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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 | English meaning - Cambridge Dictionary
    ORTHOGONAL definition: 1 relating to an angle of 90 degrees, or forming an angle of 90 degrees 2 relating to an angle of… Learn more
  • What Is Orthogonal? Definition in Math, Stats, and Tech
    Orthogonal means more than just “perpendicular ” Learn how this concept connects geometry, statistics, software design, and wireless tech
  • 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
  • Orthogonality (mathematics) - Wikipedia
    In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity to linear algebra of bilinear forms Two elements u and v of a vector space with bilinear form are orthogonal when Depending on the bilinear form, the vector space may contain null vectors, non-zero self-orthogonal vectors, in which case perpendicularity is replaced with hyperbolic orthogonality
  • Usage of the word orthogonal outside of mathematics
    I always found the use of orthogonal outside of mathematics to confuse conversation You might imagine two orthogonal lines or topics intersecting perfecting and deriving meaning from that symbolize





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