A method of tensor.

the magnitude of a tensor in the direction v, the tensor contracted with the unit direction on every index, T_i1…iR v_i1 … v_iR; MATLAB’s directionalMagnitude

Syntax

q = T.directionalMagnitude(v)

At the directions v.

q = T.directionalMagnitude()

The function on the sphere.

Description

Without a direction the function on the sphere, a polynomial of the degree of the rank, antipodal for an even rank.

Input

`T`	tensor
`v`	vector3d or Miller, the directions; left out for the function

Output

`q`	the magnitudes, or an S2FunHarmonic of the direction

Signature

tensor.directionalMagnitude(self, v=None)

Used on

SymmetryAlignment, PiezoElectricity, TensorVisualisation

MATLAB’s tensor.directionalMagnitude

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/tensor.directionalMagnitude_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX

@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.

tensor.directionalMagnitude