What does "differential" mean?
The differential gear in an automobile, etc.
Differential
/[dɪfəˈɹənʃəɫ]/ adj, noun
adj, noun ·Common ·High school level
Meaning at a glance
- Primary sense: The differential gear in an automobile, etc.
- Grammar: differential is listed as adj, noun.
- Nearest alternatives: differential gear, accelerator, accurate, algorismic.
- Useful contrasts: equality, finite, finite change.
- Usage evidence: In general, little is known about nonlinear second order differential equations.
How to use "differential"
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- Use the example sentence as a context check. If your sentence uses the word differently, confirm that the grammar still fits.
Meaning check
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Source and review context
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "differential" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Before you rely on this definition
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Compare nearby meanings
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Definition decision workflow
1. Identify the role
Check whether "differential" is acting as adj, noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
2. Test the nearest option
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Final meaning check
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Definitions
Noun
- 1 The differential gear in an automobile, etc.
- 2 a bevel gear that permits rotation of two shafts at different speeds; used on the rear axle of automobiles to allow wheels to rotate at different speeds on curves wordnet
- 3 A qualitative or quantitative difference between similar or comparable things.
- 4 a quality that differentiates between similar things wordnet
- 5 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.
Show 8 more definitions
- 6 the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx wordnet
- 7 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.
- 8 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.
- 9 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."
- 10 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.; Any of several generalizations of this concept to functions of several variables or to higher orders: the partial differential, total differential, Gateaux differential, etc.
- 11 The Jacobian matrix of a function of several variables.
- 12 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.
- 13 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.
Adjective
- 1 Of or pertaining to a difference.
"differential characteristics"
- 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.
Adjective
- 1 relating to or showing a difference wordnet
- 2 involving or containing one or more derivatives wordnet
Synonyms
All synonymsExample
"In general, little is known about nonlinear second order differential equations."
Common questions
What is a synonym for "differential"?
Common synonyms include: differential gear, accelerator, accurate, algorismic, algorithmic, aliquot.
How do you use "differential" in a sentence?
In general, little is known about nonlinear second order differential equations.
How do you pronounce "differential"?
Pronounced /[dɪfəˈɹənʃəɫ]/.
Etymology
Morphologically different + -ial.