slovodefinícia
differential coefficient
(encz)
differential coefficient, n:
Differential coefficient
(gcide)
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.
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For whom he produced differential favors. --Motley.
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2. (Math.) Of or pertaining to a differential, or to
differentials.
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3. (Mech.) Relating to differences of motion or leverage;
producing effects by such differences; said of mechanism.
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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.
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differential coefficient
(wn)
differential coefficient
n 1: the result of mathematical differentiation; the
instantaneous change of one quantity relative to another;
df(x)/dx [syn: derived function, derivative,
differential coefficient, differential, {first
derivative}]
podobné slovodefinícia
differential coefficient
(encz)
differential coefficient, n:
Partial differential coefficients
(gcide)
partial \par"tial\ (p[aum]r"shal), a. [F., fr. LL. partials, fr.
L. pars, gen. partis, a part; cf. (for sense 1) F. partiel.
See Part, n.]
1. Of, pertaining to, or affecting, a part only; not general
or universal; not total or entire; as, a partial eclipse
of the moon. "Partial dissolutions of the earth." --T.
Burnet.
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2. Inclined to favor one party in a cause, or one side of a
question, more then the other; biased; not indifferent;
as, a judge should not be partial.
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Ye have been partial in the law. --Mal. ii. 9.
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3. Having a predilection for; inclined to favor unreasonably;
foolishly fond. "A partial parent." --Pope.
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Not partial to an ostentatious display. --Sir W.
Scott.
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4. (Bot.) Pertaining to a subordinate portion; as, a compound
umbel is made up of a several partial umbels; a leaflet is
often supported by a partial petiole.
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Partial differentials, Partial differential coefficients,
Partial differentiation, etc. (of a function of two or more
variables), the differentials, differential coefficients,
differentiation etc., of the function, upon the hypothesis
that some of the variables are for the time constant.

Partial fractions (Alg.), fractions whose sum equals a
given fraction.

Partial tones (Music), the simple tones which in
combination form an ordinary tone; the overtones, or
harmonics, which, blending with a fundamental tone, cause
its special quality of sound, or timbre, or tone color.
See, also, Tone.
[1913 Webster]
differential coefficient
(wn)
differential coefficient
n 1: the result of mathematical differentiation; the
instantaneous change of one quantity relative to another;
df(x)/dx [syn: derived function, derivative,
differential coefficient, differential, {first
derivative}]

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