Index

Symbols

--auto-symbols python--m-diofant command line option --help python--m-diofant command line option --no-ipython python--m-diofant command line option --no-wrap-division python--m-diofant command line option --unicode-identifiers python--m-diofant command line option --version python--m-diofant command line option

--wrap-floats python--m-diofant command line option --wrap-ints python--m-diofant command line option -a python--m-diofant command line option -h python--m-diofant command line option -V python--m-diofant command line option

_

__add__() (diofant.polys.rings.PolyElement method) __contains__() (diofant.combinatorics.perm_groups.PermutationGroup method) __eq__() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.polys.rings.PolyElement method) __getitem__() (diofant.matrices.dense.DenseMatrix method) (diofant.polys.rings.PolyElement method) __mul__() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.matrices.dense.DenseMatrix method) (diofant.polys.rings.PolyElement method) __new__() (diofant.combinatorics.perm_groups.PermutationGroup static method) __pow__() (diofant.polys.rings.PolyElement method) __radd__() (diofant.polys.rings.PolyElement method) __rmul__() (diofant.polys.rings.PolyElement method) __rsub__() (diofant.polys.rings.PolyElement method) __setitem__() (diofant.polys.rings.PolyElement method) __sub__() (diofant.polys.rings.PolyElement method) __weakref__ (diofant.polys.rings.PolyElement attribute) _af_parity() (in module diofant.combinatorics.permutations) _alpha_to_z() (in module diofant.polys.factorization_alg_field) _base_ordering() (in module diofant.combinatorics.util) _check_cycles_alt_sym() (in module diofant.combinatorics.util) _chinese_remainder_reconstruction() (in module diofant.polys.modulargcd) _cmp_perm_lists() (in module diofant.combinatorics.testutil) _denominator() (in module diofant.polys.factorization_alg_field) _diophantine() (in module diofant.polys.factorization_alg_field) _diophantine_univariate() (in module diofant.polys.factorization_alg_field) _distinct_prime_divisors() (in module diofant.polys.factorization_alg_field) _distribute_gens_by_base() (in module diofant.combinatorics.util) _div() (in module diofant.polys.modulargcd) _euclidean_algorithm() (in module diofant.polys.modulargcd) _evaluate_ground() (in module diofant.polys.modulargcd) _extended_euclidean_algorithm() (in module diofant.polys.factorization_alg_field) _factor() (in module diofant.polys.factorization_alg_field) _func_field_modgcd_m() (in module diofant.polys.modulargcd) _func_field_modgcd_p() (in module diofant.polys.modulargcd) _gf_gcdex() (in module diofant.polys.modulargcd) _handle_Integral() (in module diofant.solvers.ode) _handle_precomputed_bsgs() (in module diofant.combinatorics.util) _hensel_lift() (in module diofant.polys.factorization_alg_field) _interpolate() (in module diofant.polys.modulargcd) _leading_coeffs() (in module diofant.polys.factorization_alg_field) _linear_2eq_order1_type3() (in module diofant.solvers.ode) _linear_2eq_order1_type4() (in module diofant.solvers.ode) _linear_2eq_order1_type5() (in module diofant.solvers.ode) _linear_2eq_order1_type6() (in module diofant.solvers.ode) _linear_2eq_order1_type7() (in module diofant.solvers.ode)

_linear_2eq_order2_type1() (in module diofant.solvers.ode) _linear_2eq_order2_type11() (in module diofant.solvers.ode) _linear_2eq_order2_type2() (in module diofant.solvers.ode) _linear_2eq_order2_type3() (in module diofant.solvers.ode) _linear_2eq_order2_type5() (in module diofant.solvers.ode) _linear_2eq_order2_type6() (in module diofant.solvers.ode) _linear_2eq_order2_type7() (in module diofant.solvers.ode) _linear_2eq_order2_type8() (in module diofant.solvers.ode) _linear_2eq_order2_type9() (in module diofant.solvers.ode) _linear_3eq_order1_type4() (in module diofant.solvers.ode) _minpoly_from_dense() (in module diofant.polys.modulargcd) _modgcd_p() (in module diofant.polys.modulargcd) _monic_associate() (in module diofant.polys.factorization_alg_field) _naive_list_centralizer() (in module diofant.combinatorics.testutil) _nonlinear_2eq_order1_type1() (in module diofant.solvers.ode) _nonlinear_2eq_order1_type2() (in module diofant.solvers.ode) _nonlinear_2eq_order1_type3() (in module diofant.solvers.ode) _nonlinear_2eq_order1_type4() (in module diofant.solvers.ode) _nonlinear_2eq_order1_type5() (in module diofant.solvers.ode) _nonlinear_3eq_order1_type1() (in module diofant.solvers.ode) _nonlinear_3eq_order1_type2() (in module diofant.solvers.ode) _orbits_transversals_from_bsgs() (in module diofant.combinatorics.util) _padic_lift() (in module diofant.polys.factorization_alg_field) _primitive_in_x0() (in module diofant.polys.modulargcd) _print() (diofant.printing.printer.Printer method) _rational_function_reconstruction() (in module diofant.polys.modulargcd) _rational_reconstruction_func_coeffs() (in module diofant.polys.modulargcd) _rational_reconstruction_int_coeffs() (in module diofant.polys.modulargcd) _remove_gens() (in module diofant.combinatorics.util) _sqf_p() (in module diofant.polys.factorization_alg_field) _strip() (in module diofant.combinatorics.util) _strong_gens_from_distr() (in module diofant.combinatorics.util) _subs_ground() (in module diofant.polys.factorization_alg_field) _test_evaluation_points() (in module diofant.polys.factorization_alg_field) _test_prime() (in module diofant.polys.factorization_alg_field) _to_ANP_poly() (in module diofant.polys.modulargcd) _to_ZZ_poly() (in module diofant.polys.modulargcd) _trunc() (in module diofant.polys.modulargcd) _undetermined_coefficients_match() (in module diofant.solvers.ode) _union_find_merge() (diofant.combinatorics.perm_groups.PermutationGroup method) _union_find_rep() (diofant.combinatorics.perm_groups.PermutationGroup method) _verify_bsgs() (in module diofant.combinatorics.testutil) _verify_centralizer() (in module diofant.combinatorics.testutil) _verify_normal_closure() (in module diofant.combinatorics.testutil) _z_to_alpha() (in module diofant.polys.factorization_alg_field) _zz_heu_gcd() (diofant.polys.euclidtools._GCD method)

A

a (diofant.polys.rootisolation.RealInterval property) a2idx() (in module diofant.matrices.matrices) AbelianGroup() (in module diofant.combinatorics.named_groups) above() (diofant.printing.stringpict.stringPict method) Abs (class in diofant.functions.elementary.complexes) accepted_latex_functions (in module diofant.printing.latex) acos (class in diofant.functions.elementary.trigonometric) acosh (class in diofant.functions.elementary.hyperbolic) acot (class in diofant.functions.elementary.trigonometric) acoth (class in diofant.functions.elementary.hyperbolic) acsc (class in diofant.functions.elementary.trigonometric) Add (class in diofant.core.add) add() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) add_formulae() (in module diofant.simplify.hyperexpand) adjoint (class in diofant.functions.elementary.complexes) adjoint() (diofant.core.expr.Expr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.matrices.MatrixBase method) adjugate() (diofant.matrices.matrices.MatrixBase method) airyai (class in diofant.functions.special.bessel) airyaiprime (class in diofant.functions.special.bessel) AiryBase (class in diofant.functions.special.bessel) airybi (class in diofant.functions.special.bessel) airybiprime (class in diofant.functions.special.bessel) algebraic_field() (diofant.domains.AlgebraicField method) (diofant.domains.RationalField method) AlgebraicField (class in diofant.domains) all_coeffs() (diofant.polys.polytools.Poly method) all_roots() (diofant.polys.polytools.Poly method) (diofant.polys.rootoftools.RootOf class method) allhints (in module diofant.solvers.ode) almosteq() (diofant.domains.ComplexField method) (diofant.domains.RealField method) alternating() (diofant.combinatorics.generators method) AlternatingGroup() (in module diofant.combinatorics.named_groups) an (diofant.functions.special.hyper.meijerg property) And (class in diofant.logic.boolalg) annotated() (in module diofant.printing.pretty_symbology) antidivisor_count() (in module diofant.ntheory.factor_) antidivisors() (in module diofant.ntheory.factor_) aother (diofant.functions.special.hyper.meijerg property) ap (diofant.functions.special.hyper.hyper property) (diofant.functions.special.hyper.meijerg property) apart() (diofant.core.expr.Expr method) (in module diofant.polys.partfrac) apart_list() (in module diofant.polys.partfrac) apply() (diofant.simplify.epathtools.EPath method) applyfunc() (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.sparse.SparseMatrixBase method) approximation_interval() (diofant.core.numbers.NumberSymbol method) arg (class in diofant.functions.elementary.complexes) args (diofant.core.basic.Basic property) (diofant.core.containers.Dict property) (diofant.polys.polytools.Poly property) (diofant.tensor.indexed.IndexedBase property) args_cnc() (diofant.core.expr.Expr method) Argument (class in diofant.utilities.codegen) argument (diofant.functions.special.bessel.BesselBase property) (diofant.functions.special.hyper.hyper property) (diofant.functions.special.hyper.meijerg property) Array (class in diofant.tensor.array) array_form (diofant.combinatorics.permutations.Permutation property) (diofant.combinatorics.polyhedron.Polyhedron property) as_base_exp() (diofant.core.expr.Expr method) (diofant.core.mul.Mul method) (diofant.core.power.Pow method) as_coeff_Add() (diofant.core.add.Add method) as_coeff_add() (diofant.core.add.Add method) as_coeff_Add() (diofant.core.expr.Expr method) as_coeff_add() (diofant.core.expr.Expr method) as_coeff_Add() (diofant.core.numbers.Number method) as_coeff_add() (diofant.core.numbers.Number method) as_coeff_exponent() (diofant.core.expr.Expr method) as_coeff_Mul() (diofant.core.expr.Expr method) as_coeff_mul() (diofant.core.expr.Expr method) as_coeff_Mul() (diofant.core.mul.Mul method)

as_coeff_mul() (diofant.core.mul.Mul method) as_coeff_Mul() (diofant.core.numbers.Number method) as_coeff_mul() (diofant.core.numbers.Number method) as_coefficient() (diofant.core.expr.Expr method) as_coefficients_dict() (diofant.core.add.Add method) (diofant.core.expr.Expr method) as_content_primitive() (diofant.core.add.Add method) (diofant.core.expr.Expr method) (diofant.core.mul.Mul method) (diofant.core.numbers.Rational method) (diofant.core.power.Pow method) as_dict() (diofant.combinatorics.partitions.IntegerPartition method) (diofant.polys.polytools.Poly method) as_dummy() (diofant.concrete.expr_with_limits.ExprWithLimits method) as_explicit() (diofant.matrices.expressions.MatrixExpr method) as_expr() (diofant.core.expr.Expr method) (diofant.polys.monomials.Monomial method) (diofant.polys.polytools.Poly method) as_ferrers() (diofant.combinatorics.partitions.IntegerPartition method) as_immutable() (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.sparse.SparseMatrixBase method) as_independent() (diofant.core.expr.Expr method) as_int() (in module diofant.utilities.misc) as_leading_term() (diofant.core.expr.Expr method) as_mutable() (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.expressions.MatrixExpr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.sparse.SparseMatrixBase method) as_numer_denom() (diofant.core.expr.Expr method) as_ordered_factors() (diofant.core.expr.Expr method) (diofant.core.mul.Mul method) as_ordered_terms() (diofant.core.expr.Expr method) as_poly() (diofant.core.expr.Expr method) as_powers_dict() (diofant.core.expr.Expr method) (diofant.core.mul.Mul method) as_property() (in module diofant.core.assumptions) as_real_imag() (diofant.core.add.Add method) (diofant.core.expr.Expr method) (diofant.core.mul.Mul method) (diofant.core.power.log method) (diofant.core.power.Pow method) (diofant.functions.elementary.complexes.im method) (diofant.functions.elementary.complexes.re method) (diofant.functions.elementary.hyperbolic.sinh method) as_relational() (diofant.sets.sets.FiniteSet method) (diofant.sets.sets.Intersection method) (diofant.sets.sets.Interval method) (diofant.sets.sets.Union method) as_set() (diofant.core.relational.Relational method) as_sum() (diofant.integrals.integrals.Integral method) as_terms() (diofant.core.expr.Expr method) as_tuple() (diofant.polys.rootisolation.ComplexInterval method) (diofant.polys.rootisolation.RealInterval method) as_two_terms() (diofant.core.add.Add method) (diofant.core.mul.Mul method) ascents() (diofant.combinatorics.permutations.Permutation method) asec (class in diofant.functions.elementary.trigonometric) aseries() (diofant.core.expr.Expr method) asin (class in diofant.functions.elementary.trigonometric) asinh (class in diofant.functions.elementary.hyperbolic) assemble_partfrac_list() (in module diofant.polys.partfrac) AssignmentError assoc_laguerre (class in diofant.functions.special.polynomials) assoc_legendre (class in diofant.functions.special.polynomials) atan (class in diofant.functions.elementary.trigonometric) atan2 (class in diofant.functions.elementary.trigonometric) atanh (class in diofant.functions.elementary.hyperbolic) Atom (class in diofant.core.basic) AtomicExpr (class in diofant.core.expr) atoms() (diofant.combinatorics.permutations.Permutation method) (diofant.core.basic.Basic method) (diofant.matrices.matrices.MatrixBase method) auto_number() (in module diofant.parsing.sympy_parser) auto_symbol() (in module diofant.parsing.sympy_parser) AutomaticSymbols (class in diofant.interactive.session) autowrap() (in module diofant.utilities.autowrap) ax (diofant.polys.rootisolation.ComplexInterval property) ay (diofant.polys.rootisolation.ComplexInterval property)

