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:
- •
-
•
orthogonal polynomials
- •
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 |