 difforms - Maple Programming Help

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difforms

 &^
 wedge product

 Calling Sequence &^(expr1, expr2, ...) expr1 &^ expr2 &^ ...

Parameters

 expr, expr, ... - Maple expressions

Description

 • The operator &^ represents the wedge product of differential forms.
 • Elementary simplifications are done on wedge products. For example, if a is a form of odd degree, then &^(a, a) is simplified to 0.
 • The operator &^ will distribute over + whenever possible. The preferred representation of &^ is a sum of wedge products. Otherwise, it may be necessary to apply expand, then simpform to an expression to reduce it to simplest form.

Examples

 > with(difforms):
 > defform(a=1,b=1,c=1,d=2,e=2);
 > &^(a,b,c+&^(d,e));
 ${\mathrm{&^}}{}\left({a}{,}{b}{,}{c}\right){+}{\mathrm{&^}}{}\left({a}{,}{b}{,}{d}{,}{e}\right)$ (1)
 > &^(a,b,c+&^(d,e,&^(a,d)));
 ${\mathrm{&^}}{}\left({a}{,}{b}{,}{c}\right)$ (2)

 See Also