๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Problem 70: Posed by K.B. Reid


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
41 KB
Volume
57
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Problem 48: Posed by G.L. Sicherman
โœ Col. G.L. Sicherman ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 32 KB
Problem 102: Posed by John Reay
๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 74 KB

Theorem (See [3] for a proof and definitions). Let S c lPd be Q set of at least (d + l)(r -1) + (k + I) strongly independent points, where 0 6 k G d. Then S has a partition S=SU-US' so that the k-dimensional volume V(k) = ~01&&l conv Si] satisfies V(k) > 0. If (r, k) = (2,0) this is Radon's theorem;

Problem 26 : Posed by D.R. Stinson
โœ D.R. Stinson ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 41 KB
Problem 94 : Posed by C.J. Colbourn
โœ C.J. Colbourn ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 50 KB

Given integers I-Z and 1p1, how many distinct solutions {a, b, c} are there to the system of equations a+b+c=m a\*+b\*+c\*=n with aabacaO? With the condition on the non-nq$iv, ,jr of aLs b and c removed, the problem was solved in [I]. A solution to the more constrained problem would have application