no
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.
yes a discontinuous function can be developed in a fourier series
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
Yes. For example: A square wave has a Fourier series.
Yes, a Fourier series can be used to approximate a function with some discontinuities. This can be proved easily.
no every function cannot be expressed in fourier series... fourier series can b usd only for periodic functions.
Yes it can.
A Fourier series is a set of harmonics at frequencies f, 2f, 3f etc. that represents a repetitive function of time that has a period of 1/f. A Fourier transform is a continuous linear function. The spectrum of a signal is the Fourier transform of its waveform. The waveform and spectrum are a Fourier transform pair.
When we do a Fourier transformation of a function we get the primary term which is the fundamental frequency and amplitude of the Fourier series. All the other terms, with higher frequencies and lower amplitudes, are the harmonics.
Consider a periodic function, generally defined by f(x+t) = f(x) for some t. Any periodic function can be written as an infinite sum of sines and cosines. This is called a Fourier series.
Fourier series and the Fourier transform
The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
what are the limitations of forier series over fourier transform