linear subspace

ˈlɪniər ˈsʌbˌspeɪs
Translation Definition
NEW

Translation of linear subspace into Russian

Noun

linear algebra

TECH.
subset of vectors closed under addition and scalar multiplication
TECH.
линейное подпространство linejnoje podprostranstvo
  • The set of all solutions forms a linear subspace.Множество всех решений образует линейное подпространство.
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Synonyms and analogies of linear subspace in English

n.vector spaceMore synonyms

Examples of linear subspace in a sentence

  • The concept of a linear subspace is fundamental in linear algebra.

Translations of "linear subspace" in Context ordered by category and frequency

линейном подпространстве - lineynom podprostranstve

A point in a linear subspace can be expressed as a vector sum.

Точка в линейном подпространстве может быть выражена как сумма векторов.

All linear combinations of vectors in a linear subspace remain within that space.

Все линейные комбинации векторов в линейном подпространстве остаются в его пределах.

линейным подпространством - lineynym podprostranstvom

Determining if a set is a linear subspace requires checking certain conditions.

Для определения того, является ли множество линейным подпространством, необходимо проверить определённые условия.

The intersection of two linear subspaces is also a linear subspace.

Пересечение двух линейных подпространств также является линейным подпространством.

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linear subspace: Examples and translations in context

In mathematics, a linear subspace consists of vectors combined through addition.

В математике линейное подпространство состоит из векторов, комбинированных складыванием.

A linear subspace can have various dimensions depending on the vectors involved.

Линейное подпространство может иметь различные размеры в зависимости от вовлечённых векторов.

We studied the properties of a linear subspace in our advanced algebra class.

Мы изучали свойства линейного подпространства на продвинутых занятиях по алгебре.

Understanding linear subspace helps in solving many complex mathematical problems.

Понимание концепции линейного подпространства помогает решать многие сложные математические задачи.

Every linear subspace includes the zero vector as one of its elements.

Каждое линейное подпространство включает нулевой вектор как один из своих элементов.

In three-dimensional space, a linear subspace can be a plane or a line.

В трёхмерном пространстве линейное подпространство может быть плоскостью или прямой.

We learned that a linear subspace can have infinite or finite dimensions.

Мы узнали, что линейное подпространство может иметь как бесконечные, так и конечные размеры.

To form a linear subspace, the set must be closed under scalar multiplication.

Чтобы сформировать линейное подпространство, множество должно быть замкнуто относительно умножения на скаляр.

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