tripledelta: A tensor with entry 1 if and only if three indices are equal

In tensorA: Advanced Tensor Arithmetic with Named Indices

A tensor with entry 1 if and only if three indices are equal

Description

The tensor mapping a tensor of dimension d to its corresponding diagonal tensor of dimension c(d',d*)

Usage

tripledelta.tensor(d,mark1="'",mark2="*",dn=NULL)

Arguments

d	the first of three dimension vectors
mark1	the mark for the second dimension vectors
mark2	the mark for the third dimension vectors
dn	list of character vectors, optional dimnames

Details

The tripledelta is the tensor mapping a tensor to a corresponding diagonal tensor.

Value

The tensor given by:

E_{i_1\ldots i_n j_1\ldots j_n k_1\ldots k_n}=\delta_{i_1j_1}\delta_{i_1k_1} \ldots \delta_{i_nj_n}\delta_{i_nk_1}

Author(s)

K. Gerald van den Boogaart

See Also

delta.tensor, diag.tensor

Examples

tripledelta.tensor(3)

tensorA documentation built on June 25, 2024, 1:16 a.m.