# gradient

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Related to gradient: concentration gradient, divergence

## gra·di·ent

(grā′dē-ənt)*n.*

*Abbr.*

**grad.**

**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.

## gradient

(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 curl

^{11}, divergence

^{4}

*adj*

sloping uniformly

[C19: from Latin

*gradiēns*stepping, from*gradī*to go]## 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:*∂

*adj.*

**5.**rising or descending by regular degrees of inclination.

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

[1635–45; < Latin

*gradient-,*s. of*gradiēns,*present participle of*gradī*to walk, go]**gradient**

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.

## 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.

ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | gradient - a graded change in the magnitude of some physical quantity or dimensionchange - a relational difference between states; especially between states before and after some event; "he attributed the change to their marriage" concentration gradient - a gradient in concentration of a solute as a function of distance through a solution; "the movement of a solute down its concentration gradient is called diffusion" gravity gradient - a gradient in the gravitational forces acting on different parts of a nonspherical object; "the gravity gradient of the moon causes the ocean tides on Earth" temperature gradient - change in temperature as a function of distance (especially altitude) |

2. | gradient - the property possessed by a line or surface that departs from the horizontal; "a five-degree gradient"grade - the gradient of a slope or road or other surface; "the road had a steep grade" gentleness, gradualness - the property possessed by a slope that is very gradual spatial relation, position - the spatial property of a place where or way in which something is situated; "the position of the hands on the clock"; "he specified the spatial relations of every piece of furniture on the stage" |

## gradient

## gradient

*noun*

Translations

**درجَة المَيْل أو الأنْحِدار**

**مُنْحَدَر**

**sklon**

**stupeň sklonu**

**hældning**

**hældningsgrad**

**skråning**

**gradijent**

**nagib**

**lejtõsség**

**halli**

**halli, hallagráîa, stigull**

**nogāze**

**slīpums**

**gradiënt**

**richtingscoëfficient**

**stupeň sklonu**

**gradient**

**lutning**

## gradient

(ˈgreidiənt)*noun*

**1.**the amount of slope (

*eg*of a road, a railway). a gradient of 1 in 4.

**2.**a slope.

## gra·di·ent

*a.*gradiente, línea que indica aumento o disminución en una variable.

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