p-time algorithm - vertaling naar Engels
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p-time algorithm - vertaling naar Engels

INTEGER FACTORIZATION ALGORITHM
William's p plus 1 algorithm; William p plus 1 algorithm; Williams' p plus 1 algorithm; Williams' p+1 algorithm; P+1; Williams' p + 1 algorithm

p-time algorithm      
(polynomial time algorithm) алгоритм полиномиального времени
algorithm         
  • Alan Turing's statue at [[Bletchley Park]]
  • The example-diagram of Euclid's algorithm from T.L. Heath (1908), with more detail added. Euclid does not go beyond a third measuring and gives no numerical examples. Nicomachus gives the example of 49 and 21: "I subtract the less from the greater; 28 is left; then again I subtract from this the same 21 (for this is possible); 7 is left; I subtract this from 21, 14 is left; from which I again subtract 7 (for this is possible); 7 is left, but 7 cannot be subtracted from 7." Heath comments that "The last phrase is curious, but the meaning of it is obvious enough, as also the meaning of the phrase about ending 'at one and the same number'."(Heath 1908:300).
  • "Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction). Derived from Knuth 1973:2–4. Depending on the two numbers "Inelegant" may compute the g.c.d. in fewer steps than "Elegant".
  • 1=IF test THEN GOTO step xxx}}, shown as diamond), the unconditional GOTO (rectangle), various assignment operators (rectangle), and HALT (rectangle). Nesting of these structures inside assignment-blocks results in complex diagrams (cf. Tausworthe 1977:100, 114).
  • A graphical expression of Euclid's algorithm to find the greatest common divisor for 1599 and 650 <syntaxhighlight lang="text" highlight="1,5"> 1599 = 650×2 + 299 650 = 299×2 + 52 299 = 52×5 + 39 52 = 39×1 + 13 39 = 13×3 + 0</syntaxhighlight>
SEQUENCE OF INSTRUCTIONS TO PERFORM A TASK
Algorithmically; Computer algorithm; Properties of algorithms; Algorithim; Algoritmi de Numero Indorum; Algoritmi de numero indorum; Algoritmi De Numero Indorum; Алгоритм; Algorithem; Software logic; Computer algorithms; Encoding Algorithm; Naive algorithm; Naïve algorithm; Algorithm design; Algorithm segment; Algorithmic problem; Algorythm; Rule set; Continuous algorithm; Algorithms; Software-based; Algorithmic method; Algorhthym; Algorthym; Algorhythms; Formalization of algorithms; Mathematical algorithm; Draft:GE8151 Problem Solving and Python Programming; Computational algorithms; Optimization algorithms; Algorithm classification; History of algorithms; Patented algorithms; Algorithmus
algorithm noun math. алгоритм algorithm validation - проверка правильности алгоритма
algorithmic method         
  • Alan Turing's statue at [[Bletchley Park]]
  • The example-diagram of Euclid's algorithm from T.L. Heath (1908), with more detail added. Euclid does not go beyond a third measuring and gives no numerical examples. Nicomachus gives the example of 49 and 21: "I subtract the less from the greater; 28 is left; then again I subtract from this the same 21 (for this is possible); 7 is left; I subtract this from 21, 14 is left; from which I again subtract 7 (for this is possible); 7 is left, but 7 cannot be subtracted from 7." Heath comments that "The last phrase is curious, but the meaning of it is obvious enough, as also the meaning of the phrase about ending 'at one and the same number'."(Heath 1908:300).
  • "Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction). Derived from Knuth 1973:2–4. Depending on the two numbers "Inelegant" may compute the g.c.d. in fewer steps than "Elegant".
  • 1=IF test THEN GOTO step xxx}}, shown as diamond), the unconditional GOTO (rectangle), various assignment operators (rectangle), and HALT (rectangle). Nesting of these structures inside assignment-blocks results in complex diagrams (cf. Tausworthe 1977:100, 114).
  • A graphical expression of Euclid's algorithm to find the greatest common divisor for 1599 and 650 <syntaxhighlight lang="text" highlight="1,5"> 1599 = 650×2 + 299 650 = 299×2 + 52 299 = 52×5 + 39 52 = 39×1 + 13 39 = 13×3 + 0</syntaxhighlight>
SEQUENCE OF INSTRUCTIONS TO PERFORM A TASK
Algorithmically; Computer algorithm; Properties of algorithms; Algorithim; Algoritmi de Numero Indorum; Algoritmi de numero indorum; Algoritmi De Numero Indorum; Алгоритм; Algorithem; Software logic; Computer algorithms; Encoding Algorithm; Naive algorithm; Naïve algorithm; Algorithm design; Algorithm segment; Algorithmic problem; Algorythm; Rule set; Continuous algorithm; Algorithms; Software-based; Algorithmic method; Algorhthym; Algorthym; Algorhythms; Formalization of algorithms; Mathematical algorithm; Draft:GE8151 Problem Solving and Python Programming; Computational algorithms; Optimization algorithms; Algorithm classification; History of algorithms; Patented algorithms; Algorithmus
<p style="margin-left:40px">математикаp> <p style="margin-left:60px">алгоритмический методp>

Definitie

Р

восемнадцатая буква современного русского алфавита; несколько видоизменённая буква Р ("рцы") кирилловского алфавита, восходящая к букве ρ греческого унциала. В глаголице - как бы перевёрнутая буква Ь. В кирилловском и глаголическом алфавитах числовое значение 100. Обозначает смычно-дрожащий переднеязычный нёбный согласный [р]. Фонологически различаются палатализованный (мягкий) [р'] (перед буквами "я", "ю", "и", "е", "ь" и в сочетании с последующим мягким согласным) и непалатализованный (твёрдый) [р] (перед буквами "а", "у", "ы", "э", на конце слова и в сочетании с последующим твёрдым согласным).
Toon meer definities

Wikipedia

Williams's p + 1 algorithm

In computational number theory, Williams's p + 1 algorithm is an integer factorization algorithm, one of the family of algebraic-group factorisation algorithms. It was invented by Hugh C. Williams in 1982.

It works well if the number N to be factored contains one or more prime factors p such that p + 1 is smooth, i.e. p + 1 contains only small factors. It uses Lucas sequences to perform exponentiation in a quadratic field.

It is analogous to Pollard's p − 1 algorithm.

https://en.wikipedia.org/wiki/Williams's p + 1 algorithm
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