Seven points chosen at random on a twisted cubic curve, like six points on a conic in the plane, give rise to a distinctive theorem; for as five points determine a conic, so the twisted cubic is determined by six points. In the case of the conic, this is the theorem of the Pascal hexagon, six points in a definite order leading to a definite line. Conic and line remaining fixed, the hexagon may ...

A notation for probabilities is proposed that differs from the traditional, conventional notation by making explicit the domains and bound variables involved. The notation borrows from the Z notation, and lends itself well to calculational manipulations, with a smooth transition back and forth to set and predicate notation.

The structure and operation of human organizations, such as corporations, offer useful insights to designers of selfsystems (a.k.a. self-managing or autonomic). Examples include worker/supervisor hierarchies, avoidance of micro-management, and complaint-based tuning. This paper explores the analogy, and describes the design of a selfstorage system that borrows from it.

Expressive AI is a new interdiscipline of AI-based cultural production combining art practice and AI research practice. This paper explores the notion of expressive AI by comparing it with other AI discourses, describing how it borrows notions of interpretation and authorship from both art and AI research practice, and by providing preliminary desiderata for the practice.

wiskott-aldrich syndrome (was) is a life-threatening x-linked recessive immunodeficiency disease described as a clinical triad of thrombocytopenia,  eczema, and recurrent infections, caused by mutations of the was protein (wasp) gene. the milder form of this disease is x-linked thrombocytopenia  (xlt) that  presents only as platelet abnormalities. mutation analysis for 15 boys with wiskott-aldr...

pulmonary arteriovenous malformations are rare clinical entities thai are associated with right to left shunts, and are often clinically presented by the triad of dyspnea, cyanosis, and digital clubbing. currently, transcatheter embolization of fistula is gaining increasing popularity as the superior therapeutic option. in certain situations, however, surgery is preferred. two cases of direct p...

Kimura’s disease (KD) is a chronic inflammatory disorder primarily seen in male Asians during the second and third decades of life. Clinically, it presents as solitary or multiple subcutaneous nodules, predominantly in the head and neck region, typically in the pre auricular region, forehead, and scalp. The etiology of Kimura disease is still unknown. This disorder should be suspected when the ...

We introduce a linear algebraic object called bidiagonal triad. A triad consists of three diagonalizable transformations on finite-dimensional vector space which satisfy the following condition. The eigenspaces can be ordered so that each transformation raises other two in block-bidiagonal fashion. show eigenvalue sequences associated to same recurrence relation. Based solutions this we define ...

Background: The combination of coronoid process fracture, radial head and elbow dislocation has earned the moniker “terrible triad” by virtue its challenging treatment historically poor outcomes. Bilateral fracture with unilateral terrible triad injury is an unprecedented presentation. It raises questions regarding mechanism injury, surgical indication rehabilitation program.