Gradient (noun) Definition, Meaning & Examples

noun
  1. the degree of inclination, or the rate of ascent or descent, in a highway, railroad, etc.
  2. an inclined surface; grade; ramp.
  3. Physics.
    • the rate of change with respect to distance of a variable quantity, as temperature or pressure, in the direction of maximum change.
    • a curve representing such a rate of change.
  4. a differential operator that, operating upon a function of several variables, results in a vector the coordinates of which are the partial derivatives of the function. Abbreviation: grad. Symbol: ∇
adjective
  1. rising or descending by regular degrees of inclination.
  2. progressing by walking; stepping with the feet as animals do.
  3. of a type suitable for walking or running, as the feet of certain birds; gressorial.
noun
  1. a part of a railway, road, etc, that slopes upwards or downwards; inclination
  2. a measure of such a slope, esp the ratio of the vertical distance between two points on the slope to the horizontal distance between them
  3. a measure of the change of some physical quantity, such as temperature or electric potential, over a specified distance
  4. maths
    • (of a curve) the slope of the tangent at any point on a curve with respect to the horizontal axis
    • (of a function, f (x, y, z)) the vector whose components along the axes are the partial derivatives of the function with respect to each variable, and whose direction is that in which the derivative of the function has its maximum value. Usually written: grad f, ∇ f or ∇ f
adjective
  1. sloping uniformly
    Gradient (noun) Definition, Meaning & Examples

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