gemseo.disciplines.taylor module#

A discipline to create Taylor polynomials from another discipline.

class TaylorDiscipline(discipline, input_data=mappingproxy({}), name='')[source]#

The first-order polynomial of a discipline.

The first-order polynomial of a function \(f\) at an expansion point \(a\) is \(f(a)+\sum_{i=1}^d\frac{\partial f(a)}{\partial x_i}(x_i-a_i)\).

Initialize self. See help(type(self)) for accurate signature.

Parameters:

discipline (Discipline) -- The discipline to be approximated by a Taylor polynomial.
input_data (Mapping[str, NDArray[float]]) --
The point of expansion. If empty, use the default inputs of discipline.

By default it is set to {}.
name (str) --
The name of the discipline. If empty, use the name of the class.

By default it is set to "".

Raises: