gradient

See also: Gradient and gradiënt

English

Etymology

From Latin gradiēns, present participle of gradior (“to step, to walk”).

Pronunciation

  • IPA(key): /ˈɡɹeɪdiənt/
  • Audio (US):(file)
  • Rhymes: -eɪdiənt

Noun

gradient (plural gradients)

  1. A slope or incline.
  2. A rate of inclination or declination of a slope.
    • 1950 November, H. P. White, “The Furka-Oberalp Railway”, in Railway Magazine, page 767:
      Just beyond that station the first step is encountered and the rack resorted to, taking the line on a gradient of 1 in 9 over a steeply inclined bridge and through a spiral tunnel.
  3. (calculus, of a function) The ratio of the rates of change of a dependent variable and an independent variable, the slope of a curve's tangent.
  4. (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  5. (calculus) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
  6. A gradual change in color; a color gradient; gradation.

Synonyms

Coordinate terms

Derived terms

Translations

Adjective

gradient (not comparable)

  1. Moving by steps; walking.
  2. Rising or descending by regular degrees of inclination.
    the gradient line of a railroad
  3. Adapted for walking, as the feet of certain birds.
  4. (calculus, optimization) Using the gradient to solve a problem.

Translations

Anagrams

French

Pronunciation

Noun

gradient m (plural gradients)

  1. gradient

Descendants

  • → Persian: گرادیان (gerâdyân)
  • → Turkish: gradyan

Further reading

Norwegian Bokmål

Etymology

From English gradient, from Latin gradiens.

Noun

gradient m (definite singular gradienten, indefinite plural gradienter, definite plural gradientene)

  1. a gradient

References

Norwegian Nynorsk

Etymology

From English gradient, from Latin gradiens.

Noun

gradient m (definite singular gradienten, indefinite plural gradientar, definite plural gradientane)

  1. a gradient

References

Polish

Etymology

Etymology tree
Latin gradiēns
English gradientbor.
Polish gradient

    Borrowed from English gradient, from Latin gradiēns.

    Pronunciation

    • IPA(key): /ˈɡra.djɛnt/
    • Audio:(file)
    • Rhymes: -adjɛnt
    • Syllabification: gra‧dient

    Noun

    gradient m inan

    1. (mathematical analysis) gradient (differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar)
    2. gradient (change in color)

    Declension

    Declension of gradient
    singular plural
    nominative gradient gradienty
    genitive gradientu gradientów
    dative gradientowi gradientom
    accusative gradient gradienty
    instrumental gradientem gradientami
    locative gradiencie gradientach
    vocative gradiencie gradienty

    Derived terms

    adjective
    • gradientowy
    noun phrase
    • gradient geotermiczny

    Further reading

    • “gradient”, in Polish dictionaries at PWN‎[1] (in Polish)

    Romanian

    Etymology

      Borrowed from French gradient.

      Noun

      gradient m (plural gradienți)

      1. gradient

      Declension

      singular plural
      indefinite definite indefinite definite
      nominative-accusative gradient gradientul gradienți gradienții
      genitive-dative gradient gradientului gradienți gradienților
      vocative gradientule gradienților

      Slovak

      Pronunciation

      • IPA(key): /ɡradient/, [ˈɡradient]
      • Rhymes: -ient
      • Hyphenation: gra‧di‧ent

      Noun

      gradient m inan (relational adjective gradientový or gradientný)

      1. gradient

      Declension

      Declension of gradient
      (pattern dub)
      singularplural
      nominativegradientgradienty
      genitivegradientugradientov
      dativegradientugradientom
      accusativegradientgradienty
      locativegradientegradientoch
      instrumentalgradientomgradientmi

      Further reading

      • “gradient”, in Slovníkový portál Jazykovedného ústavu Ľ. Štúra SAV [Dictionary portal of the Ľ. Štúr Institute of Linguistics, Slovak Academy of Science] (in Slovak), https://slovnik.juls.savba.sk, 2003–2026

      Swedish

      Noun

      gradient c

      1. (mathematical analysis) gradient; a vector operator

      Declension

      Declension of gradient
      nominative genitive
      singular indefinite gradient gradients
      definite gradienten gradientens
      plural indefinite gradienter gradienters
      definite gradienterna gradienternas

      Anagrams

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