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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``more general definition''
by MFH on 2008-09-01 16:34:40 |
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| The definition should be generalized to functions not defined on the whole of R, but on a symmetric set; think e.g. of the tan() function,
or of inverse trigonometric functions such as arcsin().
Two other possibilities for generalizations would be:
a) even / odd symmetry w.r.t. a point other than the origin
(where even symmetry is given when the graph is symmetric about
a parallel to the y-axis, and odd symmetry refers to a graph
symmetric about a point (x,y=f(x)).
b) functions defined on, and taking values in, arbitrary groups
(cf. SymmetricSet.html). |
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