A one-dimensional spatial model of electoral competition with regional parties is considered, where parties only want to win constituencies. With no regional parties and only two national parties, the median voter theorem holds. But when we consider one national party and one regional party for each of the two regions, then the median voter theorem breaks down. Equilibrium is characterized unde...

Morley's trisector theorem states that " The points of intersection of the adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle " [10]. The notation and terminology used in this paper have been introduced in the

A study of 7735 middle-aged British men drawn from general practices in twenty-four towns shows that there has been a progressive increase in mean height in the men who were born between 1919 and 1939. This is true for both manual and non-manual classes, but the mean heights of the two groups are significantly different and remain widely separated over this period of time. Manual workers lag tw...

We extend the concept of amenability of a Banach algebra A to the case that there is an extra A -module structure on A, and show that when S is an inverse semigroup with subsemigroup E of idempotents, then A = l(S) as a Banach module over A= l(E) is module amenable iff S is amenable. When S is a discrete group, l(E) = C and this is just the celebrated Johnson’s theorem.

We prove that the almost-entropic region of order four is not semialgebraic, we get as a corollary Matus’ Theorem, which asserts that the almost-entropic regions of order larger than four are not polyhedral. We discuss the algorithmic consequences of our result.

The authors analyzed self-reported SAT scores and actual SAT scores for five different samples of college students (N=650). Students overestimated their actual SAT scores by an average of 25 points (SD=81, d=0.31), with 10% under-reporting, 51% reporting accurately, and 39% over-reporting, indicating a systematic bias towards overreporting. The amount of over-reporting was greater for lower-sco...

The aims of this study were to compare the promoter sequence of the mannose-binding lectin (cMBL) gene in Iranian native and commercial chicken strains; as well as to compare the cMBL gene expression in crossbred and inbred chickens. In total 79 native (Western Azerbaijan native fowls, WANF) and 49 commercial (Arian Commercial Strain, ACS) birds were reared as parents under same management prac...