| slovo | definícia |
integral
(encz) | integral,integrál n: Zdeněk Brož |
integral
(encz) | integral,integrální adj: Zdeněk Brož |
integral
(encz) | integral,nedílný adj: Zdeněk Brož |
integral
(encz) | integral,shrnující [eko.] RNDr. Pavel Piskač |
integral
(gcide) | Fluent \Flu"ent\, n.
1. A current of water; a stream. [Obs.]
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2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the function or integral.
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Integral
(gcide) | Integral \In"te*gral\, a. [Cf. F. int['e]gral. See Integer.]
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1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.
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A local motion keepeth bodies integral. --Bacon.
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2. Essential to completeness; constituent, as a part;
pertaining to, or serving to form, an integer; integrant.
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Ceasing to do evil, and doing good, are the two
great integral parts that complete this duty.
--South.
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3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.
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Integral calculus. See under Calculus.
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Integral
(gcide) | Integral \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.
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2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
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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.
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integral
(wn) | integral
adj 1: existing as an essential constituent or characteristic;
"the Ptolemaic system with its built-in concept of
periodicity"; "a constitutional inability to tell the
truth" [syn: built-in, constitutional, inbuilt,
inherent, integral]
2: constituting the undiminished entirety; lacking nothing
essential especially not damaged; "a local motion keepeth
bodies integral"- Bacon; "was able to keep the collection
entire during his lifetime"; "fought to keep the union
intact" [syn: integral, entire, intact]
3: of or denoted by an integer
n 1: the result of a mathematical integration; F(x) is the
integral of f(x) if dF/dx = f(x) |
| | podobné slovo | definícia |
definite integral
(encz) | definite integral,určitý integrál n: [mat.] |
indefinite integral
(encz) | indefinite integral,neurčitý integrál n: [mat.] |
integral albedo
(encz) | integral albedo,integrální albedo [eko.] RNDr. Pavel Piskač |
integral calculus
(encz) | integral calculus,integrální počet Zdeněk Brož |
integral criterion
(encz) | integral criterion,integrální kritérium [mat.] v.martin |
integrally
(encz) | integrally,integrálně adv: Zdeněk Brožintegrally,neodlučitelně adv: Zdeněk Brož |
integrals
(encz) | integrals,integrály n: pl. Zdeněk Brož |
internal integral starter/generator
(czen) | Internal Integral Starter/Generator,IIS/G[zkr.] [voj.] Zdeněk Brož a
automatický překlad |
definite integral
(gcide) | Integration \In`te*gra"tion\ ([i^]n`t[-e]*gr[=a]"sh[u^]n), n.
[L. integratio a renewing, restoring: cf. F. int['e]gration.]
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1. The act or process of making whole or entire.
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2. (Math.) The operation of finding the primitive function
which has a given function for its differential
coefficient. See Integral.
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Note: The symbol of integration is [integral2l] (standing for
the Latin summa sum), and the integral is also regarded
as the limiting value of the sum of great numbers of
differentials, when the magnitude of the differentials
decreases, and their number increases indefinitely. See
Limit, n. When the summation is made between
specified values of the variable, the result is a
definite integral, and those values of the variable
are the limits of the integral. When the summation is
made successively for two or more variables, the result
is a multiple integral.
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3. In the theory of evolution: The process by which the
manifold is compacted into the relatively simple and
permanent. It is supposed to alternate with
differentiation as an agent in development.
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Elliptic integral
(gcide) | Integral \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.
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2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
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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.
[1913 Webster]Elliptic \El*lip"tic\, Elliptical \El*lip"tic*al\, a. [Gr. ?:
cf. F. elliptique. See Ellipsis.]
1. Of or pertaining to an ellipse; having the form of an
ellipse; oblong, with rounded ends.
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The planets move in elliptic orbits. --Cheyne.
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The billiard sharp who any one catches,
His doom's extremely hard
He's made to dwell
In a dungeon cell
On a spot that's always barred.
And there he plays extravagant matches
In fitless finger-stalls
On a cloth untrue
With a twisted cue
And elliptical billiard balls!
--Gilbert and
Sullivan (The
Mikado: The
More Humane
Mikado Song)
2. Having a part omitted; as, an elliptical phrase.
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3. leaving out information essential to comprehension; so
concise as to be difficult to understand; obscure or
ambiguous; -- of speech or writing; as, an elliptical
comment.
