(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:351-45-21ID:
Language:enStatus: Standard
Term: unit-step function
Synonym1: Heaviside function
[Preferred]
Synonym2:
Synonym3:
Symbol: ε(t)
Definition: function, zero for all negative values of the independent variable time and equal to one for all its positive values, described by

ε( t )= t δ( τ )dτ ={ 0fort<0 1fort>0 MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaGWaaiab=v7aLnaabmaabaGaamiDaaGaayjkaiaawMcaaiabg2da9maapehabaGaaeiTdmaabmaabaGaamiDaaGaayjkaiaawMcaaiaabsgacqaHepaDaSqaaiabgkHiTiabg6HiLcqaaiaadshaa0Gaey4kIipakiabg2da9iaaigdadaGabaabaeqabaGaaGimaiaaykW7caaMc8UaaeiCaiaab+gacaqG1bGaaeOCaiaaykW7caWG0bGaeyipaWJaaGimaiaaykW7aeaacaaIWaGaaGPaVlaaykW7caqGWbGaae4BaiaabwhacaqGYbGaaGPaVlaadshacqGH+aGpcaaIWaaaaiaawUhaaaaa@62F0@ , where δ(t) is the unit impulse

SEE: Figure 4b), IEC 60050-103:2009, 103-03-01, and IEC 60027-6.

Note 1 to entry: The value ε(0) of the unit-step function ε(t) may remain undefined or may be defined according to the context.


Publication date:2013-11
Source:
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 351-45-211_en.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: