Definitions for gradientˈgreɪ di ənt
This page provides all possible meanings and translations of the word gradient
a graded change in the magnitude of some physical quantity or dimension
the property possessed by a line or surface that departs from the horizontal
"a five-degree gradient"
A slope or incline.
A rate of inclination or declination of a slope.
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.
The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
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 u03C6: u03C6
Origin: From gradiens, present participle of gradi
moving by steps; walking; as, gradient automata
rising or descending by regular degrees of inclination; as, the gradient line of a railroad
adapted for walking, as the feet of certain birds
the rate of regular or graded ascent or descent in a road; grade
a part of a road which slopes upward or downward; a portion of a way not level; a grade
the rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient
In vector calculus, the gradient of a scalar field is a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is that rate of increase. In simple terms, the variation in space of any quantity can be represented by a slope. The gradient represents the steepness and direction of that slope. A generalization of the gradient for functions on a Euclidean space that have values in another Euclidean space is the Jacobian. A further generalization for a function from one Banach space to another is the Fréchet derivative.
Dictionary of Military and Associated Terms
The rate of inclination to horizontal expressed as a ratio, such as 1:25, indicating a one unit rise to 25 units of horizontal distance.
Translations for gradient
From our Multilingual Translation Dictionary
- sklon, svahCzech
- εφαπτομένη, συντελεστής διεύθυνσηςGreek
- gradientti, kaltevuusFinnish
- pente, gradientFrench
- àrdachadhScottish Gaelic
- наклон, стрмнинаMacedonian
- gradiënt, richtingscoëfficientDutch
- gradijent, nagibSerbo-Croatian
- gradient, lutningSwedish
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