We construct, for every even n, a set of n points in the plane that generates Ω ne √ ln 4· √ ln n/ √ ln n halving edges. This improves Tóth’s previous bound by a constant factor in the exponent. Our construction is significantly simpler than Tóth’s.

1. INTRODUCTION. We say that a set S of 2n + 1 points in the plane is in general position if no three of the points are collinear and no four are concyclic. We call a circle halving with respect to S if it has three points of S on its circumference, n − 1 points in its interior, and n − 1 in its exterior. The goal of this paper is to prove the following surprising fact: any set of 2n + 1 points...

Iodine deficiency disorders (IDD) have been a major health problem in Iran. In order to train primary health workers (Behvarz) the diagnosis of visible goiter, two methods were compared. I: With head and neck in normal position; II: With extended neck. Behvarzes in 29 rural health centers in Ghazvin were trained method I an d30 were trained method II. 1541 school children in Ghazvin and 1532 in...

Three-hundred sixty calf-fed steers (BW = 318 ± 15 kg) were used in a completely randomized design to evaluate corn processing methods in finishing diets containing wet distillers grains plus solubles (WDGS). Whole corn (WC) was compared with corn processed by different methods, consisting of dryrolled corn (DRC), high-moisture corn (HMC), a 1:1 DRC:HMC combination (DM basis), steam-flaked corn...

1 At the Millennium Assembly in September 2000, the world’s leaders signed a global compact to reduce extreme poverty in the Millennium Declaration. The Millennium Development Goals (MDGs), which are drawn from the Millennium Declaration, call for a decisive reduction of extreme poverty in its key dimensions – income, hunger, disease, environmental degradation, and lack of access to basic servi...

In 1987, Hartman showed that the necessary condition v ≡ 4 or 8 (mod 12) for the existence of a resolvable SQS(v) is also sufficient for all values of v, with 23 possible exceptions. These last 23 undecided orders were removed by Ji and Zhu in 2005 by introducing the concept of resolvable H-designs. In this paper, we first develop a simple but powerful construction for resolvable H-designs, i.e...

Two trials evaluated the effect of a composite of feed ingredients formulated to be similar in nutrient composition to wet distillers byproducts on finishing performance of sheep and cattle. Trial 1 used 60 crossbred lambs (31 kg) assigned to one of four treatments: dry-rolled corn (DRC) control, dried distillers grains plus solubles, wet corn gluten feed (WCGF), and wet distillers grains compo...