gradient
Definition from Wiktionary, the free dictionary
Contents |
English [edit]
Etymology [edit]
From Latin gradiens, present participle of gradior (“to step, to walk”)
Pronunciation [edit]
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Audio (US) (file)
Noun [edit]
gradient (plural gradients)
- A slope or incline.
- A rate of inclination or declination of a slope.
- (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.
- (physics) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- (vector algebra) 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 φ:
φ
Synonyms [edit]
Derived terms [edit]
Translations [edit]
slope or incline
rate of inclination or declination of a slope
in calculus
|
in physics
in vector algebra
Anagrams [edit]
Swedish [edit]
Noun [edit]
gradient c
- (vector algebra) gradient; a vector operator
Declension [edit]
Declension of gradient
| singular | plural | |||
|---|---|---|---|---|
| Common | indefinite | definite | indefinite | definite |
| nominative | gradient | gradienten | gradienter | gradienterna |
| genitive | gradients | gradientens | gradienters | gradienternas |
φ