单词 | branch-point |
释义 | > as lemmasbranch-point branch-point n. Mathematics a point in the complex plane at which two or more branches of a function (usually an algebraic function) of a complex variable coincide. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > on a surface or plane conical point1812 umbilicus1841 stigma1863 binode1869 branch-point1878 saddle point1907 saddle1952 1878 Cayley in Proc. London Math. Soc. 9 32 There are certain points V called branch-points (Verzweigungspuncte), such that to each point V there correspond two united points..and n-2 other distinct points. 1879 Encycl. Brit. IX. 823/2 Branch-point (verzweigungspunkt). 1893 A. R. Forsyth Theory Functions Complex Variable vi. § 71. 111 All the singularities (and the branch-points, if any) lie on the discriminating circle. 1966 E. G. Phillips Topics Complex Anal. ii. 20 On traversing loop A in the positive sense, the straight pieces have no effect on f (z) since they do not contain a branch point. < as lemmas |
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