gradient
From Wiktionary, the free dictionary
Etymology
From Latin gradiēns, present participle of gradior (“to step, to walk”).
Pronunciation
Noun
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
Coordinate terms
- (calculus, differential operator): curl, divergence, viscid, viscous
Derived terms
Translations
slope or incline
|
rate of inclination or declination of a slope
|
in calculus
|
in physics
|
in vector algebra
|
Adjective
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
Pronunciation
Audio: (file)
Noun
gradient m (plural gradients)
Further reading
- “gradient”, in Trésor de la langue française informatisé [Digitized Treasury of the French Language], 2012.
Etymology
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).
Etymology
Noun
gradient m (definite singular gradienten, indefinite plural gradientar, definite plural gradientane)
- a gradient
References
- “gradient” in The Nynorsk Dictionary.
Etymology
Pronunciation
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
| singular | plural | |
|---|---|---|
| nominative | gradient | gradienty |
| genitive | gradientu | gradientów |
| dative | gradientowi | gradientom |
| accusative | gradient | gradienty |
| instrumental | gradientem | gradientami |
| locative | gradiencie | gradientach |
| vocative | gradiencie | gradienty |
Declension of gradient
Derived terms
adjective
- gradientowy
noun phrase
- gradient geotermiczny
Further reading
- gradient in Polish dictionaries at PWN
Etymology
Noun
gradient m (plural gradienți)
Declension
Declension of gradient
Pronunciation
Noun
gradient m inan
Declension
Declension of gradient
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, 2024
Noun
gradient c
- (mathematical analysis) gradient; a vector operator
Declension
| Declension of gradient | ||||
|---|---|---|---|---|
| Singular | Plural | |||
| Indefinite | Definite | Indefinite | Definite | |
| Nominative | gradient | gradienten | gradienter | gradienterna |
| Genitive | gradients | gradientens | gradienters | gradienternas |
Anagrams
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