| 释义 |
solvable, a.|ˈsɒlvəb(ə)l|
Also 7 solvible, solveable.
[f. solve v. + -able, or a. F. solvable.]
†1. Able to pay; solvent. Obs.
1647Fuller Good Th. in Worse T. Pref., Many sufficient merchants, though not solvable for the present, make use of the latter [method]. 1655― Ch. Hist. ix. 131 Although imprisonment was imposed by law on persons not solvable. 1672Wycherley Love in a Wood iii. iv, Widows are commonly so wise as to be sure their men are solvable before they trust 'em. 1773Ann. Reg. 69 He immediately called an assembly of the deputies of the bank, from whom he obtained their consent to assist all the solvable houses.
†2. Payable. Obs. rare.
1655Fuller Ch. Hist. vi. 326 Some of those Corrodies..were solvable out of the Exchequer.
3. a. Capable of being solved.
a1676Hale Orig. Man. i. ii. (1677) 56, I do not inquire how or where, because it is not solvible. 1681S. Colvil Whigs Supplic. (1751) 48 Solve several questions he can, Scarce solvable by any man. 1710Brit. Apollo No. 7. 2/2 You can answer all Questions solvable or not. 1785Franklin Lett. Wks. 1840 VI. 526, I have rarely met with a case of a smoky chimney, which has not been solvable on these principles. 1879Proctor Pleas. Ways Sci. iii. 56 The problem of determining the sun's distance..had seemed fairly solvable in but one or two ways. 1896Cayley Coll. Math. Papers XI. 402 A solvable case of the quintic equation.
b. Math. Of a group: that may be regarded as the last of a finite series of groups of which the first is trivial, each being a normal subgroup of the next and each of the quotients being Abelian.
1892E. Netto Theory of Substitutions xiv. 267 We may carry over the expressions ‘transitive’, ‘primitive’ and ‘non-primitive’, ‘simple’ and ‘compound’ from the group to the equation... Conversely, we apply the term ‘solvable’, which is taken from the theory of equations, also to groups, and speak of solvable groups as those whose equations are solvable. 1898Amer. Jrnl. Math. XX. 277 The necessary and sufficient condition that a group is solvable is that its αth derivative (derived group) is unity. 1929Ibid. LI. 494 The total number of groups of order 72 is 50. Each of these groups is obviously solvable. 1971D. Gorenstein in Powell & Higman Finite Simple Groups ii. 66 The celebrated Feit-Thompson theorem that groups of odd order are solvable implies that every nonabelian simple group has even order. 1982Sci. Amer. Apr. 120/3 An equation is solvable by radicals if and only if the Galois group of the equation is a solvable group.
4. Capable of being dissolved. Also absol.
1669W. Simpson Hydrol. Chym. 13 The solvent and solvable are both one. 1794G. Adams Nat. & Exper. Phil. I. xi. 460 From being insoluble in water, it is now not only solvable therein, but so greedy of moisture as [etc.].
5. Capable of being resolved into something.
1804–6Syd. Smith Mor. Philos. (1850) 368 The love of knowledge is solvable into some other passion at its origin.
Hence ˈsolvableness.
1727Bailey (vol. II), Solvableness, ability to pay. |