slovodefinícia
infinite
(mass)
infinite
- nekonečný
infinite
(encz)
infinite,nekonečný adj: [mat.]
Infinite
(gcide)
Infinite \In"fi*nite\, n.
1. That which is infinite; boundless space or duration;
infinity; boundlessness.
[1913 Webster]

Not till the weight is heaved from off the air, and
the thunders roll down the horizon, will the serene
light of God flow upon us, and the blue infinite
embrace us again. --J.
Martineau.
[1913 Webster]

2. (Math.) An infinite quantity or magnitude.
[1913 Webster]

3. An infinity; an incalculable or very great number.
[1913 Webster]

Glittering chains, embroidered richly o'er
With infinite of pearls and finest gold. --Fanshawe.
[1913 Webster]

4. The Infinite Being; God; the Almighty.
[1913 Webster]
Infinite
(gcide)
Infinite \In"fi*nite\, a. [L. infinitus: cf. F. infini. See
In- not, and Finite.]
[1913 Webster]
1. Unlimited or boundless, in time or space; as, infinite
duration or distance.
[1913 Webster]

Whatever is finite, as finite, will admit of no
comparative relation with infinity; for whatever is
less than infinite is still infinitely distant from
infinity; and lower than infinite distance the
lowest or least can not sink. --H. Brooke.
[1913 Webster]

2. Without limit in power, capacity, knowledge, or
excellence; boundless; immeasurably or inconceivably
great; perfect; as, the infinite wisdom and goodness of
God; -- opposed to finite.
[1913 Webster]

Great is our Lord, and of great power; his
understanding is infinite. --Ps. cxlvii.
5.
[1913 Webster]

O God, how infinite thou art! --I. Watts.
[1913 Webster]

3. Indefinitely large or extensive; great; vast; immense;
gigantic; prodigious.
[1913 Webster]

Infinite riches in a little room. --Marlowe.
[1913 Webster]

Which infinite calamity shall cause
To human life. --Milton.
[1913 Webster]

4. (Math.) Greater than any assignable quantity of the same
kind; -- said of certain quantities.
[1913 Webster]

5. (Mus.) Capable of endless repetition; -- said of certain
forms of the canon, called also perpetual fugues, so
constructed that their ends lead to their beginnings, and
the performance may be incessantly repeated. --Moore
(Encyc. of Music).

Syn: Boundless; immeasurable; illimitable; interminable;
limitless; unlimited; endless; eternal.
[1913 Webster]
infinite
(wn)
infinite
adj 1: having no limits or boundaries in time or space or extent
or magnitude; "the infinite ingenuity of man"; "infinite
wealth" [ant: finite]
2: of verbs; having neither person nor number nor mood (as a
participle or gerund or infinitive); "infinite verb form"
[syn: infinite, non-finite] [ant: finite]
3: too numerous to be counted; "incalculable riches"; "countless
hours"; "an infinite number of reasons"; "innumerable
difficulties"; "the multitudinous seas"; "myriad stars";
"untold thousands" [syn: countless, infinite,
innumerable, innumerous, multitudinous, myriad,
numberless, uncounted, unnumberable, unnumbered,
unnumerable]
4: total and all-embracing; "God's infinite wisdom"
n 1: the unlimited expanse in which everything is located; "they
tested his ability to locate objects in space"; "the
boundless regions of the infinite" [syn: space,
infinite]
infinite
(foldoc)
infinite

1. Bigger than any natural number. There are
various formal set definitions in set theory: a set X is
infinite if

(i) There is a bijection between X and a proper subset of X.

(ii) There is an injection from the set N of natural numbers to
X.

(iii) There is an injection from each natural number n to X.

These definitions are not necessarily equivalent unless we
accept the Axiom of Choice.

2. The length of a line extended indefinitely.

See also infinite loop, infinite set.

[Jargon File]

(1995-03-29)
infinite
(jargon)
infinite
adj.

