English English Russian Русский German Deutsch
  • English English
  • Russian Russian
  • German German
  • English English
  • Russian Russian
  • German German
en

Nonresidue

ru

Translation of "nonresidue" into Russian

nonresidue
Noun
raiting
UK
/nɒnˈrɛzɪdjuː/
US
/nɑnˈrɛzɪdu/
nonresidue
nonresidues pl
невычет
Термин теории чисел: элемент, не являющийся квадратичным вычетом
In modulo 7 arithmetic, 3 is a nonresidue.
В арифметике по модулю 7 число 3 является невычетом.
Additional translations
квадратичный невычет
Полная форма, подчёркивающая связь с квадратичностью
nonresidue
Adjective
raiting
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
nonresidue
more nonresidue Comp.
most nonresidue Super.
Used attributively in mathematics (e.g., "nonresidue element"), behaves like a non-gradable adjective but can take periphrastic comparison if needed.
невычетный
Употребляется для обозначения свойства элемента быть невычетом
We need to choose a nonresidue element modulo p for the algorithm.
Для алгоритма нам нужно выбрать невычетный элемент по модулю p.

Definitions

nonresidue
Noun
raiting
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
A number that is not a quadratic residue modulo a given number, meaning it does not have a square root under modular arithmetic.
In modulo 7 arithmetic, 3 is a nonresidue because there is no integer x such that x^2 ≡ 3 (mod 7).
nonresidue
Adjective
raiting
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
UK
/ˌnɒnˈrɛzɪdjuː/
US
/ˌnɑnˈrɛzɪdu/
Not being a residue; especially, in number theory, not being a quadratic residue modulo a given number.
In the context of prime fields, 5 is a nonresidue element modulo 11.