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infinite    音标拼音: ['ɪnfənət]
a. 无限的,无穷的;无数的,极多的;非限定的;无穷的
n. 无限物;无穷

无限的,无穷的;无数的,极多的;非限定的;无穷的无限物;无穷

infinite
无限

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"
[synonym: {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" [synonym: {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" [synonym: {space},
{infinite}]

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 \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]

220 Moby Thesaurus words for "infinite":
Atlantean, Brobdingnagian, Cyclopean, Gargantuan, Herculean,
Homeric, abysmal, ageless, algorismic, algorithmic, aliquot,
all-comprehensive, all-inclusive, all-knowing, all-powerful,
all-present, all-seeing, all-wise, almighty, ample, amplitudinous,
astronomic, astronomical, awesome, bottomless, boundless, broad,
bulky, capacious, cardinal, ceaseless, changeless, coeternal,
colossal, commodious, constant, continual, continuous, cosmic,
countless, creating, creative, dateless, decimal, deep,
differential, digital, elephantine, endless, enormous, epic,
eternal, eternally the same, eterne, even, ever-being,
ever-durable, ever-during, everlasting, everliving, everywhere,
exhaustless, expansive, exponential, extended, extending,
extending everywhere, extensive, far-reaching, figural, figurate,
figurative, finite, fractional, galactic, giant, giantlike,
gigantic, glorious, good, hallowed, heroic, highest, holy, huge,
illimitable, illimited, imaginary, immeasurable, immemorial,
immense, immortal, immutable, impair, impossible, incalculable,
incessant, incomprehensible, indefinite, indestructible,
indeterminable, indeterminate, inestimable, inexhaustible,
infinitely continuous, innumerable, integral, interminable,
interminate, irrational, jumbo, just, king-size, large, limitless,
logarithmic, logometric, loving, luminous, majestic, making,
mammoth, massive, massy, measureless, merciful, mighty, monster,
monstrous, monumental, mountainous, multitudinous, negative,
never-ceasing, never-ending, no end of, nonstop, nonterminating,
nonterminous, numberless, numeral, numerary, numerative, numeric,
numinous, odd, olamic, omnipotent, omnipresent, omniscient, one,
ordinal, outsize, overgrown, pair, perdurable, permanent,
perpetual, positive, possible, prime, prodigious, profound,
radiant, radical, rational, real, reciprocal, roomy, sacred,
sempiternal, shaping, shoreless, sizable, sovereign, spacious,
spreading, steady, stupendous, submultiple, sumless, supreme, surd,
termless, timeless, titanic, towering, transcendental, tremendous,
ubiquitous, unbounded, unceasing, unchanging, uncircumscribed,
uncountable, uncounted, undefined, undying, unending, unfathomable,
unintermitting, uninterrupted, universal, unlimited, unmeasurable,
unmeasured, unnumbered, unplumbed, unremitting, untold, vast,
voluminous, weighty, wide, widespread, without bound, without end,
without limit, without measure, without number

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)


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    Clearly every finite set is countable, but also some infinite sets are countable Note that some places define countable as infinite and the above definition In such cases we say that finite sets are "at most countable"
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  • Proof of infinite monkey theorem. - Mathematics Stack Exchange
    The infinite monkey theorem states that if you have an infinite number of monkeys each hitting keys at random on typewriter keyboards then, with probability 1, one of them will type the complete works of William Shakespeare
  • In an infinite sum, is there an actual term at an infinite position?
    As for what infinite summation means Zeno's first paradox maps to this very problem Infinite summation shows how an infinite number of terms can sometimes add up to a finite number Edit 2: Per a long conversation in the comments, we found that a misunderstanding about the set of natural numbers is at the heart of the confusion
  • When does it make sense to say that something is almost infinite?
    A metal beam is not a continuous object, but a finite collection of molecules An economy is not a distribution of wages and trade preferences, but a finite list of governments, firms, and consumers But when these lists are, one might say, almost infinite, we can understand them more readily as their continuous, infinite counterparts
  • linear algebra - Definition of Infinite Dimensional Vector Space . . .
    In the text i am referring for Linear Algebra , following definition for Infinite dimensional vector space is given The Vector Space V(F) is said to be infinite dimensional vector space or infinitely generated if there exists an infinite subset S of V such that L(S) = V I am having following questions which the definition fails to answer :-





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