[common] Consisting of a large number of objects; extreme. Used very
loosely as in: “This program produces infinite garbage.” “He is an infinite
loser.” The word most likely to follow infinite, though, is hair. (It has
been pointed out that fractals are an excellent example of infinite hair.)
These uses are abuses of the word's mathematical meaning. The term
semi-infinite, denoting an immoderately large amount of some resource, is
also heard. “This compiler is taking a semi-infinite amount of time to
optimize my program.” See also semi.
podobné slovodefinícia
infinite
(mass)
infinite
- nekonečný
infinite
(encz)
infinite,nekonečný adj: [mat.]
infinitely
(encz)
infinitely,nekonečně adv: Zdeněk Brožinfinitely,nesmírně adv: Zdeněk Brož
infiniteness
(encz)
infiniteness,nekonečnost n: Zdeněk Brož
infinitesimal
(encz)
infinitesimal,infinitezimální adj: Zdeněk Brožinfinitesimal,nepatrný adj: Zdeněk Brož
infinitesimal calculus
(encz)
infinitesimal calculus, n:
infinitesimally
(encz)
infinitesimally,nepatrně adv: Zdeněk Brož
infinitesimals
(encz)
infinitesimals,drobnosti n: Zdeněk Brož
semi-infinite
(encz)
semi-infinite,nekonečný jedním směrem Zdeněk Brož
infinitezimální
(czen)
infinitezimální,infinitesimaladj: Zdeněk Brož
infinite loop
(gcide)
infinite loop \infinite loop\ n.
1. (Computers) a series of instructions in a computer program
which, when executed, cause a cyclic repetition of the
same instructions, with no other action by the program,
for as long as the program continues to be executed, or
the loop is interrupted by some external action.
[PJC]

Note: An infinite loop is rarely written intentionally except
in cases where the loop is intended merely as a waiting
sequence, to be interrupted by some action of the user.
It is more commonly the result of a serious logical
error on the part of the programmer, resulting in a
failure of the program. Its execution can be halted
only by halting execution of the program, e.g. by
intervention of the operating system or by halting or
resetting the computer. In single-user systems, when
executing an infinite loop, the computer will appear to
halt operation of the program, and the program will be
unresponsive to normal keyboard input, though it may be
interrupted by an unmasked interrupt.
[PJC]
infinite regress
(gcide)
infinite regress \infinite regress\, infinite regression
\infinite regression\n. (Philosophy, Logic)
A causal relationship transmitted through an indefinite
number of terms in a series, with no term that begins the
causal chain.
[PJC]
infinite regression
(gcide)
infinite regress \infinite regress\, infinite regression
\infinite regression\n. (Philosophy, Logic)
A causal relationship transmitted through an indefinite
number of terms in a series, with no term that begins the
causal chain.
[PJC]
Infinitely
(gcide)
Infinitely \In"fi*nite*ly\, adv.
1. Without bounds or limits; beyond or below assignable
limits; as, an infinitely large or infinitely small
quantity.
[1913 Webster]

2. Very; exceedingly; vastly; highly; extremely. "Infinitely
pleased." --Dryden.
[1913 Webster]
Infiniteness
(gcide)
Infiniteness \In"fi*nite*ness\, n.
The state or quality of being infinite; infinity; greatness;
immensity. --Jer. Taylor.
[1913 Webster] infinite regress
Infinitesimal
(gcide)
Infinitesimal \In`fin*i*tes"i*mal\, a. [Cf. F. infinit['e]simal,
fr. infinit['e]sime infinitely small, fr. L. infinitus. See
Infinite, a.]
Infinitely or indefinitely small; less than any assignable
quantity or value; very small.
[1913 Webster]

Infinitesimal calculus, the different and the integral
calculus, when developed according to the method used by
Leibnitz, who regarded the increments given to variables
as infinitesimal.
[1913 Webster]Infinitesimal \In`fin*i*tes"i*mal\, n. (Math.)
An infinitely small quantity; that which is less than any
assignable quantity.
[1913 Webster]
Infinitesimal calculus
(gcide)
Infinitesimal \In`fin*i*tes"i*mal\, a. [Cf. F. infinit['e]simal,
fr. infinit['e]sime infinitely small, fr. L. infinitus. See
Infinite, a.]
Infinitely or indefinitely small; less than any assignable
quantity or value; very small.
[1913 Webster]

Infinitesimal calculus, the different and the integral
calculus, when developed according to the method used by
Leibnitz, who regarded the increments given to variables
as infinitesimal.
[1913 Webster]
Infinitesimal increment
(gcide)
Increment \In"cre*ment\, n. [L. incrementum: cf. F.
incr['e]ment. See Increase.]
[1913 Webster]
1. The act or process of increasing; growth in bulk,
guantity, number, value, or amount; augmentation;
enlargement.
[1913 Webster]

The seminary that furnisheth matter for the
formation and increment of animal and vegetable
bodies. --Woodward.
[1913 Webster]

A nation, to be great, ought to be compressed in its
increment by nations more civilized than itself.
--Coleridge.
[1913 Webster]

2. Matter added; increase; produce; production; -- opposed to
decrement. "Large increment." --J. Philips.
[1913 Webster]

3. (Math.) The increase of a variable quantity or fraction
from its present value to its next ascending value; the
finite quantity, generally variable, by which a variable
quantity is increased.
[1913 Webster]

4. (Rhet.) An amplification without strict climax, as in the
following passage:
[1913 Webster]

Finally, brethren, whatsoever things are true,
whatsoever things are honest, whatsoever things are
just, whatsoever things are pure, whatsoever things
are lovely, whatsoever things are of good report, .
. . think on these things. --Phil. iv. 8.
[1913 Webster]

Infinitesimal increment (Math.), an infinitesimally small
variation considered in Differential Calculus. See
Calculus.

