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 Translation for 'axiom of extensionality' from English to Russian
мат.
аксиома {ж} объёмности
axiom of extensionality
Partial Matches
мат.
аксиома {ж} объёмности
axiom of extent
мат.
аксиома {ж}
axiom
ложка {ж} [+gen.]spoonful of
куча [+gen.] [разг.] [множество]plenty of
убедить в [+prep.] [сов.]to convince of
unverified наводя́щий на мы́сли (о)suggestive (of)
из-за {prep} [+gen.]because of
вместо {prep} [+gen.]instead of
за пределами {adv}outside (of)
конечно {adv}of course
бот.экол.
растительное сообщество {с}
community of plants
собачий лай {м}barking of dogs
мед.
приступ {м} кашля
fit of coughing
нарк.сель.
коноплеводство {с}
cultivation of hemp
нарк.сель.
коноплеводство {с}
growing of hemp
орн.
птичий щебет {м}
twittering of birds
муз.
музыкальная пьеса {ж}
piece of music
экол.
водная масса {ж}
mass of water
военнопол.
агрессивная война {ж}
war of aggression
сад
цветник {м} [клумба]
bed of flowers
21 translations
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Usage Examples English
  • According to the axiom of extensionality, the identity of a set is determined by its elements.
  • In first-order logic with equality, the axiom of extensionality states that two sets which "contain" the same elements are the same set.
  • In axiomatic set theory and the branches of logic, mathematics, and computer science that use it, the axiom of extensionality, or axiom of extension, is one of the axioms of Zermelo–Fraenkel set theory.
  • That a set can capture the notion of the extension of anything is the idea behind the axiom of extensionality in axiomatic set theory.
  • Note that in this case, the axiom of extensionality must be formulated to apply only to objects that are not urelements.

  • In set theory, the axiom of extensionality states that two sets are equal if and only if they contain the same elements.
  • The axiom of extensionality implies the empty set is unique (does not depend on [...]).
  • Axiom of extensionality. [...] If two classes have the same elements, then they are identical.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
Links to this dictionary or to individual translations are very welcome!