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definition of the word gradient

by the Wiktionnary

From Latin gradiens, present participle of gradior (to step, to walk)



gradient (plural gradients)

Wikipedia has an article on:


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

Definition from Wiktionary
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