differential_geometry.dependence.TensorDependenceMixin.gradient#

TensorDependenceMixin.gradient(*, basis: Literal['covariant', 'contravariant'] = 'covariant', as_field: bool = False)[source]#

Compute the elementwise gradient of the tensor field.

This delegates to element_wise_gradient() from OperatorsMixin, treating each tensor component as an independent scalar function.

Parameters:

  • basis ({"covariant", "contravariant"}, optional) – Whether to return the result in the covariant or contravariant basis.

  • as_field (bool, optional) – Whether to return the raw symbolic result or wrap it as a dependence object.

Returns:

The gradient expression or new dependence object.

Return type:

_GenericFieldType or _DepT