Revision as of 11:30, 21 June 2024 edit D.Lazard (talk \| contribs) Extended confirmed users 35,618 edits →Complex-valued functions: fixing the section (see talk) ← Previous edit		Revision as of 11:34, 21 June 2024 edit undo D.Lazard (talk \| contribs) Extended confirmed users 35,618 edits →Complex-valued functions: typo Next edit →
Line 166: :<math>f(x)=\overline{f(-x)} \quad \text{for all } x \in \mathbb{R}</math> A complex valued function is conjugate symmetric ~~is and only~~ if and only if its [[real part]] is an even function and its [[imaginary part]] is an odd function. A typical example of a conjugate symmetric function is the [[cis function]] Line 176: :<math>f(x)=-\overline{f(-x)} \quad \text{for all } x \in \mathbb{R}</math> A complex valued function is conjugate antisymmetric ~~is and only~~ if and only if its [[real part]] is an odd function and its [[imaginary part]] is an even function. ===Finite length sequences===

Even and odd functions: Difference between revisions