orthogonal
The word orthogonal comes from the Greek orthe and gonia, or “right angle.” It was originally used as synonym of perpendicular. This is where the use of “orthogonal” in orthogonal lines, orthogonal circles, and other geometric terms come from.
In the realm of linear algebra, two vectors are orthogonal when their dot product is zero, which gave rise a generalization of two vectors on some inner product space (not necessarily dot product) being orthogonal when their inner product is zero.
There are also particular definitions on the following entries:
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orthogonal polynomials
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In a more broad sense, it can be said that two objects are orthogonal if they do not “coincide” in some way.
Title | orthogonal |
Canonical name | Orthogonal |
Date of creation | 2013-03-22 12:07:30 |
Last modified on | 2013-03-22 12:07:30 |
Owner | akrowne (2) |
Last modified by | akrowne (2) |
Numerical id | 13 |
Author | akrowne (2) |
Entry type | Definition |
Classification | msc 51F20 |
Classification | msc 65F25 |
Classification | msc 15A63 |
Classification | msc 05E35 |
Classification | msc 42C05 |
Classification | msc 33C45 |
Classification | msc 15A57 |