B

b (diofant.polys.rootisolation.RealInterval property) base (diofant.combinatorics.perm_groups.PermutationGroup property) (diofant.core.power.Pow property) (diofant.tensor.indexed.Indexed property) base_solution_linear() (in module diofant.solvers.diophantine) BasePolynomialError baseswap() (diofant.combinatorics.perm_groups.PermutationGroup method) Basic (class in diofant.core.basic) basic_orbits (diofant.combinatorics.perm_groups.PermutationGroup property) basic_stabilizers (diofant.combinatorics.perm_groups.PermutationGroup property) basic_transversals (diofant.combinatorics.perm_groups.PermutationGroup property) bell (class in diofant.functions.combinatorial.numbers) below() (diofant.printing.stringpict.stringPict method) berkowitz() (diofant.matrices.matrices.MatrixBase method) berkowitz_charpoly() (diofant.matrices.matrices.MatrixBase method) berkowitz_det() (diofant.matrices.matrices.MatrixBase method) berkowitz_eigenvals() (diofant.matrices.matrices.MatrixBase method) berkowitz_minors() (diofant.matrices.matrices.MatrixBase method) bernoulli (class in diofant.functions.combinatorial.numbers) BesselBase (class in diofant.functions.special.bessel) besseli (class in diofant.functions.special.bessel) besselj (class in diofant.functions.special.bessel) besselk (class in diofant.functions.special.bessel) besselsimp() (in module diofant.simplify.simplify)

bessely (class in diofant.functions.special.bessel) beta (class in diofant.functions.special.beta_functions) bin_to_gray() (diofant.combinatorics.graycode method) binary_function() (in module diofant.utilities.autowrap) binomial (class in diofant.functions.combinatorial.factorials) binomial_coefficients() (in module diofant.ntheory.multinomial) binomial_coefficients_list() (in module diofant.ntheory.multinomial) bitlist_from_subset() (diofant.combinatorics.subsets.Subset class method) block_collapse() (in module diofant.matrices.expressions.blockmatrix) BlockDiagMatrix (class in diofant.matrices.expressions.blockmatrix) BlockMatrix (class in diofant.matrices.expressions.blockmatrix) bm (diofant.functions.special.hyper.meijerg property) BooleanFalse (class in diofant.logic.boolalg) BooleanTrue (class in diofant.logic.boolalg) bother (diofant.functions.special.hyper.meijerg property) boundary (diofant.sets.sets.Set property) bq (diofant.functions.special.hyper.hyper property) (diofant.functions.special.hyper.meijerg property) bsgs_direct_product() (in module diofant.combinatorics.tensor_can) bspline_basis() (in module diofant.functions.special.bsplines) bspline_basis_set() (in module diofant.functions.special.bsplines) buchberger() (in module diofant.polys.groebnertools) bx (diofant.polys.rootisolation.ComplexInterval property) by (diofant.polys.rootisolation.ComplexInterval property)

C

C (diofant.matrices.immutable.ImmutableMatrix property) (diofant.matrices.matrices.MatrixBase property) cacheit() (in module diofant.core.cache) cancel() (diofant.core.expr.Expr method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) canonical (diofant.core.relational.Relational property) canonical_variables (diofant.core.expr.Expr property) canonicalize() (in module diofant.combinatorics.tensor_can) cantor_product() (in module diofant.utilities.iterables) cardinality (diofant.combinatorics.permutations.Permutation property) (diofant.combinatorics.subsets.Subset property) casoratian() (in module diofant.matrices.dense) Catalan (class in diofant.core.numbers) catalan (class in diofant.functions.combinatorial.numbers) ccode() (in module diofant.printing.ccode) CCodeGen (class in diofant.utilities.codegen) CCodePrinter (class in diofant.printing.ccode) ceiling (class in diofant.functions.elementary.integers) ceiling() (diofant.core.numbers.Float method) center (diofant.polys.rootisolation.ComplexInterval property) (diofant.polys.rootisolation.RealInterval property) center() (diofant.combinatorics.perm_groups.PermutationGroup method) centralizer() (diofant.combinatorics.perm_groups.PermutationGroup method) change_index() (diofant.concrete.expr_with_intlimits.ExprWithIntLimits method) characteristic (diofant.domains.ring.CommutativeRing property) CharacteristicZero (class in diofant.domains.characteristiczero) charpoly() (diofant.matrices.matrices.MatrixBase method) chebyshevt (class in diofant.functions.special.polynomials) chebyshevt_poly() (in module diofant.polys.orthopolys) chebyshevt_root (class in diofant.functions.special.polynomials) chebyshevu (class in diofant.functions.special.polynomials) chebyshevu_poly() (in module diofant.polys.orthopolys) chebyshevu_root (class in diofant.functions.special.polynomials) check_assumptions() (in module diofant.core.assumptions) checkinfsol() (in module diofant.solvers.ode) checkodesol() (in module diofant.solvers.ode) checkpdesol() (in module diofant.solvers.pde) checksol() (in module diofant.solvers.utils) Chi (class in diofant.functions.special.error_functions) cholesky() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) cholesky_solve() (diofant.matrices.matrices.MatrixBase method) Ci (class in diofant.functions.special.error_functions) CL (diofant.matrices.sparse.SparseMatrixBase property) class_key() (diofant.core.add.Add class method) (diofant.core.basic.Atom class method) (diofant.core.basic.Basic class method) (diofant.core.function.Function class method) (diofant.core.mul.Mul class method) (diofant.core.numbers.Number class method) (diofant.core.power.Pow class method) (diofant.core.symbol.Dummy class method) classify_diop() (in module diofant.solvers.diophantine) classify_ode() (in module diofant.solvers.ode) classify_pde() (in module diofant.solvers.pde) classof() (in module diofant.matrices.matrices) clear_denoms() (diofant.polys.polytools.Poly method) closure (diofant.sets.sets.Set property) CodeGen (class in diofant.utilities.codegen) codegen() (in module diofant.utilities.codegen) CodePrinter (class in diofant.printing.codeprinter) CodeWrapError CodeWrapper (class in diofant.utilities.autowrap) coeff() (diofant.core.expr.Expr method) coeff_monomial() (diofant.polys.polytools.Poly method) coeffs() (diofant.polys.polytools.Poly method) CoercionFailedError cofactor() (diofant.matrices.matrices.MatrixBase method) cofactorMatrix() (diofant.matrices.matrices.MatrixBase method) cofactors() (diofant.core.numbers.Number method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) col_insert() (diofant.matrices.matrices.MatrixBase method) col_join() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.MutableSparseMatrix method) col_list() (diofant.matrices.sparse.SparseMatrixBase method) col_op() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) col_swap() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) collect() (diofant.core.expr.Expr method) (in module diofant.simplify.radsimp) collect_const() (in module diofant.simplify.radsimp) collect_sqrt() (in module diofant.simplify.radsimp) combsimp() (diofant.core.expr.Expr method) (in module diofant.simplify.combsimp) common_prefix() (in module diofant.utilities.iterables)

common_suffix() (in module diofant.utilities.iterables) CommutativeRing (class in diofant.domains.ring) commutator() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.combinatorics.permutations.Permutation method) commutes_with() (diofant.combinatorics.permutations.Permutation method) Complement (class in diofant.sets.sets) complement() (diofant.sets.sets.Set method) ComplexAlgebraicField (class in diofant.domains) ComplexField (class in diofant.domains) ComplexInfinity (class in diofant.core.numbers) ComplexInterval (class in diofant.polys.rootisolation) components() (in module diofant.integrals.heurisch) compose() (diofant.polys.fields.FracElement method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) CompositeDomain (class in diofant.domains.compositedomain) ComputationFailedError compute_leading_term() (diofant.core.expr.Expr method) cond (diofant.functions.elementary.piecewise.ExprCondPair property) condition_number() (diofant.matrices.matrices.MatrixBase method) conjugate (class in diofant.functions.elementary.complexes) (diofant.combinatorics.partitions.IntegerPartition property) conjugate() (diofant.core.expr.Expr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.matrices.MatrixBase method) (diofant.polys.rootisolation.ComplexInterval method) conserve_mpmath_dps() (in module diofant.utilities.decorator) constant_renumber() (in module diofant.solvers.ode) constantsimp() (in module diofant.solvers.ode) construct_domain() (in module diofant.polys.constructor) contains() (diofant.calculus.order.Order method) (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.polys.polytools.GroebnerBasis method) (diofant.sets.sets.Set method) content() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) continued_fraction_convergents() (in module diofant.ntheory.continued_fraction) continued_fraction_iterator() (in module diofant.ntheory.continued_fraction) continued_fraction_periodic() (in module diofant.ntheory.continued_fraction) continued_fraction_reduce() (in module diofant.ntheory.continued_fraction) convergence_statement (diofant.functions.special.hyper.hyper property) convert() (diofant.domains.domain.Domain method) convert_from() (diofant.domains.domain.Domain method) convert_xor() (in module diofant.parsing.sympy_parser) copy() (diofant.core.basic.Basic method) (diofant.matrices.matrices.MatrixBase method) (diofant.polys.rings.PolyElement method) copyin_list() (diofant.matrices.dense.MutableDenseMatrix method) copyin_matrix() (diofant.matrices.dense.MutableDenseMatrix method) core() (in module diofant.ntheory.factor_) cornacchia() (in module diofant.solvers.diophantine) corners (diofant.combinatorics.polyhedron.Polyhedron property) cos (class in diofant.functions.elementary.trigonometric) coset_factor() (diofant.combinatorics.perm_groups.PermutationGroup method) coset_rank() (diofant.combinatorics.perm_groups.PermutationGroup method) coset_unrank() (diofant.combinatorics.perm_groups.PermutationGroup method) cosh (class in diofant.functions.elementary.hyperbolic) cosine_transform() (in module diofant.integrals.transforms) CosineTransform (class in diofant.integrals.transforms) cot (class in diofant.functions.elementary.trigonometric) coth (class in diofant.functions.elementary.hyperbolic) could_extract_minus_sign() (diofant.core.expr.Expr method) count() (diofant.core.basic.Basic method) count_ops() (diofant.core.basic.Basic method) (diofant.core.expr.Expr method) (in module diofant.core.function) count_partitions() (diofant.utilities.enumerative.MultisetPartitionTraverser method) count_roots() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) cp_key() (in module diofant.polys.groebnertools) critical_pair() (in module diofant.polys.groebnertools) cross() (diofant.matrices.matrices.MatrixBase method) crt() (in module diofant.ntheory.modular) crt1() (in module diofant.ntheory.modular) crt2() (in module diofant.ntheory.modular) csc (class in diofant.functions.elementary.trigonometric) csch (class in diofant.functions.elementary.hyperbolic) cse() (in module diofant.simplify.cse_main) current (diofant.combinatorics.graycode.GrayCode property) Cycle (class in diofant.combinatorics.permutations) cycle_length() (in module diofant.ntheory.generate) cycle_structure (diofant.combinatorics.permutations.Permutation property) cycles (diofant.combinatorics.permutations.Permutation property) cyclic() (diofant.combinatorics.generators method) cyclic_form (diofant.combinatorics.permutations.Permutation property) (diofant.combinatorics.polyhedron.Polyhedron property) CyclicGroup() (in module diofant.combinatorics.named_groups) cyclotomic_poly() (in module diofant.polys.specialpolys) CythonCodeWrapper (class in diofant.utilities.autowrap)

