A method of SO3FunHarmonic.

the mean of every function; with an axis, MATLAB’s mean(SO3F, d), the function that is the mean along that axis of the list

Syntax

value = mean(SO3F)

The mean value of every function.

SO3F = mean(SO3F, axis=0)

The pointwise mean along the first axis of a list.

Description

The mean value is the first Wigner coefficient, 1/(8 pi^2) times the integral over SO(3).

Input

SO3F SO3FunHarmonic, a single function or a list

Keywords

keyword default description
axis None the axis of the list to average the functions along; MATLAB’s d, counted from 0

Output

value float, or an array of the shape of the list
SO3F SO3FunHarmonic, with axis given

See also

SO3FunHarmonic.sum, SO3FunHarmonic.norm

MATLAB’s SO3FunHarmonic.mean

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/SO3FunHarmonic.mean_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.