For each prime power q = 1 (mod 12), there is a triple system of order q whose automorphism group is transitive on unordered pairs. The object of this paper is to study these systems. This is done by analyzing how pairs of elements are linked. The linkage of a and b consists of a triple (a, b, c) and of some cycles in which adjacent pairs of elements form triples alternately with a and with b. ...

In what follows, an ordered pair will always be an ordered pair (x, y), where x # y. A transitive triple is a collection of three ordered pairs of the form (6, Y), (Y, z), (x, z)}, which we will always denote by (x, y, z). A transitive triple system (TTS(u)) is a pair (X, B), where X is a set containing v elements and B is a collection of transitive triples of elements of X such that every orde...

We need to put in an abstract, but we can do this last. 1 Markov Polynomials We define Markov polynomials to be triples of polynomials (f(x,y,z), g(x,y,z), h(x,y,z)) that satisfy the relation f 2 + g + h = x + y + z xyz fgh Equivalently, we may rewrite this as f 2 + g + h fgh = K(x, y, z), K(x, y, z) := x + y + z xyz Clearly the triple (x,y,z) satisfies this relation. To generate another Markov...

The formation of the mitotic spindle is a complex process that requires massive cellular reorganization. Regulation by mitotic kinases controls this entire process. One of these mitotic controllers is Aurora A kinase, which is itself highly regulated. In this study, we show that the nuclear pore protein ALADIN is a novel spatial regulator of Aurora A. Without ALADIN, Aurora A spreads from centr...

OBJECTIVE ACTH resistance is a feature of several human syndromes with known genetic causes, including familial glucocorticoid deficiency (types 1 and 2) and triple A syndrome. However, many patients with ACTH resistance lack an identifiable genetic aetiology. The human homolog of the Acd gene, mutated in a mouse model of adrenal insufficiency, was sequenced in 25 patients with a clinical diagn...

AIM The objective of this study was to compare the zone of simple, double and triple images in a dry infant cranium against an adult completely formed one when panoramic X-ray photography's were taken. STUDY DESIGN We took 96 panoramic X-ray photography's to a dry infant cranium placing a metallic spherical object of 8mm in different anatomical points for later to observe, identify and analys...

Is it possible to color the naturals with finitely many colors so that no Pythagorean triple is monochromatic? This question is even open for two colors. A natural strategy is to show that some small nonbipartite triple systems cannot be realized as a family of Pythagorean triples. It suffices to consider partial triple systems (PTS’s), and it is therefore natural to consider the Fano plane, th...

The zero modes and zero resonances of the Dirac operator H = α ·D+Q(x) are discussed, where α = (α1, α2, α3) is the triple of 4× 4 Dirac matrices, D = (1/i)∇x, and Q(x) = `

INTRODUCTION Spontaneous osteonecrosis of the navicular bone in adults is a rare entity, known as Müller-Weiss syndrome. We report here on our experience with six patients with Müller-Weiss syndrome accompanied by flatfoot deformity, but on a literature search found no reports on this phenomenon. Because the natural history and treatment are controversial, an understanding of how to manage this...