difforms
&^
wedge product
Calling Sequence
Parameters
Description
Examples
&^(expr1, expr2, ...)
expr1 &^ expr2 &^ ...
expr[1], expr[2], ...
-
Maple expressions
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.
withdifforms:
defforma=1,b=1,c=1,d=2,e=2
`&^`a,b,c+d&ˆe
&^a,b,c+&^a,b,d,e
`&^`a,b,c+`&^`d,e,a&ˆd
&^a,b,c
See Also
simpform
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