Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
bounded domain - translation to russian
общая лексика
ограниченная область
математика
ограниченный оператор
Definition
1) Принудительное безвозмездное - конфискация - или оплачиваемое - реквизиция - изъятие чего-л., производимое государственными органами.
2) Лишение одним классом или одним из слоев класса собственности и прежнего социального положения другого класса или другого слоя того же класса.
3) Любое принудительное отчуждение чего-л.
Wikipedia
In mathematics, more specifically ring theory, an atomic domain or factorization domain is an integral domain in which every non-zero non-unit can be written in at least one way as a finite product of irreducible elements. Atomic domains are different from unique factorization domains in that this decomposition of an element into irreducibles need not be unique; stated differently, an irreducible element is not necessarily a prime element.
Important examples of atomic domains include the class of all unique factorization domains and all Noetherian domains. More generally, any integral domain satisfying the ascending chain condition on principal ideals (ACCP) is an atomic domain. Although the converse is claimed to hold in Cohn's paper, this is known to be false.
The term "atomic" is due to P. M. Cohn, who called an irreducible element of an integral domain an "atom".
