differential \dif`fer*en"tial\, a. [Cf. F. diff['e]rentiel.]
1. Relating to or indicating a difference; creating a
difference; discriminating; special; as, differential
characteristics; differential duties; a differential rate.
[1913 Webster]
For whom he produced differential favors. --Motley.
[1913 Webster]
2. (Math.) Of or pertaining to a differential, or to
differentials.
[1913 Webster]
3. (Mech.) Relating to differences of motion or leverage;
producing effects by such differences; said of mechanism.
[1913 Webster]
Differential calculus. (Math.) See under Calculus.
Differential coefficient, the limit of the ratio of the
increment of a function of a variable to the increment of
the variable itself, when these increments are made
indefinitely small.
Differential coupling, a form of slip coupling used in
light machinery to regulate at pleasure the velocity of
the connected shaft.
Differential duties (Polit. Econ.), duties which are not
imposed equally upon the same products imported from
different countries.
Differential galvanometer (Elec.), a galvanometer having
two coils or circuits, usually equal, through which
currents passing in opposite directions are measured by
the difference of their effect upon the needle.
Differential gearing, a train of toothed wheels, usually an
epicyclic train, so arranged as to constitute a
differential motion.
Differential motion, a mechanism in which a simple
differential combination produces such a change of motion
or force as would, with ordinary compound arrangements,
require a considerable train of parts. It is used for
overcoming great resistance or producing very slow or very
rapid motion.
Differential pulley. (Mach.)
(a) A portable hoisting apparatus, the same in principle
as the differential windlass.
(b) A hoisting pulley to which power is applied through a
differential gearing.
Differential screw, a compound screw by which a motion is
produced equal to the difference of the motions of the
component screws.
Differential thermometer, a thermometer usually with a
U-shaped tube terminating in two air bulbs, and containing
a colored liquid, used for indicating the difference
between the temperatures to which the two bulbs are
exposed, by the change of position of the colored fluid,
in consequence of the different expansions of the air in
the bulbs. A graduated scale is attached to one leg of the
tube.
Differential windlass, or Chinese windlass, a windlass
whose barrel has two parts of different diameters. The
hoisting rope winds upon one part as it unwinds from the
other, and a pulley sustaining the weight to be lifted
hangs in the bight of the rope. It is an ancient example
of a differential motion.
[1913 Webster]
The Collaborative International Dictionary of English v.0.48
differential coefficient
n : the result of mathematical differentiation; the
instantaneous change of one quantity relative to another;
df(x)/dx [syn: derived function, derivative, differential,
first derivative]
WordNet (r) 2.0
|
|
|