(New page: <math>x(t)=\sqrt{t}</math> <math>E\infty=\int|x(t)|^2dt</math> (from <math>-\infty</math> to <math>\infty</math>) <math>E\infty=\int|\sqrt{t}|^2dt=\int tdt</math>(from <math>0</math>...)
 
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     <math>E\infty=\int|\sqrt{t}|^2dt=\int tdt</math>(from <math>0</math> to <math>\infty</math> due to sqrt limiting to positive Real numbers)
 
     <math>E\infty=\int|\sqrt{t}|^2dt=\int tdt</math>(from <math>0</math> to <math>\infty</math> due to sqrt limiting to positive Real numbers)
 +
    <math>E\infty=.5*t^2|</math>(from <math>0</math> to <math>\infty</math>)
 +
    <math>E\infty=.5(\infty^2-0^2)=\infty</math>

Revision as of 06:42, 17 June 2009

$ x(t)=\sqrt{t} $

$ E\infty=\int|x(t)|^2dt $ (from $ -\infty $ to $ \infty $)

   $ E\infty=\int|\sqrt{t}|^2dt=\int tdt $(from $ 0 $ to $ \infty $ due to sqrt limiting to positive Real numbers)
   $ E\infty=.5*t^2| $(from $ 0 $ to $ \infty $)
   $ E\infty=.5(\infty^2-0^2)=\infty $

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