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  2. Move-to-front transform - Wikipedia

    en.wikipedia.org/wiki/Move-to-front_transform

    However, after encoding a byte, that value is moved to the front of the list before continuing to the next byte. An example will shed some light on how the transform works. Imagine instead of bytes, we are encoding values in a–z. We wish to transform the following sequence: bananaaa By convention, the list is initially ...

  3. List of common coordinate transformations - Wikipedia

    en.wikipedia.org/wiki/List_of_common_coordinate...

    This means that the inverse function will only give values in the domain of the function, but restricted to a single period. Hence, the range of the inverse function is only half a full circle. Note that one can also use r = x 2 + y 2 θ ′ = 2 arctan ⁡ y x + r {\displaystyle {\begin{aligned}r&={\sqrt {x^{2}+y^{2}}}\\\theta '&=2\arctan ...

  4. List of algorithms - Wikipedia

    en.wikipedia.org/wiki/List_of_algorithms

    Used in Python 2.3 and up, and Java SE 7. Insertion sorts Insertion sort: determine where the current item belongs in the list of sorted ones, and insert it there; Library sort; Patience sorting; Shell sort: an attempt to improve insertion sort; Tree sort (binary tree sort): build binary tree, then traverse it to create sorted list

  5. Inverse transform sampling - Wikipedia

    en.wikipedia.org/wiki/Inverse_transform_sampling

    Inverse transform sampling (also known as inversion sampling, the inverse probability integral transform, the inverse transformation method, or the Smirnov transform) is a basic method for pseudo-random number sampling, i.e., for generating sample numbers at random from any probability distribution given its cumulative distribution function.

  6. Comparison of programming languages (associative array)

    en.wikipedia.org/wiki/Comparison_of_programming...

    The user can search for elements in an associative array, and delete elements from the array. The following shows how multi-dimensional associative arrays can be simulated in standard AWK using concatenation and the built-in string-separator variable SUBSEP:

  7. Fast Walsh–Hadamard transform - Wikipedia

    en.wikipedia.org/wiki/Fast_Walsh–Hadamard...

    Python example code [ edit ] import math def fwht ( a ) -> None : """In-place Fast Walsh–Hadamard Transform of array a.""" assert math . log2 ( len ( a )) . is_integer (), "length of a is a power of 2" h = 1 while h < len ( a ): # perform FWHT for i in range ( 0 , len ( a ), h * 2 ): for j in range ( i , i + h ): x = a [ j ] y = a [ j + h ] a ...

  8. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    When R is a power of a small positive integer b, N′ can be computed by Hensel's lemma: The inverse of N modulo b is computed by a naïve algorithm (for instance, if b = 2 then the inverse is 1), and Hensel's lemma is used repeatedly to find the inverse modulo higher and higher powers of b, stopping when the inverse modulo R is known; N′ is ...

  9. Chirp Z-transform - Wikipedia

    en.wikipedia.org/wiki/Chirp_Z-transform

    where A is the complex starting point, W is the complex ratio between points, and M is the number of points to calculate. Like the DFT, the chirp Z-transform can be computed in O(n log n) operations where = (,). An O(N log N) algorithm for the inverse chirp Z-transform (ICZT) was described in 2003, [4] [5] and in 2019. [6]