单词 | point of closure |
释义 | > as lemmaspoint of closure Mathematics. The property of being closed (closed adj. 2); also (const. of), the smallest closed set containing a given set. point of closure: a point which is such that any neighbourhood of it meets a given set (const. of). ΘΚΠ the world > relative properties > number > geometry > [noun] > geometrical property duality1532 magnitude1570 solidity1570 order1706 symmetry1823 unicursality1887 self-coincidence1902 closure1905 non-orientability1938 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set set1857 interval1902 intersection1909 union1912 lattice1933 matroid1935 closure1937 Steiner triple or triplet system1939 recursive set1943 convex hull1951 power set1953 convex envelope1964 Steiner system1966 Julia set1976 Mandelbrot set1984 the world > relative properties > number > geometry > point > [noun] pointa1398 prick1532 sign1570 punctuma1592 punct1638 mathematical point1659 origin1723 fixed point1778 lattice point1857 pole1879 point of closure1956 1905 Trans. Amer. Math. Soc. 6 165 (heading) Dedekind postulate of closure. 1910 E. H. Moore in New Haven Math. Colloq. (Amer. Math. Soc.) 37 A class having the property C of being closed to itself has the property C, and conversely. The notation C and the designation closure are preferable to the S-C and self-closure originally used. 1937 G. Birkhoff in Ann. Math. 38 39 The ‘closure’ of any subset S of ordinary space is composed of the limits of the convergent sequences of points of S. 1956 E. M. Patterson Topology ii. 29 The set of points of closure of X is called the closure of X. 1974 G. Reece tr. F. Hund Hist. Quantum Theory viii. 109 The periodic system is thus explained by the application of a closure law. 1977 Nature 8 Dec. 500/1 A black hole is the closure of the topologically smallest future set I+ such that [etc.]. 1986 P. C. West Introd. Supersymmetry & Supergravity vi. 25 Closure confirms the choice of one auxiliary field, D which is a pseudoscalar and requires a = +1. < as lemmas |
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