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 .
<geometry> At 90 degrees (right angles).
N mutually orthogonalvectorsspan an N-dimensional
vector space, meaning that, any vector in the space can be
expressed as a linear combination of the vectors. This is
true of any set of N linearly independent vectors.
The term is used loosely to mean mutually independent or well
separated. It is used to describe sets of primitives or
capabilities that, like linearly independent vectors in
geometry, span the entire "capability space" and are in some
sense non-overlapping or mutually independent. For example,
in logic, the set of operators "not" and "or" is described as
orthogonal, but the set "nand", "or", and "not" is not
(because any one of these can be expressed in terms of the
others).
Also used loosely to mean "irrelevant to", e.g. "This may be
orthogonal to the discussion, but ...", similar to "going off
at a tangent".
See also orthogonal instruction set.
[Jargon File]
(2002-12-02)
Aussprachebeispiele für orthogonal
1. along these orthogonal dimensions
ted-talks_972_TimJackson_2010G-320k
2. orthogonal to the talk.
Algorithmic Gerrymandering _ Brian Olson _ Talks at Google
3. are orthogonal to each other.
Something Deeply Hidden _ Sean Carroll _ Talks at Google
4. when you're sort of orthogonal with someone,
Digital Cosmopolitans _ Ethan Zuckerman _ Talks at Google
5. that there would be an orthogonal dimension
Sensing Attention - Focus, Stress, and Affect at Work _ Gloria Mark _ Talks at Google
1. Flarion holds patents and makes equipment for OFDMA (Orthogonal Frequency Division Multiple Access) technology, which promises data speeds at least 10 times faster than current third–generation phones.