单词 | splitting-tool |
释义 | > as lemmassplitting-tool attributive, chiefly in the sense of ‘used or adapted for splitting’, as splitting-knife, splitting-machine, splitting-mill, splitting-tool; splitting-block n. (see quot. 1711). splitting-board n. (see quot. 18752). splitting field n. Mathematics the least field which includes all roots of a specified polynomial. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > field field1893 subfield1910 splitting field1942 1711 W. Sutherland Ship-builders Assistant 25 Blocks of hard knotty Stuff..upon which you lay other Blocks, called Splitting-blocks, of the freest Timber that can be got, for the Conveniency of cleaving out again, when you are ready to launch. 1802 A. Young Autobiogr. (1898) 383 I have fixed straw work here,..and my splitting machines are all distributed. 1841 H. Scrivenor Hist. Iron Trade vi. 120 All below that size were cut in the splitting-mill. 1846 C. Holtzapffel Turning & Mech. Manip. II. 459 Paring or splitting tools, with thin edges. 1875 E. H. Knight Amer. Mech. Dict. III. 2162/2 The blocks are fed to the splitting-knives by fluted rollers. 1875 E. H. Knight Amer. Mech. Dict. III. 2281/2 Splitting-board (Mining),..a dividing board used in mine ventilation to divide the incoming air. 1886 A. Weir Hist. Basis Mod. Europe (1889) 377 The rollers..saved the smaller gauges from being consigned to the splitting mill. 1942 E. Artin Galois Theory ii. 22 A splitting field is of finite degree since it is constructed by a finite number of adjunctions of algebraic elements, each defining a field of finite degree. 1971 E. C. Dade in M. P. Powell & G. Higman Finite Simple Groups viii. 256 If F is algebraically closed, then it is a splitting field for any simple F-algebra. < as lemmas |
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