What does vector decomposition mean?

Definitions for vector decomposition
vec·tor de·com·po·si·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word vector decomposition.

Princeton's WordNet

  1. decomposition, vector decompositionnoun

    the analysis of a vector field

Wikipedia

  1. vector decomposition

    In mathematics, a set B of vectors in a vector space V is called a basis if every element of V may be written in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates of the vector with respect to B. The elements of a basis are called basis vectors. Equivalently, a set B is a basis if its elements are linearly independent and every element of V is a linear combination of elements of B. In other words, a basis is a linearly independent spanning set. A vector space can have several bases; however all the bases have the same number of elements, called the dimension of the vector space. This article deals mainly with finite-dimensional vector spaces. However, many of the principles are also valid for infinite-dimensional vector spaces.

ChatGPT

  1. vector decomposition

    Vector decomposition, also known as vector resolution, refers to the process of breaking down a single vector into two or more vectors that, when combined, would equal the original vector. These resulting vectors are typically orthogonal, meaning they operate along different dimensions or directions. This process is integral in physics and linear algebra for simplifying complex multi-dimensional problems.

Wikidata

  1. Vector decomposition

    Vector decomposition is the decomposition of a vector of R into several vectors, all linearly independent.

Matched Categories

How to pronounce vector decomposition?

How to say vector decomposition in sign language?

Numerology

  1. Chaldean Numerology

    The numerical value of vector decomposition in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of vector decomposition in Pythagorean Numerology is: 6

Translation

Find a translation for the vector decomposition definition in other languages:

Select another language:

  • - Select -
  • 简体中文 (Chinese - Simplified)
  • 繁體中文 (Chinese - Traditional)
  • Español (Spanish)
  • Esperanto (Esperanto)
  • 日本語 (Japanese)
  • Português (Portuguese)
  • Deutsch (German)
  • العربية (Arabic)
  • Français (French)
  • Русский (Russian)
  • ಕನ್ನಡ (Kannada)
  • 한국어 (Korean)
  • עברית (Hebrew)
  • Gaeilge (Irish)
  • Українська (Ukrainian)
  • اردو (Urdu)
  • Magyar (Hungarian)
  • मानक हिन्दी (Hindi)
  • Indonesia (Indonesian)
  • Italiano (Italian)
  • தமிழ் (Tamil)
  • Türkçe (Turkish)
  • తెలుగు (Telugu)
  • ภาษาไทย (Thai)
  • Tiếng Việt (Vietnamese)
  • Čeština (Czech)
  • Polski (Polish)
  • Bahasa Indonesia (Indonesian)
  • Românește (Romanian)
  • Nederlands (Dutch)
  • Ελληνικά (Greek)
  • Latinum (Latin)
  • Svenska (Swedish)
  • Dansk (Danish)
  • Suomi (Finnish)
  • فارسی (Persian)
  • ייִדיש (Yiddish)
  • հայերեն (Armenian)
  • Norsk (Norwegian)
  • English (English)

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:


Citation

Use the citation below to add this definition to your bibliography:

Style:MLAChicagoAPA

"vector decomposition." Definitions.net. STANDS4 LLC, 2024. Web. 12 Jun 2024. <https://www.definitions.net/definition/vector+decomposition>.

Discuss these vector decomposition definitions with the community:

0 Comments

    Are we missing a good definition for vector decomposition? Don't keep it to yourself...

    Image or illustration of

    vector decomposition

    Credit »

    Free, no signup required:

    Add to Chrome

    Get instant definitions for any word that hits you anywhere on the web!

    Free, no signup required:

    Add to Firefox

    Get instant definitions for any word that hits you anywhere on the web!

    Browse Definitions.net

    Quiz

    Are you a words master?

    »
    sound of something in rapid motion
    A sought
    B reassuring
    C whirring
    D urban

    Nearby & related entries:

    Alternative searches for vector decomposition: