• Gradient



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

    Full definition of gradient



    (plural gradients)
    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. (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




    1. Moving by steps; walking.gradient automata
    2. Rising or descending by regular degrees of inclination.the gradient line of a railroad
    3. Adapted for walking, as the feet of certain birds.
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