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[help] how to prove this equation

  1. Aug 14, 2006 #1
    [​IMG]

    Hello all, how to prove the above equation
    thanks a lot
     
  2. jcsd
  3. Aug 15, 2006 #2

    VietDao29

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    Could you explain what [tex]s, \sigma , \ j, \ \omega[/tex] are? Are they constants, negative or positive?
     
  4. Aug 15, 2006 #3
    hi ViettDao29
    s is a complex
     
  5. Aug 15, 2006 #4
    Oh... so j is our usual i=sqrt(-1) :tongue:
    Use an inequality for integral that absolute value of integral is less than or equal to integral of absolute value. Then consider that

    [tex]
    |e^{-s}| = |e^{- \sigma}| |e^{-j \omega}|

    [/tex]

    Now, what is [itex]|e^{-j \omega}| [/itex] ?
     
    Last edited: Aug 15, 2006
  6. Aug 15, 2006 #5

    benorin

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    Also recall that [tex]\, \left| \int f(x) \, dx\right| \leq \int\left| f(x) \right| \, dx[/tex]
     
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