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单词 resolvent
释义

resolventadj.n.

Brit. /rᵻˈzɒlv(ə)nt/, U.S. /rəˈzɔlv(ə)nt/, /riˈzɔlv(ə)nt/, /rəˈzɑlv(ə)nt/, /riˈzɑlv(ə)nt/
Forms:

α. 1600s– resolvent.

β. 1800s– resolvant.

Origin: A borrowing from Latin. Etymons: Latin resolvent-, resolvēns, resolvere.
Etymology: < classical Latin resolvent-, resolvēns, present participle of resolvere resolve v.Compare French résolvant (adjective) causing or promoting resolution of tumours (1314 in Old French as resolvant , subsequently from 1771), designating a derived equation or function which is introduced in order to aid the solution of some given equation (1800 or earlier), (masculine noun) resolvent medicine or treatment (1549 in Middle French as resolvant ; rare before the second half of the 18th cent.), and also résolvante (feminine noun) resolvent equation or function (1776 or earlier). With the β. forms compare -ant suffix1.
A. adj.
1. Chiefly Medicine. Causing or promoting the dispersal or softening of humours or morbid material, or the resolution of a disease or pathological process. Also: bringing about solution, dissolving. Now rare.
ΘΚΠ
the world > health and disease > healing > medicines or physic > medicines for specific purpose > medicine to draw, disperse, etc., matter or humours > [adjective] > resolving or dispersing
resolvinga1398
incisive1528
discussing1559
discussive1565
discutient1575
resolvent1655
tmetic1661
discussory1678
inciding1678
incident1855
the world > matter > liquid > making or becoming liquid > action or process of dissolving > [adjective]
resolutivea1400
resolvative1577
resolutative1582
solvent1686
resolvent1732
solutive1732
soluble1846
diluent1878
solving1883
1655 H. Vaughan tr. H. Nolle Hermetical Physick xi. 97 Thus the stone which proceeds from Tartar, or coagulated Salt, is cured by Salt, but it must be Analytical or resolvent salt [L. sale..resoluente].
1676 R. Wiseman Severall Chirurg. Treat. i. xix. 94 I..applied the milder resolvent Emplaster.
1676 W. Harris tr. N. de Blégny New & Curious Observ. Venereal Dis. 79 When the Inflammation and pain shall be taken away by all these Remedies..you may begin to use resolvent Cataplasms.
1732 J. Arbuthnot Pract. Rules of Diet i. 249 A milky Juice..resolvent of the Bile.
1776 C. Este Tracts Med. Subj. 15 Be the resolvent application what it may, it is most commodiously exhibited in the Form of Fomentation, Vapour, or Cataplasm.
1822 J. M. Good Study Med. II. 715 All the chylific organs secrete an unusual quantity of resolvent juices.
1866 W. Odling Lect. Animal Chem. 158 The so-called resolvent action of alkalies upon the animal economy.
1905 Lancet 25 Nov. 1551/2 The resolvent action of the rays on neoplasms..is discussed.
1945 Southtown Economist (Chicago) 7 Feb. 14 c/1 The miracle resolvent soap takes the dirt—protects the skin.
1995 Clin. Infectious Dis. 21 1052/1 (title) Morganella morganii pericarditis after resolvent splenectomy for immune pancytopenia.
2. Clarificatory, explanatory. Cf. resolve v. 17b. Obsolete. rare.
ΘΚΠ
the mind > mental capacity > intelligibility > meaning > explanation, exposition > [adjective]
explanativea1500
expositive1535
resolutory1567
interpretative1569
expounding1571
illustrating1589
explanatory1600
explicative1602
explicatory1606
expository1628
clarifying1630
illustrative1643
luciferous1648
omnilucent1651
explaining?1683
illustratorya1734
elucidatory1774
elucidative1822
irradiativea1834
expositional1845
resolvent1856
enucleating1862
expositionary1882
luminant1891
interpreting1892
clarificatory1945
FYI1973
1856 J. F. Ferrier Inst. Metaphysic (ed. 2) 25 The proposition adds nothing to our knowledge: it is merely explicative, or resolvent.
3. Mathematics. Designating a derived equation or function which is introduced in order to aid the solution of some given equation, esp. a polynomial.
ΘΚΠ
the world > relative properties > number > algebra > [adjective] > relating to expressions > relating to equations
algebraic1657
lateral1670
explicable1706
unreduced1762
homogeneous1815
resolvent1860
Pellian1862
equational1864
canonizant1879
variational1879
unilateral1884
non-dimensional1904
open1937
inhomogeneous1943
stiff1952
1860 R. Harley in Mem. Literary & Philos. Soc. Manch. 2nd Ser. 15 173 The product,..which may be called the symmetric or resolvent product, according as it is or is not symmetric, plays an important part in the finite algebraic solution of the equation of the n th degree.
1892 Bull. N.Y. Math. Soc. 1 202 The expression of the roots of a quartic is easily made in terms of the roots of a resolvent cubic.
