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单词 monothetic
释义

monotheticadj.

Brit. /ˌmɒnə(ʊ)ˈθɛtɪk/, U.S. /ˌmɑnəˈθɛdɪk/
Origin: Formed within English, by compounding. Etymons: mono- comb. form, -thetic comb. form.
Etymology: < mono- comb. form + -thetic comb. form. In sense 2 after German monothetisch (D. van Dantzig 1933, in Math. Ann. 107 591).
1.
a. That assumes or is based on a single essential element or idea.
ΚΠ
1890 Cent. Dict. Monothetic, positing or supposing a single essential element.
1928 Mind 37 248 His negative conclusions are that the ‘monothetic one-rayed act’ of feeling and the theory of empathy are both ‘æsthetically indifferent’.
1939 Amer. Polit. Sci. Rev. 33 1120 Judicial ratiocination and economic theorizing must both desist from monothetic interpretations.
1940 Jrnl. Philos. 37 674 The phenomenological doctrines..of the polythetic and monothetic synthesis are already anticipated in [William] James's admirable book.
1946 Amer. Jrnl. Sociol. 51 351 Imbedded in Reich's dynamic and holistic thinking is a monothetic absolutism.
1991 Anthropol. Today 7 13/1 It is within the monolithic-cum-monothetic frame of the monograph that fieldnotes' dual conventionality becomes problematic.
b. spec. Of a system or method of classification, or its categories: based on a single characteristic, or a series of single characteristics.
ΘΚΠ
the world > relative properties > kind or sort > [adjective] > sharing one characteristic
monothetic1962
1962 P. H. A. Sneath in G. C. Ainsworth & P. H. A. Sneath Microbial Classif. 291 Special classifications are usually based on single characters, or on a series of single characters... Beckner..calls such groups monotypic, because the defining set of features is unique, but since monotypic has other meanings, monothetic is a better term.
1978 B. Chapman Clarke's Analyt. Archaeol. (ed. 2) vi. 263 This theory implies that cultural assemblages are rigid monothetic groups of artefacts with identically shared distribution.
1979 Brain Res. 180 3 The process of set formation is briefly reviewed and five monothetic schemes for classification of neurons in the somatic cerebral cortex are described.
1982 Current Anthropol. 23 186/2 Even if we accept the monothetic typological concept.., we have to recognize that differences in tool percentages..are not the sole dimension for measuring variation.
1986 Comprehensive Psychiatry 27 21 We were unable to demonstrate a significantly greater enhancement of reliability among criteria structures using a polythetic classification over those using monothetic classification.
1996 Systematic Entomol. 21 1 Many species could be identified with some confidence by a sequential monothetic key based on meristic and qualitative characters.
2. Mathematics. Of a group: containing a cyclic subgroup whose closure is the group itself.
ΚΠ
1937 Ann. Math. 38 476 Its group is isomorphic to a Cantor group or a monothetic group.
1950 Ann. Math. 52 577 G is monothetic, i.e., there exists an element aG such that {na | n = 0, ±1, ±2, … } is everywhere dense in G.
1972 Trans. Amer. Math. Soc. 164 60 The X of this example, considered as the inverse limit of a sequence of topological groups, is a monothetic, compact abelian group.
1992 Proc. Amer. Math. Soc. 114 21 We say a group is monothetic if it possesses an element, called a generator, whose orbit is dense.
This entry has been updated (OED Third Edition, December 2002; most recently modified version published online March 2022).
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adj.1890
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