# Differentially

## differential

[dif-uh-ren-shuhl]
1.
of or pertaining to difference or diversity.
2.
constituting a difference; distinguishing; distinctive: a differential feature.
3.
exhibiting or depending upon a difference or distinction.
4.
Physics, Machinery. pertaining to or involving the difference of two or more motions, forces, etc.
5.
Mathematics. pertaining to or involving a derivative or derivatives.
noun
6.
a difference or the amount of difference, as in rate, cost, quantity, degree, or quality, between things that are comparable.
7.
Also called Machinery. an epicyclic train of gears designed to permit two or more shafts to rotate at different speeds, as a set of gears in an automobile permitting the rear wheels to be driven at different speeds when the car is turning.
8.
Mathematics.
a.
a function of two variables that is obtained from a given function, y = f (x ), and that expresses the approximate increment in the given function as the derivative of the function times the increment in the independent variable, written as dy = f′ (x ) dx.
b.
any generalization of this function to higher dimensions.
9.
Commerce.
a.
the difference involved in a differential rate.
10.
Physics. the quantitative difference between two or more forces, motions, etc.: a pressure differential.

Origin:
1640–50; < Medieval Latin differentiālis, equivalent to differenti(a) difference + ālis -al

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World English Dictionary
 differential (ˌdɪfəˈrɛnʃəl) —adj 1. of, relating to, or using a difference 2. constituting a difference; distinguishing 3. maths of, containing, or involving one or more derivatives or differentials 4. physics, engineering relating to, operating on, or based on the difference between two effects, motions, forces, etc: differential amplifier —n 5. a factor that differentiates between two comparable things 6. maths a.  an increment in a given function, expressed as the product of the derivative of that function and the corresponding increment in the independent variable b.  an increment in a given function of two or more variables, f(x1, x2, …xn), expressed as the sum of the products of each partial derivative and the increment in the corresponding variable 7. See also differential gear an epicyclic gear train that permits two shafts to rotate at different speeds while being driven by a third shaft 8. chiefly (Brit) the difference between rates of pay for different types of labour, esp when forming a pay structure within an industry 9. (in commerce) a difference in rates, esp between comparable labour services or transportation routes differ'entially —adv

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American Heritage
Science Dictionary
 differential   (dĭf'ə-rěn'shəl)  Pronunciation Key  An infinitesimal increment in a variable. The product of the derivative of a function of one variable and the increment of the independent variable.
The American Heritage® Science Dictionary