单词 | monomorphism |
释义 | monomorphismn. 1. Biology. The condition of being monomorphic; an instance of this. ΘΚΠ the world > life > biology > biological processes > genetic activity > [noun] > identity of genotype or chromosomes monomorphism1863 the world > life > biology > biological processes > genetic activity > heredity or hereditary descent > [noun] > occurrence in only one form monomorphism1863 1863 Walsh in Proc. Entomol. Soc. Philadelphia 2 223 Monomorphism is the rule; Dimorphism is the exception. 1885 Bot. Gaz. 10 314 The author takes up Cohn's theory of the constancy of bacteria forms, and his classification into coccus, rod, thread and spiral groups (monomorphism). 1930 New Phytologist 29 81 The retention of numerous carpels is not invariably associated with monomorphism. 1957 Cold Spring Harbor Symp. Quantitative Biol. 22 399/1 In nature..it is unlikely that..a reversion to monomorphism will often occur. 1960 Proc. National Acad. Sci. U.S.A. 46 45 The replacement of the balanced polymorphisms present in the parental races by chromosomal monomorphisms certainly proves that acquisition in evolution of a balanced polymorphic condition need not be irreversible. 1973 Nature 31 Aug. 575/1 Most loci tend to monomorphism in reproductively as well as geographically isolated populations. 1992 J. Silverberg & J. P. Gray Aggression & Peacefulness 102 Although sexual monomorphism in Hylobates has been associated with their monogamous social system, it is striking that spider monkeys and muriquis, which are both polygamous, also exhibit relatively low levels of dimorphism. 2. Mathematics. A one-to-one homomorphism. ΘΚΠ the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > correspondence > preserving relations or elements inclusion1870 orthomorphosis1885 isomorphism1892 identity1910 homoeomorphism1918 homomorphism1935 topological mapping or transformation1939 isometry1941 Möbius transformation1941 injection map(ping)1950 monomorphism1954 bijection1963 surjection1964 1954 S. Eilenberg & S. MacLane in Ann. Math. 60 83 A monomorphism f: A → B is a homomorphism with kernel zero. 1956 C. Chevalley Fund. Concepts Algebra i. 11 A homomorphism which is injective is called a monomorphism; a homomorphism which is surjective is called an epimorphism. 1969 F. M. Hall Introd. Abstr. Algebra II. ii. 39 In a monomorphism different objects always have different images. 1982 W. S. Hatcher Logical Found. Math. viii. 246 The morphism f is a monomorphism if it can be right cancelled under composition. 1990 Q. Jrnl. Math. 41 156 We call a graph of groups proper if the edge homomorphisms are monomorphisms. This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022). < n.1863 |
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