mixpar - Maple Help

liesymm

 mixpar
 order the mixed partials

 Calling Sequence mixpar(expr)

Parameters

 expr - term involving diff or Diff

Description

 • This routine is part of the liesymm package and is loaded via with(liesymm).
 • Given an expression involving Diff or diff, expr reorder the partials to an address'' ordering so that mixed partials can be recognized as equivalent.

Examples

 > $\mathrm{with}\left(\mathrm{liesymm}\right):$$\mathrm{setup}\left(x,y,z\right):$
 > $\mathrm{mixpar}\left(\mathrm{Diff}\left(f\left(x,y\right),x,y\right)\right)$
 $\frac{{\partial }}{{\partial }{y}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left(\frac{{\partial }}{{\partial }{x}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{f}{}\left({x}{,}{y}\right)\right)$ (1)
 > $\mathrm{mixpar}\left(\mathrm{Diff}\left(\mathrm{Diff}\left(f\left(x,y\right),x\right),y\right)\right)$
 $\frac{{\partial }}{{\partial }{y}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left(\frac{{\partial }}{{\partial }{x}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{f}{}\left({x}{,}{y}\right)\right)$ (2)
 > $\mathrm{mixpar}\left(\mathrm{Diff}\left(\mathrm{Diff}\left(f\left(x,y\right),y\right),x\right)\right)$
 $\frac{{\partial }}{{\partial }{y}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left(\frac{{\partial }}{{\partial }{x}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{f}{}\left({x}{,}{y}\right)\right)$ (3)