sinc^2(w)
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To find the inverse Fourier transform from Fourier series coefficients, you first need to express the Fourier series coefficients in terms of the complex exponential form. Then, you can use the inverse Fourier transform formula, which involves integrating the product of the Fourier series coefficients and the complex exponential function with respect to the frequency variable. This process allows you to reconstruct the original time-domain signal from its frequency-domain representation.
tanx = 2*(sin2x - sin4x + sin6x - ... )However, be warned that this series is very slow to converge.
The word sine, not sinx is the trigonometric function of an angle. The answer to the math question what is the four series for x sine from -pi to pi, the answer is 24.3621.
the main application of fourier transform is the changing a function from frequency domain to time domain, laplaxe transform is the general form of fourier transform .
Oh, dude, Fourier series is like this mathematical tool that helps break down periodic functions into a sum of sine and cosine functions. It's named after this French mathematician, Fourier, who was probably like, "Hey, let's make math even more confusing." But hey, it's super useful in signal processing and stuff, so thanks, Fourier, I guess.