the three derivatives of a coefficient vector, on the rows for the left side and on the columns for the right; the degree is preserved

Syntax

D = differentiate(SO3F._fhat)

The left derivatives, one column each.

D = differentiate(SO3F._fhat, side='right')

The right derivatives.

Description

The three columns are the coefficients of the derivatives along the x, y and z axes of the tangent space, together the coefficient matrix of the gradient field. The coefficients are in the port’s internal convention, those of SO3F._fhat, not MATLAB’s fhat. MATLAB has no counterpart.

Input

fhat ndarray, deg2dim(L + 1) Wigner coefficients

Keywords

keyword default description
side 'left' ‘left’ or ‘right’, the tangent space

Output

D ndarray of shape (deg2dim(L + 1), 3)

See also

SO3FunHarmonic.grad, div, curl

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/differentiate_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.