy.categories.Diagram method) subfactorial (class in sympy.functions.combinatorial.factorials) subgroup_search() (sympy.combinatorics.perm_groups.PermutationGroup method) SubModule (class in sympy.polys.agca.modules) submodule() (sympy.polys.agca.modules.Module method) (sympy.polys.agca.modules.QuotientModule method) (sympy.polys.agca.modules.SubModule method) SubQuotientModule (class in sympy.polys.agca.modules) subresultants() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Subs (class in sympy.core.function) subs() (sympy.core.basic.Basic method) (sympy.matrices.immutable.ImmutableSparseMatrix method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) Subset (class in sympy.combinatorics.subsets) subset (sympy.combinatorics.subsets.Subset attribute) subset() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.Module method) subset_from_bitlist() (sympy.combinatorics.subsets.Subset class method) subset_indices() (sympy.combinatorics.subsets.Subset class method) subsets() (in module sympy.utilities.iterables) SubsSet (class in sympy.series.gruntz) substitute_dummies() (in module sympy.physics.secondquant) substitute_indices() (sympy.tensor.tensor.TensAdd method) Sum (class in sympy.concrete.summations) sum_of_four_squares() (in module sympy.solvers.diophantine) sum_of_three_squares() (in module sympy.solvers.diophantine) summation() (in module sympy.concrete.summations) sup (in module sympy.printing.pretty.pretty_symbology) (sympy.sets.sets.Set attribute) superposition_basis() (in module sympy.physics.quantum.grover) superset (sympy.combinatorics.subsets.Subset attribute) superset_size (sympy.combinatorics.subsets.Subset attribute) support() (sympy.combinatorics.permutations.Permutation method) SurfaceBaseSeries (class in sympy.plotting.plot) SurfaceOver2DRangeSeries (class in sympy.plotting.plot) SWAP (in module sympy.physics.quantum.gate) swap_point() (sympy.physics.quantum.circuitplot.CircuitPlot method) SwapGate (class in sympy.physics.quantum.gate) swinnerton_dyer_poly() (in module sympy.polys.specialpolys) symarray() (in module sympy.matrices.dense) symb_2txt (in module sympy.printing.pretty.pretty_symbology) Symbol (class in sympy.core.symbol) symbol (sympy.physics.secondquant.AntiSymmetricTensor attribute) Symbol() (sympy.assumptions.handlers.calculus.AskFiniteHandler static method) symbols() (in module sympy.core.symbol) symmetric (sympy.assumptions.ask.AssumptionKeys attribute) symmetric() (sympy.combinatorics.generators method) symmetric_poly() (in module sympy.polys.specialpolys) symmetric_residue() (in module sympy.ntheory.modular)

