gradient

== English == === Etymology === From Latin gradiēns, present participle of gradior (“to step, to walk”). === Pronunciation === IPA(key): /ˈɡɹeɪdiənt/ Rhymes: -eɪdiənt === Noun === gradient (plural gradients) A slope or incline. A rate of inclination or declination of a slope. (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. (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance. (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 A gradual change in color; a color gradient; gradation. ==== Synonyms ==== (slope): hill, incline, ramp, slope, grade (calculus, ratio of rates of change): slope (of a line), angular coefficient ==== Coordinate terms ==== (calculus, differential operator): curl, divergence, viscid, viscous ==== Derived terms ==== ==== Translations ==== === Adjective === gradient (not comparable) Moving by steps; walking. Rising or descending by regular degrees of inclination. Adapted for walking, as the feet of certain birds. (calculus, optimization) Using the gradient to solve a problem. ==== Translations ==== === Anagrams === atreding, derating, e-trading, gantried, red giant, redating, treading == French == === Pronunciation === === Noun === gradient m (plural gradients) gradient ==== Descendants ==== → Persian: گرادیان (gerâdyân) → Turkish: gradyan === Further reading === “gradient”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012 == Norwegian Bokmål == === Etymology === From English gradient, from Latin gradiens. === Noun === gradient m (definite singular gradienten, indefinite plural gradienter, definite plural gradientene) a gradient === References === “gradient” in The Bokmål Dictionary. “gradient” in Det Norske Akademis ordbok (NAOB). == Norwegian Nynorsk == === Etymology === From English gradient, from Latin gradiens. === Noun === gradient m (definite singular gradienten, indefinite plural gradientar, definite plural gradientane) a gradient === References === “gradient” in The Nynorsk Dictionary. == Polish == === Etymology === Borrowed from English gradient, from Latin gradiēns. === Pronunciation === IPA(key): /ˈɡra.djɛnt/ Rhymes: -adjɛnt Syllabification: gra‧dient === Noun === gradient m inan (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) gradient (change in color) ==== Declension ==== ==== Derived terms ==== === Further reading === gradient in Polish dictionaries at PWN == Romanian == === Etymology === Borrowed from French gradient. === Noun === gradient m (plural gradienți) gradient ==== Declension ==== == Slovak == === Pronunciation === IPA(key): /ɡradient/, [ˈɡradient] Rhymes: -ient Hyphenation: gra‧di‧ent === Noun === gradient m inan (relational adjective gradientový or gradientný) gradient ==== Declension ==== === 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 (mathematical analysis) gradient; a vector operator ==== Declension ==== === Anagrams === indraget, tragedin