Unit step function Definition and 54 Threads

  1. H

    Learning Integration with unit step function like u(x - a)

    hello maths experts is the following true? http://img9.imageshack.us/img9/4596/int15oe.jpg graphically, this is how i view it http://img9.imageshack.us/img9/179/int28ut.jpg
    • hanhao
    • Thread
    • Function Integration Step function Unit Unit step function
    • Replies: 6
    • Forum: Calculus
  2. P

    Need help with Impulse function and unit step function at singularity

    I have some trouble wrapping my head around singularity One of assignment question is to show that the unit function is not defined at 0. To do that, I need to show \lim_{\Delta\to0}[u_{\Delta}(t)\delta(t)]=0 \lim_{\Delta\to0}[u_{\Delta}(t)\delta_{\Delta}(t)]=\frac{1}{2}\delta(t)...
    • phoenixy
    • Thread
    • Function Impulse Singularity Step function Unit Unit step function
    • Replies: 6
    • Forum: Differential Equations
  3. S

    Unit Step Function and Laplace Transforms

    Hey I was wondering if someone would check my work on this problem: Note: {\cal L} = Laplace {\cal U} = Unit Step Function {\cal L} \{ \cos(2t) \,\,\, {\cal U} (t - \pi)\} =e^{-\pi s} {\cal L} \{ \cos(2(t + \pi)) \} =e^{-\pi s} {\cal L} \{ \cos(2t + 2\pi) \} =e^{-\pi s}...
  4. W

    Derivative of unit step function

    [SOLVED] Derivative of unit step function How does one do this, for example x= e^(-3t)u(t-4); how do you get x' ??
    • Will
    • Thread
    • Derivative Function Step function Unit Unit step function
    • Replies: 6
    • Forum: General Math