SymmetricGroup() (in module sympy.combinatorics.named_groups) symmetrize() (in module sympy.polys.polyfuncs) sympify() (in module sympy.core.sympify) sympy (module) sympy.assumptions (module) sympy.assumptions.ask (module) sympy.assumptions.assume (module) sympy.assumptions.handlers (module) sympy.assumptions.handlers.calculus (module) sympy.assumptions.handlers.ntheory (module) sympy.assumptions.handlers.order (module) sympy.assumptions.handlers.sets (module) sympy.assumptions.refine (module) sympy.calculus (module) sympy.calculus.euler (module) sympy.calculus.finite_diff (module) sympy.calculus.singularities (module) sympy.categories (module) sympy.categories.diagram_drawing (module) sympy.combinatorics.generators (module) sympy.combinatorics.graycode (module) sympy.combinatorics.group_constructs (module) sympy.combinatorics.named_groups (module) sympy.combinatorics.partitions (module) sympy.combinatorics.perm_groups (module) sympy.combinatorics.permutations (module) sympy.combinatorics.polyhedron (module) sympy.combinatorics.prufer (module) sympy.combinatorics.subsets (module) sympy.combinatorics.tensor_can (module) sympy.combinatorics.testutil (module) sympy.combinatorics.util (module) sympy.core.add (module) sympy.core.assumptions (module) sympy.core.basic (module) sympy.core.cache (module) sympy.core.compatibility (module) sympy.core.containers (module) sympy.core.core (module) sympy.core.evalf (module) sympy.core.expr (module) sympy.core.exprtools (module) sympy.core.function (module) sympy.core.mod (module) sympy.core.mul (module) sympy.core.multidimensional (module) sympy.core.numbers (module) sympy.core.power (module) sympy.core.relational (module) sympy.core.singleton (module) sympy.core.symbol (module) sympy.core.sympify (module) sympy.crypto.crypto (module) sympy.diffgeom (module) sympy.functions (module) sympy.functions.special.bessel (module) sympy.functions.special.beta_functions (module) sympy.functions.special.elliptic_integrals (module) sympy.functions.special.error_functions (module) sympy.functions.special.gamma_functions (module) sympy.functions.special.mathieu_functions (module) sympy.functions.special.polynomials (module) sympy.functions.special.zeta_functions (module) sympy.geometry.curve (module) sympy.geometry.ellipse (module) sympy.geometry.entity (module) sympy.geometry.line (module) sympy.geometry.line3d (module) sympy.geometry.plane (module) sympy.geometry.point (module) sympy.geometry.polygon (module) sympy.geometry.util (module) sympy.integrals (module) sympy.integrals.meijerint_doc (module) sympy.integrals.transforms (module) sympy.liealgebras (module) sympy.logic (module) sympy.matrices (module) sympy.matrices.expressions (module) sympy.matrices.expressions.blockmatrix (module) sympy.matrices.immutable (module) sympy.matrices.matrices (module) sympy.matrices.sparse (module) sympy.ntheory.continued_fraction (module) sympy.ntheory.egyptian_fraction (module) sympy.ntheory.factor_ (module) sympy.ntheory.generate (module) sympy.ntheory.modular (module) sympy.ntheory.multinomial (module) sympy.ntheory.partitions_ (module) sympy.ntheory.primetest (module) sympy.ntheory.residue_ntheory (module) sympy.physics (module) sympy.physics.hep.gamma_matrices (module) sympy.physics.hydrogen (module) sympy.physics.matrices (module) sympy.physics.mechanics.body (module) sympy.physics.mechanics.kane (module) sympy.physics.mechanics.lagrange (module) sympy.physics.mechanics.linearize (module) sympy.physics.mechanics.particle (module) sympy.physics.mechanics.rigidbody (module) sympy.physics.optics.gaussopt (module) sympy.physics.optics.medium (module) sympy.physics.optics.utils (module) sympy.physics.optics.waves (module) sympy.physics.paulialgebra (module) sympy.physics.qho_1d (module) sympy.physics.quantum.anticommutator (module) sympy.physics.quantum.cartesian (module) sympy.physics.quantum.cg (module) sympy.physics.quantum.circuitplot (module) sympy.physics.quantum.commutator (module) sympy.physics.quantum.constants (module) sympy.physics.quantum.dagger (module) sympy.physics.quantum.gate (module) sympy.physics.quantum.grover (module) sympy.physics.quantum.hilbert (module) sympy.physics.quantum.innerproduct (module) sympy.physics.quantum.operator (module) sympy.physics.quantum.operatorset (module) sympy.physics.quantum.piab (module) sympy.physics.quantum.qapply (module) sympy.physics.quantum.qft (module) sympy.physics.quantum.qubit (module) sympy.physics.quantum.represent (module) sympy.physics.quantum.shor (module) sympy.physics.quantum.spin (module) sympy.physics.quantum.state (module) sympy.physics.quantum.tensorproduct (module) sympy.physics.secondquant (module) sympy.physics.sho (module) sympy.physics.units (module) sympy.physics.unitsystems.dimensions (module) sympy.physics.unitsystems.prefixes (module) sympy.physics.unitsystems.quantities (module) sympy.physics.unitsystems.units (module) sympy.physics.vector.functions (module) sympy.physics.vector.point (module) sympy.physics.wigner (module) sympy.plotting.plot (module) sympy.plotting.pygletplot (module) sympy.printing.ccode (module) sympy.printing.codeprinter (module) sympy.printing.conventions (module) sympy.printing.fcode (module) sympy.printing.gtk (module) sympy.printing.jscode (module) sympy.printing.julia (module) sympy.printing.lambdarepr (module) sympy.printing.latex (module) sympy.printing.mathematica (module) sympy.printing.mathml (module) sympy.printing.octave (module) sympy.printing.precedence (module) sympy.printing.pretty.pretty (module) sympy.printing.pretty.pretty_symbology (module) sympy.printing.pretty.stringpict (module) sympy.printing.preview (module) sympy.printing.printer (module) sympy.printing.python (module) sympy.printing.repr (module) sympy.printing.str (module) sympy.printing.theanocode (module) sympy.printing.tree (module) sympy.sets.fancysets (module) sympy.sets.sets (module) sympy.simplify.combsimp (module) sympy.simplify.cse_main (module), [1] sympy.simplify.epathtools (module) sympy.simplify.hyperexpand (module) sympy.simplify.hyperexpand_doc (module) sympy.simplify.powsimp (module) sympy.simplify.radsimp (module) sympy.simplify.ratsimp (module) sympy.simplify.simplify (module) sympy.simplify.sqrtdenest (module) sympy.simplify.traversaltools (module) sympy.simplify.trigsimp (module) sympy.solvers (module) sympy.solvers.inequalities (module) sympy.solvers.ode (module) sympy.solvers.pde (module) sympy.solvers.recurr (module) sympy.solvers.solveset (module) sympy.stats (module) sympy.stats.crv (module) sympy.stats.crv_types (module) sympy.stats.Die() (in module sympy.stats.crv_types) sympy.stats.frv (module) sympy.stats.frv_types (module) sympy.stats.Normal() (in module sympy.stats.crv_types) sympy.stats.rv (module) sympy.tensor (module) sympy.tensor.array (module) sympy.tensor.index_methods (module) sympy.tensor.indexed (module) sympy.tensor.tensor (module) sympy.utilities (module) sympy.utilities.autowrap (module) sympy.utilities.codegen (module) sympy.utilities.decorator (module) sympy.utilities.enumerative (module) sympy.utilities.iterables (module) sympy.utilities.lambdify (module) sympy.utilities.memoization (module) sympy.utilities.misc (module) sympy.utilities.pkgdata (module) sympy.utilities.pytest (module) sympy.utilities.randtest (module) sympy.utilities.runtests (module) sympy.utilities.source (module) sympy.utilities.timeutils (module) SymPyDocTestFinder (class in sympy.utilities.runtests) SymPyDocTestRunner (class in sympy.utilities.runtests) SymPyOutputChecker (class in sympy.utilities.runtests) sympytestfile() (in module sympy.utilities.runtests) SymPyTestResults (in module sympy.utilities.runtests) syzygy_module() (sympy.polys.agca.modules.SubModule method)