Method of increments (Math.), a calculus founded on the
properties of the successive values of variable quantities
and their differences or increments. It differs from the
method of fluxions in treating these differences as
finite, instead of infinitely small, and is equivalent to
the calculus of finite differences.
[1913 Webster]
Infinitesimally
(gcide)
Infinitesimally \In`fin*i*tes"i*mal*ly\, adv.
By infinitesimals; in infinitely small quantities; in an
infinitesimal degree.
[1913 Webster]
infinite
(wn)
infinite
adj 1: having no limits or boundaries in time or space or extent
or magnitude; "the infinite ingenuity of man"; "infinite
wealth" [ant: finite]
2: of verbs; having neither person nor number nor mood (as a
participle or gerund or infinitive); "infinite verb form"
[syn: infinite, non-finite] [ant: finite]
3: too numerous to be counted; "incalculable riches"; "countless
hours"; "an infinite number of reasons"; "innumerable
difficulties"; "the multitudinous seas"; "myriad stars";
"untold thousands" [syn: countless, infinite,
innumerable, innumerous, multitudinous, myriad,
numberless, uncounted, unnumberable, unnumbered,
unnumerable]
4: total and all-embracing; "God's infinite wisdom"
n 1: the unlimited expanse in which everything is located; "they
tested his ability to locate objects in space"; "the
boundless regions of the infinite" [syn: space,
infinite]
infinitely
(wn)
infinitely
adv 1: without bounds; "he is infinitely wealthy" [syn:
boundlessly, immeasurably, infinitely]
2: continuing forever without end; "there are infinitely many
possibilities" [syn: infinitely, endlessly] [ant:
finitely]
infiniteness
(wn)
infiniteness
n 1: the quality of being infinite; without bound or limit [syn:
infiniteness, infinitude, unboundedness,
boundlessness, limitlessness] [ant: boundedness,
finiteness, finitude]
infinitesimal
(wn)
infinitesimal
adj 1: infinitely or immeasurably small; "two minute whiplike
threads of protoplasm"; "reduced to a microscopic scale"
[syn: infinitesimal, minute]
n 1: (mathematics) a variable that has zero as its limit
infinitesimal calculus
(wn)
infinitesimal calculus
n 1: the branch of mathematics that is concerned with limits and
with the differentiation and integration of functions [syn:
calculus, infinitesimal calculus]
infinite
(foldoc)
infinite

1. Bigger than any natural number. There are
various formal set definitions in set theory: a set X is
infinite if

(i) There is a bijection between X and a proper subset of X.

(ii) There is an injection from the set N of natural numbers to
X.

(iii) There is an injection from each natural number n to X.

These definitions are not necessarily equivalent unless we
accept the Axiom of Choice.

2. The length of a line extended indefinitely.

See also infinite loop, infinite set.

[Jargon File]

(1995-03-29)
infinite impulse response
(foldoc)
Infinite Impulse Response
IIR

A type of digital signal filter, in
which every sample of output is the weighted sum of past and
current samples of input, using all past samples, but the
weights of past samples are an inverse function of the sample
age, approaching zero for old samples.

(2001-06-06)
infinite loop
(foldoc)
infinite loop
endless loop
wound around the axle

(Or "endless loop") Where a piece of program is
executed repeatedly with no hope of stopping. This is nearly
always because of a bug, e.g. if the condition for exiting
the loop is wrong, though it may be intentional if the program
is controlling an embedded system which is supposed to run
continuously until it is turned off. The programmer may also
intend the program to run until interrupted by the user. An
endless loop may also be used as a last-resort error handler
when no other action is appropriate. This is used in some
operating system kernels following a panic.

A program executing an infinite loop is said to spin or
buzz forever and goes catatonic. The program is "wound
around the axle".

A standard joke has been made about each generation's exemplar
of the ultra-fast machine: "The Cray-3 is so fast it can
execute an infinite loop in under 2 seconds!"

