Problem 69: Posed by A.P. Wojda

Problem 103: Posed by Robert A. Melter

📂 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;

On a problem posed by V. M. Glushkov

✍ M. I. Kratko; G. S. Plesnevich 📂 Article 📅 1972 🏛 Springer US 🌐 English ⚖ 91 KB

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

📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 33 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 26 : Posed by D.R. Stinson

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