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Gradient vs Differential - What's the difference?

gradient | differential |

As nouns the difference between gradient and differential

is that gradient is a slope or incline while differential is the differential gear in an automobile etc.

As adjectives the difference between gradient and differential

is that gradient is moving by steps; walking while differential is of, or relating to a difference.

gradient

English

Noun

(en noun) (slope) (wikipedia 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

    equivalently, the inclination to the X axis of the tangent to the curve of the graph.
  • (science) The rate at which a physical quantity increases or decreases relative to change in a given variable, especially distance.
  • (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
  • Synonyms

    * (slope) hill, incline, ramp, slope * (in calculus) slope (of a line )

    Derived terms

    * gradient wind * ruling gradient * supergradient * temperature gradient

    Adjective

    (-)
  • Moving by steps; walking.
  • gradient automata
    (Wilkins)
  • Rising or descending by regular degrees of inclination.
  • the gradient line of a railroad
  • Adapted for walking, as the feet of certain birds.
  • Anagrams

    * * * * ----

    differential

    English

    Adjective

    (en adjective)
  • of, or relating to a difference
  • differential characteristics
  • * Motley
  • For whom he produced differential favours.
  • dependent on, or making a difference; distinctive
  • having differences in speed or direction of motion
  • (mathematics) of, or relating to differentiation, or the differential calculus
  • Noun

    (en noun)
  • the differential gear in an automobile etc
  • a qualitative or quantitative difference between similar or comparable things
  • (mathematics) an infinitesimal change in a variable, or the result of differentiation
  • One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
  • A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
  • (Knight)

    Derived terms

    * differential amplifier * differential analyzer * differential coefficient * differential gear * differential equation * partial differential equation