Definitions for gradientˈgreɪ di ənt

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

Random House Webster's College Dictionary

gra•di•entˈgreɪ di ənt(n.)

  1. the degree of inclination of a highway, railroad, etc., or the rate of ascent or descent of a stream or river.

    Category: Civil Engineering

  2. an inclined surface; grade; ramp.

  3. the rate of change with respect to distance of a variable quantity, as temperature or pressure, in the direction of maximum change. a curve representing such a rate of change.

    Category: Physics

  4. a differential operator that, operating upon a function of several variables, results in a vector whose coordinates are the partial derivatives of the function.

    Category: Math

    Ref: Abbr.: grad. 2 1

  5. (adj.)rising or descending by regular degrees of inclination.

  6. progressing by walking; stepping with the feet as animals do.

    Category: Zoology

Origin of gradient:

1635–45; < L gradient-, s. of gradiēns, prp. of gradī to walk, go

Princeton's WordNet

  1. gradient(noun)

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

  2. gradient, slope(noun)

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

    "a five-degree gradient"

Wiktionary

  1. gradient(Noun)

    A slope or incline.

  2. gradient(Noun)

    A rate of inclination or declination of a slope.

  3. 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.

  4. gradient(Noun)

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

  5. 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

  6. Origin: From gradiens, present participle of gradi

Webster Dictionary

  1. Gradient(adj)

    moving by steps; walking; as, gradient automata

  2. Gradient(adj)

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

  3. Gradient(adj)

    adapted for walking, as the feet of certain birds

  4. Gradient(noun)

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

  5. Gradient(noun)

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

  6. Gradient(noun)

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

Freebase

  1. 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

  1. 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.


Translations for gradient

Kernerman English Multilingual Dictionary

gradient(noun)

the amount of slope (eg of a road, a railway)

a gradient of 1 in 4.

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