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What does gradient mean?

Looking for the meaning or definition of the word gradient? Here's what it means.

Noun
  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
  4. (sciences) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  5. (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
  6. A gradual change in color. A color gradient; gradation.
Adjective
  1. Moving by steps; walking.
  2. Rising or descending by regular degrees of inclination.
  3. Adapted for walking, as the feet of certain birds.
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