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orthogonal    
a. 直角的,直交的

直角的,直交的

orthogonal
正交的; 垂直的

orthogonal
正交

orthogonal
adj 1: not pertinent to the matter under consideration; "an
issue extraneous to the debate"; "the price was
immaterial"; "mentioned several impertinent facts before
finally coming to the point" [synonym: {extraneous},
{immaterial}, {impertinent}, {orthogonal}]
2: statistically unrelated
3: having a set of mutually perpendicular axes; meeting at right
angles; "wind and sea may displace the ship's center of
gravity along three orthogonal axes"; "a rectangular
Cartesian coordinate system" [synonym: {orthogonal},
{rectangular}]

Orthogonal \Or*thog"o*nal\, a. [Cf. F. orthogonal.]
Right-angled; rectangular; as, an orthogonal intersection of
one curve with another.
[1913 Webster]

{Orthogonal projection}. See under {Orthographic}.
[1913 Webster]

35 Moby Thesaurus words for "orthogonal":
cube-shaped, cubed, cubic, cubiform, cuboid, diced, foursquare,
normal, oblong, orthodiagonal, orthometric, perpendicular, plumb,
plunging, precipitous, quadrangular, quadrate, quadriform,
quadrilateral, rectangular, rhombic, rhomboid, right-angle,
right-angled, right-angular, sheer, square, steep, straight-up,
straight-up-and-down, tetragonal, tetrahedral, trapezohedral,
trapezoid, up-and-down

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}.

[{Jargon File}]

(2002-12-02)

orthogonal: adj. [from mathematics] Mutually independent; well separated; sometimes,
irrelevant to. Used in a generalization of its mathematical meaning to
describe sets of primitives or capabilities that, like a vector basis in
geometry, span the entire ‘capability space’ of the system and
are in some sense non-overlapping or mutually independent. For example, in
architectures such as the PDP-11 or
VAX where all or nearly all registers can be used
interchangeably in any role with respect to any instruction, the register
set is said to be orthogonal. Or, in logic, the set of operators not and or is 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 in comments on
human discourse: “This may be orthogonal to the discussion,
but....”


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  • ORTHOGONAL Definition Meaning - Merriam-Webster
    The meaning of ORTHOGONAL is intersecting or lying at right angles How to use orthogonal in a sentence
  • Orthogonality - Wikipedia
    Orthogonality is a term with various meanings depending on the context The line segments AB and CD are perpendicular to each other In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity Although many authors use the two terms perpendicular and orthogonal interchangeably, the term perpendicular is more specifically used for lines and planes that
  • ORTHOGONAL Definition Meaning | Dictionary. com
    ORTHOGONAL definition: See examples of orthogonal used in a sentence
  • Orthogonal Vectors: Definition, Formula and Examples
    Orthogonal vectors are a fundamental concept in linear algebra and geometry Orthogonal vectors are vectors that are perpendicular to each other, meaning they meet at a right angle (90 degrees) Two vectors are orthogonal if their dot product is zero In this article, we will learn about, Orthogonal Vectors Definition, Orthogonal Vectors Formula, Orthogonal Vectors Examples and others in detail
  • ORTHOGONAL | definition in the Cambridge English Dictionary
    ORTHOGONAL meaning: 1 relating to an angle of 90 degrees, or forming an angle of 90 degrees 2 relating to an angle of… Learn more
  • Orthogonal - Definition, Meaning Synonyms | Vocabulary. com
    Two lines that are orthogonal are perpendicular or intersecting at a right angle, like a t-square used by draftsmen
  • Perpendicular vs. Orthogonal: Whats the Difference?
    Perpendicular and orthogonal are terms often used in geometry and mathematics to describe certain relationships between lines, planes, or vectors Perpendicular specifically refers to the scenario where two lines or planes meet at a right angle (90 degrees) in Euclidean geometry Orthogonal, while similar in concept, is a broader term used in more advanced mathematics, including vector spaces
  • Orthogonal - definition of orthogonal by The Free Dictionary
    Define orthogonal orthogonal synonyms, orthogonal pronunciation, orthogonal translation, English dictionary definition of orthogonal adj 1 Relating to or composed of right angles 2 Mathematics a Of or relating to a matrix whose transpose equals its inverse b Of or relating to a
  • Orthogonal Definition (Illustrated Mathematics Dictionary)
    Illustrated definition of Orthogonal: In Geometry it means at right angles to Perpendicular Example: in a 2D graph the x axis and y axis are





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