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Constant of integrationConstant Con"stant, n.
1. (Astron.) A number whose value, when ascertained (as by
observation) and substituted in a general mathematical
formula expressing an astronomical law, completely
determines that law and enables predictions to be made of
its effect in particular cases.
2. (Physics) A number expressing some property or condition
of a substance or of an instrument of precision; as, the
dielectric constant of quartz; the collimation constant of
a transit instrument.
Aberration constant, or Constant of aberration (Astron.),
a number which by substitution in the general formula for
aberration enables a prediction to be made of the effect
of aberration on a star anywhere situated. Its value is
20[sec].47.
Constant of integration (Math.), an undetermined constant
added to every result of integration.
Gravitation constant (Physics), the acceleration per unit
of time produced by the attraction of a unit of mass at
unit distance. When this is known the acceleration
produced at any distance can be calculated.
Solar constant (Astron.), the quantity of heat received by
the earth from the sun in a unit of time. It is, on the C.
G. S. system, 0.0417 small calories per square centimeter
per second. --Young. Deintegrate
Deintegrate De*in"te*grate, v. t. [L. deintegrare to impair;
de- + integrare to make whole.]
To disintegrate. [Obs.]
Disintegrable
Disintegrable Dis*in"te*gra*ble, a.
Capable of being disintegrated, or reduced to fragments or
powder.
Argillo-calcite is readily disintegrable by exposure.
--Kirwan.
DisintegrateDisintegrate Dis*in"te*grate, v. t. [imp. & p. p.
Disintegrated; p. pr. & vb. n. Disintegrating.] [L. dis-
+ integratus, p. p. of integrare to renew, repair, fr.
integer entire, whole. See Integer.]
To separate into integrant parts; to reduce to fragments or
to powder; to break up, or cause to fall to pieces, as a
rock, by blows of a hammer, frost, rain, and other mechanical
or atmospheric influences.
Marlites are not disintegrated by exposure to the
atmosphere, at least in six years. --Kirwan. Disintegrate
Disintegrate Dis*in"te*grate, v. i.
To decompose into integrant parts; as, chalk rapidly
disintegrates.
DisintegratedDisintegrate Dis*in"te*grate, v. t. [imp. & p. p.
Disintegrated; p. pr. & vb. n. Disintegrating.] [L. dis-
+ integratus, p. p. of integrare to renew, repair, fr.
integer entire, whole. See Integer.]
To separate into integrant parts; to reduce to fragments or
to powder; to break up, or cause to fall to pieces, as a
rock, by blows of a hammer, frost, rain, and other mechanical
or atmospheric influences.
Marlites are not disintegrated by exposure to the
atmosphere, at least in six years. --Kirwan. DisintegratingDisintegrate Dis*in"te*grate, v. t. [imp. & p. p.
Disintegrated; p. pr. & vb. n. Disintegrating.] [L. dis-
+ integratus, p. p. of integrare to renew, repair, fr.
integer entire, whole. See Integer.]
To separate into integrant parts; to reduce to fragments or
to powder; to break up, or cause to fall to pieces, as a
rock, by blows of a hammer, frost, rain, and other mechanical
or atmospheric influences.
Marlites are not disintegrated by exposure to the
atmosphere, at least in six years. --Kirwan. Disintegration
Disintegration Dis*in`te*gra"tion, n.
(a) The process by which anything is disintegrated; the
condition of anything which is disintegrated.
Specifically
(b) (Geol.) The wearing away or falling to pieces of rocks or
strata, produced by atmospheric action, frost, ice, etc.
Society had need of further disintegration before
it could begin to reconstruct itself locally.
--Motley.
Disintegrator
Disintegrator Dis*in"te*gra`tor, n. (Mech.)
A machine for grinding or pulverizing by percussion.
Elliptic integralIntegral In"te*gral, n.
1. A whole; an entire thing; a whole number; an individual.
2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
Elliptic integral, one of an important class of integrals,
occurring in the higher mathematics; -- so called because
one of the integrals expresses the length of an arc of an
ellipse. Eulerian integralsEulerian Eu*le"ri*ana.
Pertaining to Euler, a German mathematician of the 18th
century.
