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  2. Bit-reversal permutation - Wikipedia

    en.wikipedia.org/wiki/Bit-reversal_permutation

    Because the bit-reversal permutation is an involution, it may be performed easily in place (without copying the data into another array) by swapping pairs of elements. In the random-access machine commonly used in algorithm analysis, a simple algorithm that scans the indexes in input order and swaps whenever the scan encounters an index whose ...

  3. In-place algorithm - Wikipedia

    en.wikipedia.org/wiki/In-place_algorithm

    Given an array a of n items, suppose we want an array that holds the same elements in reversed order and to dispose of the original. One seemingly simple way to do this is to create a new array of equal size, fill it with copies from a in the appropriate order and then delete a.

  4. Fold (higher-order function) - Wikipedia

    en.wikipedia.org/wiki/Fold_(higher-order_function)

    array_reduce(array, func, initval) array_reduce(array_reverse(array), func, initval) array_reduce(array, func) array_reduce(array_reverse(array), func) When initval is not supplied, NULL is used, so this is not a true foldl1. Before PHP 5.3, initval can only be integer. func is a callback Archived 2020-11-28 at the Wayback Machine. Try array ...

  5. Mellin inversion theorem - Wikipedia

    en.wikipedia.org/wiki/Mellin_inversion_theorem

    The boundedness condition on () can be strengthened if is continuous. If () is analytic in the strip < <, and if | | < | |, where K is a positive constant, then () as defined by the inversion integral exists and is continuous; moreover the Mellin transform of is for at least < <.

  6. Wubbo Ockels - Wikipedia

    en.wikipedia.org/wiki/Wubbo_Ockels

    Wubbo Johannes Ockels (28 March 1946 – 18 May 2014) was a Dutch physicist and astronaut with the European Space Agency who, in 1985, became the first Dutch citizen in space when he flew on STS-61-A as a payload specialist. He later became professor of aerospace engineering at Delft University of Technology.

  7. Duplicate code - Wikipedia

    en.wikipedia.org/wiki/Duplicate_code

    In the past, when memory space was more limited, duplicate code had the additional disadvantage of taking up more space, but nowadays this is unlikely to be an issue. When code with a software vulnerability is copied, the vulnerability may continue to exist in the copied code if the developer is not aware of such copies. [3]

  8. Modular multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Modular_multiplicative_inverse

    The congruence relation, modulo m, partitions the set of integers into m congruence classes. Operations of addition and multiplication can be defined on these m objects in the following way: To either add or multiply two congruence classes, first pick a representative (in any way) from each class, then perform the usual operation for integers on the two representatives and finally take the ...

  9. Poincaré inequality - Wikipedia

    en.wikipedia.org/wiki/Poincaré_inequality

    In the context of metric measure spaces, the definition of a Poincaré inequality is slightly different.One definition is: a metric measure space supports a (q,p)-Poincare inequality for some , < if there are constants C and λ ≥ 1 so that for each ball B in the space, ‖ ‖ ⁡ () ‖ ‖ ().