D

D (diofant.matrices.matrices.MatrixBase property) DataType (class in diofant.utilities.codegen) decompose() (diofant.polys.polytools.Poly method) (diofant.polys.univar.UnivarPolyElement method) (in module diofant.polys.polytools) default_sort_key() (in module diofant.utilities.iterables) degree (diofant.combinatorics.perm_groups.PermutationGroup property) degree() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) delta (diofant.functions.special.hyper.meijerg property) deltaintegrate() (in module diofant.integrals.deltafunctions) DenseMatrix (class in diofant.matrices.dense) Derivative (class in diofant.core.function) derive_by_array() (in module diofant.tensor.array) derived_series() (diofant.combinatorics.perm_groups.PermutationGroup method) derived_subgroup() (diofant.combinatorics.perm_groups.PermutationGroup method) descent() (in module diofant.solvers.diophantine) descents() (diofant.combinatorics.permutations.Permutation method) det() (diofant.matrices.matrices.MatrixBase method) det_bareiss() (diofant.matrices.matrices.MatrixBase method) det_LU_decomposition() (diofant.matrices.matrices.MatrixBase method) diag() (in module diofant.matrices.dense) diagonal_solve() (diofant.matrices.matrices.MatrixBase method) diagonalize() (diofant.matrices.matrices.MatrixBase method) Dict (class in diofant.core.containers) diff() (diofant.core.expr.Expr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.matrices.MatrixBase method) (diofant.polys.fields.FracElement method) (diofant.polys.rings.PolyElement method) (in module diofant.core.function) digamma() (in module diofant.functions.special.gamma_functions) dihedral() (diofant.combinatorics.generators method) DihedralGroup() (in module diofant.combinatorics.named_groups) dimension (diofant.polys.polytools.GroebnerBasis property) diofant module diofant.calculus module diofant.calculus.gruntz module diofant.calculus.limits module diofant.calculus.optimization module diofant.calculus.order module diofant.calculus.residues module diofant.calculus.singularities module diofant.combinatorics.generators module diofant.combinatorics.graycode module diofant.combinatorics.group_constructs module diofant.combinatorics.named_groups module diofant.combinatorics.partitions module diofant.combinatorics.perm_groups module diofant.combinatorics.permutations module diofant.combinatorics.polyhedron module diofant.combinatorics.prufer module diofant.combinatorics.subsets module diofant.combinatorics.tensor_can module diofant.combinatorics.testutil module diofant.combinatorics.util module diofant.config module diofant.core module diofant.core.add module diofant.core.assumptions module diofant.core.basic module diofant.core.cache module diofant.core.containers module diofant.core.core module diofant.core.evalf module diofant.core.evaluate module diofant.core.expr module diofant.core.exprtools module diofant.core.function module diofant.core.mod module diofant.core.mul module diofant.core.multidimensional module diofant.core.numbers module diofant.core.power module diofant.core.relational module diofant.core.singleton module diofant.core.symbol module diofant.core.sympify module diofant.domains module diofant.functions module diofant.functions.special.bessel module diofant.functions.special.beta_functions module diofant.functions.special.elliptic_integrals module diofant.functions.special.error_functions module diofant.functions.special.gamma_functions module diofant.functions.special.polynomials module diofant.functions.special.zeta_functions module diofant.integrals module diofant.integrals.meijerint_doc module diofant.integrals.quadrature module diofant.integrals.transforms module diofant.interactive module diofant.interactive.printing module diofant.interactive.session module diofant.logic module diofant.matrices module diofant.matrices.dense module diofant.matrices.expressions module diofant.matrices.expressions.blockmatrix module diofant.matrices.immutable module diofant.matrices.matrices module diofant.matrices.sparse module diofant.ntheory.continued_fraction module diofant.ntheory.egyptian_fraction module diofant.ntheory.factor_ module diofant.ntheory.generate module diofant.ntheory.modular module diofant.ntheory.multinomial module diofant.ntheory.partitions_ module diofant.ntheory.primetest module diofant.ntheory.residue_ntheory module diofant.parsing module diofant.polys module diofant.polys.constructor module diofant.polys.euclidtools module diofant.polys.factorization_alg_field module diofant.polys.factortools module diofant.polys.groebnertools module diofant.polys.modulargcd module

diofant.polys.monomials module diofant.polys.numberfields module diofant.polys.orderings module diofant.polys.orthopolys module diofant.polys.partfrac module diofant.polys.polyerrors module diofant.polys.polyfuncs module diofant.polys.polyoptions module diofant.polys.polyroots module diofant.polys.polytools module diofant.polys.rationaltools module diofant.polys.rootisolation module diofant.polys.rootoftools module diofant.polys.specialpolys module diofant.polys.sqfreetools module diofant.printing module diofant.printing.ccode module diofant.printing.codeprinter module diofant.printing.conventions module diofant.printing.fcode module diofant.printing.lambdarepr module diofant.printing.latex module diofant.printing.mathematica module diofant.printing.mathml module diofant.printing.precedence module diofant.printing.pretty module diofant.printing.pretty_symbology module diofant.printing.printer module diofant.printing.python module diofant.printing.repr module diofant.printing.str module diofant.printing.stringpict module diofant.sets.fancysets module diofant.sets.sets module diofant.simplify.combsimp module diofant.simplify.cse_main module diofant.simplify.epathtools module diofant.simplify.fu module diofant.simplify.hyperexpand module diofant.simplify.hyperexpand_doc module diofant.simplify.powsimp module diofant.simplify.radsimp module diofant.simplify.ratsimp module diofant.simplify.sqrtdenest module diofant.simplify.traversaltools module diofant.simplify.trigsimp module diofant.solvers module diofant.solvers.deutils module diofant.solvers.diophantine module diofant.solvers.inequalities module diofant.solvers.ode module diofant.solvers.pde module diofant.solvers.polysys module diofant.solvers.recurr module diofant.solvers.solvers module diofant.solvers.utils module diofant.tensor module diofant.tensor.array module diofant.tensor.index_methods module diofant.tensor.indexed module diofant.utilities module diofant.utilities.autowrap module diofant.utilities.codegen module diofant.utilities.decorator module diofant.utilities.enumerative module diofant.utilities.iterables module diofant.utilities.lambdify module diofant.utilities.memoization module diofant.utilities.misc module diofant.utilities.randtest module diop_bf_DN() (in module diofant.solvers.diophantine) diop_DN() (in module diofant.solvers.diophantine) diop_general_pythagorean() (in module diofant.solvers.diophantine) diop_general_sum_of_even_powers() (in module diofant.solvers.diophantine) diop_general_sum_of_squares() (in module diofant.solvers.diophantine) diop_linear() (in module diofant.solvers.diophantine) diop_quadratic() (in module diofant.solvers.diophantine) diop_solve() (in module diofant.solvers.diophantine) diop_ternary_quadratic() (in module diofant.solvers.diophantine) diop_ternary_quadratic_normal() (in module diofant.solvers.diophantine) diophantine() (in module diofant.solvers.diophantine) DiracDelta (class in diofant.functions.special.delta_functions) DirectProduct() (in module diofant.combinatorics.group_constructs) dirichlet_eta (class in diofant.functions.special.zeta_functions) discrete_log() (in module diofant.ntheory.residue_ntheory) discriminant() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) dispersionset() (diofant.polys.polytools.Poly method) (diofant.polys.univar.UnivarPolynomialRing method) div() (diofant.domains.field.Field method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) divides() (diofant.polys.monomials.Monomial method) divisible() (in module diofant.solvers.diophantine) divisor_count() (in module diofant.ntheory.factor_) divisor_sigma (class in diofant.ntheory.factor_) divisors() (in module diofant.ntheory.factor_) doctest_depends_on() (in module diofant.utilities.decorator) doit() (diofant.calculus.limits.Limit method) (diofant.core.basic.Atom method) (diofant.core.basic.Basic method) (diofant.core.function.Derivative method) (diofant.core.function.Subs method) (diofant.functions.elementary.piecewise.Piecewise method) (diofant.integrals.integrals.Integral method) (diofant.integrals.transforms.IntegralTransform method) doit_numerically() (diofant.core.function.Derivative method) Domain (class in diofant.domains.domain) domain (diofant.polys.polytools.Poly property) DomainError doprint() (diofant.printing.mathematica.MCodePrinter method) (diofant.printing.mathml.MathMLPrinter method) (diofant.printing.printer.Printer method) dot() (diofant.matrices.matrices.MatrixBase method) dotprint() (in module diofant.printing.dot) double_coset_can_rep() (in module diofant.combinatorics.tensor_can) drop() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolynomialRing method) dsolve() (in module diofant.solvers.ode) dtype (diofant.domains.ExpressionDomain attribute) dual() (diofant.matrices.matrices.MatrixBase method) Dummy (class in diofant.core.symbol) DummyWrapper (class in diofant.utilities.autowrap) dump_c() (diofant.utilities.autowrap.UfuncifyCodeWrapper method) (diofant.utilities.codegen.CCodeGen method) dump_code() (diofant.utilities.codegen.CodeGen method) dump_f95() (diofant.utilities.codegen.FCodeGen method) dump_h() (diofant.utilities.codegen.CCodeGen method) (diofant.utilities.codegen.FCodeGen method) dump_m() (diofant.utilities.codegen.OctaveCodeGen method) dump_pyx() (diofant.utilities.autowrap.CythonCodeWrapper method)

E

E1() (in module diofant.functions.special.error_functions) EC() (diofant.polys.polytools.Poly method) edges (diofant.combinatorics.polyhedron.Polyhedron property) edges() (diofant.combinatorics.prufer.Prufer static method) efactor() (in module diofant.polys.factorization_alg_field) egyptian_fraction() (in module diofant.ntheory.egyptian_fraction) Ei (class in diofant.functions.special.error_functions) eigenvals() (diofant.matrices.matrices.MatrixBase method) eigenvects() (diofant.matrices.matrices.MatrixBase method) Eijk() (in module diofant.functions.special.tensor_functions) eject() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolynomialRing method) elements (diofant.combinatorics.perm_groups.PermutationGroup property) eliminate() (in module diofant.polys.polytools) elliptic_e (class in diofant.functions.special.elliptic_integrals) elliptic_f (class in diofant.functions.special.elliptic_integrals) elliptic_k (class in diofant.functions.special.elliptic_integrals) elliptic_pi (class in diofant.functions.special.elliptic_integrals) EM() (diofant.polys.polytools.Poly method) emptyPrinter() (diofant.printing.repr.ReprPrinter method) EmptySet (class in diofant.sets.sets) end (diofant.sets.sets.Interval property) enum_all() (diofant.utilities.enumerative.MultisetPartitionTraverser method) enum_large() (diofant.utilities.enumerative.MultisetPartitionTraverser method) enum_range() (diofant.utilities.enumerative.MultisetPartitionTraverser method) enum_small() (diofant.utilities.enumerative.MultisetPartitionTraverser method) EPath (class in diofant.simplify.epathtools) epath() (in module diofant.simplify.epathtools) epsilon_eq() (diofant.core.numbers.Float method) Eq (in module diofant.core.relational) Equality (class in diofant.core.relational) equals() (diofant.core.expr.Expr method) (diofant.core.relational.Relational method) (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.expressions.MatrixExpr method) (diofant.matrices.immutable.ImmutableMatrix method) Equivalent (class in diofant.logic.boolalg) equivalent() (in module diofant.solvers.diophantine) erf (class in diofant.functions.special.error_functions) erf2 (class in diofant.functions.special.error_functions) erf2inv (class in diofant.functions.special.error_functions) erfc (class in diofant.functions.special.error_functions) erfcinv (class in diofant.functions.special.error_functions) erfi (class in diofant.functions.special.error_functions) erfinv (class in diofant.functions.special.error_functions) ET() (diofant.polys.polytools.Poly method) eta (diofant.functions.special.hyper.hyper property) euler (class in diofant.functions.combinatorial.numbers) euler_maclaurin() (diofant.concrete.summations.Sum method) EulerGamma (class in diofant.core.numbers) eval() (diofant.functions.special.tensor_functions.KroneckerDelta class method) (diofant.polys.polytools.Poly method) eval_expr() (in module diofant.parsing.sympy_parser) eval_levicivita() (in module diofant.functions.special.tensor_functions)

eval_rational() (diofant.polys.rootoftools.RootOf method) evalf() (diofant.core.evalf.EvalfMixin method) (diofant.core.function.Subs method) (diofant.matrices.matrices.MatrixBase method) EvalfMixin (class in diofant.core.evalf) evaluate() (in module diofant.core.evaluate) EvaluationFailedError ExactQuotientFailedError exclude() (diofant.polys.polytools.Poly method) exp (diofant.core.power.Pow property) (diofant.functions.elementary.exponential.exp_polar property) exp() (diofant.matrices.matrices.MatrixBase method) (in module diofant.core.power) Exp1 (class in diofant.core.numbers) exp_polar (class in diofant.functions.elementary.exponential) expand() (diofant.core.expr.Expr method) (diofant.matrices.matrices.MatrixBase method) (in module diofant.core.function) expand_complex() (in module diofant.core.function) expand_func() (in module diofant.core.function) expand_log() (in module diofant.core.function) expand_mul() (in module diofant.core.function) expand_multinomial() (in module diofant.core.function) expand_power_base() (in module diofant.core.function) expand_power_exp() (in module diofant.core.function) expand_trig() (in module diofant.core.function) expint (class in diofant.functions.special.error_functions) Expr (class in diofant.core.expr) expr (diofant.core.function.Derivative property) (diofant.core.function.Lambda property) (diofant.core.function.Subs property) (diofant.functions.elementary.piecewise.ExprCondPair property) ExprCondPair (class in diofant.functions.elementary.piecewise) ExpressionDomain (class in diofant.domains) ExpressionDomain.Expression (class in diofant.domains) ExprWithIntLimits (class in diofant.concrete.expr_with_intlimits) ExprWithLimits (class in diofant.concrete.expr_with_limits) exquo() (diofant.domains.field.Field method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) exquo_ground() (diofant.polys.polytools.Poly method) extend() (diofant.ntheory.generate.Sieve method) extend_to_no() (diofant.ntheory.generate.Sieve method) ExtendedReals (class in diofant.sets.fancysets) extract() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) extract_additively() (diofant.core.expr.Expr method) extract_branch_factor() (diofant.core.expr.Expr method) extract_multiplicatively() (diofant.core.expr.Expr method) ExtraneousFactorsError eye() (diofant.matrices.dense.DenseMatrix class method) (diofant.matrices.sparse.SparseMatrixBase class method) (in module diofant.matrices.dense)

