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basis theorem - translation to russian
WIKIMEDIA DISAMBIGUATION PAGE
basis theorem
теорема об опорном плане
vector basis
![This picture illustrates the [[standard basis]] in '''R'''<sup>2</sup>. The blue and orange vectors are the elements of the basis; the green vector can be given in terms of the basis vectors, and so is [[linearly dependent]] upon them.](https://commons.wikimedia.org/wiki/Special:FilePath/Basis graph (no label).svg?width=200 "This picture illustrates the [[standard basis]] in '''R'''<sup>2</sup>. The blue and orange vectors are the elements of the basis; the green vector can be given in terms of the basis vectors, and so is [[linearly dependent]] upon them.")
![[−1, 1]<sup>''n''</sup>}} as a function of dimension, ''n''. Boxplots show the second and third quartiles of this data for each ''n'', red bars correspond to the medians, and blue stars indicate means. Red curve shows theoretical bound given by Eq. (1) and green curve shows a refined estimate.<ref name = "GorbanTyukin2016"/>](https://commons.wikimedia.org/wiki/Special:FilePath/Random almost orthogonal sets.png?width=200 "[−1, 1]<sup>''n''</sup>}} as a function of dimension, ''n''. Boxplots show the second and third quartiles of this data for each ''n'', red bars correspond to the medians, and blue stars indicate means. Red curve shows theoretical bound given by Eq. (1) and green curve shows a refined estimate.<ref name = \"GorbanTyukin2016\"/>")
SUBSET OF A VECTOR SPACE THAT ALLOWS DEFINING COORDINATES
Linear Algebra/Basis for a Vector Space; Linear algebra/Basis for a vector space; Basis of a vector space; Basis vector; Hamel basis; Hamel bases; Linear basis; Vector space basis; Basis vectors; Ordered basis; Vector decomposition; Basis (vector space); Vector basis; Basis (mathematics); Basis element; Algebraic basis; Basis (algebra); Component of a vector; Cone basis; Convex basis; Coordinate (vector space)
математика
векторный базис
ordered basis
SUBSET OF A VECTOR SPACE THAT ALLOWS DEFINING COORDINATES
Linear Algebra/Basis for a Vector Space; Linear algebra/Basis for a vector space; Basis of a vector space; Basis vector; Hamel basis; Hamel bases; Linear basis; Vector space basis; Basis vectors; Ordered basis; Vector decomposition; Basis (vector space); Vector basis; Basis (mathematics); Basis element; Algebraic basis; Basis (algebra); Component of a vector; Cone basis; Convex basis; Coordinate (vector space)
математика
упорядоченный базис
Definition
theorem
n.
Proposition (to be demonstrated), position, dictum, thesis.
Wikipedia
Basis theorem
Basis theorem can refer to:
- Basis theorem (computability), a type of theorem in computability theory showing that sets from particular classes must have elements of particular kinds.
- Hilbert's basis theorem, in algebraic geometry, says that a polynomial ring over a Noetherian ring is Noetherian.
- Low basis theorem, a particular theorem in computability theory.
