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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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英文字典中文字典相關資料:
  • Orthogonality - Wikipedia
    In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity
  • ORTHOGONAL Definition Meaning - Merriam-Webster
    The meaning of ORTHOGONAL is intersecting or lying at right angles How to use orthogonal 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
  • ORTHOGONAL Definition Meaning | Dictionary. com
    The word orthogonal comes from the Greek orthogōnios meaning "right-angled " While this word is used to describe lines that meet at a right angle, it also describes events that are statistically independent, or do not affect one another in terms of outcome
  • ORTHOGONAL | definition in the Cambridge English Dictionary
    In this sense, intelligence and final goals are "orthogonal"; that is: more or less any level of intelligence could in principle be combined with more or less any final goal
  • Difference between Perpendicular, Orthogonal and Normal
    In 4-space, for two 2-dimensional planes through the origin to be orthogonal, means that all nonzero vectors in one plane are at right angles to all nonzero vectors in the other plane
  • Orthogonal - Definition, Meaning Synonyms | Vocabulary. com
    The word orthogonal comes from the Greek orthogōnios meaning "right-angled " While this word is used to describe lines that meet at a right angle, it also describes events that are statistically independent, or do not affect one another in terms of outcome
  • Orthogonal Meaning: A Simple Explanation - CompleteEra
    Orthogonal Meaning: A Simple Explanation Table of Contents What Does Orthogonal Mean? Orthogonal vs Parallel Applications of Orthogonality How to Check Orthogonality Common Misconceptions About Orthogonality Getting Started with Orthogonality Conclusion What Does Orthogonal Mean? Orthogonal means something that is at a right angle to another thing In mathematics, two lines or vectors are
  • Orthogonal — Definition, Formula Examples
    Orthogonal means perpendicular — two vectors, lines, or objects are orthogonal when they meet at a 90° angle In vector math, two vectors are orthogonal if and only if their dot product equals zero
  • Perpendicular vs. Orthogonal: Whats the Difference?
    Perpendicular vs Orthogonal: What's the Difference? Perpendicular refers to lines or planes meeting at a right angle, while orthogonal extends to abstract concepts and dimensions, implying independence or no interaction





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