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## gra·di·ent

(grā′dē-ənt)
1. A rate of inclination; a slope.
2. An ascending or descending part; an incline.
3. Physics The rate at which a physical quantity, such as temperature or pressure, changes in response to changes in a given variable, especially distance.
4. Mathematics A vector having coordinate components that are the partial derivatives of a function with respect to its variables.
5. Biology A series of progressively increasing or decreasing differences in the growth rate, metabolism, or physiological activity of a cell, organ, or organism.

[Perhaps grade + -ient (as in quotient).]

(ˈɡreɪdɪənt)
n
1. (Civil Engineering) Also called (esp US): grade a part of a railway, road, etc, that slopes upwards or downwards; inclination
2. (Civil Engineering) 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
3. (General Physics) physics a measure of the change of some physical quantity, such as temperature or electric potential, over a specified distance
4. (Mathematics) maths
a. (of a curve) the slope of the tangent at any point on a curve with respect to the horizontal axis
b. (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 ∇f. Compare curl11, divergence4
sloping uniformly

## gra•di•ent

(ˈgreɪ 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.
2. an inclined surface; grade; ramp.
3.
a. the rate of change with respect to distance of a variable quantity, as temperature or pressure, in the direction of maximum change.
b. a curve representing such a rate of change.
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. Abbr.: grad. Symbol:
5. rising or descending by regular degrees of inclination.
6. progressing by walking; stepping with the feet as animals do.
Closely spaced contour lines on the right indicate a steeper gradient than the more loosely spaced lines on the left.

## gra·di·ent

(grā′dē-ənt)
1. 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.
2. The rate at which a physical quantity, such as temperature or pressure changes over a distance.

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.
ThesaurusAntonymsRelated WordsSynonymsLegend:

noun a hill with a gradient of 1 in 3

noun
Deviation from a particular direction:
Translations
درجَة المَيْل أو الأنْحِدارمُنْحَدَر
sklonstupeň sklonu
lejtõsség
hallihalli, hallagráîa, stigull
nogāzeslīpums
stupeň sklonu

[ˈgreɪdɪənt] N (esp Brit) →
a gradient of one in sevenuna pendiente del uno por siete

[ˈgreɪdiənt] n
(= slope) →
(GEOMETRY)

n (esp Brit) → Neigung f; (upward also) → Steigung f; (downward also) → Gefälle nt; a gradient of 1 in 10eine Steigung/ein Gefälle von 10%; what is the gradient?wie groß ist die Steigung/das Gefälle?; what is the gradient of the hill?welche Steigung/welches Gefälle hat der Berg?

[ˈgreɪdɪənt] n
a gradient of 1 in 7 → una pendenza del 7 per cento
b. (Math, Phys) →