Note on Vergil, Georgic II. 501–502

Ii NOTE ON

This research was supported partly by the Office of, Naval Research under Contract No. Nonr-855(OP) for research in probability and statistics at Chapel Hill and partly by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command under Contract No. AF 49(638)-213. Reproduction in whole or in part for any purpose of the United Sta...

Note on Irregularities of Distribution Ii

THEOREM IB (Roth [11]). For every natural number N^2, there exists a distribution 0* of N points in U such that I. L-l \DL[&;B(y)]\dy«L(\ogN) u Note that Theorems 1A and IB remain true in the trivial case L = 1. Suppose now that ^ is a distribution of N points in the unit torus U = [0, 1)*, where K 5= 2. Let A be a compact and convex body in U. For any real number A € (0, 1], any proper orthogo...

Note on a Question of Reinhold Baer on Pregroups Ii

Reinhold Baer asked the relationship between certain properties in a nonempty set P with a partial operation (called an “add" by Baer [1]). The first paper in our sequence [Paper I] answered his question for a special type of an add called a pregroup by Stallings [12]. This paper [Paper II] answers an analogous question for a wider class of adds.

Acontius, Milanion, and Gallus: Vergil, Ecl. 10.52-61

In the rambling sequence of thoughts in Ecl. 10.31-69 that expresses the troubled state of the lovesick Gallus, Vergil depicts his friend as proposing to abandon elegy for bucolic poetry, and to take up a pair of activities presumably related to this change. These activities--carving love-messages on trees and hunting--are to some extent typical of the unrequited literary, especially pastoral, ...

A note on decompositions of transitive tournaments II