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单词 finite
释义

finiteadj.n.

Brit. /ˈfʌɪnʌɪt/, U.S. /ˈfaɪˌnaɪt/
Forms: Also Middle English–1500s fynyte.
Etymology: < Latin fīnītus, past participle of fīnīre to put an end to, bound, limit, < fīnis end, limit.
A. adj.
1. Fixed, determined, definite. Obsolete.
ΘΚΠ
the world > time > change > absence of change, changelessness > stability, fixity > [adjective]
truea1225
certain1297
standing1457
surec1475
stable1481
finite1493
resident1525
determinate1526
staid?1541
constantc1550
undiscomfitablea1555
inveterate1563
sound1565
unwanderinga1569
fixed1574
undisturbable1577
wishly1578
unremovable1579
inveterated1597
immoved1599
rigid1610
staple1621
consistent1648
irradicable1728
incoercible1756
hard and fast1822
unstrangulable1824
lockstep1831
statical1853
static1856
flatline1946
the world > relative properties > kind or sort > individual character or quality > the quality of being specific > [adjective] > definite or determinate
firm1377
determinatec1386
certain1393
determinablec1400
precisec1443
finite1493
well-defined1551
definite1553
determined1570
set1594
perfixed1601
formed1605
punctual1615
well-marked1620
definitive1624
determinated1635
determinativea1676
clear-cut1843
1493 Festivall (1515) 79 There was made a fynyte loveday betwene the kyng & Thomas.
1603 P. Holland tr. Plutarch Morals 1191 Giving us assurance of that which is finite and determinate.
1680 H. More Apocalypsis Apocalypseos 334 A finite vast number is here put for an indefinite numerous multitude.
2.
a. Having bounds, ends, or limits; bounded, limited; opposed to infinite.
ΘΚΠ
the world > relative properties > quantity > greatness of quantity, amount, or degree > high or intense degree > [adjective] > limit or threshold > limited
finite1587
1587 Sir P. Sidney & A. Golding tr. P. de Mornay Trewnesse Christian Relig. iv. 48 For if any of them [sc. perfections] be finite, then is he not infinite.
1651 T. Hobbes Leviathan i. iii. 11 Whatsoever we imagine, is Finite.
1692 R. Bentley Boyle Lect. vi. 21 That supposed Infinite Duration will..be limited at two Extremes..and consequently must needs be Finite.
1854 H. Moseley Lect. Astron. (ed. 4) iii. 11 The surface of the earth is finite in every direction.
b. Having an existence subject to limitations and conditions.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > finiteness > [adjective]
terminable1548
finite1633
measureda1634
terminate1645
boundsome1674
boundly1817
finited1846
1633 G. Herbert Artillerie in Temple iv I am but finite, yet thine infinitely.
1712 J. Addison Spectator No. 421. ¶7 The whole Heaven or Hell of any finite Being.
1809–10 S. T. Coleridge Friend (1865) 67 Of eternity and self-existence what other likeness is possible in a finite being, but immortality and moral self-determination?
1875 B. Jowett in tr. Plato Dialogues (ed. 2) I. 416 Of the absolute goodness of any finite nature we can form no conception.
3. Mathematics. Of a line: Terminated. Of a quantity, number, distance: Limited, neither infinite nor infinitesimal. Of a group: Containing a limited number of substitutions. Of a solution: Resulting in a finite quantity. finite difference: a difference between two quantities that is finite; spec., any of the differences between the successive values of a function when its independent variable takes on the values of an arithmetical progression. finite points: such as are not at an infinite distance apart. finite series (see quot. c1865). finite state: used attributively in communication theory of any system limited to a finite number of alternative states, or of a type that, even if it contains an infinite number of parts, is producible by a generative device so limited.
ΘΚΠ
the world > relative properties > number > geometry > line > [adjective] > other
finite1570
adscribed1625
comprehending?1677
vertical1704
anharmonic1848
bilinear1851
collinear1863
nodal1863
congruent1864
non-concurrent1888
the world > relative properties > number > mathematical number or quantity > [noun] > relationship between quantities > other
finite difference1807
inverse1837
reciprocator1874
power law1919
recursive relation1934
the world > relative properties > number > mathematical number or quantity > [adjective] > ordinal > finite
finite1840
the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of sets > in abstract algebra > of groups
reducible1585
transitive1861
primitive1888
simple1888
special1888
cyclic1889
intransitive1889
solvable1892
finite1893
perfect1898
Abelian1900
soluble1902
proper1906
trivial1915
equivalent1948
hypercyclic1968
sporadic1968
the world > relative properties > number > mathematics > [noun] > idealized system or process > of specific system
finite state1949
chaos1974
1570 H. Billingsley tr. Euclid Elements Geom. i. f. 5v To produce a right line finite, straight forth continually.
1660 tr. I. Barrow Euclide's Elements i. 9 Upon a finite right line given AB, to describe an equilateral triangle.
1807 J. Brinkley (title) An Investigation of the General Term of an important Series in the Inverse Method of Finite Differences.
1840 D. Lardner Treat. Geom. 276 The distance V F, remains finite.
1860 G. Boole Calculus of Finite Differences viii. 137 It is not true that every result of the Calculus of Finite Differences merges when the increments are indefinitely diminished into a result of the Differential Calculus.
c1865 J. Wylde Circle of Sci. I. 573/1 A series is called a finite series when it has an assignable last term.
1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 139 Two other finite points on the curve.
1885 C. Leudesdorf tr. L. Cremona Elements Projective Geom. 265 The finite segment FF′ is cut or not by the tangents according as the conic is a hyperbola or an ellipse.
