Point-value representation of a polynomial example

1. What is point-value representation of a polynomial?
2. How do you calculate FFT of a signal?
3. What is FFT in codeforces?
4. How is FFT used in multiplication?

What is point-value representation of a polynomial?

A point-value representation of a polynomial A(x) of degree-bound n is a set of n point-value pairs. (x₀, y₀), (x₁, y₁), . . ., ( x_n-1, y_n-1) such that all of the x_k are distinct and. y_k = A(x_k)

How do you calculate FFT of a signal?

The FFT operates by decomposing an N point time domain signal into N time domain signals each composed of a single point. The second step is to calculate the N frequency spectra corresponding to these N time domain signals. Lastly, the N spectra are synthesized into a single frequency spectrum. separate stages.

What is FFT in codeforces?

Fast Fourier Transform and variations of it - Codeforces. Catalog.

How is FFT used in multiplication?

The Strassen FFT algorithm for multiplying large integers

According to the convolution theorem, if c is the convolution of two input vectors a and b, c = a·b, then the Discrete Fourier Transform (DFT) of c is equal to the pairwise multiplication of the DFT transform of each input vector, DFT(c) = DFT(a)DFT(b).