F

F2PyCodeWrapper (class in diofant.utilities.autowrap) f5_reduce() (in module diofant.polys.groebnertools) f5b() (in module diofant.polys.groebnertools) faces (diofant.combinatorics.polyhedron.Polyhedron property) factor() (diofant.core.expr.Expr method) (in module diofant.polys.polytools) factor_list() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) factor_terms() (in module diofant.core.exprtools) factorial (class in diofant.functions.combinatorial.factorials) factorial2 (class in diofant.functions.combinatorial.factorials) factoring_visitor() (in module diofant.utilities.enumerative) factorint() (in module diofant.ntheory.factor_) factorrat() (in module diofant.ntheory.factor_) factors() (diofant.core.numbers.Rational method) FallingFactorial (class in diofant.functions.combinatorial.factorials) fcode() (in module diofant.printing.fcode) FCodeGen (class in diofant.utilities.codegen) FCodePrinter (class in diofant.printing.fcode) fdiff() (diofant.core.function.Function method) (diofant.core.power.log method) (diofant.functions.elementary.complexes.Abs method) (diofant.functions.elementary.exponential.LambertW method) (diofant.functions.elementary.hyperbolic.csch method) (diofant.functions.elementary.hyperbolic.sinh method) fibonacci (class in diofant.functions.combinatorial.numbers) Field (class in diofant.domains.field) field (diofant.domains.field.Field property) (diofant.domains.IntegerRing property) (diofant.polys.rings.PolynomialRing property) field_isomorphism() (in module diofant.polys.numberfields) fill() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) filldedent() (in module diofant.utilities.misc) find() (diofant.core.basic.Basic method) find_DN() (in module diofant.solvers.diophantine) findrecur() (diofant.concrete.summations.Sum method) finite_field() (diofant.domains.IntegerRing method) finite_ring() (diofant.domains.IntegerRing method) FiniteField (class in diofant.domains) FiniteSet (class in diofant.sets.sets) FlagError flatten() (diofant.core.add.Add class method) (diofant.core.mul.Mul class method) (in module diofant.utilities.iterables)

Float (class in diofant.core.numbers) FloatRationalizer (class in diofant.interactive.session) floor (class in diofant.functions.elementary.integers) floor() (diofant.core.numbers.Float method) fourier_transform() (in module diofant.integrals.transforms) FourierTransform (class in diofant.integrals.transforms) frac_field() (diofant.domains.domain.Domain method) FracElement (class in diofant.polys.fields) fraction() (in module diofant.simplify.radsimp) FractionField (class in diofant.polys.fields) free_symbols (diofant.concrete.expr_with_limits.ExprWithLimits property) (diofant.core.basic.Basic property) (diofant.core.function.Derivative property) (diofant.core.function.Lambda property) (diofant.core.function.Subs property) (diofant.integrals.integrals.Integral property) (diofant.integrals.transforms.IntegralTransform property) (diofant.matrices.matrices.MatrixBase property) (diofant.polys.polytools.Poly property) (diofant.polys.polytools.PurePoly property) free_symbols_in_domain (diofant.polys.polytools.Poly property) fresnelc (class in diofant.functions.special.error_functions) FresnelIntegral (class in diofant.functions.special.error_functions) fresnels (class in diofant.functions.special.error_functions) from_dict() (diofant.polys.polytools.Poly class method) from_expr() (diofant.domains.domain.Domain method) (diofant.polys.polytools.Poly class method) from_inversion_vector() (diofant.combinatorics.permutations.Permutation class method) from_list() (diofant.polys.polytools.Poly class method) from_poly() (diofant.polys.polytools.Poly class method) from_rgs() (diofant.combinatorics.partitions.Partition class method) from_sequence() (diofant.combinatorics.permutations.Permutation class method) fu() (in module diofant.simplify.fu) full_cyclic_form (diofant.combinatorics.permutations.Permutation property) func (diofant.core.basic.Basic property) func_field_modgcd() (in module diofant.polys.modulargcd) Function (class in diofant.core.function) function (diofant.concrete.expr_with_limits.ExprWithLimits property) (diofant.integrals.transforms.IntegralTransform property) function_exponentiation() (in module diofant.parsing.sympy_parser) function_variable (diofant.integrals.transforms.IntegralTransform property) FunctionClass (class in diofant.core.function) FunctionMatrix (class in diofant.matrices.expressions) futrig() (in module diofant.simplify.trigsimp)

G

G() (in module diofant.printing.pretty_symbology) g() (in module diofant.printing.pretty_symbology) GaloisFieldElement (class in diofant.domains.finitefield) gamma (class in diofant.functions.special.gamma_functions) gauss_chebyshev_t() (in module diofant.integrals.quadrature) gauss_chebyshev_u() (in module diofant.integrals.quadrature) gauss_gen_laguerre() (in module diofant.integrals.quadrature) gauss_hermite() (in module diofant.integrals.quadrature) gauss_jacobi() (in module diofant.integrals.quadrature) gauss_laguerre() (in module diofant.integrals.quadrature) gauss_legendre() (in module diofant.integrals.quadrature) gaussian_reduce() (in module diofant.solvers.diophantine) gcd() (diofant.core.numbers.Number method) (diofant.core.numbers.Rational method) (diofant.domains.field.Field method) (diofant.polys.monomials.Monomial method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) gcd_terms() (in module diofant.core.exprtools) gcdex() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (diofant.polys.rings.PolynomialRing method) (in module diofant.polys.polytools) Ge (in module diofant.core.relational) gegenbauer (class in diofant.functions.special.polynomials) gegenbauer_poly() (in module diofant.polys.orthopolys) gen (diofant.polys.polytools.Poly property) generate() (diofant.combinatorics.perm_groups.PermutationGroup method) generate_dimino() (diofant.combinatorics.perm_groups.PermutationGroup method) generate_gray() (diofant.combinatorics.graycode.GrayCode method) generate_schreier_sims() (diofant.combinatorics.perm_groups.PermutationGroup method) generators (diofant.combinatorics.perm_groups.PermutationGroup property) GeneratorsError GeneratorsNeededError get() (diofant.core.containers.Dict method) get_adjacency_distance() (diofant.combinatorics.permutations.Permutation method) get_adjacency_matrix() (diofant.combinatorics.permutations.Permutation method)

get_contraction_structure() (in module diofant.tensor.index_methods) get_default_datatype() (in module diofant.utilities.codegen) get_diag_blocks() (diofant.matrices.matrices.MatrixBase method) get_exact() (diofant.domains.domain.Domain method) get_indices() (in module diofant.tensor.index_methods) get_interface() (diofant.utilities.codegen.FCodeGen method) get_modulus() (diofant.polys.polytools.Poly method) get_period() (diofant.functions.special.hyper.meijerg method) get_positional_distance() (diofant.combinatorics.permutations.Permutation method) get_precedence_distance() (diofant.combinatorics.permutations.Permutation method) get_precedence_matrix() (diofant.combinatorics.permutations.Permutation method) get_prototype() (diofant.utilities.codegen.CCodeGen method) get_subset_from_bitstring() (diofant.combinatorics.graycode method) get_symmetric_group_sgs() (in module diofant.combinatorics.tensor_can) getn() (diofant.core.expr.Expr method) getO() (diofant.core.add.Add method) (diofant.core.expr.Expr method) GMPYFiniteField (class in diofant.domains.finitefield) GMPYIntegerRing (class in diofant.domains.integerring) GMPYRationalField (class in diofant.domains.rationalfield) GoldenRatio (class in diofant.core.numbers) gosper_normal() (in module diofant.concrete.gosper) gosper_sum() (in module diofant.concrete.gosper) gosper_term() (in module diofant.concrete.gosper) GradedLexOrder (class in diofant.polys.orderings) GramSchmidt() (in module diofant.matrices.dense) gray_to_bin() (diofant.combinatorics.graycode method) GrayCode (class in diofant.combinatorics.graycode) graycode_subsets() (diofant.combinatorics.graycode method) GreaterThan (class in diofant.core.relational) greek_letters (in module diofant.printing.pretty_symbology) groebner() (in module diofant.polys.groebnertools) (in module diofant.polys.polytools) groebner_gcd() (in module diofant.polys.groebnertools) groebner_lcm() (in module diofant.polys.groebnertools) GroebnerBasis (class in diofant.polys.polytools) group() (in module diofant.utilities.iterables) Gt (in module diofant.core.relational)

H

H (diofant.matrices.matrices.MatrixBase property) Half (class in diofant.core.numbers) half_gcdex() (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (diofant.polys.rings.PolynomialRing method) (in module diofant.polys.polytools) hankel1 (class in diofant.functions.special.bessel) hankel2 (class in diofant.functions.special.bessel) hankel_transform() (in module diofant.integrals.transforms) HankelTransform (class in diofant.integrals.transforms) harmonic (class in diofant.functions.combinatorial.numbers) has() (diofant.core.basic.Basic method) (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) has_only_gens() (diofant.polys.polytools.Poly method) Heaviside (class in diofant.functions.special.delta_functions)

height() (diofant.printing.stringpict.stringPict method) hermite (class in diofant.functions.special.polynomials) hermite_poly() (in module diofant.polys.orthopolys) hessian() (in module diofant.matrices.dense) heurisch() (in module diofant.integrals.heurisch) heurisch_wrapper() (in module diofant.integrals.heurisch) HeuristicGCDFailedError hobj() (in module diofant.printing.pretty_symbology) holzer() (in module diofant.solvers.diophantine) homogeneous_order() (in module diofant.solvers.ode) HomomorphismFailedError horner() (in module diofant.polys.polyfuncs) hstack() (diofant.matrices.matrices.MatrixBase class method) hyper (class in diofant.functions.special.hyper) HyperbolicFunction (class in diofant.functions.elementary.hyperbolic) hyperexpand() (in module diofant.simplify.hyperexpand) hypersimilar() (in module diofant.simplify.simplify) hypersimp() (in module diofant.simplify.simplify)

I

Identity (class in diofant.matrices.expressions) IdentityFunction (class in diofant.functions.elementary.miscellaneous) Idx (class in diofant.tensor.indexed) im (class in diofant.functions.elementary.complexes) ImageSet (class in diofant.sets.fancysets) imageset() (in module diofant.sets.sets) ImaginaryUnit (class in diofant.core.numbers) ImmutableDenseNDimArray (class in diofant.tensor.array) ImmutableMatrix (class in diofant.matrices.immutable) ImmutableSparseMatrix (class in diofant.matrices.immutable) ImmutableSparseNDimArray (class in diofant.tensor.array) implemented_function() (in module diofant.utilities.lambdify) implicit_application() (in module diofant.parsing.sympy_parser) implicit_multiplication() (in module diofant.parsing.sympy_parser) implicit_multiplication_application() (in module diofant.parsing.sympy_parser) Implies (class in diofant.logic.boolalg) indent_code() (diofant.printing.ccode.CCodePrinter method) (diofant.printing.fcode.FCodePrinter method) independent_sets (diofant.polys.polytools.GroebnerBasis property) index() (diofant.combinatorics.permutations.Permutation method) (diofant.concrete.expr_with_intlimits.ExprWithIntLimits method) (diofant.core.containers.Tuple method) (diofant.polys.rings.PolynomialRing method) IndexConformanceExceptionError Indexed (class in diofant.tensor.indexed) IndexedBase (class in diofant.tensor.indexed) IndexExceptionError indices (diofant.tensor.indexed.Indexed property) indices_contain_equal_information (diofant.functions.special.tensor_functions.KroneckerDelta property) inf (diofant.sets.sets.Interval property) (diofant.sets.sets.Set property) infinitesimals() (in module diofant.solvers.ode) Infinity (class in diofant.core.numbers) init_printing() (in module diofant.interactive.printing) inject() (diofant.domains.compositedomain.CompositeDomain method) (diofant.domains.simpledomain.SimpleDomain method) (diofant.polys.polytools.Poly method) InputArgument (class in diofant.utilities.codegen) Integer (class in diofant.core.numbers) integer_digits() (in module diofant.core.numbers) integer_nthroot() (in module diofant.core.power) integer_rational_reconstruction() (in module diofant.ntheory.modular) IntegerDivisionWrapper (class in diofant.interactive.session) IntegerModRing (class in diofant.domains) IntegerPartition (class in diofant.combinatorics.partitions) IntegerRing (class in diofant.domains) Integers (class in diofant.sets.fancysets) Integral (class in diofant.integrals.integrals) Integral.is_commutative (in module diofant.integrals.integrals) IntegralTransform (class in diofant.integrals.transforms) integrand() (diofant.functions.special.hyper.meijerg method) integrate() (diofant.core.expr.Expr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.matrices.MatrixBase method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.integrals.integrals) interior (diofant.sets.sets.Set property) interpolate() (in module diofant.polys.polyfuncs) interpolating_poly() (in module diofant.polys.specialpolys) Intersection (class in diofant.sets.sets) intersection() (diofant.sets.sets.Set method) Interval (class in diofant.sets.sets) interval (diofant.polys.rootoftools.RootOf property) inv() (diofant.matrices.matrices.MatrixBase method) inv_mod() (diofant.matrices.matrices.MatrixBase method) Inverse (class in diofant.matrices.expressions) inverse() (diofant.core.power.log method) (diofant.functions.elementary.hyperbolic.acosh method) (diofant.functions.elementary.hyperbolic.acoth method) (diofant.functions.elementary.hyperbolic.asinh method) (diofant.functions.elementary.hyperbolic.atanh method) (diofant.functions.elementary.hyperbolic.coth method) (diofant.functions.elementary.hyperbolic.sinh method) (diofant.functions.elementary.hyperbolic.tanh method) (diofant.functions.elementary.trigonometric.acos method) (diofant.functions.elementary.trigonometric.acot method) (diofant.functions.elementary.trigonometric.acsc method) (diofant.functions.elementary.trigonometric.asec method) (diofant.functions.elementary.trigonometric.asin method) (diofant.functions.elementary.trigonometric.atan method) (diofant.functions.elementary.trigonometric.cot method) (diofant.functions.elementary.trigonometric.tan method) inverse_ADJ() (diofant.matrices.matrices.MatrixBase method) inverse_cosine_transform() (in module diofant.integrals.transforms) inverse_fourier_transform() (in module diofant.integrals.transforms) inverse_GE() (diofant.matrices.matrices.MatrixBase method) inverse_hankel_transform() (in module diofant.integrals.transforms) inverse_laplace_transform() (in module diofant.integrals.transforms) inverse_LU() (diofant.matrices.matrices.MatrixBase method) inverse_mellin_transform() (in module diofant.integrals.transforms) inverse_sine_transform() (in module diofant.integrals.transforms) InverseCosineTransform (class in diofant.integrals.transforms) InverseFourierTransform (class in diofant.integrals.transforms) InverseHankelTransform (class in diofant.integrals.transforms) InverseLaplaceTransform (class in diofant.integrals.transforms) InverseMellinTransform (class in diofant.integrals.transforms) InverseSineTransform (class in diofant.integrals.transforms) inversion_vector() (diofant.combinatorics.permutations.Permutation method) inversions() (diofant.combinatorics.permutations.Permutation method) invert() (diofant.core.expr.Expr method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) is_abelian (diofant.combinatorics.perm_groups.PermutationGroup property) is_above_fermi (diofant.functions.special.tensor_functions.KroneckerDelta property) is_algebraic (diofant.core.expr.Expr property) is_algebraic_expr() (diofant.core.expr.Expr method) is_alt_sym() (diofant.combinatorics.perm_groups.PermutationGroup method) is_anti_symmetric() (diofant.matrices.matrices.MatrixBase method) is_below_fermi (diofant.functions.special.tensor_functions.KroneckerDelta property) is_closed (diofant.sets.sets.Set property)

