Translation for 'algebraic number' from English to Russian

algebraic number

алгебраическое число {с}мат.

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algebraic number theory

алгебраическая теория {ж} чиселмат.

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algebraic

алгебраический {adj}мат.

algebraic structure

алгебраическая структура {ж}мат.

algebraic curve

алгебраическая кривая {ж}мат.

algebraic expression

алгебраическое выражение {с}мат.

algebraic geometry

алгебраическая геометрия {ж}мат.наука

number

число {с}мат.

pentagonal number

пятиугольное число {с}мат.

hexagonal number

шестиугольное число {с}мат.

dance number

танцевальный номер {м}

number theory

теория {ж} чиселмат.

even number

чётное число {с}мат.

odd number

нечётное число {с}мат.

decimal number

десятичное число {с}мат.

cardinal (number)

кардинальное число {с}мат.

number word

числительное {с}линг.

perfect number

совершенное число {с}мат.

Motzkin number

число {с} Моцкинамат.

prime (number)

простое число {с}мат.

to number [count]

насчитывать [несов.]

number [installment]

выпуск {м}

• Many areas of mathematics and computer science have been brought to bear on the problem, including elliptic curves, algebraic number theory, and quantum computing.
• Global fields are in the limelight in algebraic number theory and arithmetic geometry.
• Algebraic number fields "K" come with a canonical norm function on them: the absolute value of the field norm "N" that takes an algebraic element "α" to the product of all the conjugates of "α".
• An algebraic number is a number that is a solution of a non-zero polynomial equation in one variable with rational coefficients (or equivalently — by clearing denominators — with integer coefficients).
• Hilbert unified the field of algebraic number theory with his 1897 treatise "Zahlbericht" (literally "report on numbers").

• An "algebraic integer" is an algebraic number that is a root of a polynomial with integer coefficients with leading coefficient 1 (a monic polynomial).
• The unsolved problem stimulated the development of algebraic number theory in the 19th century, and the proof of the modularity theorem in the 20th century.
• of "A" under extension is one of the central problems of algebraic number theory.
• A number of proofs of the theorem, especially those based on Gauss sums or the splitting of primes in algebraic number fields, derive this formula.
• Number theory includes several subareas, including analytic number theory, algebraic number theory, geometry of numbers (method oriented), diophantine equations, and transcendence theory (problem oriented).

• The notational convenience of the Legendre symbol inspired introduction of several other "symbols" used in algebraic number theory, such as the Hilbert symbol and the Artin symbol.
• These values describe [...] as a fundamental unit of the algebraic number field [...].
• A real number [...] is called a real algebraic number if there is a polynomial [...] , with only integer coefficients, so that [...] is a root of [...] , that is, [...].