Presentation Age-related penetrance is seen in HHT. [2] It does not present at birth but commonly presents with recurrent epistaxis, usually in the teenage years. People with the condition develop mucocutaneous lesions, usually involving the nasal mucosa, lips and tongue. These lesions are sharply demarcated red-purple macules, papules or spider-like lesions comprising a mat of tortuous vessels...

We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the roots of a special type of class field polynomials with the most commonly used being the Hilbert and Weber ones, uniquely determined by the CM discriminant D. In attempting to construct prime order ECs using Weber pol...

The method of domain perturbations is used to study the problem of a nearly spherical bubble in an inviscid, axisymmetric straining flow. Steady-state shapes and axisymmetric oscillatory motions are considered. The steady-state solutions suggest the existence of a limit point a t a critical Weber number, beyond which no solution exists on the steady-state solution branch which includes the sphe...

Sturge-Weber syndrome (SWS) is a neurocutaneous syndrome, characterized by the association of facial port-wine hemangiomas in the trigeminal nerve distribution area, with vascular malformation(s) of the brain (leptomeningeal angioma) with or without glaucoma. Herein, we reported Sturge-Weber syndrome in a 50-year-old man, who presented port-wine hemangiomas and epilepsy. In this case, the patie...

The association of vascular nxvi of the face, predominantly unilateral in distribution, with homolateral changes in the cerebral cortex, has long been of interest to clinicians. The first case4 of this disorder was presented by W. Allen Sturge to the Clinical Society of London in 1879. Weber5 called attention to the characteristic roentgenological features of this disease in 1922, and in 1934. ...

Several models have been proposed in the field of psychophysics to quantify relationships between any stimulus (e.g., touch, sound, light, and smell) and the perceived response by individuals. One such model is referred to as the Weber-Fechner Law. The Weber −Fechner Law, however, is not one law, but two separate laws: Weber's Law and Fechner's Law. Moreover, not all human senses respond to sti...

Anterior and posterior uveitis has been described as an associated feature of the Weber Christian syndrome (Klien, I959), but only one report of a case has thus far appeared in the literature. The presence of uveitis in sections of an eye removed from a patient suffering from Weber Christian disease was described by Theobald (I953). Frayer, Wise, and Tsaltas (i968) described three cases of Webe...

Sturge-Weber syndrome can be associated with facial port-wine stains and intracranial calcification, and concurrent Klippel-Trenaunay-Weber syndrome has been reported. Klippel-Trenaunay-Weber syndrome is a rare congenital mesodermal phakomatosis characterized by cutaneous hemangiomas, venous varicosities and soft tissue or bone hypertrophy of the affected extremities. This report is presented a...

We consider a variant of the Complex Multiplication (CM) method for constructing elliptic curves (ECs) of prime order with additional security properties. Our variant uses Weber polynomials whose discriminant D is congruent to 3 (mod 8), and is based on a new transformation for converting roots of Weber polynomials to their Hilbert counterparts. We also present a new theoretical estimate of the...

The Fermat-Weber problem consists in finding a point in R that minimizes the weighted sum of distances from m points in R that are not collinear. An application that motivated this problem is the optimal location of industries in the 2-dimensional case. The Weber problem is a generalization of the well-known Fermat problem. An usual method to solve the Weber problem, proposed by Weiszfeld in 19...