vector space
A set of elements called vectors, together with some field and operations called…A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field.
» Every vector space has a basis.
Jeder Vektorraum hat eine Basis.
Значение
значений: 1A set of elements called vectors, together with some field and operations called addition (mapping two vectors to a vector) and scalar multiplication (mapping a vector and an element in the field to a vector), satisfying a list of constraints; equivalently, a module over a field.
A vector space is a set of vectors which can be linearly combined.
Each vector space has a basis and dimension.
Vektorraum
ве́кторное простра́нствоvéktornoje prostránstvo
векторний простірvektornyj prostir
Примеры
предложений: 7Every vector space has a basis.
deJeder Vektorraum hat eine Basis. — Pfirsichbaeumchen
These matrices form a vector space.
ukЦі матриці утворюють векторний простір. — Leonid
In mathematics, an algebra over a field is a vector space equipped with a bilinear product.
The dimension of a vector space equals the largest number of its elements that can be linearly independent.
deDie Dimension eines Vektorraums ist gleich der maximalen Anzahl in ihm linear unabhängiger Elemente. — Pfirsichbaeumchen
"Actually, I understood everything in linear algebra until we came to vector spaces," said Tom. Mary just shook her head.
de„Ich habe in der Linearen Algebra eigentlich alles verstanden, bis wir dann zu den Vektorräumen kamen“, meinte Tom. Maria schüttelte nur mit dem Kopf. — Pfirsichbaeumchen
Переводы
языков: 9По значениям 1
По значениям 1
По значениям 1
Формы
мн. число: vector spaces| Ед. число | vector space |
|---|---|
| Мн. число | vector spaces |
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