exponentiation algorithm - translation to russian
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  3. exponentiation algorithm

exponentiation algorithm - translation to russian

ALGORITHM
Square-and-multiply algorithm; Binary exponentation; Exponentiating by squaring; Binary exponentiation; Binary square and multiply; Square and multiply; Repeated squaring algorithm; Repeated squaring; Exponentiation by repeated squaring

exponentiation algorithm      
алгоритм возведения в степень, алгоритм экспоненцирования
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

математика

алгоритмический метод

Definition

Euclidean Algorithm

Wikipedia

Exponentiation by squaring

In mathematics and computer programming, exponentiating by squaring is a general method for fast computation of large positive integer powers of a number, or more generally of an element of a semigroup, like a polynomial or a square matrix. Some variants are commonly referred to as square-and-multiply algorithms or binary exponentiation. These can be of quite general use, for example in modular arithmetic or powering of matrices. For semigroups for which additive notation is commonly used, like elliptic curves used in cryptography, this method is also referred to as double-and-add.

https://en.wikipedia.org/wiki/Exponentiation by squaring
What is the Russian for exponentiation algorithm? Translation of &#39exponentiation algorithm&#39 to
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