T

T (in module sympy.physics.quantum.gate) (sympy.matrices.expressions.MatrixExpr attribute) (sympy.matrices.matrices.MatrixBase attribute) t (sympy.physics.quantum.shor.CMod attribute) table() (sympy.matrices.matrices.MatrixBase method) tail_degree() (sympy.polys.rings.PolyElement method) tail_degrees() (sympy.polys.rings.PolyElement method) take() (in module sympy.utilities.iterables) tan (class in sympy.functions.elementary.trigonometric) tangent_lines() (sympy.geometry.ellipse.Ellipse method) tanh (class in sympy.functions.elementary.hyperbolic) targets (sympy.physics.quantum.gate.CGate attribute) (sympy.physics.quantum.gate.CNotGate attribute) (sympy.physics.quantum.gate.Gate attribute) (sympy.physics.quantum.gate.UGate attribute) (sympy.physics.quantum.grover.OracleGate attribute) taxicab_distance() (sympy.geometry.point.Point method) taylor_term() (sympy.core.expr.Expr method) (sympy.functions.elementary.exponential.exp static method) (sympy.functions.elementary.exponential.log static method) (sympy.functions.elementary.hyperbolic.csch static method) (sympy.functions.elementary.hyperbolic.sinh static method) TC() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) TensAdd (class in sympy.tensor.tensor) TensExpr (class in sympy.tensor.tensor) TensMul (class in sympy.tensor.tensor) tensor_indices() (in module sympy.tensor.tensor) tensor_mul() (in module sympy.tensor.tensor) tensor_product_simp() (in module sympy.physics.quantum.tensorproduct) TensorHead (class in sympy.tensor.tensor) TensorIndex (class in sympy.tensor.tensor) TensorIndexType (class in sympy.tensor.tensor) TensorProduct (class in sympy.diffgeom) (class in sympy.physics.quantum.tensorproduct) TensorSymmetry (class in sympy.tensor.tensor) tensorsymmetry() (in module sympy.tensor.tensor) TensorType (class in sympy.tensor.tensor) terminal_width() (sympy.printing.pretty.stringpict.stringPict method) terms() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) (sympy.polys.rings.PolyElement method) terms_gcd() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) termwise() (sympy.polys.polytools.Poly method) test() (in module sympy.utilities.runtests) test_derivative_numerically() (in module sympy.utilities.randtest) TGate (class in sympy.physics.quantum.gate) theano_function() (in module sympy.printing.theanocode) TheanoPrinter (class in sympy.printing.theanocode) ThinLens (class in sympy.physics.optics.gaussopt) threaded() (in module sympy.utilities.decorator) threaded_factory() (in module sympy.utilities.decorator) time (sympy.physics.quantum.state.TimeDepState attribute) time_derivative() (in module sympy.physics.vector.functions) time_period (sympy.physics.optics.waves.TWave attribute) timed() (in module sympy.utilities.timeutils) TimeDepBra (class in sympy.physics.quantum.state) TimeDepKet (class in sympy.physics.quantum.state) TimeDepState (class in sympy.physics.quantum.state) to_algebraic_integer() (sympy.polys.numberfields.AlgebraicNumber method) to_cnf() (in module sympy.logic.boolalg) to_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_dnf() (in module sympy.logic.boolalg) to_exact() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_field() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_linearizer() (sympy.physics.mechanics.kane.KanesMethod method) (sympy.physics.mechanics.lagrange.LagrangesMethod method)

