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====== Function CONJUGATE ====== ====Syntax==== * **conjugate** //number// → //conjugate// ====Arguments and Values==== * //number// - a //[[CL:Glossary:number]]//. * //conjugate// - a //[[CL:Glossary:number]]//. ====Description==== Returns the complex conjugate of //number//. The conjugate of a //[[CL:Glossary:real]]// number is itself. ====Examples==== <blockquote> (conjugate #c(0 -1)) <r>#C(0 1)</r> (conjugate #c(1 1)) <r>#C(1 -1)</r> (conjugate 1.5) <r>1.5</r> (conjugate #C(3/5 4/5)) <r>#C(3/5 -4/5)</r> (conjugate #C(0.0D0 -1.0D0)) <r>#C(0.0D0 1.0D0)</r> (conjugate 3.7) <r>3.7</r> </blockquote> ====Side Effects==== None. ====Affected By==== None. ====Exceptional Situations==== None. ====See Also==== None. ====Notes==== For a //[[CL:Glossary:complex]]// number ''z'': <blockquote> (conjugate z) ≡ ([[CL:Functions:complex]] ([[CL:Functions:realpart]] z) ([[CL:Functions:math-equal|-]] ([[CL:Functions:imagpart]] z))) </blockquote> \issue{REAL-NUMBER-TYPE:X3J13-MAR-89}