is_cnf() (in module diofant.logic.boolalg) is_commutative (diofant.core.expr.Expr property) is_comparable (diofant.core.expr.Expr property) is_complex (diofant.core.expr.Expr property) is_composite (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_constant() (diofant.core.expr.Expr method) is_cyclotomic (diofant.polys.polytools.Poly property) is_diagonal() (diofant.matrices.matrices.MatrixBase method) is_diagonalizable() (diofant.matrices.matrices.MatrixBase method) is_disjoint() (diofant.polys.rootisolation.ComplexInterval method) (diofant.polys.rootisolation.RealInterval method) (diofant.sets.sets.Set method) is_dnf() (in module diofant.logic.boolalg) is_Empty (diofant.combinatorics.permutations.Permutation property) is_evaluated (diofant.core.basic.Basic property) is_even (diofant.combinatorics.permutations.Permutation property) (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_extended_real (diofant.core.expr.Expr property) is_finite (diofant.core.expr.Expr property) is_groebner() (in module diofant.polys.groebnertools) is_ground (diofant.polys.polytools.Poly property) is_hermitian (diofant.matrices.matrices.MatrixBase property) (diofant.matrices.sparse.SparseMatrixBase property) is_homogeneous (diofant.polys.polytools.Poly property) is_hypergeometric() (diofant.core.expr.Expr method) is_Identity (diofant.combinatorics.permutations.Permutation property) is_imaginary (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_infinite (diofant.core.expr.Expr property) is_integer (diofant.core.expr.Expr property) is_irrational (diofant.core.expr.Expr property) is_irreducible (diofant.polys.polytools.Poly property) is_iterable() (in module diofant.utilities.iterables) is_left_unbounded (diofant.sets.sets.Interval property) is_linear (diofant.polys.polytools.Poly property) is_lower (diofant.matrices.matrices.MatrixBase property) is_lower_hessenberg (diofant.matrices.matrices.MatrixBase property) is_minimal() (in module diofant.polys.groebnertools) is_multivariate (diofant.polys.polytools.Poly property) is_negative (diofant.core.expr.Expr property) is_nilpotent (diofant.combinatorics.perm_groups.PermutationGroup property) is_nilpotent() (diofant.matrices.matrices.MatrixBase method) is_nnf() (in module diofant.logic.boolalg) is_noninteger (diofant.core.expr.Expr property) is_nonnegative (diofant.core.expr.Expr property) is_nonpositive (diofant.core.expr.Expr property) is_nonzero (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_normal() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.domains.ring.CommutativeRing method) is_nthpow_residue() (in module diofant.ntheory.residue_ntheory) is_number (diofant.concrete.expr_with_limits.ExprWithLimits property) (diofant.core.expr.Expr property) is_odd (diofant.combinatorics.permutations.Permutation property) (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_one (diofant.polys.polytools.Poly property) is_only_above_fermi (diofant.functions.special.tensor_functions.KroneckerDelta property) is_only_below_fermi (diofant.functions.special.tensor_functions.KroneckerDelta property) is_open (diofant.sets.sets.Set property) is_polar (diofant.core.expr.Expr property) is_polynomial() (diofant.core.expr.Expr method) is_positive (diofant.core.expr.Expr property) is_prime (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) is_primitive (diofant.domains.finitefield.ModularInteger property) is_primitive() (diofant.combinatorics.perm_groups.PermutationGroup method) is_primitive_root() (in module diofant.ntheory.residue_ntheory) is_proper_subset() (diofant.sets.sets.Set method) is_proper_superset() (diofant.sets.sets.Set method) is_quad_residue() (in module diofant.ntheory.residue_ntheory) is_quadratic (diofant.polys.polytools.Poly property) is_rational (diofant.core.expr.Expr property) is_rational_function() (diofant.core.expr.Expr method) is_real (diofant.core.expr.Expr property) is_rewritable_or_comparable() (in module diofant.polys.groebnertools) is_right_unbounded (diofant.sets.sets.Interval property) is_sequence() (in module diofant.utilities.iterables) is_simple() (diofant.functions.special.delta_functions.DiracDelta method) is_Singleton (diofant.combinatorics.permutations.Permutation property) is_solvable (diofant.combinatorics.perm_groups.PermutationGroup property) is_square (diofant.matrices.matrices.MatrixBase property) is_square() (in module diofant.ntheory.primetest) is_squarefree (diofant.polys.polytools.Poly property) is_subgroup() (diofant.combinatorics.perm_groups.PermutationGroup method) is_subset() (diofant.sets.sets.Set method) is_superset() (diofant.sets.sets.Set method) is_symbolic() (diofant.matrices.matrices.MatrixBase method) is_symmetric() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) is_term (diofant.polys.polytools.Poly property) is_transcendental (diofant.core.expr.Expr property) is_transitive() (diofant.combinatorics.perm_groups.PermutationGroup method) is_trivial (diofant.combinatorics.perm_groups.PermutationGroup property) is_univariate (diofant.polys.polytools.Poly property) is_upper (diofant.matrices.matrices.MatrixBase property) is_upper_hessenberg (diofant.matrices.matrices.MatrixBase property) is_zero (diofant.core.expr.Expr property) (diofant.core.numbers.Integer property) (diofant.matrices.matrices.MatrixBase property) (diofant.polys.polytools.Poly property) isdisjoint() (diofant.sets.sets.Set method) IsomorphismFailedError isprime() (in module diofant.ntheory.primetest) issubset() (diofant.sets.sets.Set method) issuperset() (diofant.sets.sets.Set method) ITE (class in diofant.logic.boolalg) items() (diofant.core.containers.Dict method) iterate_binary() (diofant.combinatorics.subsets.Subset method) iterate_graycode() (diofant.combinatorics.subsets.Subset method)

J

jacobi (class in diofant.functions.special.polynomials) jacobi_normalized() (in module diofant.functions.special.polynomials) jacobi_poly() (in module diofant.polys.orthopolys) jacobi_symbol() (in module diofant.ntheory.residue_ntheory) jacobian() (diofant.matrices.matrices.MatrixBase method)

jn (class in diofant.functions.special.bessel) jn_zeros() (in module diofant.functions.special.bessel) jordan_cell() (in module diofant.matrices.dense) jordan_cells() (diofant.matrices.matrices.MatrixBase method) jordan_form() (diofant.matrices.matrices.MatrixBase method) josephus() (diofant.combinatorics.permutations.Permutation class method)

K

key2bounds() (diofant.matrices.matrices.MatrixBase method) key2ij() (diofant.matrices.matrices.MatrixBase method) keys() (diofant.core.containers.Dict method)

killable_index (diofant.functions.special.tensor_functions.KroneckerDelta property) KroneckerDelta (class in diofant.functions.special.tensor_functions) ksubsets() (diofant.combinatorics.subsets method)

L

label (diofant.tensor.indexed.Idx property) (diofant.tensor.indexed.IndexedBase property) laguerre (class in diofant.functions.special.polynomials) laguerre_poly() (in module diofant.polys.orthopolys) Lambda (class in diofant.core.function) LambdaPrinter (class in diofant.printing.lambdarepr) lambdarepr() (in module diofant.printing.lambdarepr) lambdastr() (in module diofant.utilities.lambdify) lambdify() (in module diofant.utilities.lambdify) LambertW (class in diofant.functions.elementary.exponential) laplace_transform() (in module diofant.integrals.transforms) LaplaceTransform (class in diofant.integrals.transforms) latex() (in module diofant.printing.latex) LatexPrinter (class in diofant.printing.latex) lbp_cmp() (in module diofant.polys.groebnertools) lbp_key() (in module diofant.polys.groebnertools) lbp_mul_term() (in module diofant.polys.groebnertools) lbp_sub() (in module diofant.polys.groebnertools) LC() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) lcm() (diofant.core.numbers.Number method) (diofant.core.numbers.Rational method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.monomials.Monomial method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) ldescent() (in module diofant.solvers.diophantine) LDLdecomposition() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) LDLsolve() (diofant.matrices.matrices.MatrixBase method) Le (in module diofant.core.relational) leading_expv() (diofant.polys.rings.PolyElement method) leading_term() (diofant.polys.rings.PolyElement method) leadterm() (in module diofant.calculus.gruntz) left (diofant.sets.sets.Interval property) left() (diofant.printing.stringpict.stringPict method) left_open (diofant.sets.sets.Interval property) legendre (class in diofant.functions.special.polynomials) legendre_poly() (in module diofant.polys.orthopolys) legendre_symbol() (in module diofant.ntheory.residue_ntheory) length() (diofant.combinatorics.permutations.Permutation method) (diofant.polys.polytools.Poly method) lerchphi (class in diofant.functions.special.zeta_functions) LessThan (class in diofant.core.relational)

LeviCivita (class in diofant.functions.special.tensor_functions) LexOrder (class in diofant.polys.orderings) lhs (diofant.core.relational.Relational property) Li (class in diofant.functions.special.error_functions) li (class in diofant.functions.special.error_functions) lie_heuristic_abaco1_product() (in module diofant.solvers.ode) lie_heuristic_abaco1_simple() (in module diofant.solvers.ode) lie_heuristic_abaco2_similar() (in module diofant.solvers.ode) lie_heuristic_abaco2_unique_unknown() (in module diofant.solvers.ode) lie_heuristic_bivariate() (in module diofant.solvers.ode) lie_heuristic_chi() (in module diofant.solvers.ode) lie_heuristic_function_sum() (in module diofant.solvers.ode) lie_heuristic_linear() (in module diofant.solvers.ode) Limit (class in diofant.calculus.limits) limit() (diofant.core.expr.Expr method) (diofant.matrices.immutable.ImmutableMatrix method) (diofant.matrices.matrices.MatrixBase method) (in module diofant.calculus.limits) limit_denominator() (diofant.core.numbers.Rational method) limitinf() (in module diofant.calculus.gruntz) limits (diofant.concrete.expr_with_limits.ExprWithLimits property) list() (diofant.combinatorics.permutations.Cycle method) (diofant.combinatorics.permutations.Permutation method) list2numpy() (in module diofant.matrices.dense) list_visitor() (in module diofant.utilities.enumerative) liupc() (diofant.matrices.sparse.SparseMatrixBase method) LM() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) log (class in diofant.core.power) logcombine() (in module diofant.simplify.simplify) loggamma (class in diofant.functions.special.gamma_functions) Lopen() (diofant.sets.sets.Interval class method) lower (diofant.tensor.indexed.Idx property) lower_central_series() (diofant.combinatorics.perm_groups.PermutationGroup method) lower_triangular_solve() (diofant.matrices.matrices.MatrixBase method) lowergamma (class in diofant.functions.special.gamma_functions) Lt (in module diofant.core.relational) LT() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) lucas (class in diofant.functions.combinatorial.numbers) LUdecomposition() (diofant.matrices.matrices.MatrixBase method) LUdecomposition_Simple() (diofant.matrices.matrices.MatrixBase method) LUdecompositionFF() (diofant.matrices.matrices.MatrixBase method) LUsolve() (diofant.matrices.matrices.MatrixBase method)

