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单词 root factor
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root factor
e. In sense 15, as root factor, root-finding, root limitation, root point.
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1853 Philos. Trans. (Royal Soc.) 143 502 Every method of root-limitation is implicitly a method of root-approximation.
1857 in Trans. Cambr. Philos. Soc. (1864) 10 i. 263 We then, in the common way, establish the existence of the root-factor.
1857 in Trans. Cambr. Philos. Soc. (1864) 10 i. 266 The curves P = 0, Q = 0, the intersection of which determines the root-points.
1874 in Trans. Cambr. Philos. Soc. (1879) 12 ii. 395 On the geometrical representation of Cauchy's theorems of Root-limitation.
1931 Math. Gaz. 15 491 Where the roots are real,..no advantage is claimed for root-cubing over root-squaring, the latter method being simple, rapid and uniform.
1989 Teaching Mathematics 8 i. 45/1 A potential pitfall with the Newton–Raphson root-finding method.
2002 G. Toth Glimpses Algebra & Geom. iii. 37 By the factor theorem, the root factor (xr) divides P.
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