differential

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(dĭf'ə-rĕn'shəl) pronunciation
adj.
  1. Of, relating to, or showing a difference.
  2. Constituting or making a difference; distinctive.
  3. Dependent on or making use of a specific difference or distinction.
  4. Mathematics. Of or relating to differentiation.
  5. Involving differences in speed or direction of motion.
n.
  1. Mathematics.
    1. An infinitesimal increment in a variable.
    2. The product of the derivative of a function containing one variable and the increment of the independent variable.
  2. Differential gear.
  3. A difference between comparable things, as in wage rate or in price.
differentially dif'fer·en'tial·ly adv.


is a noun and adjective with several technical and general meanings. As an adjective it is used principally in combinations such as differential rates of interest, which are not just different rates of interest but rates based on quantifiable differences (such as the type of investment). In the same way, a differential is a determining factor based on some difference, and is not the difference itself. Examples: (noun)
Differentials do exist between blue- and white-collar workers, but they appear to be narrower than in most Western companies—B. Eccleston, 1989
(adjective) As a result the effects of differential mortality rates for men and women are exacerbated—C. Ungerson, 1991
CDs are cheaper in Asia, because the music industry deploys differential pricing-The Register, 2004
It should not be used to mean simply 'distinguishing' or 'making a difference', as in
A small event like mother-in-law coming to stay can have a differential impact on newly marrieds—J. Mattinson et al., 1989.

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In calculus, an expression based on the derivative of a function, useful for approximating certain values of the function. The differential of an independent variable , written , is an infinitesimal change in its value. The corresponding differential of its dependent variable is given by =(+)(). Because the derivative of the function (), (), is equal to the ratio / as approaches zero ( limit), for small values of , (). This formula often enables a quick and fairly accurate approximation to be made for what otherwise would be a tedious calculation.

For more information on differential, visit Britannica.com.

A mechanism which permits a rear axle to turn corners with one wheel rolling faster than the other. An automobile differential is located in the case carrying the rearaxle drive gear (see illustration).

A rear-axle differential. (<i>Chrysler</i>)
A rear-axle differential. (Chrysler)

The differential gears consist of the two side gears carrying the inner ends of the axle shafts, meshing with two pinions mounted on a common pin located in the differential case. The case carries a ring gear driven by a pinion at the end of the drive shaft. This arrangement permits the drive to be carried to both wheels, but at the same time as the outer wheel on a turn overruns the differential case, the inner wheel lags by a like amount.

Special differentials permit one wheel to drive the car by a predetermined amount even though the opposite wheel is on slippery pavement; they have been used on racing cars for years and are now used by a number of car manufacturers. See also Automotive transmission.


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1. Banking. Refers to the 1⁄4 of 1% difference between deposit interest rates paid by commercial banks and rates paid by savings and loans. The rate differential on time deposit accounts, created in the 1960s to give thrift institutions a stable funding source for mortgage lending, was phased out in January 1984.

2. Finance. A broker's commission for handling small, odd-lot orders, which normally is higher than with regular orders.

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adj

Definition: distinctive
Antonyms: same, similar

n

Definition: difference
Antonyms: uniformity

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differential, in the automobile, a set of gears used on the driving (usually rear) axle. The two wheels on the driving axle must be interconnected in order to receive their energy from the same source, the driving shaft; at the same time they must be free to revolve at different speeds when necessary (e.g., when rounding a curve, the outer wheel travels farther and thus must revolve faster than the inner wheel in order to prevent skidding). These two requirements are met by the differential gearing. Furthermore, through it the rotating motion of the driving shaft is transmitted to the axle and the wheels. The axle is in two halves; to each half is attached a wheel at one end and, at the inner end, a gear (see gear). The end of the driving shaft is also equipped with a gear. By an ingenious arrangement of these and other gears, together constituting the differential, a difference in speed of the two wheels is compensated for without a loss of tractive force. A disadvantage of the conventional differential is that when one wheel is on a dry and the other on a slippery surface, the differential causes the wheel on the slippery surface to revolve at double speed while the other wheel remains stationary. This hazard can be avoided by use of a limited slip differential, which feeds power to one wheel when the other wheel starts to slip and thus keeps the automobile moving.

Bibliography

See R. T. Hinkle, Kinematics of Machines (2d ed. 1960).


The amount of adjustment of the delivery location and grade of deliverables that a futures contract permits.  Also known as "allowance. "

Investopedia Says:
Some futures contracts allow the short position to adjust the location of the delivery and/or the grade of commodity being delivered. The permitted differentials are set in relation to a central location or the par basis grade.

Related Links:
For those who are new to futures but want a solid understanding of them, this tutorial explains what futures contracts are, how they work and why investors use them. Futures Fundamentals
Applied primarily to the futures market, this indicator confirms trends and reversals. Discovering Open Interest - Part 1
Volume should inform your use of this indicator in confirming trends and reversals. Discovering Open Interest - Part 2
Learn how to read the volume reports, look at the relation to liquidity and interpret volume using open interest. Interpreting Volume for the Futures Market
There's one simple hurdle in the transition from stock to futures options: learning about product specifications. Options On Futures: A World Of Potential Profit


n. the buttocks; the rear (end). (From the name of the device that joins the axle to the driveshaft in motorized vehicles.)  You're walking like there's something wrong with your differential.

Word Tutor:

differential

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pronunciation

IN BRIEF: n. - A bevel gear that permits rotation of two shafts at different speeds; A quality that sets an object apart from similar things; adj. - Relating to or showing a change.

