Differential

English

Etymology

Morphologically Template:Suffix.

Pronunciation

• Template:IPA
• Template:Audio

Adjective

1. Of or pertaining to a difference.

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

Translations

• Bulgarian: Template:T+
• Danish: Template:T
• Finnish: Template:T+, Template:T+; Template:T+
• Greek: Template:T+
• Polish: Template:T
• Spanish: Template:T+
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• Bulgarian: Template:T+
• Danish: Template:T
• Finnish: Template:T+ Template:Q; Template:T+, Template:T+ Template:Q
• Greek: Template:T+

• Finnish: Template:T Template:Q; Template:T Template:Q

• Bulgarian: Template:T
• Czech: Template:T
• Danish: Template:T
• Finnish: Template:T+
• French: Template:T+
• German: Template:T+
• Greek: Template:T+
• Hindi: Template:T
• Hungarian: Template:T+
• Ido: Template:T
• Kazakh: Template:T
• Polish: Template:T+
• Portuguese: Template:T+
• Russian: Template:T+
• Spanish: Template:T+
• Swedish: Template:T+
• Tagalog: Template:T
• Turkish: Template:T+
• Vietnamese: Template:T+ (Template:T)

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. Template:Lb 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 Template:W, now usually written in Template:W as $\mathrm{d}x$.
6. Template:Lb A function giving the change in the linear approximation of $f$ at a point $x$ over a small interval $\mathrm{\Delta }x$ or $\mathrm{d}x$, the function being called the differential of $f$ and denoted $\mathrm{d}f(x,\mathrm{\Delta }x)$, $\mathrm{d}f(x)$, or simply $\mathrm{d}f$.

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   1. Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Template:W, etc.
7. Template:Lb The Jacobian matrix of a function of several variables.
8. Template:Lb The pushforward or total derivative of $\varphi$: a linear map from the tangent space at a point $x$ in $\varphi$'s domain to the tangent space at $\varphi (x)$ which is, in a technical sense, the best linear approximation of $\varphi$ at $x$; denoted $\mathrm{d}{\varphi }_x$.
9. Template:Lb Any of several generalizations of the concept(s) above: e.g. the Template:W in the setting of schemes, the Template:W in the theory of Riemann surfaces, etc.

Translations

• Danish: Template:T+
• Finnish: Template:T+
• Greek: Template:T+
• Indonesian: Template:T+
• Maori: Template:T

• Bulgarian: Template:T
• Dutch: Template:T+
• Finnish: Template:T+
• Greek: Template:T+
• Hebrew: Template:T
• Hungarian: Template:T+
• Ido: Template:T+
• Indonesian: Template:T+
• Norwegian:

  Bokmål: Template:T

  Nynorsk: Template:T

• Polish: Template:T+
• Portuguese: Template:T+
• Russian: Template:T+
• Spanish: Template:T+
• Swedish: Template:T+
• Tagalog: Template:T

Swedish

Noun

1. Template:Lb a differential gear
2. Template:Lb an infinitesimal change
3. Template:Lb the differential operator