gradient

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

• IPA^(key): /ˈɡɹeɪdiənt/

• Audio (US):

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• Rhymes: -eɪdiənt

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.

• (slope): hill, incline, ramp, slope, grade
• (calculus, ratio of rates of change): slope (of a line), angular coefficient

• (calculus, differential operator): curl, divergence, viscid, viscous

gradient (not comparable)

1. Moving by steps; walking.
   • 1648, John Wilkins, Mathematical Magick:

     movable and Gradient Automata

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.

• atreding, derating, e-trading, gantried, red giant, redating, treading

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gradient m (plural gradients)

1. gradient

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

• “gradient”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.

From English gradient, from Latin gradiens.

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

1. a gradient

• “gradient” in The Bokmål Dictionary.
• “gradient” in Det Norske Akademis ordbok (NAOB).

From English gradient, from Latin gradiens.

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

1. a gradient

• “gradient” in The Nynorsk Dictionary.

Borrowed from English gradient, from Latin gradiēns.

• IPA^(key): /ˈɡra.djɛnt/

• Audio:

  (file)

• Rhymes: -adjɛnt
• Syllabification: gra‧dient

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)

• gradient in Polish dictionaries at PWN

Borrowed from French gradient.

gradient m (plural gradienți)

1. gradient

• IPA^(key): [ˈɡradi̯ent]

gradient m inan (relational adjective gradientový or gradientný)

1. gradient

• “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, 2003–2025

gradient c

1. (mathematical analysis) gradient; a vector operator

• indraget, tragedin