释义 |
Mergelyan-Wesler TheoremLet be an infinite set of disjoint open Disks of radius such that the union isalmost the unit Disk. Then
 | (1) |
Define
 | (2) |
Then there is a number such that diverges for and converges for . The abovetheorem gives
 | (3) |
There exists a constant which improves the inequality, and the best value known is
 | (4) |
References
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, pp. 36-37, 1983.Mandelbrot, B. B. Fractals. San Francisco, CA: W. H. Freeman, p. 187, 1977. Melzack, Z. A. ``On the Solid Packing Constant for Circles.'' Math. Comput. 23, 1969.
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