orthonormal system

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orthonormal system

An orthonormal system of vectors is a system (xα) of vectors in a Euclidean (Hilbert) space with inner product (⋅,⋅) such that (xα,xβ)=0 if α≠β ...,In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all ... ,An orthonormal function system (ONS) is an orthonormal basis in a vector space of functions. See basis (linear algebra), Fourier analysis, square-integrable, ... ,In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V ... If we go on to Hilbert spaces, a non-orthonormal set of vectors having the same linear span as an orthonormal basis may not be a basis at all. ,單範正交系. orthonormal system. 大陸譯名: 规范正交系. 以orthonormal system 進行詞彙精確檢索結果. 出處/學術領域, 英文詞彙, 中文詞彙. 學術名詞 數學名詞-兩岸 ... ,正[交歸]一系. orthonormal system. 以orthonormal system 進行詞彙精確檢索結果 ... 數學名詞-兩岸數學名詞, orthonormal system, 單範正交系. 學術名詞 物理學名詞 ,It is interesting to note that (τ−nsinc)n∈Z is also an orthonormal system in L2(ℝ). By virtue of (τ−nsinc)n∈Z being an orthonormal system we get (as for the ... ,If an infinite-dimensional separable Hilbert space H has an incomplete orthonormal system x k} (k = 1, 2,…), then the subspace H 0spanned by x k} is distinct ...

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orthonormal system 相關參考資料
Orthonormal system - Encyclopedia of Mathematics

An orthonormal system of vectors is a system (xα) of vectors in a Euclidean (Hilbert) space with inner product (⋅,⋅) such that (xα,xβ)=0 if α≠β ...

https://www.encyclopediaofmath

Orthonormality - Wikipedia

In linear algebra, two vectors in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all ...

https://en.wikipedia.org

Orthonormal function system - Wikipedia

An orthonormal function system (ONS) is an orthonormal basis in a vector space of functions. See basis (linear algebra), Fourier analysis, square-integrable, ...

https://en.wikipedia.org

Orthonormal basis - Wikipedia

In mathematics, particularly linear algebra, an orthonormal basis for an inner product space V ... If we go on to Hilbert spaces, a non-orthonormal set of vectors having the same linear span as an ort...

https://en.wikipedia.org

orthonormal system - 單範正交系 - 國家教育研究院雙語詞彙

單範正交系. orthonormal system. 大陸譯名: 规范正交系. 以orthonormal system 進行詞彙精確檢索結果. 出處/學術領域, 英文詞彙, 中文詞彙. 學術名詞 數學名詞-兩岸 ...

http://terms.naer.edu.tw

orthonormal system - 正[交歸]一系 - 國家教育研究院雙語詞彙

正[交歸]一系. orthonormal system. 以orthonormal system 進行詞彙精確檢索結果 ... 數學名詞-兩岸數學名詞, orthonormal system, 單範正交系. 學術名詞 物理學名詞

http://terms.naer.edu.tw

Orthonormal System - an overview | ScienceDirect Topics

It is interesting to note that (τ−nsinc)n∈Z is also an orthonormal system in L2(ℝ). By virtue of (τ−nsinc)n∈Z being an orthonormal system we get (as for the ...

https://www.sciencedirect.com

Complete Orthonormal System - an overview | ScienceDirect ...

If an infinite-dimensional separable Hilbert space H has an incomplete orthonormal system x k} (k = 1, 2,…), then the subspace H 0spanned by x k} is distinct ...

https://www.sciencedirect.com