See also black hole, recursion, infinite loop.

[Jargon File]

(1996-05-11)
infinite monkey theorem
(foldoc)
Infinite Monkey Theorem

"If you put an infinite number of monkeys at
typewriters, eventually one will bash out the script for
Hamlet." (One may also hypothesise a small number of monkeys
and a very long period of time.) This theorem asserts nothing
about the intelligence of the one random monkey that
eventually comes up with the script (and note that the mob
will also type out all the possible *incorrect* versions of
Hamlet). It may be referred to semi-seriously when justifying
a brute force method; the implication is that, with enough
resources thrown at it, any technical challenge becomes a
one-banana problem.

This theorem was first popularised by the astronomer Sir
Arthur Eddington. It became part of the idiom through the
classic short story "Inflexible Logic" by Russell Maloney, and
many younger hackers know it through a reference in Douglas
Adams's "Hitchhiker's Guide to the Galaxy".

See also: RFC 2795.

[Jargon File]

(2002-04-07)
infinite set
(foldoc)
infinite set

A set with an infinite number of elements.
There are several possible definitions, e.g.

(i) ("Dedekind infinite") A set X is infinite if there exists
a bijection (one-to-one mapping) between X and some proper
subset of X.

(ii) A set X is infinite if there exists an injection from N
(the set of natural numbers) to X.

In the presence of the Axiom of Choice all such definitions
are equivalent.

(1995-03-27)
infinite
(jargon)
infinite
adj.

[common] Consisting of a large number of objects; extreme. Used very
loosely as in: “This program produces infinite garbage.” “He is an infinite
loser.” The word most likely to follow infinite, though, is hair. (It has
been pointed out that fractals are an excellent example of infinite hair.)
These uses are abuses of the word's mathematical meaning. The term
semi-infinite, denoting an immoderately large amount of some resource, is
also heard. “This compiler is taking a semi-infinite amount of time to
optimize my program.” See also semi.
infinite loop
(jargon)
infinite loop
n.

One that never terminates (that is, the machine spins or buzzes forever
and goes catatonic). There is a standard joke that has been made about
each generation's exemplar of the ultra-fast machine: “The Cray-3 is so
fast it can execute an infinite loop in under 2 seconds!”
infinite-monkey theorem
(jargon)
Infinite-Monkey Theorem
n.

“If you put an infinite number of monkeys at typewriters, eventually one
will bash out the script for Hamlet.” (One may also hypothesize a small
number of monkeys and a very long period of time.) This theorem asserts
nothing about the intelligence of the one random monkey that eventually
comes up with the script (and note that the mob will also type out all the
possible incorrect versions of Hamlet). It may be referred to
semi-seriously when justifying a brute force method; the implication is
that, with enough resources thrown at it, any technical challenge becomes a
one-banana problem. This argument gets more respect since Linux
justified the bazaar mode of development.

Other hackers maintain that the Infinite-Monkey Theorem cannot be true —
otherwise Usenet would have reproduced the entire canon of great literature
by now.

In mid-2002, researchers at Plymouth Univesity in England actually put a
working computer in a cage with six crested macaques. The monkeys proceeded
to bash the machine with a rock, urinate on it, and type the letter S a lot
(later, the letters A, J, L, and M also crept in). The results were
published in a limited-edition book, Notes Towards The Complete Works of
Shakespeare. A researcher reported: “They were quite interested in the
screen, and they saw that when they typed a letter, something happened.
There was a level of intention there.” Scattered field reports that there
are AOL users this competent have been greeted with well-deserved
skepticism.

This theorem has been traced to the mathematiciamn Émile Borel in 1913, and
was first popularized by the astronomer Sir Arthur Eddington. It became
part of the idiom of techies via the classic SF short story Inflexible
Logic by Russell Maloney, and many younger hackers know it through a
reference in Douglas Adams's Hitchhiker's Guide to the Galaxy. Some other
references have been collected on the Web. On 1 April 2000 the usage
acquired its own Internet standard, RFC2795 (Infinite Monkey Protocol
Suite).
semi-infinite
(jargon)
semi-infinite
n.

See infinite.
DISTRESS INFINITE
(bouvier)
DISTRESS INFINITE, English practice. A process commanding the sheriff to
distrain a person from time to time, and continually afterwards, by taking
his goods by way of pledge, to enforce the performance of something due from
the party distrained upon. In this case, no distress can be immoderate,
because, whatever its value may be, it cannot be sold, but is to be
immediately restored on satisfaction being made. 3 Bl. Com. 231. See
Distringas.

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