Tutor's tip: The "differential" (the amount of difference) in their test scores was small, but the loser was "deferential" (marked by courteous yielding or respect) to the winner anyway.

LearnThatWord.com is a free vocabulary and spelling program where you only pay for results!

Exhibiting or depending on a difference.

  • d. absorption — see differential absorption.
  • d. cell count — see differential count.
  • d. diagnosis — the differences between diseases in terms of clinical signs and epidemiological parameters; used as a basis for selecting as a diagnosis the one with the best fit to those seen in the subject.
  • d. leukocyte count — see differential count.
  • d. milk cell counts — count of cells in a milk sample including individual counts of somatic cells and individual leukocyte types.
  • d. thromboplastin time — used in differentiating the cause of hemophilia. Reagents containing either factor VIII or factor IX are added in the partial thromboplastin time test to demonstrate which factor corrects the prolonged clotting time.
Random House Word Menu:

categories related to 'differential'

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Random House Word Menu by Stephen Glazier
For a list of words related to differential, see:
  • Quantities, Relationships, and Operations - differential: product of the derivative of a function of one variable times the small increment of an independent variable
  • Working Parts - differential: gear system that allows outer wheel to travel greater distance than inner wheel during turn


  See crossword solutions for the clue Differential.
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Differential may refer to:

Contents

Mathematics

Natural sciences and engineering

  • Differential (mechanical device), as part of a powertrain and car, the device that allows each of the driving wheels to rotate at different speeds
  • Limited slip differential
  • Electronic differential, an electric motor controller which substitutes its mechanical counterpart with significant advantages in electric vehicle application
  • Differential signaling, in electronics, applies to a method of transmitting electronic signals over a pair of wires to

Social sciences

Medicine

  • Differential diagnosis, the characterization of the underlying cause of pathological states based on specific tests
  • Differential WBC count,the enumeration of each type of white blood cells either manually or using automated analyzers

Other

See also


Translations:

Differential

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Dansk (Danish)
adj. - varierende, forskels-, differentiel, differentiale-, differential-
n. - forskel, lønforskel, renteforskel, differential, differentialfunktion

idioms:

  • differential calculus    differentialregning
  • differential equation    differentialligning
  • differential gear    drabanthjul, differentiale

Nederlands (Dutch)
differentiaal, differentieel(-), loonklasseverschil

Français (French)
adj. - différentiel
n. - écart, (Math) différentielle, écart salarial, (Aut) différentiel

idioms:

  • differential calculus    calcul différentiel
  • differential equation    équation différentielle
  • differential gear    engrenage différentiel

Deutsch (German)
n. - Differential, Wechselgetriebe, Differenz
adj. - unterscheidend, unterschiedlich, Differential-

idioms:

  • differential calculus    Differentialrechnung
  • differential equation    Differentialgleichung
  • differential gear    Wechselgetriebe

Ελληνική (Greek)
n. - (μηχαν.) διαφορικό, μισθολογική διαφορά
adj. - διαφορικός

idioms:

  • differential calculus    (μαθημ.) διαφορικός λογισμός
  • differential equation    (μαθημ.) διαφορική εξίσωση
  • differential gear    (μηχαν.) διαφορικό

Italiano (Italian)
differenziale

idioms:

  • differential calculus    calcolo differenziale
  • differential equation    equazione differenziale
  • differential gear    differenziale

Português (Portuguese)
n. - diferencial (m)
adj. - diferencial

idioms:

  • differential calculus    cálculo (m) diferencial
  • differential equation    equação (f) diferencial
  • differential gear    engrenagem (f) do diferencial

Русский (Russian)
дифференциал, дифференциальный

idioms:

  • differential calculus    дифференциальное исчисление
  • differential equation    дифференциальное уравнение
  • differential gear    дифференциальная передача

Español (Spanish)
adj. - diferencial, constituyendo la diferencia
n. - diferencial, diferencia cuantitativa

idioms:

  • differential calculus    cálculo diferencial
  • differential equation    ecuación diferencial
  • differential gear    diferencial

Svenska (Swedish)
n. - differentiering
adj. - differentiell

中文(简体)(Chinese (Simplified))
差别的, 微分的, 特定的, 差别, 差动齿轮, 微分

idioms:

  • differential calculus    微分学
  • differential equation    微分方程, 微分
  • differential gear    差速齿轮

中文(繁體)(Chinese (Traditional))
adj. - 差別的, 微分的, 特定的
n. - 差別, 差動齒輪, 微分

idioms:

  • differential calculus    微分學
  • differential equation    微分方程, 微分
  • differential gear    差速齒輪

한국어 (Korean)
adj. - 독특한, 미분의, 차이의
n. - 미분, 운임 차이, 협정 임률차

日本語 (Japanese)
n. - 差, 賃金格差, 微分
adj. - 相違を示す, 差別的な, 微分の, 特異な

idioms:

  • differential calculus    微分学
  • differential equation    微分方程式
  • differential gear    差動装置

العربيه (Arabic)
‏(الاسم) الاختلاف بين كميتين من شئ وبخاصه النقود, التفاضل, التفاوت (صفه) تفاضلي, تبايني, تفاوتي‏

עברית (Hebrew)
adj. - ‮שונה, נוגע להפרש קטן עד אין סוף (מתמטיקה), מהווה הבדל מסוים או קשור אליו‬
n. - ‮שוני, דיפרנציאל, הפרשיות, הבדל, הבדל קטן עד אין-סוף בין שני ערכים רצופים של משתנה‬


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auto.howstuffworks.com

Math
mathworld.wolfram.com

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