exclusive submanifold (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/ɪkˈskluːsɪv ˈsʌbmænfəʊld/

Meaning

An "exclusive submanifold" refers to a specific type of mathematical structure in differential geometry, particularly in the study of manifolds and submanifolds. A submanifold is a subset of a manifold that itself has the structure of a manifold. The term "exclusive" typically highlights that this submanifold possesses particular properties or restrictions compared to other types of submanifolds, often implying that it is distinct or not shared with others.

In terms of its usage in the English language, "exclusive submanifold" is primarily a technical term employed in advanced mathematical contexts and literature. It is not used commonly in everyday speech and is mostly found in academic texts, research papers, and professional discussions in mathematics.

Example Sentences

1. The mathematician proved that every exclusive submanifold of the given manifold retained its unique properties in relation to curvature.

2. Математик доказал, что каждая эксклюзивная подсоставная многообразие данного многообразия сохраняет свои уникальные свойства в отношении кривизны.

3. To understand the implications of the theorem, one must first grasp the concept of an exclusive submanifold in the context of differential geometry.

4. Чтобы понять последствия теоремы, сначала необходимо усвоить концепцию эксклюзивного подмногообразия в контексте дифференциальной геометрии.

5. In their research, the authors highlighted the critical role played by the exclusive submanifold in their geometric analysis.

6. В своём исследовании авторы подчеркнули критическую роль, которую играет эксклюзивное подмногообразие в их геометрическом анализе.

Idiomatic Expressions

The term "exclusive submanifold" is specific to a particular field and does not feature prominently in idiomatic expressions in English. However, the concept of exclusivity is a common theme in various idiomatic expressions which convey notions of distinction or selectivity. Here are some relevant expressions:

1. Exclusive club – A group that only allows certain members to join.
2. Joining the exclusive club of mathematicians required rigorous proof of one’s research credentials.

3. Чтобы присоединиться к эксклюзивному клубу математиков, потребовалось строгое подтверждение научной квалификации.

4. Exclusive rights – Special rights that are granted to a certain group or person.

5. The researchers received exclusive rights to publish findings on the exclusive submanifold of their study.

6. Исследователи получили эксклюзивные права на публикацию результатов о эксклюзивном подмногообразии своего исследования.

7. Exclusive deal – A special arrangement that is unique to particular parties.

8. The university secured an exclusive deal allowing them to access the latest findings on exclusive submanifolds.
9. Университет заключил эксклюзивную сделку, позволяющую ему получить доступ к последним находкам о эксклюзивных подмногообразиях.

Etymology

The term "exclusive" originates from the Latin word "excludere," meaning "to shut out." The word implies a sense of restriction or selectivity. The word "submanifold" combines "sub," which is a Latin prefix meaning "under" or "beneath," signifying that it refers to a manifold that is part of a larger manifold. The term "manifold" itself comes from the Old English "manigfeald," meaning "many-fold" or "having many parts."

Synonyms and Antonyms

Synonyms: - Specialized submanifold - Distinct submanifold

Antonyms: - Universal manifold - General submanifold

This information provides a detailed overview of the term "exclusive submanifold," its usage, context, and related linguistic aspects.