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What does H mean?!by jaja1990
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#1
Feb2112, 08:24 AM

P: 26

I have this question in my assignment paper:
8. Sketch the graph of: (a) y = 2x − 2; (b) y = 2H(x − 4) (a) is obvious, but how do I sketch (b)? Does "H" stand for some specific constant? 


#2
Feb2112, 09:10 AM

P: 759

Possibly, the Heaviside step function H(x)
http://mathworld.wolfram.com/HeavisideStepFunction.html 


#3
Feb2112, 10:10 AM

P: 26

The webpage in the link you've given says:
The function is: 0 when x < 0, 1/2 when x = 0, 1 when x > 0. But here: http://simple.wikipedia.org/wiki/Heaviside_Function, defines the function as: 1 when x => 0, 0 when x < 0. To begin with, which should I follow? 


#4
Feb2112, 10:23 AM

P: 759

What does H mean?!
I think that H(0)=0 correponds to an old definition remaining from history and that the standard definition is with H(0)=1/2.
Generally this is of no consequence in partical applications. 


#5
Feb2112, 11:00 PM

P: 4,573




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