gradient

English

noun
Definitions
  • A slope or incline.
  • A rate of inclination or declination of a slope.
  • (calculus) Of a function y = f(x) or the graph of such a function, the rate of change of y with respect to x equivalently, the inclination to the X axis of the tangent to the curve of the graph.
  • (science) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  • (analysis) A differential operator that maps each point of a scalar field to a vector pointed in the direction of the greatest rate of change of the scalar. Notation for a scalar field φ: ∇φ
  • A gradual change in color. A color gradient; gradation.

Etymology

Derived from Latin gradiēns.

Origin

Latin

gradiēns

Gloss

Timeline

Distribution of cognates by language

Geogrpahic distribution of cognates

Cognates and derived terms