M

make_perm() (diofant.combinatorics.perm_groups.PermutationGroup method) make_property() (in module diofant.core.assumptions) make_routine() (in module diofant.utilities.codegen) ManagedProperties (class in diofant.core.assumptions) MatAdd (class in diofant.matrices.expressions) match() (diofant.core.basic.Basic method) mathematica() (in module diofant.parsing.mathematica) mathematica_code() (in module diofant.printing.mathematica) mathml() (in module diofant.printing.mathml) mathml_tag() (diofant.printing.mathml.MathMLPrinter method) MathMLPrinter (class in diofant.printing.mathml) MatMul (class in diofant.matrices.expressions) MatPow (class in diofant.matrices.expressions) Matrix (class in diofant.matrices) matrix2numpy() (in module diofant.matrices.dense) matrix_fglm() (in module diofant.polys.groebnertools) matrix_multiply_elementwise() (in module diofant.matrices.dense) MatrixBase (class in diofant.matrices.matrices) MatrixError (class in diofant.matrices.matrices) MatrixExpr (class in diofant.matrices.expressions) MatrixSymbol (class in diofant.matrices.expressions) Max (class in diofant.functions.elementary.miscellaneous) max() (diofant.combinatorics.permutations.Permutation method) max_div (diofant.combinatorics.perm_groups.PermutationGroup property) maximize() (in module diofant.calculus.optimization) MCodePrinter (class in diofant.printing.mathematica) measure (diofant.sets.sets.Set property) meijerg (class in diofant.functions.special.hyper) mellin_transform() (in module diofant.integrals.transforms) MellinTransform (class in diofant.integrals.transforms) merge_solution() (in module diofant.solvers.diophantine) Min (class in diofant.functions.elementary.miscellaneous) min() (diofant.combinatorics.permutations.Permutation method) minimal_block() (diofant.combinatorics.perm_groups.PermutationGroup method) minimal_polynomial() (in module diofant.polys.numberfields) minimize() (in module diofant.calculus.optimization) minlex() (in module diofant.utilities.iterables) minorEntry() (diofant.matrices.matrices.MatrixBase method) minorMatrix() (diofant.matrices.matrices.MatrixBase method) minpoly_groebner() (in module diofant.polys.numberfields) minsolve_linear_system() (in module diofant.solvers.solvers) mobius (class in diofant.ntheory.residue_ntheory) Mod (class in diofant.core.mod) mod_inverse() (in module diofant.core.numbers) modgcd() (in module diofant.polys.modulargcd) ModularGCDFailedError ModularInteger (class in diofant.domains.finitefield) module diofant diofant.calculus diofant.calculus.gruntz diofant.calculus.limits diofant.calculus.optimization diofant.calculus.order diofant.calculus.residues diofant.calculus.singularities diofant.combinatorics.generators diofant.combinatorics.graycode diofant.combinatorics.group_constructs diofant.combinatorics.named_groups diofant.combinatorics.partitions diofant.combinatorics.perm_groups diofant.combinatorics.permutations diofant.combinatorics.polyhedron diofant.combinatorics.prufer diofant.combinatorics.subsets diofant.combinatorics.tensor_can diofant.combinatorics.testutil diofant.combinatorics.util diofant.config diofant.core diofant.core.add diofant.core.assumptions diofant.core.basic diofant.core.cache diofant.core.containers diofant.core.core diofant.core.evalf diofant.core.evaluate diofant.core.expr diofant.core.exprtools diofant.core.function diofant.core.mod diofant.core.mul diofant.core.multidimensional diofant.core.numbers diofant.core.power diofant.core.relational diofant.core.singleton diofant.core.symbol diofant.core.sympify diofant.domains diofant.functions diofant.functions.special.bessel diofant.functions.special.beta_functions diofant.functions.special.elliptic_integrals diofant.functions.special.error_functions diofant.functions.special.gamma_functions diofant.functions.special.polynomials diofant.functions.special.zeta_functions diofant.integrals diofant.integrals.meijerint_doc diofant.integrals.quadrature diofant.integrals.transforms diofant.interactive diofant.interactive.printing diofant.interactive.session diofant.logic diofant.matrices diofant.matrices.dense diofant.matrices.expressions diofant.matrices.expressions.blockmatrix diofant.matrices.immutable diofant.matrices.matrices diofant.matrices.sparse diofant.ntheory.continued_fraction diofant.ntheory.egyptian_fraction diofant.ntheory.factor_ diofant.ntheory.generate diofant.ntheory.modular diofant.ntheory.multinomial diofant.ntheory.partitions_ diofant.ntheory.primetest diofant.ntheory.residue_ntheory diofant.parsing diofant.polys diofant.polys.constructor diofant.polys.euclidtools diofant.polys.factorization_alg_field diofant.polys.factortools diofant.polys.groebnertools diofant.polys.modulargcd diofant.polys.monomials diofant.polys.numberfields diofant.polys.orderings diofant.polys.orthopolys diofant.polys.partfrac diofant.polys.polyerrors diofant.polys.polyfuncs diofant.polys.polyoptions diofant.polys.polyroots diofant.polys.polytools diofant.polys.rationaltools diofant.polys.rootisolation diofant.polys.rootoftools diofant.polys.specialpolys diofant.polys.sqfreetools diofant.printing diofant.printing.ccode diofant.printing.codeprinter diofant.printing.conventions diofant.printing.fcode diofant.printing.lambdarepr diofant.printing.latex diofant.printing.mathematica diofant.printing.mathml diofant.printing.precedence diofant.printing.pretty diofant.printing.pretty_symbology diofant.printing.printer diofant.printing.python diofant.printing.repr diofant.printing.str diofant.printing.stringpict diofant.sets.fancysets diofant.sets.sets diofant.simplify.combsimp diofant.simplify.cse_main diofant.simplify.epathtools diofant.simplify.fu diofant.simplify.hyperexpand diofant.simplify.hyperexpand_doc diofant.simplify.powsimp diofant.simplify.radsimp diofant.simplify.ratsimp diofant.simplify.sqrtdenest diofant.simplify.traversaltools diofant.simplify.trigsimp diofant.solvers diofant.solvers.deutils diofant.solvers.diophantine diofant.solvers.inequalities diofant.solvers.ode diofant.solvers.pde diofant.solvers.polysys diofant.solvers.recurr diofant.solvers.solvers diofant.solvers.utils diofant.tensor diofant.tensor.array diofant.tensor.index_methods diofant.tensor.indexed diofant.utilities diofant.utilities.autowrap diofant.utilities.codegen diofant.utilities.decorator diofant.utilities.enumerative diofant.utilities.iterables diofant.utilities.lambdify diofant.utilities.memoization diofant.utilities.misc diofant.utilities.randtest

monic() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) Monomial (class in diofant.polys.monomials) monoms() (diofant.polys.polytools.Poly method) mr() (in module diofant.ntheory.primetest) mrv() (in module diofant.calculus.gruntz) mrv_max() (in module diofant.calculus.gruntz) Mul (class in diofant.core.mul) mul_inv() (diofant.combinatorics.permutations.Permutation method) multinomial_coefficients() (in module diofant.ntheory.multinomial) multinomial_coefficients_iterator() (in module diofant.ntheory.multinomial) multiplicity() (in module diofant.ntheory.factor_) multiply() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) multiply_elementwise() (diofant.matrices.matrices.MatrixBase method) multiset() (in module diofant.utilities.iterables) multiset_combinations() (in module diofant.utilities.iterables) multiset_partitions() (in module diofant.utilities.iterables) multiset_partitions_taocp() (in module diofant.utilities.enumerative) multiset_permutations() (in module diofant.utilities.iterables) MultisetPartitionTraverser (class in diofant.utilities.enumerative) MultivariatePolynomialError MutableDenseMatrix (class in diofant.matrices.dense) MutableDenseNDimArray (class in diofant.tensor.array) MutableMatrix (in module diofant.matrices.dense) MutableSparseMatrix (class in diofant.matrices.sparse) MutableSparseNDimArray (class in diofant.tensor.array)

N

n (diofant.combinatorics.graycode.GrayCode property) N() (in module diofant.core.evalf) n_order() (in module diofant.ntheory.residue_ntheory) NaN (class in diofant.core.numbers) Nand (class in diofant.logic.boolalg) nargs (diofant.core.function.FunctionClass property) Naturals (class in diofant.sets.fancysets) Naturals0 (class in diofant.sets.fancysets) Ne (in module diofant.core.relational) NegativeInfinity (class in diofant.core.numbers) NegativeOne (class in diofant.core.numbers) new() (diofant.polys.polytools.Poly class method) (diofant.polys.rootoftools.RootSum class method) next() (diofant.combinatorics.graycode.GrayCode method) (diofant.combinatorics.prufer.Prufer method) (diofant.printing.stringpict.stringPict static method) next_binary() (diofant.combinatorics.subsets.Subset method) next_gray() (diofant.combinatorics.subsets.Subset method) next_lex() (diofant.combinatorics.partitions.IntegerPartition method) (diofant.combinatorics.permutations.Permutation method) next_lexicographic() (diofant.combinatorics.subsets.Subset method) next_nonlex() (diofant.combinatorics.permutations.Permutation method) next_trotterjohnson() (diofant.combinatorics.permutations.Permutation method) nextprime() (in module diofant.ntheory.generate) nfloat() (in module diofant.core.function) nnz() (diofant.matrices.sparse.SparseMatrixBase method)

no_attrs_in_subclass (class in diofant.utilities.decorator) nodes (diofant.combinatorics.prufer.Prufer property) NonSquareMatrixError (class in diofant.matrices.matrices) Nor (class in diofant.logic.boolalg) norm() (diofant.matrices.matrices.MatrixBase method) normal() (diofant.core.expr.Expr method) normal_closure() (diofant.combinatorics.perm_groups.PermutationGroup method) normalized() (diofant.matrices.matrices.MatrixBase method) Not (class in diofant.logic.boolalg) NotAlgebraicError NotInvertibleError NotIterable (class in diofant.utilities.iterables) NotReversibleError npartitions() (in module diofant.ntheory.partitions_) nroots() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) nseries() (diofant.core.expr.Expr method) nsimplify() (diofant.core.expr.Expr method) (in module diofant.simplify.simplify) nthroot() (in module diofant.simplify.simplify) nthroot_mod() (in module diofant.ntheory.residue_ntheory) nu (diofant.functions.special.hyper.meijerg property) nullspace() (diofant.matrices.matrices.MatrixBase method) Number (class in diofant.core.numbers) numbered_symbols() (in module diofant.utilities.iterables) NumberSymbol (class in diofant.core.numbers)

O

O (in module diofant.calculus.order) OctaveCodeGen (class in diofant.utilities.codegen) ode_1st_exact() (in module diofant.solvers.ode) ode_1st_homogeneous_coeff_best() (in module diofant.solvers.ode) ode_1st_homogeneous_coeff_subs_dep_div_indep() (in module diofant.solvers.ode) ode_1st_homogeneous_coeff_subs_indep_div_dep() (in module diofant.solvers.ode) ode_1st_linear() (in module diofant.solvers.ode) ode_1st_power_series() (in module diofant.solvers.ode) ode_2nd_power_series_ordinary() (in module diofant.solvers.ode) ode_2nd_power_series_regular() (in module diofant.solvers.ode) ode_almost_linear() (in module diofant.solvers.ode) ode_Bernoulli() (in module diofant.solvers.ode) ode_lie_group() (in module diofant.solvers.ode) ode_linear_coefficients() (in module diofant.solvers.ode) ode_Liouville() (in module diofant.solvers.ode) ode_nth_linear_constant_coeff_homogeneous() (in module diofant.solvers.ode) ode_nth_linear_constant_coeff_undetermined_coefficients() (in module diofant.solvers.ode) ode_nth_linear_constant_coeff_variation_of_parameters() (in module diofant.solvers.ode) ode_order() (in module diofant.solvers.deutils) ode_Riccati_special_minus2() (in module diofant.solvers.ode) ode_separable() (in module diofant.solvers.ode)

ode_separable_reduced() (in module diofant.solvers.ode) ode_sol_simplicity() (in module diofant.solvers.ode) odesimp() (in module diofant.solvers.ode) One (class in diofant.core.numbers) ones() (in module diofant.matrices.dense) open() (diofant.sets.sets.Interval class method) OperationNotSupportedError opt_cse() (in module diofant.simplify.cse_main) OptionError Or (class in diofant.logic.boolalg) orbit() (diofant.combinatorics.perm_groups.PermutationGroup method) orbit_rep() (diofant.combinatorics.perm_groups.PermutationGroup method) orbit_transversal() (diofant.combinatorics.perm_groups.PermutationGroup method) orbits() (diofant.combinatorics.perm_groups.PermutationGroup method) Order (class in diofant.calculus.order) (class in diofant.polys.polyoptions) order (diofant.functions.special.bessel.BesselBase property) order() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.combinatorics.permutations.Permutation method) ordered() (in module diofant.utilities.iterables) ordered_partitions() (in module diofant.utilities.iterables) OutputArgument (class in diofant.utilities.codegen)

