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Orthonormally (translated from German)
... 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: |
Orthonormal system (translated from German)
Orthonormal system In that linearen algebra one calls Orthonormal system (on system) ("orthonormally" a composition is ... a subset is shown linear independently. Each orthonormal system can to one Orthonormalbasis to be ... calls these in the Hilbertraum also complete orthonormal system (CON system, C for engl. ) or ...
http://de.wikipedia.org/wiki/Orthonormalsystem - 2k - Cached (German) - Wikipedia (German) - Similar pages
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Orthonormal basis (translated from German)
Orthonormal basis One Orthonormal basis one Interior product area is in ... in both cases. Finite-dimensional areas An orthonormal basis a ... 0 \ \ 0 \ \ 1 \end{pmatrix} an orthonormal basis: Each of these vectors has the ... perpendicularly, because it Skalarprodukt is 0. The orthonormal basis |
Orthonormal basis
Orthonormal basis In mathematics, an orthonormal basis of an inner product space V ... basis by scalar multiples to get an orthonormal basis, and indeed this is a typical way that an orthonormal basis is constructed, via an orthogonal basis ... span', as used in linear algebra. An orthonormal basis is not generally a "basis", ...
http://en.wikipedia.org/wiki/Orthonormal_basis - 7k - Cached - Similar pages
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Orthonormal matrix
Orthonormal matrix In linear algebra, an orthonormal matrix is a (not necessarily square) matrix ... in R n or C n , are orthonormal with respect to the standard inner product ... an n-by-k matrix G is orthonormal if and only if |
Orthonormal base (translated from French)
Orthonormal base Orthonormal base That is to say E N ... B = (\vec e_1) is known as orthonormal if and only if \ | \vec e_1 ... 1 then \mathcal B is orthonormal if and only if \| \vec e_1 ... vec e_i \cdot \vec e_j = 0) Orthonormal reference mark Are With N one ...
http://fr.wikipedia.org/wiki/Base_orthonormale - 2k - Cached (French) - Wikipedia (French) - Similar pages
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Talk:Orthonormal matrix
Talk:Orthonormal matrix I do not think the term orthonormal matrix is standard anywhere. Perhaps someone created ...
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Talk:Orthonormal basis
Talk:Orthonormal basis Please, 'Orthonormal basis' is a general concept, not specific ... Note: It is impossible to define an orthonormal basis on any vector space unless it ... spaces or other inner product spaces. An orthonormal basis is not generally a "basis", i ... combination of finitely many members of an orthonormal basis. And as soon as you' ...
http://en.wikipedia.org/wiki/Talk:Orthonormal_basis - 4k - Cached - Similar pages
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Talk:Hodge dual
... it be defined without reference to an (orthonormal basis)? Yes. and in fact you find ... Assume e 1 , ..., e n to be orthonormal (i.e. 〈e i ,e j 〉 ... is the inner product that takes the orthonormal basis {e i } and basically promotes the ... of the entire exterior algebra to be orthonormal. In other words, if {e 1 ,e 2 ,e 3 } is an orthonormal basis of 1-vectors, then {e ...
http://en.wikipedia.org/wiki/Talk:Hodge_dual - 55k - Cached - Similar pages
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Hilbert space
... Hilbert spaces: every Hilbert space has an orthonormal basis, and every element of the Hilbert ... An important concept is that of an orthonormal basis of a Hilbert space H: this ... in H. We also use the expressions orthonormal sequence and orthonormal set. Examples of orthonormal bases include: the set {(1,0, ...
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