to_list() (sympy.polys.polyclasses.ANP method) to_matrix() (sympy.physics.vector.dyadic.Dyadic method) (sympy.physics.vector.vector.Vector method) (sympy.vector.dyadic.Dyadic method) (sympy.vector.vector.Vector method) to_number_field() (in module sympy.polys.numberfields) to_prufer() (sympy.combinatorics.prufer.Prufer static method) to_rational() (sympy.polys.domains.RealField method) to_ring() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) to_sympy() (sympy.polys.domains.AlgebraicField method) (sympy.polys.domains.ExpressionDomain method) (sympy.polys.domains.FiniteField method) (sympy.polys.domains.FractionField method) (sympy.polys.domains.PolynomialRing method) (sympy.polys.domains.RealField method) (sympy.polys.domains.domain.Domain method) to_sympy_dict() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) to_sympy_list() (sympy.polys.polyclasses.ANP method) to_tree() (sympy.combinatorics.prufer.Prufer static method) to_tuple() (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) together() (in module sympy.polys.rationaltools) (sympy.core.expr.Expr method) TokenError (class in sympy.parsing.sympy_tokenize) tokenize() (in module sympy.parsing.sympy_tokenize) tolist() (sympy.matrices.sparse.SparseMatrix method) topological_sort() (in module sympy.utilities.iterables) total_degree() (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) totient() (in module sympy.ntheory.factor_) Trace (class in sympy.matrices.expressions) trailing() (in module sympy.ntheory.factor_) transcendental (sympy.assumptions.ask.AssumptionKeys attribute) transform() (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) (sympy.integrals.Integral method) transformation_to_DN() (in module sympy.solvers.diophantine) transitivity_degree (sympy.combinatorics.perm_groups.PermutationGroup attribute) translate() (in module sympy.utilities.misc) (sympy.geometry.curve.Curve method) (sympy.geometry.entity.GeometryEntity method) (sympy.geometry.point.Point2D method) (sympy.geometry.point.Point3D method) Transpose (class in sympy.matrices.expressions) transpose() (sympy.matrices.expressions.blockmatrix.BlockMatrix method) transpositions() (sympy.combinatorics.permutations.Permutation method) tree() (in module sympy.printing.tree) tree_cse() (in module sympy.simplify.cse_main) tree_repr (sympy.combinatorics.prufer.Prufer attribute) Triangle (class in sympy.geometry.polygon) triangular (sympy.assumptions.ask.AssumptionKeys attribute) Triangular() (in module sympy.stats) trigamma() (in module sympy.functions.special.gamma_functions) trigsimp() (in module sympy.simplify.trigsimp) (sympy.core.expr.Expr method) trunc() (in module sympy.polys.polytools) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) truncate() (sympy.series.formal.FormalPowerSeries method) (sympy.series.fourier.FourierSeries method) Tuple (class in sympy.core.containers) tuple_count() (sympy.core.containers.Tuple method) TWave (class in sympy.physics.optics.waves) two_qubit_box() (sympy.physics.quantum.circuitplot.CircuitPlot method) twoform_to_matrix() (in module sympy.diffgeom) TwoQubitGate (class in sympy.physics.quantum.gate) TypeA (class in sympy.liealgebras.type_a) TypeB (class in sympy.liealgebras.type_b) TypeC (class in sympy.liealgebras.type_c) TypeD (class in sympy.liealgebras.type_d) TypeE (class in sympy.liealgebras.type_e) TypeF (class in sympy.liealgebras.type_f) TypeG (class in sympy.liealgebras.type_g)

