tensor_variance.h File Reference

Interface for class tensor_variance. More...

#include "SheafSystem/sheaf_dll_spec.h"
#include "SheafSystem/std_bitset.h"
#include "SheafSystem/std_limits.h"

Go to the source code of this file.

Classes
class	fiber_bundle::tensor_variance
	The "type" of a tensor; specifies the degree and the co- or contra-variance for each index of a tensor. More...

Namespaces
	fiber_bundle
	Namespace for the fiber_bundles component of the sheaf system.

Functions
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::contract (const tensor_variance &x0, int xp, int xq)
	The variance of the contration of a tensor with variance x0 on indices xp and xq. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::tensor_product (const tensor_variance &x0, const tensor_variance &x1)
	The variance of the tensor product of tensors with variance x0 and x1. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::hook (const tensor_variance &x0)
	The variance of the hook of a tensor with variance x0. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::star (const tensor_variance &x0, int xdd)
	The variance of the Hodge star of a tensor with variance x0 over a vector space of dimension xdd. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::wedge (const tensor_variance &x0, const tensor_variance &x1)
	The variance of the wedge of a tensor with variance x0 with a tnesor with variance x1. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::raise (const tensor_variance &x0, int xi)
	The variance of the raise of a tensor with variance x0 on index xi. More...
SHEAF_DLL_SPEC tensor_variance	fiber_bundle::lower (const tensor_variance &x0, int xi)
	The variance of the lower of a tensor with variance x0 on index xi. More...

Detailed Description

Interface for class tensor_variance.

Definition in file tensor_variance.h.