World Languages Lexicon
10 Language-to-English Dictionariesआधार सदिश
Pronunciation / Transliteration: adhar sadish
"रैखिक बीजगणित में आधार सदिश बहुत महत्वपूर्ण हैं।"
Comprehensive Definitions & Senses
2 senses- 1
One of a sequence or set of vectors in a vector space that are linearly independent and span the space, such that every vector in the space can be expressed uniquely as a linear combination of them.
"In a three-dimensional Cartesian coordinate system, the standard basis vectors are usually denoted as i, j, and k." - 2
A directional element in a multidimensional coordinate framework that defines an independent axis of movement or measurement.
"Principal component analysis uses orthogonal basis vectors to project high-dimensional data onto lower-dimensional subspaces."
Thesaurus & Semantic Spectrum
Linguistic Origin & Historical Etymology
The term combines 'basis', derived from the Late Latin 'basis' (base, foundation) from Greek 'basis' (step, pedestal), and 'vector', from Latin 'vector' (carrier, bearer) from 'vehere' (to carry). Formalized in the 19th century with the development of linear algebra by mathematicians such as Hermann Grassmann and William Rowan Hamilton to describe directional quantities in vector spaces.
Which of the following is the closest synonym for "Basis vector"?
10 Global Lexicons: How "Basis vector" is said worldwide
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vecteur de base
Transliteration: vɛk.tœʁ də bɑz
"Chaque vecteur de cet espace s'exprime comme une combinaison linéaire des vecteurs de base."
Basiseingabe
Transliteration: baːziːsvɛktɐ
Script: Basisvektor
"Die Basisvektorenspannen den gesamten Vektorraum auf."
vettore di base
Transliteration: vɛtˈtoːre di ˈbaːze
"I vettori di base sono ortogonali tra loro."
vector base
Transliteration: bekˈtoɾ ˈbase
"El espacio vectorial está definido por su conjunto de vectores base."
vetor de base
Transliteration: veˈtoɾ dʒi ˈbaz
"Precisamos encontrar o vetor de base ortonormal para esta transformação."
आधार सदिश
Transliteration: adhar sadish
"रैखिक बीजगणित में आधार सदिश बहुत महत्वपूर्ण हैं।"
基向量
Transliteration: jī xiàngliàng
"这组基向量张成了整个三维空间。"
기저 벡터
Transliteration: gijeo bekteo
"모든 벡터는 기저 벡터들의 선형 결합으로 나타낼 수 있습니다."
基底ベクトル
Transliteration: kitei bekutoru
"線形代数において基底ベクトルは空間を張る役割を持ちます。"
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