Gradient in English dictionary

  • gradient

    Meanings and definitions of "Gradient"

    • 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 , that is, the amount by which y changes for a certain (often unit) change in x .
    • (physics) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
    • (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
    • adjective
      Moving by steps; walking.
    • adjective
      Rising or descending by regular degrees of inclination.
    • adjective
      Adapted for walking, as the feet of certain birds.
    • noun
      A slope or incline.
    • noun
      A rate of inclination or declination of a slope.
    • noun
      (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 equivalently, the inclination to the X axis of the tangent to the curve of the graph.
    • noun
      (sciences)
      The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
    • noun
      (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
    • slope or incline
    • rate of inclination or declination of a slope
    • in calculus
    • in physics
    • in vector algebra
    • A gradual progression. For example, a progression from one color to another color, or from one shade to another shade of the same color.
    • The rate of change of a function.
    • noun
      a graded change in the magnitude of some physical quantity or dimension
    • noun
      In mathematics, the vector sum of the partial derivatives with respect to the three coordinate variables x, y, and z of a scalar quantity whose value varies from point to point.
      The Jacobian is the generalization of the gradient for vector-valued functions of several variables and differentiable maps between Euclidean spaces or, more generally, manifolds.
    • noun
      the property possessed by a line or surface that departs from the horizontal; "a five-degree gradient"

    Synonyms of "Gradient" in English dictionary

    slope, spatial relation, position are the top synonyms of "Gradient" in the English thesaurus.

    Grammar and declension of Gradient

    • gradient ( plural  gradients)
    • gradient (not comparable)
    • gradient (plural gradients)
  • Gradient

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