quotient set - перевод на русский
Diclib.com
Словарь ChatGPT
Введите слово или словосочетание на любом языке 👆
Язык:

Перевод и анализ слов искусственным интеллектом ChatGPT

На этой странице Вы можете получить подробный анализ слова или словосочетания, произведенный с помощью лучшей на сегодняшний день технологии искусственного интеллекта:

  • как употребляется слово
  • частота употребления
  • используется оно чаще в устной или письменной речи
  • варианты перевода слова
  • примеры употребления (несколько фраз с переводом)
  • этимология

quotient set - перевод на русский

MATHEMATICAL CONCEPT
Quotient set; Equivalence classes; Factor space; Canonical projection; Canonical projection map; Equivalence class representative; Equivalence Class Representative; Equivalence Class Of Y; Class representative (mathematics); Quotient sets; Equivalence set; Representative (mathematics); Canonical surjection
  • Congruence]] is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.
  • Graph of an example equivalence with 7 classes

quotient set         

общая лексика

множество-частное

фактормножество

equivalence class         

логика

класс эквивалентности

canonical projection         

математика

каноническая проекция

Определение

кодировка
ж.
То же, что: кодирование.

Википедия

Equivalence class

In mathematics, when the elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle S} into equivalence classes. These equivalence classes are constructed so that elements a {\displaystyle a} and b {\displaystyle b} belong to the same equivalence class if, and only if, they are equivalent.

Formally, given a set S {\displaystyle S} and an equivalence relation {\displaystyle \,\sim \,} on S , {\displaystyle S,} the equivalence class of an element a {\displaystyle a} in S , {\displaystyle S,} denoted by [ a ] , {\displaystyle [a],} is the set

of elements which are equivalent to a . {\displaystyle a.} It may be proven, from the defining properties of equivalence relations, that the equivalence classes form a partition of S . {\displaystyle S.} This partition—the set of equivalence classes—is sometimes called the quotient set or the quotient space of S {\displaystyle S} by , {\displaystyle \,\sim \,,} and is denoted by S / {\displaystyle S/{\sim }} .

When the set S {\displaystyle S} has some structure (such as a group operation or a topology) and the equivalence relation {\displaystyle \,\sim \,} is compatible with this structure, the quotient set often inherits a similar structure from its parent set. Examples include quotient spaces in linear algebra, quotient spaces in topology, quotient groups, homogeneous spaces, quotient rings, quotient monoids, and quotient categories.

Примеры употребления для quotient set
1. India, Japan and Iran finished with two wins and a loss each at the end of the summit league but were edged out to the third place on set quotient (set scores–for and against). Japan regained the title with a quotient of 1.50 and former champions Iran had 1.05 points while India accrued 0.'74 points.
Как переводится quotient set на Русский язык