IEVref:103-03-04ID:
Language:enStatus: Standard
Term: signum
Synonym1:
Synonym2:
Synonym3:
Symbol: sgn
Definition: function of a real variable equal to –1 for all negative values of the variable, +1 for all positive values and 0 for the zero value

Note 1 to entry: The signum can be generalized to complex variables as sgn  z _ = z _ | z _ | MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaKqzaeGaci4CaiaacE gacaGGUbGaaGjbVRWaaWaaaeaacaWG6baaaiabg2da9maalaaabaWa aWaaaeaacaWG6baaaaqaamaaemaabaWaaWaaaeaacaWG6baaaaGaay 5bSlaawIa7aaaaaaa@418F@ for z≠0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaiaadQhacqGHGjsUju gabiaaicdaaaa@393D@ and sgn 0=0 MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWaamGadaGadeaabaGaaqaaaOqaaKqzaeGaci4CaiaacE gacaGGUbGaaGjbVlaaicdakiabg2da9KqzaeGaaGimaaaa@3D13@ .


Publication date:2009-12
Source
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
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