P

parallel_poly_from_expr() (in module diofant.polys.polytools) parametrize_ternary_quadratic() (in module diofant.solvers.diophantine) parens() (diofant.printing.stringpict.stringPict method) parity() (diofant.combinatorics.permutations.Permutation method) parse_expr() (in module diofant.parsing.sympy_parser) parse_maxima() (in module diofant.parsing.maxima) Partition (class in diofant.combinatorics.partitions) partition (diofant.combinatorics.partitions.Partition property) partition() (in module diofant.solvers.diophantine) partitions() (in module diofant.utilities.iterables) pde_1st_linear_constant_coeff() (in module diofant.solvers.pde) pde_1st_linear_constant_coeff_homogeneous() (in module diofant.solvers.pde) pde_1st_linear_variable_coeff() (in module diofant.solvers.pde) pde_separate() (in module diofant.solvers.pde) pde_separate_add() (in module diofant.solvers.pde) pde_separate_mul() (in module diofant.solvers.pde) pdsolve() (in module diofant.solvers.pde) per() (diofant.polys.polytools.Poly method) perfect_power() (in module diofant.ntheory.factor_) periodic_argument (class in diofant.functions.elementary.complexes) Permutation (class in diofant.combinatorics.permutations) PermutationGroup (class in diofant.combinatorics.perm_groups) permute_signs() (in module diofant.utilities.iterables) permuteBkwd() (diofant.matrices.matrices.MatrixBase method) permutedims() (in module diofant.tensor.array) permuteFwd() (diofant.matrices.matrices.MatrixBase method) pgroup (diofant.combinatorics.polyhedron.Polyhedron property) Pi (class in diofant.core.numbers) Piecewise (class in diofant.functions.elementary.piecewise) piecewise_fold() (in module diofant.functions.elementary.piecewise) pinv() (diofant.matrices.matrices.MatrixBase method) pinv_solve() (diofant.matrices.matrices.MatrixBase method) point (diofant.core.function.Subs property) pointwise_stabilizer() (diofant.combinatorics.perm_groups.PermutationGroup method) polar_lift (class in diofant.functions.elementary.complexes) PoleError (class in diofant.core.function) PolificationFailedError pollard_pm1() (in module diofant.ntheory.factor_) pollard_rho() (in module diofant.ntheory.factor_) Poly (class in diofant.polys.polytools) poly_ring() (diofant.domains.domain.Domain method) PolyElement (class in diofant.polys.rings) polygamma (class in diofant.functions.special.gamma_functions) Polyhedron (class in diofant.combinatorics.polyhedron) polylog (class in diofant.functions.special.zeta_functions) PolynomialDivisionFailedError PolynomialError PolynomialRing (class in diofant.polys.rings) posify() (in module diofant.simplify.simplify) postorder_traversal() (in module diofant.utilities.iterables) Pow (class in diofant.core.power) powdenest() (in module diofant.simplify.powsimp) power_representation() (in module diofant.solvers.diophantine) powerset() (diofant.sets.sets.Set method) powsimp() (diofant.core.expr.Expr method) (in module diofant.simplify.powsimp) pprint() (in module diofant.printing.pretty) PQa() (in module diofant.solvers.diophantine) PrecisionExhausted (class in diofant.core.evalf) preferred_index (diofant.functions.special.tensor_functions.KroneckerDelta property) prem() (diofant.polys.rings.PolyElement method) preorder_traversal (class in diofant.core.basic)

pretty() (in module diofant.printing.pretty) pretty_atom() (in module diofant.printing.pretty_symbology) pretty_print() (in module diofant.printing.pretty) pretty_symbol() (in module diofant.printing.pretty_symbology) prettyForm (class in diofant.printing.stringpict) PrettyPrinter (class in diofant.printing.pretty) prev() (diofant.combinatorics.prufer.Prufer method) prev_binary() (diofant.combinatorics.subsets.Subset method) prev_gray() (diofant.combinatorics.subsets.Subset method) prev_lex() (diofant.combinatorics.partitions.IntegerPartition method) prev_lexicographic() (diofant.combinatorics.subsets.Subset method) prevprime() (in module diofant.ntheory.generate) prime() (in module diofant.ntheory.generate) prime_as_sum_of_two_squares() (in module diofant.solvers.diophantine) primefactors() (in module diofant.ntheory.factor_) primepi() (in module diofant.ntheory.generate) primerange() (diofant.ntheory.generate.Sieve method) (in module diofant.ntheory.generate) primitive() (diofant.core.add.Add method) (diofant.core.expr.Expr method) (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) primitive_element() (in module diofant.polys.numberfields) primitive_root() (in module diofant.ntheory.residue_ntheory) primorial() (in module diofant.ntheory.generate) principal_branch (class in diofant.functions.elementary.complexes) print_nonzero() (diofant.matrices.matrices.MatrixBase method) Printer (class in diofant.printing.printer) printmethod (diofant.printing.ccode.CCodePrinter attribute) (diofant.printing.codeprinter.CodePrinter attribute) (diofant.printing.fcode.FCodePrinter attribute) (diofant.printing.lambdarepr.LambdaPrinter attribute) (diofant.printing.latex.LatexPrinter attribute) (diofant.printing.mathematica.MCodePrinter attribute) (diofant.printing.mathml.MathMLPrinter attribute) (diofant.printing.printer.Printer attribute) (diofant.printing.repr.ReprPrinter attribute) (diofant.printing.str.StrPrinter attribute) Product (class in diofant.concrete.products) product() (in module diofant.concrete.products) ProductSet (class in diofant.sets.sets) project() (diofant.matrices.matrices.MatrixBase method) Prufer (class in diofant.combinatorics.prufer) prufer_rank() (diofant.combinatorics.prufer.Prufer method) prufer_repr (diofant.combinatorics.prufer.Prufer property) PurePoly (class in diofant.polys.polytools) python--m-diofant command line option --auto-symbols --help --no-ipython --no-wrap-division --unicode-identifiers --version --wrap-floats --wrap-ints -a -h -V PythonFiniteField (class in diofant.domains.finitefield) PythonIntegerRing (class in diofant.domains.integerring) PythonRationalField (class in diofant.domains.rationalfield)

Q

QRdecomposition() (diofant.matrices.matrices.MatrixBase method) QRsolve() (diofant.matrices.matrices.MatrixBase method) quadratic_residues() (in module diofant.ntheory.residue_ntheory) quo() (diofant.domains.field.Field method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools)

quo_ground() (diofant.polys.polytools.Poly method)

R

rad_rationalize() (in module diofant.simplify.radsimp) radius_of_convergence (diofant.functions.special.hyper.hyper property) radsimp() (diofant.core.expr.Expr method) (in module diofant.simplify.radsimp) randMatrix() (in module diofant.matrices.dense) random() (diofant.combinatorics.perm_groups.PermutationGroup method) (diofant.combinatorics.permutations.Permutation class method) random_bitstring() (diofant.combinatorics.graycode method) random_complex_number() (in module diofant.utilities.randtest) random_integer_partition() (in module diofant.combinatorics.partitions) random_poly() (in module diofant.polys.specialpolys) random_pr() (diofant.combinatorics.perm_groups.PermutationGroup method) random_stab() (diofant.combinatorics.perm_groups.PermutationGroup method) randprime() (in module diofant.ntheory.generate) Range (class in diofant.sets.fancysets) ranges (diofant.tensor.indexed.Indexed property) rank (diofant.combinatorics.graycode.GrayCode property) (diofant.combinatorics.partitions.Partition property) (diofant.combinatorics.prufer.Prufer property) (diofant.tensor.indexed.Indexed property) rank() (diofant.combinatorics.permutations.Permutation method) (diofant.matrices.matrices.MatrixBase method) rank_binary (diofant.combinatorics.subsets.Subset property) rank_gray (diofant.combinatorics.subsets.Subset property) rank_lexicographic (diofant.combinatorics.subsets.Subset property) rank_nonlex() (diofant.combinatorics.permutations.Permutation method) rank_trotterjohnson() (diofant.combinatorics.permutations.Permutation method) rat_clear_denoms() (diofant.polys.polytools.Poly method) ratint() (in module diofant.integrals.rationaltools) ratint_logpart() (in module diofant.integrals.rationaltools) ratint_ratpart() (in module diofant.integrals.rationaltools) Rational (class in diofant.core.numbers) RationalField (class in diofant.domains) rationalize() (in module diofant.parsing.sympy_parser) Rationals (class in diofant.sets.fancysets) ratsimp() (diofant.core.expr.Expr method) (in module diofant.simplify.ratsimp) rcollect() (in module diofant.simplify.radsimp) re (class in diofant.functions.elementary.complexes) real_root() (in module diofant.functions.elementary.miscellaneous) real_roots() (diofant.polys.polytools.Poly method) (diofant.polys.rootoftools.RootOf class method) (in module diofant.polys.polytools) RealAlgebraicField (class in diofant.domains) RealField (class in diofant.domains) RealInterval (class in diofant.polys.rootisolation) Reals (class in diofant.sets.fancysets) reconstruct() (in module diofant.solvers.diophantine) recurrence_memo() (in module diofant.utilities.memoization) red_groebner() (in module diofant.polys.groebnertools) reduce() (diofant.polys.polytools.GroebnerBasis method) (diofant.sets.sets.Complement static method) (diofant.sets.sets.Intersection static method) (diofant.sets.sets.Union static method) reduce_inequalities() (in module diofant.solvers.inequalities) reduced() (in module diofant.polys.polytools) refine() (diofant.polys.rootisolation.ComplexInterval method) (diofant.polys.rootisolation.RealInterval method) (diofant.polys.rootoftools.RootOf method) RefinementFailedError Rel (in module diofant.core.relational) Relational (class in diofant.core.relational) rem() (diofant.domains.field.Field method) (diofant.domains.ring.CommutativeRing method) (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) removeO() (diofant.core.add.Add method) (diofant.core.expr.Expr method) render() (diofant.printing.stringpict.stringPict method) reorder() (diofant.concrete.expr_with_intlimits.ExprWithIntLimits method) (diofant.polys.polytools.Poly method)

reorder_limit() (diofant.concrete.expr_with_intlimits.ExprWithIntLimits method) replace() (diofant.core.basic.Basic method) (diofant.matrices.matrices.MatrixBase method) (diofant.polys.polytools.Poly method) reprify() (diofant.printing.repr.ReprPrinter method) ReprPrinter (class in diofant.printing.repr) reset() (diofant.combinatorics.polyhedron.Polyhedron method) reshape() (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.sparse.SparseMatrixBase method) residue() (in module diofant.calculus.residues) Result (class in diofant.utilities.codegen) result_variables (diofant.utilities.codegen.Routine property) resultant() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) retract() (diofant.polys.polytools.Poly method) reverse_order() (diofant.concrete.products.Product method) (diofant.concrete.summations.Sum method) reversed (diofant.core.relational.Relational property) ReversedGradedLexOrder (class in diofant.polys.orderings) rewrite() (diofant.core.basic.Basic method) (in module diofant.calculus.gruntz) RGS (diofant.combinatorics.partitions.Partition property) RGS_enum() (in module diofant.combinatorics.partitions) RGS_generalized() (in module diofant.combinatorics.partitions) RGS_rank() (in module diofant.combinatorics.partitions) RGS_unrank() (in module diofant.combinatorics.partitions) rhs (diofant.core.relational.Relational property) right (diofant.sets.sets.Interval property) right() (diofant.printing.stringpict.stringPict method) right_open (diofant.sets.sets.Interval property) ring (diofant.domains.ring.CommutativeRing property) ring() (in module diofant.polys.rings) RisingFactorial (class in diofant.functions.combinatorial.factorials) RL (diofant.matrices.sparse.SparseMatrixBase property) rmul() (diofant.combinatorics.permutations.Permutation static method) rmul_with_af() (diofant.combinatorics.permutations.Permutation static method) root() (diofant.polys.polytools.Poly method) (in module diofant.functions.elementary.miscellaneous) RootOf (class in diofant.polys.rootoftools) roots() (in module diofant.polys.polyroots) RootSum (class in diofant.polys.rootoftools) Ropen() (diofant.sets.sets.Interval class method) rot_axis1() (in module diofant.matrices.dense) rot_axis2() (in module diofant.matrices.dense) rot_axis3() (in module diofant.matrices.dense) rotate() (diofant.combinatorics.polyhedron.Polyhedron method) rotate_left() (in module diofant.utilities.iterables) rotate_right() (in module diofant.utilities.iterables) round() (diofant.core.expr.Expr method) RoundFunction (class in diofant.functions.elementary.integers) Routine (class in diofant.utilities.codegen) routine() (diofant.utilities.codegen.CodeGen method) (diofant.utilities.codegen.OctaveCodeGen method) row_insert() (diofant.matrices.matrices.MatrixBase method) row_join() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.MutableSparseMatrix method) row_list() (diofant.matrices.sparse.SparseMatrixBase method) row_op() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) row_structure_symbolic_cholesky() (diofant.matrices.sparse.SparseMatrixBase method) row_swap() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) rref() (diofant.matrices.matrices.MatrixBase method) rsolve() (in module diofant.solvers.recurr) rsolve_hyper() (in module diofant.solvers.recurr) rsolve_poly() (in module diofant.solvers.recurr) rsolve_ratio() (in module diofant.solvers.recurr) runs() (diofant.combinatorics.permutations.Permutation method) (in module diofant.utilities.iterables)

