Convert a Laplace Function to image & real part

AI Thread Summary
To convert a Laplace function with a denominator of ω(-ωT + j) into the form a + bj, multiply both the numerator and denominator by (-ωT - j). This manipulation simplifies the expression and allows for separation into real and imaginary parts. The discussion assumes that the squiggles represent squared symbols, specifically T^2. Understanding this conversion is essential for analyzing the function's behavior in the complex plane. Properly formatting the function aids in further calculations and interpretations.
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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##.
 
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