Convert a Laplace Function to image & real part

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baby_1
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Hello
if our function is
gif.gif

how it convert to ?
6670283600_1352894986.jpg
 
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That denominator is ##\omega(-\omega T + j)##. Do you see why? Just multiply the numerator and denominator by ##(-\omega T - j)## and put it in ##a+bj## form. I assume those squiggles are squared symbols, as in ##T^2##.