- the degree of inclination, or the rate of ascent or descent, in a highway, railroad, etc.
- an inclined surface; grade; ramp.
- 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.
- Mathematics. a differential operator that, operating upon a function of several variables, results in a vector the coordinates of which are the partial derivatives of the function. Abbreviation: grad. Symbol: ∇
- rising or descending by regular degrees of inclination.
- progressing by walking; stepping with the feet as animals do.
- of a type suitable for walking or running, as the feet of certain birds; gressorial.
Origin of gradient
1635–45; < Latin gradient- (stem of gradiēns), present participle of gradī to walk, go, equivalent to grad- walk + -i- thematic vowel + -ent- -ent
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018
Examples from the Web for gradient
It may have been the gradient of the hills, but somehow her gait had lost something of its buoyancy.The Law-Breakers
The 'ways' sloped at a gradient of one foot in twelve, and had iron surfaces.Chatterbox, 1906
We march to our crises by a gradient, every step of which is a moral decision.My Daily Meditation for the Circling Year
John Henry Jowett
Their gradient is commonly greater than that of the present rivers.The Elements of Geology
William Harmon Norton
The gradient steepened, the snow was hard, and the axe was invoked.Hours of Exercise in the Alps
- Also called (esp US): grade a part of a railway, road, etc, that slopes upwards or downwards; inclination
- Also called (esp US and Canadian): grade a measure of such a slope, esp the ratio of the vertical distance between two points on the slope to the horizontal distance between them
- physics a measure of the change of some physical quantity, such as temperature or electric potential, over a specified distance
- (of a curve) the slope of the tangent at any point on a curve with respect to the horizontal axis
- (of a function, f (x, y, z)) the vector whose components along the axes are the partial derivatives of the function with respect to each variable, and whose direction is that in which the derivative of the function has its maximum value. Usually written: grad f, ∇ f or ∇ fCompare curl (def. 11), divergence (def. 4)
- sloping uniformly
C19: from Latin gradiēns stepping, from gradī to go
Word Origin and History for gradient
Online Etymology Dictionary, © 2010 Douglas Harper
- The rate at which a physical quantity, such as temperature or pressure, changes relative to change in a given variable, especially distance.
- A series of progressively increasing or decreasing differences in the growth rate, metabolism, or physiological activity of a cell, an organ, or an organism.
- The degree to which something inclines; a slope. A mountain road with a gradient of ten percent rises one foot for every ten feet of horizontal length.
- The rate at which a physical quantity, such as temperature or pressure changes over a distance.
- A operator on scalar fields yielding a vector function, where the value of the vector evaluated at any point indicates the direction and degree of change of the field at that point.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.