# Dictionary Definition

gradient

### Noun

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

2 the property possessed by a line or surface
that departs from the horizontal; "a five-degree gradient" [syn:
slope]

# User Contributed Dictionary

## English

### Etymology

From etyl la gradiens, present participle of gradi### Pronunciation

### Noun

- A slope or incline.
- A rate of inclination or declination of a slope.
- 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.
- The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
- 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 φ: \nablaφ

#### Derived terms

#### Translations

slope or incline

- Croatian: nagib
- Dutch: richtingscoëfficient
- French: pente
- Swedish: lutning

rate of inclination or declination of a slope

- Croatian: gradijent
- Swedish: lutning

in calculus

- Croatian: gradijent
- Dutch: gradiënt
- French: gradient
- Portuguese: gradiente

in physics

- Croatian: gradijent
- Dutch: gradiënt

in vector algebra

- Croatian: gradijent
- Dutch: gradiënt
- French: gradient
- Italian: gradiente
- Swedish: gradient

## Swedish

### Noun

- In the context of "vector|lang=sv": gradient; a vector operator

# Extensive Definition

## References

- Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review

gradient in Bosnian: Gradijent

gradient in Bulgarian: Градиент

gradient in Catalan: Gradient

gradient in Czech: Gradient

gradient in German: Gradient (Mathematik)

gradient in Estonian: Gradient

gradient in Spanish: Gradiente

gradient in Esperanto: Gradiento
(matematiko)

gradient in Persian: گرادیان

gradient in French: Gradient

gradient in Korean: 기울기 (벡터)

gradient in Indonesian: Gradien

gradient in Icelandic: Stigull

gradient in Italian: Gradiente

gradient in Hebrew: גרדיאנט

gradient in Lithuanian: Gradientas

gradient in Dutch: Gradiënt (wiskunde)

gradient in Japanese: 勾配

gradient in Norwegian: Gradient

gradient in Polish: Gradient (matematyka)

gradient in Portuguese: Gradiente

gradient in Romanian: Gradient

gradient in Russian: Градиент

gradient in Simple English: Gradient

gradient in Slovak: Gradient

gradient in Slovenian: Gradient

gradient in Finnish: Gradientti

gradient in Swedish: Gradient

gradient in Vietnamese: Gradient

gradient in Turkish: Gradyan

gradient in Ukrainian: Градієнт

gradient in Chinese: 梯度

# Synonyms, Antonyms and Related Words

bank,
bevel, bezel, chute, easy slope, fleam, gentle slope, glacis, grade, hanging gardens, helicline, hillside, inclination, incline, inclined plane,
launching ramp, lean,
leaning, pitch, ramp, rise, rising, scarp, shelving beach, side, slant, slope, steep slope, stiff climb,
talus, tilt, uprise, uprising, vertical
height