IsolatedRoot

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

`IsolatedRoot`

IsolatedRoot()

A certified isolated root in the complex plane.

Name	Description
`center`	Center of the certified complex disk as exact real and imaginary parts.
`index`	Canonical index of this root within its defining polynomial.
`radius`	Radius of the certified complex disk.

IsolatedRoot.center: tuple[Expression, Expression]

Center of the certified complex disk as exact real and imaginary parts.

IsolatedRoot.index: int

Canonical index of this root within its defining polynomial.

IsolatedRoot.radius: Expression

Radius of the certified complex disk.

Name	Description
`__repr__`
`is_positive`	Determine whether this root lies on the positive real axis.
`location`	Resolve and cache the root’s relationship to the coordinate axes.
`refine`	Return a root whose cached enclosure has at most the requested radius.
`to_expression`	Convert this isolated root to an exact expression.

IsolatedRoot.__repr__() -> str

IsolatedRoot.is_positive() -> bool

Determine whether this root lies on the positive real axis.

IsolatedRoot.location() -> RootLocation

Resolve and cache the root’s relationship to the coordinate axes.

IsolatedRoot.refine(tolerance: Float | float | Decimal) -> IsolatedRoot

Return a root whose cached enclosure has at most the requested radius.

IsolatedRoot.to_expression() -> Expression

Convert this isolated root to an exact expression.