[PJC]
Elliptic chuck. See under Chuck.
Elliptic compasses, an instrument arranged for drawing
ellipses.
Elliptic function. (Math.) See Function.
Elliptic integral. (Math.) See Integral.
Elliptic polarization. See under Polarization.
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Eulerian integrals
(gcide) | Eulerian \Eu*le"ri*an\a.
Pertaining to Euler, a German mathematician of the 18th
century.
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Eulerian integrals, certain definite integrals whose
properties were first investigated by Euler. Eulogic |
Integral
(gcide) | Fluent \Flu"ent\, n.
1. A current of water; a stream. [Obs.]
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2. [Cf. F. fluente.] (Math.) A variable quantity, considered
as increasing or diminishing; -- called, in the modern
calculus, the function or integral.
[1913 Webster]Integral \In"te*gral\, a. [Cf. F. int['e]gral. See Integer.]
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1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.
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A local motion keepeth bodies integral. --Bacon.
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2. Essential to completeness; constituent, as a part;
pertaining to, or serving to form, an integer; integrant.
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Ceasing to do evil, and doing good, are the two
great integral parts that complete this duty.
--South.
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3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.
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Integral calculus. See under Calculus.
[1913 Webster]Integral \In"te*gral\, n.
1. A whole; an entire thing; a whole number; an individual.
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2. (Math.) An expression which, being differentiated, will
produce a given differential. See differential
Differential, and Integration. Cf. Fluent.
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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.
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Integral calculus
(gcide) | Integral \In"te*gral\, a. [Cf. F. int['e]gral. See Integer.]
[1913 Webster]
1. Lacking nothing of completeness; complete; perfect;
uninjured; whole; entire.
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A local motion keepeth bodies integral. --Bacon.
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2. Essential to completeness; constituent, as a part;
pertaining to, or serving to form, an integer; integrant.
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Ceasing to do evil, and doing good, are the two
great integral parts that complete this duty.
--South.
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3. (Math.)
(a) Of, pertaining to, or being, a whole number or
undivided quantity; not fractional.
(b) Pertaining to, or proceeding by, integration; as, the
integral calculus.
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Integral calculus. See under Calculus.
[1913 Webster]Calculus \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.
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2. (Math.) A method of computation; any process of reasoning
by the use of symbols; any branch of mathematics that may
involve calculation.
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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.
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Integral unit
(gcide) | Unit \U"nit\, n. [Abbrev. from unity.]
1. A single thing or person.
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2. (Arith.) The least whole number; one.
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Units are the integral parts of any large number.
--I. Watts.
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3. A gold coin of the reign of James I., of the value of
twenty shillings. --Camden.
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4. Any determinate amount or quantity (as of length, time,
heat, value) adopted as a standard of measurement for
other amounts or quantities of the same kind.
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5. (Math.) A single thing, as a magnitude or number, regarded
as an undivided whole.
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Abstract unit, the unit of numeration; one taken in the
abstract; the number represented by 1. The term is used in
distinction from concrete, or determinate, unit, that is,
a unit in which the kind of thing is expressed; a unit of
measure or value; as 1 foot, 1 dollar, 1 pound, and the
like.
Complex unit (Theory of Numbers), an imaginary number of
the form a + broot-1, when a^2 + b^2 = 1.
Duodecimal unit, a unit in the scale of numbers increasing
or decreasing by twelves.
Fractional unit, the unit of a fraction; the reciprocal of
the denominator; thus, 1/4 is the unit of the fraction
3/4.
Integral unit, the unit of integral numbers, or 1.
Physical unit, a value or magnitude conventionally adopted
as a unit or standard in physical measurements. The
various physical units are usually based on given units of
length, mass, and time, and on the density or other
properties of some substance, for example, water. See
Dyne, Erg, Farad, Ohm, Poundal, etc.
Unit deme (Biol.), a unit of the inferior order or orders
of individuality.
Unit jar (Elec.), a small, insulated Leyden jar, placed
between the electrical machine and a larger jar or
battery, so as to announce, by its repeated discharges,
the amount of electricity passed into the larger jar.
Unit of heat (Physics), a determinate quantity of heat
adopted as a unit of measure; a thermal unit (see under
Thermal). Water is the substance generally employed, the
unit being one gram or one pound, and the temperature
interval one degree of the Centigrade or Fahrenheit scale.
