What does orthogonal mean?

Definitions for orthogonal
ɔrˈθɒg ə nlor·thog·o·nal

This dictionary definitions page includes all the possible meanings, example usage and translations of the word orthogonal.

Princeton's WordNet

  1. extraneous, immaterial, impertinent, orthogonaladjective

    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"

  2. orthogonaladjective

    statistically unrelated

  3. orthogonal, rectangularadjective

    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"

Wiktionary

  1. orthogonaladjective

    Of two objects, at right angles; perpendicular to each other.

    A chord and the radius that bisects it are orthogonal.

  2. orthogonaladjective

    Statistically independent, with reference to variates.

  3. orthogonaladjective

    Of two or more aspects of a problem, able to be treated separately.

    The content of the message should be orthogonal to the means of its delivery.

  4. orthogonaladjective

    Of two or more problems or subjects, independent of or irrelevant to each other.

  5. Etymology: From Medieval Latin orthogonalis, from orthogonius.

Samuel Johnson's Dictionary

  1. Orthogonaladjective

    Rectangular.

    Etymology: orthogonel, Fr. from orthogon.

ChatGPT

  1. orthogonal

    Orthogonal is a term used in various fields such as mathematics, physics, and computer science, generally denoting a sense of perpendicularity or right angles. In a broader sense, it refers to the concept of independence or non-correlation between objects, dimensions, or variables. The specific definition slightly varies depending on the context it is used in. For instance, in linear algebra, two vectors are said to be orthogonal if their dot product is zero, while in statistics, it can refer to the independence of variables in an experiment.

The New Hacker's Dictionary

  1. orthogonal

    [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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Numerology

  1. Chaldean Numerology

    The numerical value of orthogonal in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of orthogonal in Pythagorean Numerology is: 8

Popularity rank by frequency of use

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Translations for orthogonal

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"orthogonal." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/orthogonal>.

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