verry.autodiff.Dual

class verry.autodiff.Dual(real, imag)

Bases: Scalar, ABC, Generic

Abstract base class for dual numbers.

Parameters:

• real (T)

• imag (Iterable[T])

Variables:

• real (T)

• imag (list[T])

Warning

Users cannot define classes derived from this.

See also

DynDual, IntervalDual

Notes

Instances of this class behave like elements of the dual number ring

\[T[x_1,x_2,\dotsc,x_n]/(x_ix_j\mid i,j\in\{1,2,\dotsc,n\}),\]

where \(n\) is the length of imag.