1912 Nature 18 July 499/1 The so-called ‘kernel’ and the derived ‘resolvent kernel’ have received appropriate names.
1958 F. Smithies Integral Equations ii. 29 Theorem 2·5·2 could also be proved directly without appealing to the properties of the resolvent kernel.
2006 J. Derbyshire Unknown Quantity vii. 125 For an algebraic solution of the general quintic equation, we need to devise a resolvent equation that is cubic or quartic.
B. n.
1. Medicine. A resolvent medicine or treatment; = resolver n. 1. Now historical and rare.
ΘΚΠ
the world > health and disease > healing > medicines or physic > medicines for specific purpose > medicine to draw, disperse, etc., matter or humours > [noun] > medicine resolving or dispersing
resolutivea1400
resolver?a1450
digester1578
discussive1583
discutient1585
discusser1617
resolvent1676
incider1722
incisive1726
incident1753
discutant1817
1676 R. Wiseman Severall Chirurg. Treat. i. xix. 92 Young people..require to be treated with milder Resolvents then those who live a labouring life.
1758 J. Wood Suppl. to Treat. Farriery 16 As soon as Resolvents take effect.
1797 Encycl. Brit. XVII. 567/2 Soap is also externally employed as a resolvent.
1827 J. Forbes tr. R. T. H. Laennec Treat. Dis. Chest (ed. 2) i. ii. vi. 206 Bloodletting, derivatives, and resolvents or stimulants of the absorbent system,..retard the progress of the disease.
1876 W. H. Burt Therapeutics Tuberculosis 114 Where is there a more certain..slime-loosening resolvent.
1883–4 Med. Ann. 9/2 He believes the drug to be an aplastic or resolvent of great energy.
1931 Lancet 10 Oct. 788/2 The therapeutic measures for prostatic conditions are..(3) X rays..in large doses as a resolvent.
1965 Beckley (W. Virginia) Post-Herald 17 Nov. 4/5 ‘Dr. Radway's Sarsaparillian Resolvent’ is stated as making astonishing cures so quick and so rapid that ‘Every Day an Increase in Flesh and Weight is Seen and Felt.’
2. A dissolving agent; a solvent. Also figurative. Now rare.
ΘΚΠ
the world > matter > liquid > making or becoming liquid > action or process of dissolving > [noun] > solvent
menstruea1550
menstruum1559
dissolvent1646
dissolver1651
solvent1671
resolvent1678
solutive1712
diluter1718
diluent1775
1678 E. Phillips New World of Words (new ed.) at Resolution The violent separation of bodies commixt together, by the application of a Resolvent, i.e. some sharp and dissolving ingredient.
1708 J. Keill Acct. Animal Secretion Pref. p. xv Different Substances require different Resolvents.
1900 Q. Rev. July 55 The whole earth, the one disinfectant and resolvent of death and decay.
3. With of. A means of removing a difficulty, settling a problem, etc.
ΘΚΠ
the world > action or operation > easiness > [noun] > making easy > means of removing difficulties
resolvent1851
1851 R. A. Willmott Pleasures of Lit. ii. 6 The harsher resolvents of digamma and allegory.
1880 R. G. White Every-day Eng. 142 A coin which would serve as a common resolvent of all accounts.
1892 Critic (N.Y.) 1 Oct. 186/2 But those who know the man..scarcely look for such a resolvent of Samoan troubles.
1934 Times 29 Oct. 13/4 Any genuine philosophy of American life which might serve as a resolvent of difficulties and a director of purpose.
2000 J. R. McGovern Time for Hope vii. 123 Whites then felt impelled to exercise their ultimate weapon, lynching, as a resolvent of tensions.
4. Mathematics. A resolvent equation or function.
ΘΚΠ
the world > relative properties > number > algebra > [noun] > expression
algebraism1753
expression1796
fraction1812
discriminant1851
transform1853
resolvent1859
1859 London, Edinb. & Dublin Philos. Mag. 18 54 One of the roots of its resolvent..is a rational function of another.
1904 F. Cajori Introd. Mod. Theory Equations xii. 130 If we are given the values of the Lagrangian resolvents of an equation..of the nth degree and the nth roots of unity, the equation..is solved.
1991 C. B. Boyer & U. C. Merzbach Hist. Math. (ed. 2) xxii. 491 Finding that a resolvent of a quintic equation..was a sextic, Lagrange conjectured that polynomial equations above fourth degree are not solvable in the usual sense.
2004 J. W. Jones & D. P. Roberts in D. Buell Algorithmic Number Theory 294 Resolvents play a major role in the computation of Galois groups over Q.
This entry has been updated (OED Third Edition, March 2010; most recently modified version published online March 2022).
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adj.n.1655
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