IEC 60050 - International Electrotechnical Vocabulary


IEVref:	103-05-13		ID:
Language:	en		Status: Standard

Term:	local maximum
Synonym1:
Synonym2:
Synonym3:
Symbol:
Definition:	property of a function $f (t)$ for a value t₀ of its argument, characterised by the existence of a positive number ε such that $f (t_{0}) > f (t)$ for any t with $0 < \| t - t_{0} \| < ε$ Note 1 to entry: If the condition $f (t_{0}) > f (t)$ is replaced with $f (t_{0}) \geq f (t)$ , the property may occur for an interval of values of the argument.
Publication date:	2009-12
Source
Replaces:
Internal notes:	2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO 2017-08-25: Added </mstyle> tag. LMO
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5:

f(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iDaiaacMcaaaa@388F@ t0ε f( t 0 )>f(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iDamaaBaaaleaajugabiaaicdaaSqabaGccaGGPaGaeyOpa4JaamOz aiaacIcacaWG0bGaaiykaaaa@3E3E@ t 0<| t− t 0 |<ε MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaKqzafGaaGimaOGaey ipaWZaaqqaaeaadaabcaqaaiaadshacqGHsislcaWG0bWaaSbaaSqa aiaaicdaaeqaaaGccaGLiWoaaiaawEa7aiabgYda8iabew7aLbaa@416D@ Note 1 to entry: If the condition

f (t_{0}) > f (t)

is replaced with

f (t_{0}) \geq f (t)

, the property may occur for an interval of values of the argument.