orthonormal
1
9.5
- adjective
- /ˌɔrθəˈnɔrməl/
- Specialized
- Each vector in an orthonormal system is at a right angle to the others and has a length of one.
- orthonormal basis
Examples
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So every subspace has a basis, and we can take an orthonormal basis, right?
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To solve the problem efficiently, we used an orthonormal basis in our calculations.
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How do I know there is such an orthonormal basis?
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First I made a new orthonormal base for the coordinate system using the plane.
Blog text (12) -
First of all, that it has an orthonormal basis of eigen states.
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There is a set of orthonormal eigenvectors of A.
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You project it on these K orthonormal vectors Q sub I.
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For that purpose, it might be good if you could make the references to Alicorn's, orthonormal's, and Eliezer's proposed explanations into links to them.
Blog text (11) -
DWT filters are designed as orthonormal or bi-orthogonal and can be devised as a separable transform, which makes it computationally efficient.
Academic text (2016) -
In linear algebra, an orthonormal set of vectors can be used to simplify complex calculations.
Surface Forms
Morphology
Etymology
The word orthonormal comes from ortho 'straight' or 'right' (the same root as orthodontist and orthodox) and normal 'standard' or, in geometry, 'perpendicular'. In math it describes vectors that are 'straight' to each other (at right angles) and each have length one, so the name tells you they are both perpendicular and of length one.