quadratic residue technique - перевод на русский
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quadratic residue technique - перевод на русский

IN NUMBER THEORY CONCERNING PRIMES
Euler criterion; Euler's quadratic residue theorem; Euler quadratic residue theorem; Euler's Criterion
Найдено результатов: 847
quadratic residue technique      
метод квадратичных вычетов
quadratic residue         
INTEGER THAT IS A PERFECT SQUARE MODULO SOME INTEGER
Quadratic residues; Quadratic non-residue; Quadratic congruences; Quadratic congruence; Modular square root; Square root modulo n; Square root mod n; Quadratic residuosity; Quadratic nonresidue; Least quadratic non-residue; Quadratic excess

общая лексика

квадратичный вычет

quadratic congruence         
INTEGER THAT IS A PERFECT SQUARE MODULO SOME INTEGER
Quadratic residues; Quadratic non-residue; Quadratic congruences; Quadratic congruence; Modular square root; Square root modulo n; Square root mod n; Quadratic residuosity; Quadratic nonresidue; Least quadratic non-residue; Quadratic excess
квадратичное сравнение
quadratic residue         
INTEGER THAT IS A PERFECT SQUARE MODULO SOME INTEGER
Quadratic residues; Quadratic non-residue; Quadratic congruences; Quadratic congruence; Modular square root; Square root modulo n; Square root mod n; Quadratic residuosity; Quadratic nonresidue; Least quadratic non-residue; Quadratic excess
квадратичный вычет
quadratic nonresidue         
INTEGER THAT IS A PERFECT SQUARE MODULO SOME INTEGER
Quadratic residues; Quadratic non-residue; Quadratic congruences; Quadratic congruence; Modular square root; Square root modulo n; Square root mod n; Quadratic residuosity; Quadratic nonresidue; Least quadratic non-residue; Quadratic excess

математика

квадратичный невычет

residue formula         
THE THEOREM THAT COMPLEX CONTOUR INTEGRALS ARE SIMPLY THE SUMS OF RESIDUES OF SINGULARITIES CONTAINED WITHIN THE CONTOUR
Cauchy residue theorem; Cauchy residue formula; Residue theory; Residue Theorem; Cauchy's Residue Theorem; Cauchys Residue Theorem; Cauchy Residue Theorem; Residue formula; Residue theorem of Cauchy; Cauchy's residue theorem

математика

формула вычетов

residue theorem         
THE THEOREM THAT COMPLEX CONTOUR INTEGRALS ARE SIMPLY THE SUMS OF RESIDUES OF SINGULARITIES CONTAINED WITHIN THE CONTOUR
Cauchy residue theorem; Cauchy residue formula; Residue theory; Residue Theorem; Cauchy's Residue Theorem; Cauchys Residue Theorem; Cauchy Residue Theorem; Residue formula; Residue theorem of Cauchy; Cauchy's residue theorem

математика

теорема о вычетах

Cauchy residue theorem         
THE THEOREM THAT COMPLEX CONTOUR INTEGRALS ARE SIMPLY THE SUMS OF RESIDUES OF SINGULARITIES CONTAINED WITHIN THE CONTOUR
Cauchy residue theorem; Cauchy residue formula; Residue theory; Residue Theorem; Cauchy's Residue Theorem; Cauchys Residue Theorem; Cauchy Residue Theorem; Residue formula; Residue theorem of Cauchy; Cauchy's residue theorem
теорема Коши о вычетах
residue theory         
THE THEOREM THAT COMPLEX CONTOUR INTEGRALS ARE SIMPLY THE SUMS OF RESIDUES OF SINGULARITIES CONTAINED WITHIN THE CONTOUR
Cauchy residue theorem; Cauchy residue formula; Residue theory; Residue Theorem; Cauchy's Residue Theorem; Cauchys Residue Theorem; Cauchy Residue Theorem; Residue formula; Residue theorem of Cauchy; Cauchy's residue theorem

общая лексика

теория вычетов

quadratic irrationality         
MATHEMATICAL CONCEPT
Quadratic surd; Quadratic irrationality; Quadratic Irrational Number; Quadratic irrationalities; Quadratic irrational; Quadratic irrational numbers

математика

квадратичная иррациональность

Определение

residue
n.
1.
Remainder, rest, remnant, residuum.
2.
(Law.) Surplus (of a testator's estate), excess, overplus.

Википедия

Euler's criterion

In number theory, Euler's criterion is a formula for determining whether an integer is a quadratic residue modulo a prime. Precisely,

Let p be an odd prime and a be an integer coprime to p. Then

a p 1 2 { 1 ( mod p )  if there is an integer  x  such that  a x 2 ( mod p ) , 1 ( mod p )  if there is no such integer. {\displaystyle a^{\tfrac {p-1}{2}}\equiv {\begin{cases}\;\;\,1{\pmod {p}}&{\text{ if there is an integer }}x{\text{ such that }}a\equiv x^{2}{\pmod {p}},\\-1{\pmod {p}}&{\text{ if there is no such integer.}}\end{cases}}}

Euler's criterion can be concisely reformulated using the Legendre symbol:

( a p ) a p 1 2 ( mod p ) . {\displaystyle \left({\frac {a}{p}}\right)\equiv a^{\tfrac {p-1}{2}}{\pmod {p}}.}

The criterion first appeared in a 1748 paper by Leonhard Euler.

Как переводится quadratic residue technique на Русский язык