When referred to the gram, it is called the gram degree.
The British unit of heat, or thermal unit, used by
engineers in England and in the United States, is the
quantity of heat necessary to raise one pound of pure
water at and near its temperature of greatest density
(39.1[deg] Fahr.) through one degree of the Fahrenheit
scale. --Rankine.
Unit of illumination, the light of a sperm candle burning
120 grains per hour. Standard gas, burning at the rate of
five cubic feet per hour, must have an illuminating power
equal to that of fourteen such candles.
Unit of measure (as of length, surface, volume, dry
measure, liquid measure, money, weight, time, and the
like), in general, a determinate quantity or magnitude of
the kind designated, taken as a standard of comparison for
others of the same kind, in assigning to them numerical
values, as 1 foot, 1 yard, 1 mile, 1 square foot, 1 square
yard, 1 cubic foot, 1 peck, 1 bushel, 1 gallon, 1 cent, 1
ounce, 1 pound, 1 hour, and the like; more specifically,
the fundamental unit adopted in any system of weights,
measures, or money, by which its several denominations are
regulated, and which is itself defined by comparison with
some known magnitude, either natural or empirical, as, in
the United States, the dollar for money, the pound
avoirdupois for weight, the yard for length, the gallon of
8.3389 pounds avoirdupois of water at 39.8[deg] Fahr.
(about 231 cubic inches) for liquid measure, etc.; in
Great Britain, the pound sterling, the pound troy, the
yard, or 1/108719 part of the length of a second's
pendulum at London, the gallon of 277.274 cubic inches,
etc.; in the metric system, the meter, the liter, the
gram, etc.
Unit of power. (Mach.) See Horse power.
Unit of resistance. (Elec.) See Resistance, n., 4, and
Ohm.
Unit of work (Physics), the amount of work done by a unit
force acting through a unit distance, or the amount
required to lift a unit weight through a unit distance
against gravitation. See Erg, Foot Pound,
Kilogrammeter.
Unit stress (Mech. Physics), stress per unit of area;
intensity of stress. It is expressed in ounces, pounds,
tons, etc., per square inch, square foot, or square yard,
etc., or in atmospheres, or inches of mercury or water, or
the like.
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Integrality
(gcide) | Integrality \In`te*gral"i*ty\, n. [Cf. F. int['e]gralit['e].]
Entireness. [Obs.] --Whitaker.
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Integrally
(gcide) | Integrally \In"te*gral*ly\, adv.
In an integral manner; wholly; completely; also, by
integration.
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multiple integral
(gcide) | Integration \In`te*gra"tion\ ([i^]n`t[-e]*gr[=a]"sh[u^]n), n.
[L. integratio a renewing, restoring: cf. F. int['e]gration.]
[1913 Webster]
1. The act or process of making whole or entire.
[1913 Webster]
2. (Math.) The operation of finding the primitive function
which has a given function for its differential
coefficient. See Integral.
[1913 Webster]
Note: The symbol of integration is [integral2l] (standing for
the Latin summa sum), and the integral is also regarded
as the limiting value of the sum of great numbers of
differentials, when the magnitude of the differentials
decreases, and their number increases indefinitely. See
Limit, n. When the summation is made between
specified values of the variable, the result is a
definite integral, and those values of the variable
are the limits of the integral. When the summation is
made successively for two or more variables, the result
is a multiple integral.
[1913 Webster]
3. In the theory of evolution: The process by which the
manifold is compacted into the relatively simple and
permanent. It is supposed to alternate with
differentiation as an agent in development.
[1913 Webster] |
definite integral
(wn) | definite integral
n 1: the integral of a function over a definite interval |
indefinite integral
(wn) | indefinite integral
n 1: the set of functions F(x) + C, where C is any real number,
such that F(x) is the integral of f(x) |
integral calculus
(wn) | integral calculus
n 1: the part of calculus that deals with integration and its
application in the solution of differential equations and
in determining areas or volumes etc. |
integrality
(wn) | integrality
n 1: the state of being total and complete; "he read the article
in its entirety"; "appalled by the totality of the
destruction" [syn: entirety, entireness, integrality,
totality] |
integrally
(wn) | integrally
adv 1: in an integral manner |
|