Remarks on the Preceding two Notes

Remarks on the Preceding Case

Remarks on the Preceding Paper Of

It is obvious that lp (/> 2:1) or any Hubert space satisfies (A). In §3 it is shown that Lp (p>l) does likewise. The method of proof is entirely different from that of Clarkson. In §4 it is shown that if X is any Banach space having the property that every function on a linear interval to X, which satisfies a Lipschitz condition, is differentiable almost everywhere, then also every function of ...

Two notes on the Hippiatrica.

P ELAGONIUS' BOOK on horse medicine,l a main source of Vegetius' Mulomedicina, was composed around the middle of the fourth century. It was later incorporated in the Greek collection of hippiatric texts known as the Hippiatrica. 2 When a Latin manuscript of Pelagonius (originally copied in 1485 on behalf of Politian and bearing his subscriptio 3) was discovered and edited in the early nineteent...

Two remarks on the Burr-Erdos conjecture

The Ramsey number r(H) of a graph H is the minimum positive integer N such that every twocoloring of the edges of the complete graph KN on N vertices contains a monochromatic copy of H . A graph H is d-degenerate if every subgraph of H has minimum degree at most d. Burr and Erdős in 1975 conjectured that for each positive integer d there is a constant cd such that r(H) ≤ cdn for every d-degener...

Two remarks on the inner core

For the case of smooth concave exchange economies, we provide a characterization of the inner core as the set of feasible allocations such that no coalition can improve on it, even if coalitions are allowed to use some random plans. For the case of compactly generated games, we discuss Myerson’s definition of the inner core, and we characterize it using lexicographic utility weight systems.  2...