differential

Etymology
Morphologically.

Adjective

 * 1) Of or pertaining to a difference.
 * 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.
 * 1) Having differences in speed or direction of motion.
 * 2)  Of or pertaining to differentiation or the differential calculus.

Translations

 * Bulgarian:
 * Danish: forskels-
 * Finnish:, ;
 * Greek:
 * Polish: różnicowy
 * Spanish:
 * Swedish:


 * Bulgarian:
 * Danish: differentieret
 * Finnish: ; ,
 * Greek:


 * Finnish: erinopeuksinen ; erisuuntainen


 * Bulgarian: диференциален
 * Czech: diferenciální
 * Danish: differential-
 * Finnish:
 * French:
 * German:
 * Greek:
 * Hindi: अवकल
 * Hungarian:
 * Ido: diferenciala
 * Kazakh: дифференциалдық
 * Polish:
 * Portuguese:
 * Russian:
 * Spanish:
 * Swedish:
 * Tagalog: tingirin
 * Turkish:
 * Vietnamese: (微分)

Noun

 * 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, now usually written in  as $$\operatorname{d}\!x$$.
 * 6)  A function giving the change in the linear approximation of $$f$$ at a point $$x$$ over a small interval $$\Delta x$$ or $$\operatorname{d}\!x$$, the function being called the differential of $$f$$ and denoted $$\operatorname{d}\!f(x,\Delta x)$$, $$\operatorname{d}\!f(x)$$, or simply $$\operatorname{d}\!f$$.
 * 7) Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential,, etc.
 * 8)  The Jacobian matrix of a function of several variables.
 * 9)  The pushforward or total derivative of $$\phi$$: a linear map from the tangent space at a point $$x$$ in  $$\phi$$'s domain to the tangent space at $$\phi(x)$$ which is, in a technical sense, the best linear approximation of  $$\phi$$ at $$x$$; denoted $$\operatorname{d}\!\phi_x$$.
 * 10)  Any of several generalizations of the concept(s) above: e.g. the  in the setting of schemes, the  in the theory of Riemann surfaces, etc.
 * 1)  Any of several generalizations of the concept(s) above: e.g. the  in the setting of schemes, the  in the theory of Riemann surfaces, etc.

Translations

 * Danish:
 * Finnish:
 * Greek:
 * Indonesian:
 * Maori: pārōnaki


 * Bulgarian: диференциал
 * Dutch:
 * Finnish:
 * Greek:
 * Hebrew: דיפרנציאל
 * Hungarian:
 * Ido:
 * Indonesian:
 * Norwegian:
 * Bokmål: differensial
 * Nynorsk: differensial
 * Polish:
 * Portuguese:
 * Russian:
 * Spanish:
 * Swedish:
 * Tagalog: tingid

Noun

 * 1)  a differential gear
 * 2)  an infinitesimal change
 * 3)  the differential operator