Line 7: Line 7:
 
<math>E_\infty = \int_{-\infty}^\infty |x(t)|^2\,dt</math>
 
<math>E_\infty = \int_{-\infty}^\infty |x(t)|^2\,dt</math>
  
    <math>=\int_{-\infty}^\infty |\sqrt(t)|^2\,dt</math>
+
    <math>=\int_{-\infty}^\infty |\sqrt(t)|^2\,dt</math>
    <math>=\int_0^\infty |\sqrt(t)|^2\,dt</math>
+
    <math>=\int_0^\infty |\sqrt(t)|^2\,dt</math>

Revision as of 10:37, 21 June 2009

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

$ x(t) = \cos(t) + \jmath\sin(t) $


$ E_\infty = \int_{-\infty}^\infty |x(t)|^2\,dt $

    $ =\int_{-\infty}^\infty |\sqrt(t)|^2\,dt $
    $ =\int_0^\infty |\sqrt(t)|^2\,dt $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett