Orthogonality | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-10-04

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Orthogonality


00:00:48 1 Etymology
00:01:28 2 Mathematics and physics
00:01:38 2.1 Definitions
00:04:29 2.2 Euclidean vector spaces
00:05:44 2.3 Orthogonal functions
00:09:12 2.4 Examples
00:09:36 2.4.1 Orthogonal polynomials
00:11:46 2.4.2 Orthogonal states in quantum mechanics
00:12:06 3 Art
00:13:25 4 Computer science
00:14:57 5 Communications
00:16:00 6 Statistics, econometrics, and economics
00:18:18 7 Taxonomy
00:20:01 8 Combinatorics
00:21:32 9 Chemistry and biochemistry
00:21:53 10 System reliability
00:22:14 11 Neuroscience
00:24:02 12 Gaming
00:24:41 13 Other examples
00:25:02 14 See also
00:25:38 15 References
00:26:28 16 Further reading



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SUMMARY
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In mathematics, orthogonality is the generalization of the notion of perpendicularity to the linear algebra of bilinear forms.  Two elements u and v of a vector space with bilinear form B are orthogonal when B(u, v) = 0.  Depending on the bilinear form, the vector space may contain nonzero self-orthogonal vectors. In the case of function spaces, families of orthogonal functions are used to form a basis.
By extension, orthogonality is also used to refer to the separation of specific features of a system. The term also has specialized meanings in other fields including art and chemistry.