[help] how to prove this equation

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The discussion centers on proving a mathematical equation involving complex variables. Participants clarify that 's' represents a complex number, with 'j' being the imaginary unit equivalent to 'i'. They suggest using an inequality for integrals to establish bounds, specifically noting that the absolute value of an integral is less than or equal to the integral of the absolute value. The conversation also touches on the properties of the exponential function, particularly the expression |e^{-s}|. Overall, the thread emphasizes the need for a deeper understanding of the components involved in the equation.
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Hello all, how to prove the above equation
thanks a lot
 
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Could you explain what s, \sigma , \ j, \ \omega are? Are they constants, negative or positive?
 
hi ViettDao29
s is a complex
 
Oh... so j is our usual i=sqrt(-1) :-p
Use an inequality for integral that absolute value of integral is less than or equal to integral of absolute value. Then consider that

<br /> |e^{-s}| = |e^{- \sigma}| |e^{-j \omega}|<br /> <br />

Now, what is |e^{-j \omega}| ?
 
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Also recall that \, \left| \int f(x) \, dx\right| \leq \int\left| f(x) \right| \, dx
 

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