Complete Definition of "gradient"

English

Etymology
L. from gradior

Pronunciation
audio|en-us-gradient.ogg|Audio (US)

Noun
gradient (plural gradients)
wikipedia

  1. A slope or incline.
  2. A rate of inclination or declination of a slope.
  3. calculus Of a function y = f(x) or the graph of such a function, the rate of change of y with respect to x, that is, the amount by which y changes for a certain (often unit) change in x.
  4. physics The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  5. vector A vector operator that maps each value of a scalar field to a vector equal to the greatest rate of change of the scalar. Notation for a scalar field &phi;: <math>\nabla</math>&phi;

Synonyms
(slope): hill, incline, ramp, slope
(in calculus): slope (of a line)

Derived terms
temperature gradient

Translations

trans-top|slope or incline
Croatian: t-|hr|nagib|m
French: t+|fr|pente|f
trans-mid
Swedish: t|sv|lutning|c
trans-bottom

trans-top|rate of inclination or declination of a slope
Croatian: t-|hr|gradijent|m
trans-mid
Swedish: t|sv|lutning|c
trans-bottom

trans-top|in calculus
Croatian: t-|hr|gradijent|m
French: t+|fr|gradient|m
trans-mid
Portuguese: t-|pt|gradiente|m
trans-bottom

trans-top|in physics
Croatian: t-|hr|gradijent|m
trans-mid
trans-bottom

trans-top|in vector algebra
Croatian: t-|hr|gradijent|m
French: t+|fr|gradient|m
trans-mid
Italian: t-|it|gradiente|m
Swedish: t+|sv|gradient|c
trans-bottom


Swedish

Noun
infl|sv|noun|g=c
sv-noun-reg-er

#context|vector|lang=sv #English|gradient; a vector operator

fr:gradient
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sv:gradient
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zh:gradient

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