# Definitions for **gradient**ˈgreɪ di ənt

### This page provides all possible meanings and translations of the word **gradient**

### Princeton's WordNet

gradient(noun)

a graded change in the magnitude of some physical quantity or dimension

gradient, slope(noun)

the property possessed by a line or surface that departs from the horizontal

"a five-degree gradient"

### GCIDE

Gradient(n.)

The rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient.4. (Chem., Biochem.) The variation of the concentration of a chemical substance in solution through some linear path; also called concentration gradient; -- usually measured in concentration units per unit distance. Concentration gradients are created naturally, e.g. by the diffusion of a substance from a point of high concentration toward regions of lower concentration within a body of liquid; in laboratory techniques they may be made artificially.

### Wiktionary

gradient(Noun)

A slope or incline.

gradient(Noun)

A rate of inclination or declination of a slope.

gradient(Noun)

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.

gradient(Noun)

The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.

gradient(Noun)

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

### Webster Dictionary

Gradient(adj)

moving by steps; walking; as, gradient automata

Gradient(adj)

rising or descending by regular degrees of inclination; as, the gradient line of a railroad

Gradient(adj)

adapted for walking, as the feet of certain birds

Gradient(noun)

the rate of regular or graded ascent or descent in a road; grade

Gradient(noun)

a part of a road which slopes upward or downward; a portion of a way not level; a grade

Gradient(noun)

the rate of increase or decrease of a variable magnitude, or the curve which represents it; as, a thermometric gradient

**Origin:** [L. gradiens, p. pr. of gradi to step, to go. See Grade.]

### Freebase

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

gradient

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.

### Anagrams of gradient »

treading

red giant

redating

derating

# Translations for **gradient**

### From our Multilingual Translation Dictionary

- sklon, svahCzech
- εφαπτομένη, συντελεστής διεύθυνσηςGreek
- gradientti, kaltevuusFinnish
- pente, gradientFrench
- grádánIrish
- àrdachadhScottish Gaelic
- hradiensHungarian
- գրադիենտArmenian
- gradienteItalian
- наклон, стрмнинаMacedonian
- gradiënt, richtingscoëfficientDutch
- gradientePortuguese
- градиентRussian
- gradijent, nagibSerbo-Croatian
- gradient, lutningSwedish

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"gradient." *Definitions.net.* STANDS4 LLC, 2015. Web. 3 Mar. 2015. <http://www.definitions.net/definition/gradient>.