Eulerian integrals, certain definite integrals whose
properties were first investigated by Euler. Integrability
Integrability In`te*gra*bil"i*ty, n. (Math.)
The quality of being integrable.
Integrable
Integrable In"te*gra*ble, a. (Math.)
Capable of being integrated.
IntegralIntegral In"te*gral, n.
1. A whole; an entire thing; a whole number; an individual.
2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
Elliptic integral, one of an important class of integrals,
occurring in the higher mathematics; -- so called because
one of the integrals expresses the length of an arc of an
ellipse. integralFluent Flu"ent, n.
1. A current of water; a stream. [Obs.]
2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the function or integral. Integral calculusCalculus Cal"cu*lus, n.; pl. Calculi. [L, calculus. See
Calculate, and Calcule.]
1. (Med.) Any solid concretion, formed in any part of the
body, but most frequent in the organs that act as
reservoirs, and in the passages connected with them; as,
biliary calculi; urinary calculi, etc.
2. (Math.) A method of computation; any process of reasoning
by the use of symbols; any branch of mathematics that may
involve calculation.
Barycentric calculus, a method of treating geometry by
defining a point as the center of gravity of certain other
points to which co["e]fficients or weights are ascribed.
Calculus of functions, that branch of mathematics which
treats of the forms of functions that shall satisfy given
conditions.
Calculus of operations, that branch of mathematical logic
that treats of all operations that satisfy given
conditions.
Calculus of probabilities, the science that treats of the
computation of the probabilities of events, or the
application of numbers to chance.
Calculus of variations, a branch of mathematics in which
the laws of dependence which bind the variable quantities
together are themselves subject to change.
Differential calculus, a method of investigating
mathematical questions by using the ratio of certain
indefinitely small quantities called differentials. The
problems are primarily of this form: to find how the
change in some variable quantity alters at each instant
the value of a quantity dependent upon it.
Exponential calculus, that part of algebra which treats of
exponents.
Imaginary calculus, a method of investigating the relations
of real or imaginary quantities by the use of the
imaginary symbols and quantities of algebra.
Integral calculus, a method which in the reverse of the
differential, the primary object of which is to learn from
the known ratio of the indefinitely small changes of two
or more magnitudes, the relation of the magnitudes
themselves, or, in other words, from having the
differential of an algebraic expression to find the
expression itself. Integrally
Integrally In"te*gral*ly, adv.
In an integral manner; wholly; completely; also, by
integration.
Integrator
Integrator In"te*gra`tor, n. (Math. & Mech.)
That which integrates; esp., an instrument by means of which
the area of a figure can be measured directly, or its moment
of inertia, or statical moment, etc., be determined.
RedintegrateRedintegrate Re*din"te*grate (r?*d?n"t?*gr?t), a. [L.
redintegratus, p. p. of redintegrare to restore; pref. red-,
re-, re- + integrare to make whole, to renew, fr. integer
whole. See Integer.]
Restored to wholeness or a perfect state; renewed. --Bacon. Redintegrate
Redintegrate Re*din"te*grate (-gr?t), v. t.
To make whole again; a renew; to restore to integrity or
soundness.
The English nation seems obliterated. What could
redintegrate us again? --Coleridge.
Redintegration
Redintegration Re*din`te*gra"tion (-gr?"sh?n), n. [L.
redintegratio.]
1. Restoration to a whole or sound state; renewal;
renovation. --Dr. H. More.
2. (Chem.) Restoration of a mixed body or matter to its
former nature and state. [Achaic.] --Coxe.
3. (Psychology) The law that objects which have been
previously combined as part of a single mental state tend
to recall or suggest one another; -- adopted by many
philosophers to explain the phenomena of the association
of ideas.
ReintegrateReintegrate Re*in"te*grate (r?*?n"t?*gr?t), v. t. [Pref. re- +
integrate. Cf. Redintegrate.]
To renew with regard to any state or quality; to restore; to
bring again together into a whole, as the parts off anything;
to re["e]stablish; as, to reintegrate a nation. --Bacon. ReintegrationReintegration Re*in`te*gra"tion (-gr?"sh?n), n.
A renewing, or making whole again. See Redintegration.
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