dichotomic algorithm - translation to ρωσικά
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dichotomic algorithm - translation to ρωσικά

SPLITTING OF A WHOLE INTO EXACTLY TWO NON-OVERLAPPING PARTS
Dichotomic; Dichotomies; Dichotomous; Dichtomy; Dichotomously

dichotomic algorithm      
дихотомический алгоритм
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

Βικιπαίδεια

Dichotomy

A dichotomy is a partition of a whole (or a set) into two parts (subsets). In other words, this couple of parts must be

  • jointly exhaustive: everything must belong to one part or the other, and
  • mutually exclusive: nothing can belong simultaneously to both parts.

If there is a concept A, and it is split into parts B and not-B, then the parts form a dichotomy: they are mutually exclusive, since no part of B is contained in not-B and vice versa, and they are jointly exhaustive, since they cover all of A, and together again give A.

Such a partition is also frequently called a bipartition.

The two parts thus formed are complements. In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.

Treating continuous variables or multicategorical variables as binary variables is called dichotomization. The discretization error inherent in dichotomization is temporarily ignored for modeling purposes.

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