orthogonal


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Related to orthogonal: orthogonal projection, Orthogonal matrix, Orthogonal vectors

orthogonal

[ȯr′thäg·ən·əl]
(computer science)
An area of a computer display in which units of distance are the same horizontally and vertically so that there is no distortion.
A viewing area in which positions are determined by using a cartesian coordinate system with horizontal and vertical axes.
(mathematics)
Perpendicular, or some concept analogous to it.

orthogonal

(geometry)
At 90 degrees (right angles).

N mutually orthogonal vectors span 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.

orthogonal

At right angles. The term is used to describe electronic signals that appear at 90 degree angles to each other. It is also widely used to describe conditions that are contradictory, or opposite, rather than in parallel or in sync with each other.
References in periodicals archive ?
i) Hermite classical orthogonal polynomials with (a,b) = (-[infinity], +[infinity]), A (x) = 1, B (x) = -2x and
In this study, we attempted to further explore the relationship of depolarization to orthogonal components of repolarization in patients with previous MI, with and without recent history of sustained ventricular tachycardia on Holter recordings.
Our method presented below focus on describing the fundamentals of 2-D deformable models along orthogonal curves and their application to 2-D polygonal objects template matching.
The routine procedures of computing, using, and interpreting GRE-V and GRE-Q subscale scores as separate constructs does not demonstrate (or imply) that these subscales are mathematically orthogonal (i.
This work is devoted to a description of a type of orthogonal polynomials in two discrete variables related to representations of the quantum group [U.
SC-FDMA has drawn great attention from the communications industry as an attractive alternative to Orthogonal Frequency Division Multiple Access (OFDMA).
Orthogonal polynomials and special functions have been a subject of research for centuries, and this collection of notes for a summer school held in Coimbra in 2003 introduces a new generation of researchers, in this case doctoral students, to that research, reflecting the advances of current inquiry as well as the breadth of past work.
Polynomials orthogonal with respect to a perturbation of the Freud weight function by the addition of amass point at zero are considered.
Two flavors of Ultra-Wideband (UWB) radio, Direct Sequence (DS) and the WiMedia Alliance version, based on Multiband Orthogonal Frequency Division Multiplexing (MB-OFDM) technology, are competing in the WUSB space.
The 13 new research papers explore asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry, triple groups and Cherednik algebras, lowering and raising operators for special orthogonal polynomials, and the limits of BC-type polynomials as the number of variable goes to infinity.
Above this eccentrically planned plinth, the first floor emerges as an orthogonal brick box that rises to align with the eaves level of the adjacent terrace.
This special volume of ETNA contains 13 selected papers presented at the Third International Workshop on Orthogonal Polynomials, Approximation Theory, and Harmonic Analysis, April 14-18, 2000, in the Hotel Chiemgauer Hof, Inzell, Germany.