gradient
English edit
Etymology edit
From Latin gradiēns, present participle of gradior (“to step, to walk”).
Pronunciation edit
Noun edit
gradient (plural gradients)
- A slope or incline.
- 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.
- (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 edit
- (slope): hill, incline, ramp, slope, grade
- (calculus, ratio of rates of change): slope (of a line), angular coefficient
Coordinate terms edit
- (calculus, differential operator): curl, divergence, viscid, viscous
Derived terms edit
Translations edit
slope or incline
|
rate of inclination or declination of a slope
|
in calculus
|
in physics
|
in vector algebra
|
change in color
Adjective edit
gradient (not comparable)
- Moving by steps; walking.
- 1648, John Wilkins, Mathematical Magick:
- movable and Gradient Automata
- Rising or descending by regular degrees of inclination.
- the gradient line of a railroad
- Adapted for walking, as the feet of certain birds.
Anagrams edit
French edit
Pronunciation edit
Audio (file)
Noun edit
gradient m (plural gradients)
Further reading edit
- “gradient”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.
Norwegian Bokmål edit
Etymology edit
From English gradient, from Latin gradiens.
Noun edit
gradient m (definite singular gradienten, indefinite plural gradienter, definite plural gradientene)
- a gradient
References edit
- “gradient” in The Bokmål Dictionary.
- “gradient” in Det Norske Akademis ordbok (NAOB).
Norwegian Nynorsk edit
Etymology edit
From English gradient, from Latin gradiens.
Noun edit
gradient m (definite singular gradienten, indefinite plural gradientar, definite plural gradientane)
- a gradient
References edit
- “gradient” in The Nynorsk Dictionary.
Polish edit
Etymology edit
Borrowed from English gradient, from Latin gradiēns.
Pronunciation edit
Noun edit
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 edit
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 edit
adjective
noun phrase
Further reading edit
- gradient in Polish dictionaries at PWN
Romanian edit
Etymology edit
Borrowed from French gradient.
Noun edit
gradient m (plural gradienți)
Declension edit
Declension of gradient
singular | plural | |||
---|---|---|---|---|
indefinite articulation | definite articulation | indefinite articulation | definite articulation | |
nominative/accusative | (un) gradient | gradientul | (niște) gradienți | gradienții |
genitive/dative | (unui) gradient | gradientului | (unor) gradienți | gradienților |
vocative | gradientule | gradienților |
Slovak edit
Pronunciation edit
Noun edit
gradient m inan (genitive singular gradientu, nominative plural gradienty, genitive plural gradientov, declension pattern of dub)
Declension edit
Declension of gradient
singular | plural | |
---|---|---|
nominative | gradient | gradienty |
genitive | gradientu | gradientov |
dative | gradientu | gradientom |
accusative | gradient | gradienty |
locative | gradiente | gradientoch |
instrumental | gradientom | gradientmi |
Further reading edit
- “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, 2024
Swedish edit
Noun edit
gradient c
- (mathematical analysis) gradient; a vector operator
Declension edit
Declension of gradient | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | gradient | gradienten | gradienter | gradienterna |
Genitive | gradients | gradientens | gradienters | gradienternas |