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orthogonal

or·thog·o·nal
O o

Transcription

    • US Pronunciation
    • US IPA
    • UK Pronunciation
    • UK IPA
    • [awr-thog-uh-nl]
    • /ɔrˈθɒg ə nl/
    • /ɔːˈθɒɡ.ən.əl/
    • US Pronunciation
    • US IPA
    • [awr-thog-uh-nl]
    • /ɔrˈθɒg ə nl/

Definitions of orthogonal word

  • adjective orthogonal Mathematics. Also, orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection. (of a system of real functions) defined so that the integral of the product of any two different functions is zero. (of a system of complex functions) defined so that the integral of the product of a function times the complex conjugate of any other function equals zero. (of two vectors) having an inner product equal to zero. (of a linear transformation) defined so that the length of a vector under the transformation equals the length of the original vector. (of a square matrix) defined so that its product with its transpose results in the identity matrix. 1
  • adjective orthogonal Crystallography. referable to a rectangular set of axes. 1
  • noun orthogonal Of or involving right angles; at right angles. 1
  • noun Definition of orthogonal in Technology (mathematics, jargon)   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. 1
  • adjective orthogonal relating to, consisting of, or involving right angles; perpendicular 0
  • adjective orthogonal (of a pair of vectors) having a defined scalar product equal to zero 0

Information block about the term

Origin of orthogonal

First appearance:

before 1565
One of the 32% oldest English words
1565-75; obsolete orthogon(ium) right triangle (< Late Latin orthogōnium < Greek orthogṓnion (neuter) right-angled, equivalent to ortho- ortho- + -gōnion -gon) + -al1

Historical Comparancy

Parts of speech for Orthogonal

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation

orthogonal popularity

A common word. It’s meaning is known to most children of preschool age. About 89% of English native speakers know the meaning and use the word.
This word is included in each student's vocabulary. Most likely there is at least one movie with this word in the title.

orthogonal usage trend in Literature

This diagram is provided by Google Ngram Viewer

Synonyms for orthogonal

adjective orthogonal

  • rectangular — shaped like a rectangle.
  • equilateral — Having all its sides of the same length.
  • foursquare — consisting of four corners and four right angles; square: a solid, foursquare building.
  • quadrate — square or rectangular.
  • quadratic — square.

Antonyms for orthogonal

adjective orthogonal

  • current — A current is a steady and continuous flowing movement of some of the water in a river, lake, or sea.
  • deceiving — Present participle of deceive.
  • dishonest — not honest; disposed to lie, cheat, or steal; not worthy of trust or belief: a dishonest person.
  • fake — to lay (a rope) in a coil or series of long loops so as to allow to run freely without fouling or kinking (often followed by down).
  • new — other than the former or the old: a new era; in the New World.

Top questions with orthogonal

  • what does orthogonal mean?
  • how to find orthogonal vector?
  • what is orthogonal?
  • what are orthogonal lines?
  • what is an orthogonal matrix?
  • what is orthogonal frequency division multiplexing?
  • what is the meaning of orthogonal?
  • how to determine if a matrix is orthogonal?
  • what is meant by orthogonal?
  • how to find orthogonal projection?
  • what is an orthogonal line?
  • how to prove two vectors are orthogonal?
  • how to find orthogonal basis?
  • what is orthogonal planning?
  • what are orthogonal lines in art?

See also

Matching words

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