Description

If sF is a 3x3 S1Fun then mean(sF) returns a 3x3 matrix with the mean values of each function mean(sF, 1) returns a 1x3 S1Fun which contains the pointwise mean values along the first dimension

Syntax

value = mean(sF)
value = mean(sF,'resolution',0.1*degree)
sF = mean(sF, d)

Input

`sF`	`S1Fun`
`d`	`dimension to take the mean value over`

Options

resolution spacing of the quadrature nodes, default 0.3 degree

Output

`value`	`double`
`sF`	`S1Fun`

Example

a scalar valued function

sF = S1FunHandle(@(o) sin(o).^2)
mean(sF)

sF = S1FunHandle
  eval: @(o)sin(o).^2
 
ans =
    0.5000

a vector valued function

sF = S1FunHandle(@(o) [sin(o).^2, cos(2*o).^2, 1+0*o])
mean(sF)
mean(sF,1)

sF = S1FunHandle
  size: 3 × 1
  eval: @(o)[sin(o).^2,cos(2*o).^2,1+0*o]
 
ans =
    0.5000
    0.5000
    1.0000
 
ans = S1FunHandle
  eval: @(o)mean(sF.eval(o),varargin{1}+1)

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/S1Fun.mean.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.

S1Fun.mean