1885 H. W. Watson & S. H. Burbury Math. Theory Electr. & Magn. I. 38 It may be proved that dkPi/ dμk is the only finite integral solution in μ of the equation.
1893 A. R. Forsyth Theory Functions Complex Variable 587 These finite discontinuous groups are of importance on the theory of polyhedral functions.
1910 Encycl. Brit. XIV. 545/1 The theorem [sc. Taylor's theorem] was first given by Brook Taylor in his Methodus Incrementorum (1717) as a corollary to a theorem concerning finite differences.
1949 C. E. Shannon & W. Weaver Math. Theory of Communication 27 The output of a finite state transducer driven by a finite state statistical source is a finite state statistical source.
1957 N. Chomsky Syntactic Struct. iii. 18 Suppose that we have a machine that can be in any one of a finite number of different internal states... Any language that can be produced by a machine of this sort we call a finite state language; and we can call the machine itself a finite state grammar.
1957 L. Fox Numerical Solution Two-point Boundary Probl. ii. 21 The rigorous theory of finite differences attaches a remainder term to every finite-difference formula and sometimes..the formula diverges and gives no useful result.
1969 Listener 10 July 44/1 Finite-state rules are the simplest kind of grammar rule; they can be as simple as ‘after “the” produce any noun at all’.
1971 Math. Rev. Feb. 278/1 The authors treat some elementary aspects of the theory of finite differences.
4. Grammar. Of a verb: Limited by number and person; not in the infinitive mood.
ΘΚΠ
the mind > language > linguistics > study of grammar > mood > [adjective] > finite
definite1728
definitive1731
finite1795
1795 L. Murray Eng. Gram. 86 A simple sentence has in it but one subject, and one finite verb.
1798 L. Murray Eng. Gram. (ed. 4) iii. 113 (note) Finite verbs are those to which number and person appertain.
5. Music. (See quot. 1869.)
ΘΚΠ
society > leisure > the arts > music > piece of music > type of piece > piece in specific form > [adjective] > canon
canonical1609
recte and retro1631
cancrizans1782
per recte et retro1812
canonic1854
finite1869
infinite1869
rectus et inversus1938
1869 F. A. G. Ouseley Treat. Counterpoint xv. 105 If the canon is concluded by a coda, it is called Finite.
6. Apparently misused for infinite.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > [adjective]
unbegunc1000
uncircumscriptc1374
endless138.
finitea1400
measurelessc1400
infinite1413
ginningless?1440
immensec1450
unlimitedc1475
infinal?1504
interminate1533
termlessa1542
brinkless1567
without limit1572
uncompassed1577
limitlessa1586
beginningless1587
untermedc1595
boundless1599
illimitate1602
illimited1602
unbeginning1605
incomprehense1606
inconjectable1609
uncircumscribed1610
borderless1611
confinelessa1616
finelessa1616
unconfined1629
uninchoative1649
indefinite1664
incircumscript1677
imprincipiate1683
ensophic1693
interminateda1734
unhorizoned1811
unencompasseda1822
unterminated1853
the world > relative properties > quantity > greatness of quantity, amount, or degree > [adjective] > infinite or unlimited
finitea1400
infinite1413
unmeasuredc1429
immoderatec1508
unbounded1646
unhoopable1672
ensophic1693
unlimited1702
unboundc1725
unpartial1787
the world > the supernatural > deity > Christian God > nature or attributes of God > [adjective] > everlasting or immortal
immortalc1374
finitea1400
infinite1413
eternal1488
a1400 Cov. Myst. (Shaks. Soc.) 93 That it may plese his fynyte deyte Knowleche in this to sendyn us.
B. n.
1.
a. The adjective used absolutely.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > finiteness > [noun]
finiteness1601
finitude1644
finity1675
finite1687
terminability1783
finifica1834
terminableness1846
1687 J. Dryden Hind & Panther i. 7 But how can finite grasp infinity?
1690 J. Locke Ess. Humane Understanding ii. xv. 97 Finite of any Magnitude, holds not any proportion to infinite.
1831 S. T. Coleridge Aids Refl. (new ed.) 155 Reasoning from finite to finite, on a basis of truth..will always lead to truth.
1847 R. W. Emerson Poems 197 My servant Death with solving rite Pours finite into infinite.
b. the finite: that which is finite.
ΚΠ
a1832 F. D. Maurice Moral & Metaphysical Philos. in Encycl. Metrop. (1845) II. 575/1 The finite and the infinite are both alike thoughts of our own.
1875 B. Jowett in tr. Plato Dialogues (ed. 2) IV. 9 To us, the notion of infinity is subsequent rather than prior to the finite.
2. A finite thing; a finite being: see A. 2.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > finiteness > [noun] > a finite thing
finitea1620
the world > existence and causation > existence > state or condition > infiniteness > finiteness > [noun] > that which is finite
finite1846
a1620 M. Fotherby Atheomastix (1622) ii. x. §4. 309 All termes, and all indeterminations, all finites and all infinites.
1648 R. Boyle Seraphic Love (1700) xxvi. 154 It being impossible for an Aggregate of Finites to comprehend..one Infinite.
1846 Clissold tr. Swedenborg Principia i. iii. 81 In relation to things much finited and compounded, this finite is as it were nothing;..nevertheless it is a something and a finited ens.
3. Grammar. A finite verb or verb-form.
ΘΚΠ
the mind > language > linguistics > study of grammar > a part of speech > verb > [noun] > verbs with specific aspects
frequentative1530
inchoative1530
inceptive1612
reiterative1805
iterative1853
continuative1870
stative1874
finite1924
1924 H. E. Palmer Gram. Spoken Eng. ii. 91 A Finite is that part of a sentence which predicates, exclusive however of complements, objects or modifiers.
1963 F. T. Visser Hist. Syntax Eng. Lang. I. iv. 497 The verbs shall, can, may..called anomalous finites or auxiliary verbs.
1965 Language 41 208 If we consider the range of ‘finites’ that can operate at X in the sequence He X (to) come every day.

