vector space

ˈvɛktər speɪs
Translation Definition
NEW

Translation of vector space into German

Noun

mathematics

TECH.
set of vectors with addition and scalar multiplication
TECH.
Vektorraum m
  • The vector space allows for linear combinations of vectors.Der Vektorraum ermöglicht lineare Kombinationen von Vektoren.
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Synonyms and analogies of vector space in English

n.vector fieldMore synonyms

Examples of vector space in a sentence

  • Vector spaces are fundamental in quantum mechanics.

Translations of "vector space" in Context ordered by category and frequency

Noun
derVektorraumnm.

A vector space can contain an infinite number of vectors depending on the basis.

Ein Vektorraum kann abhängig von der Basis eine unendliche Anzahl von Vektoren enthalten.

The professor explained how a linear combination can span a vector space.

Der Professor erklärte, wie eine lineare Kombination einen Vektorraum aufspannen kann.

Every vector space includes a zero vector which acts as an additive identity.

Jeder Vektorraum enthält einen Nullvektor, der als additives Identitätselement fungiert.

Geometric interpretations often help students visualize the abstract vector space.

Geometrische Interpretationen helfen Studierenden oft, den abstrakten Vektorraum zu visualisieren.

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vector space: Examples and translations in context

In calculus, you frequently employ the principles of vector space in optimization.

In der Analysis verwendet man häufig die Prinzipien eines Vektorraums in der Optimierung.

An n-dimensional vector space can represent information in higher mathematical contexts.

Ein n-dimensionaler Vektorraum kann Informationen in höheren mathematischen Kontexten darstellen.

The concept of a vector space simplifies many problems in physics and engineering.

Das Konzept eines Vektorraums vereinfacht viele Probleme in der Physik und im Ingenieurwesen.

Terms from different languages usually create the same patterns in a vector space.

Begriffe aus unterschiedliche Sprachen bilden ähnliche Muster innerhalb des Vektorraums.

Understanding a vector space allows us to solve systems of linear equations easily.

Das Verständnis eines Vektorraums ermöglicht es uns, lineare Gleichungssysteme leicht zu lösen.

To calculate vectors, we often refer back to the properties of the vector space.

Um Vektoren zu berechnen, beziehen wir uns oft auf die Eigenschaften des Vektorraums.

See also:

Browse the dictionary entries starting with “v”:
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