Definition of Orthonormal. Meaning of Orthonormal. Synonyms of Orthonormal

Here you will find one or more explanations in English for the word Orthonormal. Also in the bottom left of the page several parts of wikipedia pages related to the word Orthonormal and, of course, Orthonormal synonyms and on the right images related to the word Orthonormal.

Definition of Orthonormal

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Meaning of Orthonormal from wikipedia

- linear algebra, an orthonormal basis for an inner product space V with finite dimension is a basis for V whose vectors are orthonormal, that is, they are...
- in an inner product space are orthonormal if they are orthogonal and unit vectors. A set of vectors form an orthonormal set if all vectors in the set...
- a square matrix whose columns and rows are orthogonal unit vectors (orthonormal vectors). One way to express this is Q T Q = Q Q T = I , {\displaystyle...
- function by a certain orthonormal series generated by a wavelet. This article provides a formal, mathematical definition of an orthonormal wavelet and of the...
- b_{n}]=\sum _{i}b_{i}\mathbf {e} _{i}.\end{aligned}}} The vectors ei are an orthonormal basis, which means that they have unit length and are at right angles...
- basis {e1, ..., en} is orthonormal if ⟨ei, ej⟩ = 0 for every i ≠ j and ⟨ei, ei⟩ = ||ei|| = 1 for each i. This definition of orthonormal basis generalizes to...
- In Riemannian geometry and relativity theory, an orthonormal frame is a tool for studying the structure of a differentiable manifold equipped with a metric...
- between them. In particular, orthogonal transformations map orthonormal bases to orthonormal bases. Orthogonal transformations in two- or three-dimensional...
- the first two conditions basis is called an orthonormal system or an orthonormal set (or an orthonormal sequence if B is countable). Such a system is...
- possible to talk about the set of all of orthonormal frames for Ex. An orthonormal frame for Ex is an ordered orthonormal basis for Ex, or, equivalently, a linear...
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