Problem 156.: Posed by D.R. Woodall.

Problem 155.: Posed by I. Fournier and D

Problem 155.: Posed by I. Fournier and D.R. Woodall.

📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 42 KB

Readers wishing to make comments dealing with technical matters about a problem that has appeared should write to the correspondent for that particular problem. Comments of a general nature about previous problems should be sent to Professor Alspach.

Problem 26 : Posed by D.R. Stinson

✍ D.R. Stinson 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 41 KB

Problem 48: Posed by G.L. Sicherman

✍ Col. G.L. Sicherman 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 32 KB

Problem 102: Posed by John Reay

📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 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 94 : Posed by C.J. Colbourn

✍ C.J. Colbourn 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 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

Problem 69: Posed by A.P. Wojda

📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 53 KB