AskDefine | Define gradient

Dictionary Definition



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



From etyl la gradiens, present participle of gradi



  1. A slope or incline.
  2. A rate of inclination or declination of a slope.
  3. 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. The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  5. 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


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



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

Extensive Definition


  1. 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
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