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affine transformation

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(mathematics)affine transformation - A linear transformation followed by a translation. Given a matrix M and a vector v,

A(x) = Mx + v

is a typical affine transformation.
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The S-box has a mathematical structure, based on the combination of inversion over a Galois field and an affine transformation.
Report on the Development of the Advanced Encryption Standard (AES) by Roback, Edward / Journal of Research of the National Institute of Standards and Technology
An affine transformation behaves somewhat like a drafting machine that takes in a drawing (or the coordinates of all the points making up the lines in a drawing), then shrinks, enlarges, shifts or skews the picture and, finally, spews out a distorted version of the original.
Packing it in; fractals play an important role in image compression by Peterson, Ivars / Science News
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