Draft additions 1997

finite automaton a finite-state automaton.
ΘΚΠ
society > computing and information technology > hardware > computer > [noun] > automaton
automaton1949
finite automaton1956
1956 S. C. Kleene in Shannon & McCarthy Automata Stud. 4 In showing that each regular event is representable in the state of a finite automaton, the automaton we use is a McCullough–Pitts nerve net. Thus their neurons are one example of a kind of ‘universal elements’ for finite automata.
1966 Math. Rev. Jan. 10/1 Markov's result entails the unsolvability of certain mass problems of finite-automata theory.
1985 Sci. Amer. Nov. 16/1 Each flib is equipped with the simplest decision-making apparatus possible. This is the biological equivalent of what computer scientists call a finite automaton.

Draft additions March 2013

finite state machine n. Computing a finite state automaton (automaton n. 4).
ΚΠ
1956 E. F. Moore in C. E. Shannon & J. McCarthy Automata Stud. 152 It is assumed that the machine is still a finite-state machine.
1988 J. D. Barrow & F. J. Tipler Anthropic Cosmol. Princ. (rev. ed.) iii. 189 The memory of a finite state machine is inadequate to describe everything including itself.
2005 Ann. Math. 162 1135 We will describe a finite state machine that produces all tame plane graphs.
This entry has not yet been fully updated (first published 1896; most recently modified version published online March 2022).

finitev.

Brit. /ˈfʌɪnʌɪt/, U.S. /ˈfaɪˌnaɪt/
Etymology: < finite adj.; or < participial stem of Latin fīnīre.
transitive. To make finite; to subject to limitations.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > finiteness > make finite [verb (transitive)]
finite1628
finitize1906
1628 T. Spencer Art of Logick 47 The matter doth finite, and contract the amplitude of the forme.
1861 H. Bushnell Christian Nurture ii. v. 301 The Lord to be in them, there to personate and finite himself.
1867 Eng. Leader 20 Apr. 224 There are two sides—a divine side and a human side.. the latter being finited, attempered, and dimmed.

Derivatives

ˈfinited adj.
ΘΚΠ
the world > existence and causation > existence > state or condition > infiniteness > finiteness > [adjective]
terminable1548
finite1633
measureda1634
terminate1645
boundsome1674
boundly1817
finited1846
1846 Clissold tr. Swedenborg Principia i. iii. 81 In relation to things much finited and compounded, this finite is as it were nothing;..nevertheless it is a something and a finited ens.
1868 Contemp. Rev. 8 617 To find God finited in Nature.
1884 Gosp. Divine Humanity iii. 60 Man in his finited state is dust of the ground.
This entry has not yet been fully updated (first published 1896; most recently modified version published online March 2022).
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adj.n.a1400v.1628
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