U

U() (in module sympy.printing.pretty.pretty_symbology) udivisor_count() (in module sympy.ntheory.factor_) udivisor_sigma() (in module sympy.ntheory.factor_) udivisors() (in module sympy.ntheory.factor_) ufuncify() (in module sympy.utilities.autowrap) UfuncifyCodeWrapper (class in sympy.utilities.autowrap) UGate (class in sympy.physics.quantum.gate) uncouple() (in module sympy.physics.quantum.spin) Unequality (class in sympy.core.relational) unflatten() (in module sympy.utilities.iterables) UnificationFailed (class in sympy.polys.polyerrors) Uniform() (in module sympy.stats) UniformSum() (in module sympy.stats) unify() (sympy.polys.domains.domain.Domain method) (sympy.polys.polyclasses.ANP method) (sympy.polys.polyclasses.DMP method) (sympy.polys.polytools.Poly method) Union (class in sympy.sets.sets) union() (sympy.polys.agca.ideals.Ideal method) (sympy.polys.agca.modules.SubModule method) (sympy.series.gruntz.SubsSet method) (sympy.sets.sets.Set method) uniq() (in module sympy.utilities.iterables) Unit (class in sympy.physics.units) (class in sympy.physics.unitsystems.units) unit (sympy.polys.polytools.Poly attribute)

unit_triangular (sympy.assumptions.ask.AssumptionKeys attribute) unitary (sympy.assumptions.ask.AssumptionKeys attribute) UnitaryOperator (class in sympy.physics.quantum.operator) UnitSystem (class in sympy.physics.unitsystems.units) UnivariatePolynomialError (class in sympy.polys.polyerrors) UniversalSet (class in sympy.sets.sets) unrank() (sympy.combinatorics.graycode.GrayCode class method) (sympy.combinatorics.prufer.Prufer class method) unrank_binary() (sympy.combinatorics.subsets.Subset class method) unrank_gray() (sympy.combinatorics.subsets.Subset class method) unrank_lex() (sympy.combinatorics.permutations.Permutation class method) unrank_nonlex() (sympy.combinatorics.permutations.Permutation class method) unrank_trotterjohnson() (sympy.combinatorics.permutations.Permutation class method) untokenize() (in module sympy.parsing.sympy_tokenize) update() (sympy.physics.quantum.circuitplot.CircuitPlot method) upper (sympy.physics.secondquant.AntiSymmetricTensor attribute) (sympy.tensor.indexed.Idx attribute) upper_triangular (sympy.assumptions.ask.AssumptionKeys attribute) upper_triangular_solve() (sympy.matrices.matrices.MatrixBase method) uppergamma (class in sympy.functions.special.gamma_functions) use() (in module sympy.simplify.traversaltools)

V

v1pt_theory() (sympy.physics.vector.point.Point method) v2pt_theory() (sympy.physics.vector.point.Point method) values() (sympy.core.containers.Dict method) (sympy.matrices.matrices.MatrixBase method) (sympy.physics.unitsystems.dimensions.Dimension method) var() (in module sympy.core.symbol) VarBosonicBasis (class in sympy.physics.secondquant) variable_map() (sympy.physics.vector.frame.ReferenceFrame method) variables (sympy.core.function.Lambda attribute) (sympy.core.function.Subs attribute) (sympy.physics.quantum.operator.DifferentialOperator attribute) (sympy.physics.quantum.state.Wavefunction attribute) (sympy.series.sequences.SeqBase attribute) (sympy.utilities.codegen.Routine attribute) variance() (in module sympy.stats) variations() (in module sympy.utilities.iterables) vec() (sympy.matrices.matrices.MatrixBase method) vech() (sympy.matrices.matrices.MatrixBase method) Vector (class in sympy.physics.vector.vector) (class in sympy.vector.vector) vectorize (class in sympy.core.multidimensional) vectors_in_basis() (in module sympy.diffgeom)

vel() (sympy.physics.vector.point.Point method) verify_numerically() (in module sympy.utilities.randtest) vertices (sympy.combinatorics.polyhedron.Polyhedron attribute) (sympy.geometry.polygon.Polygon attribute) (sympy.geometry.polygon.RegularPolygon attribute) (sympy.geometry.polygon.Triangle attribute) VF() (in module sympy.printing.pretty.pretty_symbology) viete() (in module sympy.polys.polyfuncs) vlatex() (in module sympy.physics.vector.printing) vobj() (in module sympy.printing.pretty.pretty_symbology) VonMises() (in module sympy.stats) vpprint() (in module sympy.physics.vector.printing) vprint() (in module sympy.physics.vector.printing) vradius (sympy.geometry.ellipse.Circle attribute) (sympy.geometry.ellipse.Ellipse attribute) vring() (in module sympy.polys.rings) vstack() (sympy.matrices.matrices.MatrixBase class method)

