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differential

verb

  1. calculate percentages of blood cells
  2. constituting or contributing to making a distinction between entities
L1506267 on Wikidata ↗

adjective

  1. infinitesimal quantity in calculus
L227707 on Wikidata ↗

noun

  1. infinitesimal quantity in calculus
L319441 on Wikidata ↗

Wiktionary

Pronunciation: [dɪfəˈɹənʃəɫ]

adj

Etymology: Etymology tree Proto-Indo-European *dwóh₁ Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-yós Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia Proto-Indo-European *h₂el-der.? Proto-Italic *-ālis Latin -ālis Latin differentiālislbor. English differential Learned borrowing from Latin differentiālis. By surface analysis, different + -ial.

  1. Of or pertaining to a difference.

    differential characteristics

    I saved disk space by taking differential backups, which only stored the data that had changed.

  2. Dependent on, or making a difference; distinctive.
  3. Having differences in speed or direction of motion.
  4. Of or pertaining to differentiation or the differential calculus.

noun

Etymology: Etymology tree Proto-Indo-European *dwóh₁ Proto-Indo-European *d(w)is- Proto-Italic *dis- Latin dis- Proto-Indo-European *bʰer- Proto-Indo-European *bʰéreti Proto-Italic *ferō Latin ferō Latin differō Latin differēns Proto-Indo-European *-yós Proto-Italic *-ios Old Latin -ios Latin -ius Latin -ia Latin differentia Proto-Indo-European *h₂el-der.? Proto-Italic *-ālis Latin -ālis Latin differentiālislbor. English differential Learned borrowing from Latin differentiālis. By surface analysis, different + -ial.

  1. The differential gear in an automobile, etc.
  2. A qualitative or quantitative difference between similar or comparable things.
  3. 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.
  4. 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.
  5. A quantity representing an infinitesimal change in a variable, now only used as a heuristic aid except in nonstandard analysis but considered rigorous until the 20th century; a fluxion in Newtonian calculus, now usually written in Leibniz's notation as operatorname d!x.
  6. A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.

    If f(x)#61;x², the differential of f is the function #92;operatorname#123;d#125;#92;#33;f(x,#92;Deltax)#61;f'(x)#92;Deltax#61;2x#92;Deltax.

  7. A function giving the change in the linear approximation of f at a point x over a small interval Δx or operatorname d!x, the function being called the differential of f and denoted operatorname d!f(x,Δx), operatorname d!f(x), or simply operatorname d!f.
  8. The Jacobian matrix of a function of several variables.
  9. The pushforward or total derivative of ϕ: a linear map from the tangent space at a point x in ϕ's domain to the tangent space at ϕ(x) which is, in a technical sense, the best linear approximation of ϕ at x; denoted operatorname d!ϕₓ.
  10. Any of several generalizations of the concept(s) above: e.g. the Kähler differential in the setting of schemes, the quadratic differential in the theory of Riemann surfaces, etc.