S

S (in module diofant.core.singleton) s_poly() (in module diofant.polys.groebnertools) satisfiable() (in module diofant.logic.inference) scalar_multiply() (diofant.matrices.sparse.SparseMatrixBase method) schreier_sims() (diofant.combinatorics.perm_groups.PermutationGroup method) schreier_sims_incremental() (diofant.combinatorics.perm_groups.PermutationGroup method) schreier_sims_random() (diofant.combinatorics.perm_groups.PermutationGroup method) schreier_vector() (diofant.combinatorics.perm_groups.PermutationGroup method) search() (diofant.ntheory.generate.Sieve method) sec (class in diofant.functions.elementary.trigonometric) sech (class in diofant.functions.elementary.hyperbolic) select() (diofant.simplify.epathtools.EPath method) selections (diofant.combinatorics.graycode.GrayCode property) separatevars() (in module diofant.simplify.simplify) series() (diofant.core.expr.Expr method) Set (class in diofant.sets.sets) set_domain() (diofant.polys.polytools.Poly method) set_global_settings() (diofant.printing.printer.Printer class method) set_modulus() (diofant.polys.polytools.Poly method) set_order() (diofant.polys.polytools.GroebnerBasis method) setup() (in module diofant.config) shape (diofant.matrices.matrices.MatrixBase property) (diofant.tensor.indexed.Indexed property) (diofant.tensor.indexed.IndexedBase property) ShapeError (class in diofant.matrices.matrices) Shi (class in diofant.functions.special.error_functions) shift() (diofant.polys.polytools.Poly method) Si (class in diofant.functions.special.error_functions) Sieve (class in diofant.ntheory.generate) sift() (in module diofant.utilities.iterables) sig_cmp() (in module diofant.polys.groebnertools) sig_key() (in module diofant.polys.groebnertools) sig_mult() (in module diofant.polys.groebnertools) sign (class in diofant.functions.elementary.complexes) signature() (diofant.combinatorics.permutations.Permutation method) signed_permutations() (in module diofant.utilities.iterables) signinf() (in module diofant.calculus.gruntz) SimpleDomain (class in diofant.domains.simpledomain) simplify() (diofant.core.expr.Expr method) (diofant.functions.special.delta_functions.DiracDelta method) (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.matrices.MatrixBase method) (in module diofant.simplify.simplify) simplify_logic() (in module diofant.logic.boolalg) sin (class in diofant.functions.elementary.trigonometric) sine_transform() (in module diofant.integrals.transforms) SineTransform (class in diofant.integrals.transforms) Singleton (class in diofant.core.singleton) SingletonRegistry (class in diofant.core.singleton) SingletonWithManagedProperties (class in diofant.core.singleton) singular_values() (diofant.matrices.matrices.MatrixBase method) singularities() (in module diofant.calculus.singularities) sinh (class in diofant.functions.elementary.hyperbolic) size (diofant.combinatorics.permutations.Permutation property) (diofant.combinatorics.polyhedron.Polyhedron property) (diofant.combinatorics.prufer.Prufer property) (diofant.combinatorics.subsets.Subset property) skip() (diofant.combinatorics.graycode.GrayCode method) (diofant.core.basic.preorder_traversal method) smoothness() (in module diofant.ntheory.factor_) smoothness_p() (in module diofant.ntheory.factor_) solve() (diofant.matrices.sparse.SparseMatrixBase method) (in module diofant.solvers.solvers) solve_congruence() (in module diofant.ntheory.modular) solve_least_squares() (diofant.matrices.matrices.MatrixBase method) (diofant.matrices.sparse.SparseMatrixBase method) solve_linear() (in module diofant.solvers.solvers) solve_linear_system() (in module diofant.solvers.polysys) solve_poly_system() (in module diofant.solvers.polysys) solve_surd_system() (in module diofant.solvers.polysys) sort_key() (diofant.combinatorics.partitions.Partition method) (diofant.core.basic.Atom method) (diofant.core.basic.Basic method) (diofant.core.expr.Expr method) (diofant.core.numbers.Number method) (diofant.core.symbol.Dummy method)

SparseMatrix (in module diofant.matrices.sparse) SparseMatrixBase (class in diofant.matrices.sparse) spherical_bessel_fn() (in module diofant.polys.orthopolys) split_super_sub() (in module diofant.printing.conventions) split_symbols() (in module diofant.parsing.sympy_parser) split_symbols_custom() (in module diofant.parsing.sympy_parser) spoly() (in module diofant.polys.groebnertools) sqf() (in module diofant.polys.polytools) sqf_list() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) sqf_norm() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) sqf_normal() (in module diofant.solvers.diophantine) sqf_part() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) sqrt() (in module diofant.functions.elementary.miscellaneous) sqrt_mod() (in module diofant.ntheory.residue_ntheory) sqrt_mod_iter() (in module diofant.ntheory.residue_ntheory) sqrtdenest() (in module diofant.simplify.sqrtdenest) square_factor() (in module diofant.ntheory.factor_) (in module diofant.solvers.diophantine) srepr() (in module diofant.printing.repr) sstr() (in module diofant.printing.str) stabilizer() (diofant.combinatorics.perm_groups.PermutationGroup method) stack() (diofant.printing.stringpict.stringPict static method) standard_transformations (in module diofant.parsing.sympy_parser) start (diofant.sets.sets.Interval property) StdFactKB (class in diofant.core.assumptions) stirling() (in module diofant.functions.combinatorial.numbers) StrictGreaterThan (class in diofant.core.relational) StrictLessThan (class in diofant.core.relational) stringify_expr() (in module diofant.parsing.sympy_parser) stringPict (class in diofant.printing.stringpict) strong_gens (diofant.combinatorics.perm_groups.PermutationGroup property) StrPrinter (class in diofant.printing.str) sturm() (diofant.polys.univar.UnivarPolyElement method) subfactorial (class in diofant.functions.combinatorial.factorials) subgroup_search() (diofant.combinatorics.perm_groups.PermutationGroup method) subresultants() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) (in module diofant.polys.polytools) Subs (class in diofant.core.function) subs() (diofant.core.basic.Basic method) (diofant.matrices.immutable.ImmutableSparseMatrix method) (diofant.matrices.matrices.MatrixBase method) Subset (class in diofant.combinatorics.subsets) subset (diofant.combinatorics.subsets.Subset property) subset_from_bitlist() (diofant.combinatorics.subsets.Subset class method) subset_indices() (diofant.combinatorics.subsets.Subset class method) subsets() (in module diofant.utilities.iterables) Sum (class in diofant.concrete.summations) sum_of_four_squares() (in module diofant.solvers.diophantine) sum_of_powers() (in module diofant.solvers.diophantine) sum_of_squares() (in module diofant.solvers.diophantine) sum_of_three_squares() (in module diofant.solvers.diophantine) summation() (in module diofant.concrete.summations) sup (diofant.sets.sets.Interval property) (diofant.sets.sets.Set property) superset (diofant.combinatorics.subsets.Subset property) superset_size (diofant.combinatorics.subsets.Subset property) support() (diofant.combinatorics.permutations.Permutation method) swinnerton_dyer_poly() (in module diofant.polys.specialpolys) Symbol (class in diofant.core.symbol) symbols() (in module diofant.core.symbol) symmetric() (diofant.combinatorics.generators method) symmetric_difference() (diofant.sets.sets.Set method) symmetric_poly() (in module diofant.polys.specialpolys) symmetric_residue() (in module diofant.ntheory.modular) SymmetricGroup() (in module diofant.combinatorics.named_groups) symmetrize() (in module diofant.polys.polyfuncs) sympify() (in module diofant.core.sympify) sysode_linear_neq_order1() (in module diofant.solvers.ode)

T

T (diofant.matrices.expressions.MatrixExpr property) (diofant.matrices.matrices.MatrixBase property) table() (diofant.matrices.matrices.MatrixBase method) tail_degree() (diofant.polys.rings.PolyElement method) tan (class in diofant.functions.elementary.trigonometric) tanh (class in diofant.functions.elementary.hyperbolic) taylor_term() (diofant.core.expr.Expr method) (diofant.functions.elementary.hyperbolic.csch static method) (diofant.functions.elementary.hyperbolic.sinh static method) TC() (diofant.polys.polytools.Poly method) tensorcontraction() (in module diofant.tensor.array) tensorproduct() (in module diofant.tensor.array) terminal_width() (diofant.printing.stringpict.stringPict method) terms() (diofant.polys.polytools.Poly method) terms_gcd() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) termwise() (diofant.polys.polytools.Poly method) to_cnf() (in module diofant.logic.boolalg) to_dnf() (in module diofant.logic.boolalg) to_exact() (diofant.polys.polytools.Poly method) to_expr() (diofant.domains.domain.Domain method) to_field() (diofant.polys.polytools.Poly method) to_nnf() (in module diofant.logic.boolalg) to_prufer() (diofant.combinatorics.prufer.Prufer static method) to_rational() (diofant.domains.RealField method) to_ring() (diofant.polys.polytools.Poly method) to_tree() (diofant.combinatorics.prufer.Prufer static method) together() (diofant.core.expr.Expr method) (in module diofant.polys.rationaltools) tolist() (diofant.matrices.dense.DenseMatrix method) (diofant.matrices.sparse.SparseMatrixBase method)

total_degree() (diofant.polys.polytools.Poly method) (diofant.polys.rings.PolyElement method) totient (class in diofant.ntheory.factor_) Trace (class in diofant.matrices.expressions) trace() (diofant.matrices.matrices.MatrixBase method) trager() (in module diofant.polys.factorization_alg_field) trailing() (in module diofant.ntheory.factor_) transform() (diofant.integrals.integrals.Integral method) transform_variable (diofant.integrals.transforms.IntegralTransform property) transformation_to_DN() (in module diofant.solvers.diophantine) transformation_to_normal() (in module diofant.solvers.diophantine) transitivity_degree (diofant.combinatorics.perm_groups.PermutationGroup property) transpose (class in diofant.functions.elementary.complexes) Transpose (class in diofant.matrices.expressions) transpose() (diofant.core.expr.Expr method) (diofant.matrices.expressions.blockmatrix.BlockMatrix method) (diofant.matrices.matrices.MatrixBase method) transpositions() (diofant.combinatorics.permutations.Permutation method) tree_cse() (in module diofant.simplify.cse_main) tree_repr (diofant.combinatorics.prufer.Prufer property) trial_division() (in module diofant.polys.modulargcd) trigamma() (in module diofant.functions.special.gamma_functions) trigintegrate() (in module diofant.integrals.trigonometry) trigsimp() (diofant.core.expr.Expr method) (in module diofant.simplify.trigsimp) trunc() (diofant.polys.polytools.Poly method) (in module diofant.polys.polytools) Tuple (class in diofant.core.containers) tuple_count() (diofant.core.containers.Tuple method)

U

U() (in module diofant.printing.pretty_symbology) ufuncify() (in module diofant.utilities.autowrap) UfuncifyCodeWrapper (class in diofant.utilities.autowrap) Unequality (class in diofant.core.relational) unflatten() (in module diofant.utilities.iterables) unicode_identifiers() (in module diofant.interactive.session) UnificationFailedError unify() (diofant.domains.domain.Domain method) (diofant.polys.polytools.Poly method) Union (class in diofant.sets.sets) union() (diofant.sets.sets.Set method) uniq() (in module diofant.utilities.iterables) UnivariatePolynomialError UnivarPolyElement (class in diofant.polys.univar)

UnivarPolynomialRing (class in diofant.polys.univar) UnluckyLeadingCoefficientError unrad() (in module diofant.simplify.sqrtdenest) unrank() (diofant.combinatorics.graycode.GrayCode class method) (diofant.combinatorics.prufer.Prufer class method) unrank_binary() (diofant.combinatorics.subsets.Subset class method) unrank_gray() (diofant.combinatorics.subsets.Subset class method) unrank_lex() (diofant.combinatorics.permutations.Permutation class method) unrank_nonlex() (diofant.combinatorics.permutations.Permutation class method) unrank_trotterjohnson() (diofant.combinatorics.permutations.Permutation class method) upper (diofant.tensor.indexed.Idx property) upper_triangular_solve() (diofant.matrices.matrices.MatrixBase method) uppergamma (class in diofant.functions.special.gamma_functions) use() (in module diofant.simplify.traversaltools)

V

values() (diofant.core.containers.Dict method) (diofant.matrices.matrices.MatrixBase method) var() (in module diofant.core.symbol) variables (diofant.concrete.expr_with_limits.ExprWithLimits property) (diofant.core.function.Derivative property) (diofant.core.function.Lambda property) (diofant.core.function.Subs property) (diofant.utilities.codegen.Routine property)

vec() (diofant.matrices.matrices.MatrixBase method) vech() (diofant.matrices.matrices.MatrixBase method) vectorize (class in diofant.core.multidimensional) verify_derivative_numerically() (in module diofant.utilities.randtest) verify_numerically() (in module diofant.utilities.randtest) vertices (diofant.combinatorics.polyhedron.Polyhedron property) viete() (in module diofant.polys.polyfuncs) vobj() (in module diofant.printing.pretty_symbology) vstack() (diofant.matrices.matrices.MatrixBase class method)

W

width() (diofant.printing.stringpict.stringPict method) Wild (class in diofant.core.symbol) WildFunction (class in diofant.core.function)

wrap_float_literals() (in module diofant.interactive.session) WrapInts (class in diofant.interactive.session) write() (diofant.utilities.codegen.CodeGen method) wronskian() (in module diofant.matrices.dense)

X

xobj() (in module diofant.printing.pretty_symbology) Xor (class in diofant.logic.boolalg) xreplace() (diofant.core.basic.Basic method) (diofant.matrices.immutable.ImmutableSparseMatrix method) (diofant.matrices.matrices.MatrixBase method)

xsym() (in module diofant.printing.pretty_symbology)

Y

yn (class in diofant.functions.special.bessel)

Ynm (class in diofant.functions.special.spherical_harmonics) Ynm_c() (in module diofant.functions.special.spherical_harmonics)

Z

Zero (class in diofant.core.numbers) ZeroMatrix (class in diofant.matrices.expressions) zeros() (diofant.matrices.dense.DenseMatrix class method) (diofant.matrices.sparse.SparseMatrixBase class method) (in module diofant.matrices.dense)

zeta (class in diofant.functions.special.zeta_functions) zip_row_op() (diofant.matrices.dense.MutableDenseMatrix method) (diofant.matrices.sparse.MutableSparseMatrix method) Znm (class in diofant.functions.special.spherical_harmonics)