W

w (sympy.physics.optics.gaussopt.BeamParameter attribute) w_0 (sympy.physics.optics.gaussopt.BeamParameter attribute) waist2rayleigh() (in module sympy.physics.optics.gaussopt) waist_approximation_limit (sympy.physics.optics.gaussopt.BeamParameter attribute) Wavefunction (class in sympy.physics.quantum.state) wavelength (sympy.physics.optics.waves.TWave attribute) wavenumber (sympy.physics.optics.waves.TWave attribute) WedgeProduct (class in sympy.diffgeom) Weibull() (in module sympy.stats) WeylGroup (class in sympy.liealgebras.weyl_group) WGate (class in sympy.physics.quantum.grover) where() (in module sympy.stats) wicks() (in module sympy.physics.secondquant) width (sympy.categories.diagram_drawing.DiagramGrid attribute)

width() (sympy.printing.pretty.stringpict.stringPict method) Wigner3j (class in sympy.physics.quantum.cg) Wigner6j (class in sympy.physics.quantum.cg) Wigner9j (class in sympy.physics.quantum.cg) wigner_3j() (in module sympy.physics.wigner) wigner_6j() (in module sympy.physics.wigner) wigner_9j() (in module sympy.physics.wigner) WignerD (class in sympy.physics.quantum.spin) WignerSemicircle() (in module sympy.stats) Wild (class in sympy.core.symbol) WildFunction (class in sympy.core.function) write() (sympy.utilities.codegen.CodeGen method) (sympy.utilities.runtests.PyTestReporter method) wronskian() (in module sympy.matrices.dense)

X

X (in module sympy.physics.quantum.gate) x (sympy.geometry.point.Point2D attribute) (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) XBra (class in sympy.physics.quantum.cartesian) xdirection (sympy.geometry.line.Ray attribute) (sympy.geometry.line3d.Ray3D attribute) XGate (class in sympy.physics.quantum.gate) XKet (class in sympy.physics.quantum.cartesian) xobj() (in module sympy.printing.pretty.pretty_symbology) XOp (class in sympy.physics.quantum.cartesian)

Xor (class in sympy.logic.boolalg) xreplace() (sympy.core.basic.Basic method) (sympy.matrices.immutable.ImmutableSparseMatrix method) (sympy.matrices.matrices.MatrixBase method) xring() (in module sympy.polys.rings) xstr() (in module sympy.printing.pretty.pretty_symbology) xsym() (in module sympy.printing.pretty.pretty_symbology) xthreaded() (in module sympy.utilities.decorator) xypic_draw_diagram() (in module sympy.categories.diagram_drawing) XypicDiagramDrawer (class in sympy.categories.diagram_drawing)

Y

Y (in module sympy.physics.quantum.gate) y (sympy.geometry.point.Point2D attribute) (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) ydirection (sympy.geometry.line.Ray attribute) (sympy.geometry.line3d.Ray3D attribute) YGate (class in sympy.physics.quantum.gate)

yn (class in sympy.functions.special.bessel) Ynm (class in sympy.functions.special.spherical_harmonics) Ynm_c() (in module sympy.functions.special.spherical_harmonics) YOp (class in sympy.physics.quantum.cartesian)

Z

Z (in module sympy.physics.quantum.gate) z (sympy.geometry.point.Point3D attribute) (sympy.physics.vector.frame.ReferenceFrame attribute) zdirection (sympy.geometry.line3d.Ray3D attribute) zero Zero (class in sympy.core.numbers) zero (sympy.assumptions.ask.AssumptionKeys attribute) (sympy.polys.polytools.Poly attribute) ZeroMatrix (class in sympy.matrices.expressions)

zeros() (in module sympy.matrices.dense) (sympy.matrices.sparse.SparseMatrix class method) zeta (class in sympy.functions.special.zeta_functions) ZGate (class in sympy.physics.quantum.gate) zip_row_op() (sympy.matrices.dense.MutableDenseMatrix method) (sympy.matrices.sparse.MutableSparseMatrix method) Znm (class in sympy.functions.special.spherical_harmonics) ZOp (class in sympy.physics.quantum.cartesian)