Revision as of 08:58, 6 March 2017 edit 86.130.177.118 (talk) No edit summary ← Previous edit		Revision as of 01:15, 1 August 2017 edit undo Matthiaspaul (talk \| contribs) Autopatrolled, Extended confirmed users, Page movers, New page reviewers, Pending changes reviewers, Rollbackers, Template editors 138,009 edits →Lemniscate sine and cosine functions: CE, added Latin names and anchors for redirects Next edit →
Line 14: The case {{math\|''g''<sub>2</sub> {{=}} ''a''}}, {{math\|''g''<sub>3</sub> {{=}} 0}} may be handled by a scaling transformation. However, this may involve complex numbers. If it is desired to remain within real numbers, there are two cases to consider: {{math\|''a'' > 0}} and {{math\|''a'' < 0}}. The period [[parallelogram]] is either a [[square]] or a [[rhombus]]. =={{anchor\|sl\|cl}}Lemniscate sine and cosine functions== The [['''lemniscate]] sine''' (Latin: ''sinus lemniscatus'') and '''lemniscate cosine''' (Latin: ''cosinus lemniscatus'') functions '''{{math\|sinlemn}}''' aka '''{{math\|sl}}''' and '''{{math\|coslemn}}''' aka '''{{math\|cl}}''' are analogues of the usual [[sine]] and [[cosine]] functions, with a circle replaced by a [[lemniscate]]. They are defined by :<math>\operatorname{sl}(r)=s</math> where

Lemniscate elliptic functions: Difference between revisions