sympde.exterior package

Submodules

sympde.exterior.calculus module

class sympde.exterior.calculus.Adjoint(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.AdjointExteriorDerivative(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.AdjointInteriorProduct(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.AdjointLieDerivative(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.BasicOperator(*args)

Bases: CalculusFunction

Basic class for calculus operators.

default_assumptions = {}

class sympde.exterior.calculus.ExteriorDerivative(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.ExteriorProduct(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

property math_symbol

nargs = Naturals0

class sympde.exterior.calculus.Hodge(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.InteriorProduct(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

sympde.exterior.calculus.Ld

alias of AdjointLieDerivative

class sympde.exterior.calculus.LieDerivative(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

nargs = Naturals0

class sympde.exterior.calculus.PullBack(*_args)

Bases: LinearOperator

default_assumptions = {'commutative': True}

classmethod eval(*_args)

.

is_commutative = True

property name

str(object=’’) -> str str(bytes_or_buffer[, encoding[, errors]]) -> str

Create a new string object from the given object. If encoding or errors is specified, then the object must expose a data buffer that will be decoded using the given encoding and error handler. Otherwise, returns the result of object.__str__() (if defined) or repr(object). encoding defaults to sys.getdefaultencoding(). errors defaults to ‘strict’.

nargs = Naturals0

sympde.exterior.calculus.d

alias of ExteriorDerivative

sympde.exterior.calculus.delta

alias of AdjointExteriorDerivative

sympde.exterior.calculus.hodge

alias of Hodge

sympde.exterior.calculus.ip

alias of InteriorProduct

sympde.exterior.calculus.jp

alias of AdjointInteriorProduct

sympde.exterior.calculus.ld

alias of LieDerivative

sympde.exterior.calculus.wedge

alias of ExteriorProduct

sympde.exterior.compiler module

class sympde.exterior.compiler.ExteriorCalculusExpr(*_args, **kwargs)

Bases: CalculusFunction

default_assumptions = {}

classmethod eval(*_args, **kwargs)

.

sympde.exterior.compiler.augmented_expression(expr, tests, atoms, weak=True)

sympde.exterior.datatype module

class sympde.exterior.datatype.FiveFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.FormType

Bases: Basic

Base class representing differential form types

default_assumptions = {}

property index

property name

sympde.exterior.datatype.FormTypeFactory(argnames=['_index'], index=None)

class sympde.exterior.datatype.FourFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.OneFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.SixFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.ThreeFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.TwoFormType

Bases: FormType

default_assumptions = {}

class sympde.exterior.datatype.ZeroFormType

Bases: FormType

default_assumptions = {}

sympde.exterior.datatype.get_index_form(dtype)

sympde.exterior.form module

class sympde.exterior.form.DifferentialForm(name, index, dim)

Bases: Symbol

Represents a differential form symbol.

Examples

default_assumptions = {}

property dim

property index

name

sympde.exterior.inference module

sympde.exterior.inference.infere_type(expr)

Module contents