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gradient

noun

Meaning

  • 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 equivalently, the inclination to the X axis of the tangent to the curve of the graph.

  • The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.

  • 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.

Synonyms

angular,
coefficient,
slope,
hill,
incline,
ramp,
slope

adjective

Meaning

  • Moving by steps; walking.

    "gradient automata"

  • Rising or descending by regular degrees of inclination.

    "the gradient line of a railroad"

  • Adapted for walking, as the feet of certain birds.