| 单词 | zero-dimensional |
| 释义 | > as lemmaszero-dimensional zero-dimensional adj. Mathematics (a) (describing a point) having no extent in any direction; (b) having a dimension (dimension n. Additions) of zero. ΚΠ 1880 Amer. Jrnl. Math. 3 5 On arriving at zero-dimensional space, the function reduces to the simple identity Φ = 1 −1 = 0. 1945 Ann. Math. 46 404 One and the same field..can be used to reduce any of them to a zero-dimensional ideal. 1955 Sci. Monthly Nov. 236/1 There is also no contradiction in regarding the one-dimensional line as consisting of zero-dimensional points. 2005 V. Runde Taste of Topology iii. 99 Every zero-dimensional space is a totally disconnected Hausdorff space. 2016 E. Smith & H. J. Morowitz Origin & Nature of Life on Earth v. 334 (footnote) The point is zero-dimensional, whereas each line is one-dimensional and the plane is two-dimensional. < as lemmas |
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