DependenceObject

class differential_geometry.dependence.DependenceObject(coordinate_system: _CoordinateSystemBase)

Base class for representing symbolic dependence of tensors on coordinates.

This class serves as the foundation for modeling whether a scalar or tensor field depends on specific coordinate axes in a given coordinate system. It provides interfaces to construct a symbolic proxy of the tensor and to reconstruct a dependence object from a symbolic expression.

Subclasses must implement:

• to_symbolic_proxy(): Create a dummy symbolic tensor/field to represent dependence.

• from_symbolic_proxy(): Reconstruct a dependence object from an existing symbolic proxy.

Parameters:

coordinate_system (_CoordinateSystemBase) – The coordinate system in which the dependence is defined.

Methods

__init__(coordinate_system)	Initialize the base dependence object with a coordinate system.
from_symbolic_proxy(coordinate_system, ...)	Construct a dependence object by analyzing a symbolic proxy.
to_symbolic_proxy()	Construct a symbolic proxy representing this dependence.

Attributes

coordinate_system	The coordinate system associated with this dependence object.
coordinates_ndim	Number of coordinate dimensions in the associated coordinate system.
symbolic_proxy	A symbolic proxy field or tensor that represents coordinate dependence.