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Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
Fourier series of sine wave?
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
What is harmonic as applied to fourier series?
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.
In Fourier transformation and Fourier series which one follows periodic nature?
The Fourier series can be used to represent any periodic signal using a summation of sines and cosines of different frequencies and amplitudes. Since sines and cosines are periodic, they must form another periodic signal. Thus, the Fourier series is period in nature. The Fourier series is expanded then, to the complex plane, and can be applied to non-periodic signals. This gave rise to the Fourier transform, which represents a signal in the frequency-domain. See links.
What is fourier series?
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.
In Mathematics what is meant by the Fourier series?
The Fourier series is a specific type of infinite mathematical series involving trigonometric functions that are used in applied mathematics. It makes use of the relationships of the sine and cosine functions.
Can a discontinuous function can be developed in the Fourier series?
Yes. For example: A square wave has a Fourier series.
What has the author Edward Payson Manning written?
Edward Payson Manning has written: 'On the represenation of a function by a trigonometric series ..' -- subject(s): Fourier series
What is fourier analysis?
Fourier analysis began with trying to understand when it was possible to represent general functions by sums of simpler trigonometric functions. The attempt to understand functions (or other objects) by breaking them into basic pieces that are easier to understand is one of the central themes in Fourier analysis. Fourier analysis is named after Joseph Fourier who showed that representing a function by a trigonometric series greatly simplified the study of heat propagation. If you want to find out more, look up fourier synthesis and the fourier transform.
What is the Fourier Series for x sinx from -pi to pi?
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.
What are Joseph Fourier's works?
Fourier series and the Fourier transform
What are the limitation of fourier series?
what are the limitations of forier series over fourier transform
What is the history of fourier series?
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.
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
How do you find the inverse Fourier transform from Fourier series coefficients?
no
What is physical significance of Fourier series?
Fourier series is series which help us to solve certain physical equations effectively
What is the difference between fourier series and discrete fourier transform?
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.
