Step Function / Heavenside help

[gbacsf]

Is this the proper way to write the Heavenside function for the following conditions:

g(t) = t if t <= 8pi
8pi if t > 8pi

Heavenside: g(t) = t + (8pi - t)*U(t-8pi)

 

[quantumdude]

Is this the proper way to write the Heavenside function for the following conditions:

It's "Heaviside" actually. The correct spelling will come in particularly handy if you try to do these problems on Maple.

g(t) = t if t <= 8pi
8pi if t > 8pi

Heavenside: g(t) = t + (8pi - t)*U(t-8pi)

Almost. You don't need the "<=" sign above. The unit step function is actually defined to be 1/2 at t=0.

http://mathworld.wolfram.com/HeavisideStepFunction.html