IntegrationResult

Symbolica documentation for getting started, symbolic expressions, numerical evaluation, pattern matching, and APIs in Python and Rust.

IntegrationResult

class IntegrationResult

An inspectable exact integration result.

Use expression to materialize the collected terms as a native Symbolica expression. The direct integrate function performs this step for you. Instances are immutable and support copy.copy and copy.deepcopy.

Attributes

Name	Description
algebraic_letter_count	Number of formal quadratic-root pairs introduced by integration.
algebraic_letters	Formal quadratic-root definitions introduced by the integration.
expression	Materialize all collected terms as one normalized Symbolica expression.
indeterminate_count	Number of exact Symbolica indeterminates in the result context.
indeterminates	Symbolica indeterminates in the exact polynomial context.
integration_variables	Integration variables in the order in which they were integrated.
is_zero	Whether the exact result is zero.
term_count	Number of collected coefficient/period-product terms.
variable_count	Number of integration variables in the completed schedule.

algebraic_letter_count

IntegrationResult.algebraic_letter_count: builtins.int

Number of formal quadratic-root pairs introduced by integration.

algebraic_letters

IntegrationResult.algebraic_letters: builtins.list[AlgebraicLetter]

Formal quadratic-root definitions introduced by the integration.

expression

IntegrationResult.expression: Expression

Materialize all collected terms as one normalized Symbolica expression.

indeterminate_count

IntegrationResult.indeterminate_count: builtins.int

Number of exact Symbolica indeterminates in the result context.

indeterminates

IntegrationResult.indeterminates: builtins.list[Expression]

Symbolica indeterminates in the exact polynomial context.

integration_variables

IntegrationResult.integration_variables: builtins.list[Expression]

Integration variables in the order in which they were integrated.

is_zero

IntegrationResult.is_zero: builtins.bool

Whether the exact result is zero.

term_count

IntegrationResult.term_count: builtins.int

Number of collected coefficient/period-product terms.

variable_count

IntegrationResult.variable_count: builtins.int

Number of integration variables in the completed schedule.

Methods

Name	Description
__copy__
__deepcopy__
__len__	Return the number of collected coefficient/period-product terms.
__repr__

__copy__

IntegrationResult.__copy__() -> IntegrationResult

__deepcopy__

IntegrationResult.__deepcopy__(_memo: typing.Any) -> IntegrationResult

__len__

IntegrationResult.__len__() -> builtins.int

Return the number of collected coefficient/period-product terms.

__repr__

IntegrationResult.__repr__() -> builtins.str