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单词 point of closure
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point 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).
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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.
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