Orthonormal basis   (translated from German)
Orthonormal basis One Orthonormal basis one Interior product area is in that linearen algebra and that Funktionalanalysis one Basis this Vektorraums , of them Vektoren all ...
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Orthonormal basis
Orthonormal basis In mathematics, an orthonormal basis of an inner product space V (i ... that is, of magnitude 1. An orthogonal basis satisfies the same conditions, without the ...
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Talk:Orthonormal basis
Talk:Orthonormal basis Please, 'Orthonormal basis' is a general concept, not specific to ... Note: It is impossible to define an orthonormal basis on any vector space unless ...
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Orthonormally   (translated from German)
... them Norm (descriptive: Length) one is. One Basis one Vektorraums from orthonormal vectors a so-called forms Orthonormalbasis ; for ... the inverse one exists, is the out orthonormal vectors equal the Transponierten: $A^\{T\}=A^\{-1\}$. Examples The standard basis of the three-dimensional area is $\backslash R^3$ is orthonormal: e_1\right\| = \left\|e_2\right\| = \left\| ...
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Basis (linear algebra)
Basis (linear algebra) In linear algebra, a basis is a minimum set of vectors that ... in a given space. More precisely, a basis of a vector space is a set ... vectors in B. Finally, B is a basis if it is a generating set of ... vector space V. Then, B is a basis if and only if any of ...
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Basis (vector space)   (translated from German)
Basis (vector space) In mathematics is one Basis one Vektorraums $V$ one by ... V is. The elements of a basis are called Basis vectors. A basis leaves itself as Family from basis ...
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Talk:Basis (linear algebra)
Talk:Basis (linear algebra) Hamel bases The page Hamel basis redirects here, and I'm not sure ... to remove the redirection and add "Hamel basis" to the list of requested mathematics article, and possibly supply a new "Hamel basis" article myself when I can. -- Dominus 18 ... say the point made at length about orthonormal bases not being vector space bases ...
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Talk:Hodge dual
... gave above has two advantages (1) its basis independent; (2) it is a closed form ... by some more alternative derivitions (perhaps a basis dependent one as well). Apologies for the ... it be defined without reference to an (orthonormal basis)? Yes. and in fact you find this ... Note that there is no choice of basis and no reference to components in ...
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Hilbert space
... Hilbert spaces: every Hilbert space has an orthonormal basis, and every element of the Hilbert space ... An important concept is that of an orthonormal basis of a Hilbert space H: this is ... in H. We also use the expressions orthonormal sequence and orthonormal set. Examples of ...
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Hilbert space   (translated from German)
... This is the original Hilbertraum, on the basis whose David Hilbert examined the characteristics of ... Orthogonalbasen do not form Hamelbasis. If these basis vectors are beyond that in such a ... in 1, then one speaks of an orthonormal system and/or. Orthonormal basis. Mathematically: The vectors $V\_1,\; V\_2,\; \backslash \; ...$
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