(Table of some Laplace transform)
(Table of some Laplace transform)
Line 6: Line 6:
 
*<math> r(t)        \rightarrow          \frac{1}{s^2} </math>
 
*<math> r(t)        \rightarrow          \frac{1}{s^2} </math>
 
*<math> t^{n} u(t)  \rightarrow          \frac{n!}{s^{n+1}} </math>
 
*<math> t^{n} u(t)  \rightarrow          \frac{n!}{s^{n+1}} </math>
 +
*<math> e^{-at}      \rightarrow          \frac{1}{s+a} </math>
 +
*<math> te^{-at}    \rightarrow          \frac{1}{(s+a)^{2}} </math>

Revision as of 15:06, 24 November 2008

Table of some Laplace transform

  • $ f(t) \rightarrow F(s) $
  • $ K \delta(t) \rightarrow K $
  • $ K u(t) \rightarrow \frac{K}{s} $
  • $ r(t) \rightarrow \frac{1}{s^2} $
  • $ t^{n} u(t) \rightarrow \frac{n!}{s^{n+1}} $
  • $ e^{-at} \rightarrow \frac{1}{s+a} $
  • $ te^{-at} \rightarrow \frac{1}{(s+a)^{2}} $

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang