Vipul: Created page with "{{function property}} ==Definition== An '''odd function''' is a function $f$ defined on a subset of the reals satisfying the following two conditions: # The [[d..."

2011-08-28T12:48:12Z

Created page with "{{function property}} ==Definition== An '''odd function''' is a function <math>f</math> defined on a subset of the reals satisfying the following two conditions: # The [[d..."

New page

{{function property}}

==Definition==

An '''odd function''' is a [[function]] <math>f</math> defined on a subset of the reals satisfying the following two conditions:

# The [[domain]] of the function is symmetric about 0, i.e., for every <math>x</math> in the domain, <math>-x</math> is also in the domain.
# For every <math>x</math> in the domain, we have the following condition:

<math>\! f(-x) = -f(x)</math>

==Related notions==

* [[Even function]]
* [[Even part]]
* [[Odd part]]

Odd function - Revision history

Vipul: Created page with "{{function property}} ==Definition== An '''odd function''' is a function f defined on a subset of the reals satisfying the following two conditions: # The [[d..."

Vipul: Created page with "{{function property}} ==Definition== An '''odd function''' is a function $f$ defined on a subset of the reals satisfying the following two conditions: # The [[d..."