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  2. Convolution - Wikipedia

    en.wikipedia.org/wiki/Convolution

    The convolution of two finite sequences is defined by extending the sequences to finitely supported functions on the set of integers. When the sequences are the coefficients of two polynomials, then the coefficients of the ordinary product of the two polynomials are the convolution of the original two

  3. Math.NET Numerics - Wikipedia

    en.wikipedia.org/wiki/Math.NET_Numerics

    Matrix IO classes that read and write matrices from/to Matlab and delimited files. Complex number arithmetic and trigonometry. “Special” routines including the Gamma , Beta , Erf , modified Bessel and Struve functions.

  4. Kernel (image processing) - Wikipedia

    en.wikipedia.org/wiki/Kernel_(image_processing)

    The matrix operation being performed—convolution—is not traditional matrix multiplication, despite being similarly denoted by *. For example, if we have two three-by-three matrices, the first a kernel, and the second an image piece, convolution is the process of flipping both the rows and columns of the kernel and multiplying locally ...

  5. Toeplitz matrix - Wikipedia

    en.wikipedia.org/wiki/Toeplitz_matrix

    The set of Toeplitz matrices is a subspace of the vector space of matrices (under matrix addition and scalar multiplication). Two Toeplitz matrices may be added in O ( n ) {\displaystyle O(n)} time (by storing only one value of each diagonal) and multiplied in O ( n 2 ) {\displaystyle O(n^{2})} time.

  6. Multidimensional discrete convolution - Wikipedia

    en.wikipedia.org/wiki/Multidimensional_discrete...

    This vector length is equivalent to the dimensions of the original matrix output , making converting back to a matrix a direct transformation. Thus, the vector, Z ″ {\displaystyle Z''} , is converted back to matrix form, which produces the output of the two-dimensional discrete convolution.

  7. Cross-correlation - Wikipedia

    en.wikipedia.org/wiki/Cross-correlation

    [12] [13] [clarification needed] After calculating the cross-correlation between the two signals, the maximum (or minimum if the signals are negatively correlated) of the cross-correlation function indicates the point in time where the signals are best aligned; i.e., the time delay between the two signals is determined by the argument of the ...

  8. Today's Wordle Hint, Answer for #1270 on Tuesday, December 10 ...

    www.aol.com/todays-wordle-hint-answer-1270...

    If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1270 ahead. Let's start with a few hints.

  9. Convolution theorem - Wikipedia

    en.wikipedia.org/wiki/Convolution_theorem

    In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution of two functions (or signals) is the product of their Fourier transforms. More generally, convolution in one domain (e.g., time domain ) equals point-wise multiplication in the other domain (e.g., frequency domain ).