We describe an algorithm to compute the cardinality of Jacobians of ordinary hyperelliptic curves of small genus over finite fields F2n with cost O(n ). This algorithm is derived from ideas due to Mestre. More precisely, we state the mathematical background behind Mestre’s algorithm and develop from it a variant with quasiquadratic time complexity. Among others, we present an algorithm to find ...

Real-time monitoring of PCR is one of the most important methods for DNA and RNA detection widely used in research and medical diagnostics. Here we describe a new approach for combined real-time PCR monitoring and melting curve analysis using a 3' end-blocked Exciton-Controlled Hybridization-sensitive fluorescent Oligonucleotide (ECHO) called Eprobe. Eprobes contain two dye moieties attached to...

BACKGROUND Despite numerous studies on endotracheal tube cuff pressure (CP) management, the literature has yet to establish a technique capable of adequately filling the cuff with an appropriate volume of air while generating low CP in a less subjective way. The purpose of this prospective study was to evaluate and compare the CP levels and air volume required to fill the endotracheal tubes cuf...

An instance of the curve reconstruction problem is a finite sample set V of an unknown collection of curves γ. The task is to connect the points in V in the order in which they lie on γ. Giesen [Proceedings of the 15th Annual ACM Symposium on Computational Geometry (SCG ’99), 1999, pp. 207–216] showed recently that the traveling salesman tour of V solves the reconstruction problem for single cl...

Server-based resource reservation protocols (e.g., periodic and bandwidth-sharing servers) have the advantage of providing temporal isolation between subsystems co-executing upon a shared processing platform. However, for many of these protocols, temporal isolation is often obtained at the price of overprovisioned reservations. Other more fine-grained approaches such as real-time calculus (RTC)...

Von Koch curves allow numerous variations and have inspired many researchers and fractal artists to produce amazing pieces of art. In this paper we present a new algorithm for plotting the Koch curve using complex variables. Further we have applied various coloring algorithms to generate complex Koch fractals.

1Regional Director, World Health Organization Regional Office for Eastern Mediterranean, Cairo, Egypt. 2Director, Department of Communicable Disease Prevention and Control, World Health Organization Regional Office for Eastern Mediterranean, Cairo, Egypt. 3Deputy Minister of Health for Public Health, Ministry of Health, Riyadh; Professor, College of Medicine, Al Faisal University, Riyadh, Kingd...

Consider times series data like that displayed on the right Why shouldn't it be modeled as a regression of the dependent variable on the time variable? The regression (i.e. curve-fitting) model would analyze the data into two parts. The first is called the explained part, which is the part of the dependent variable that is captured as a function of the independent variable, which would be time ...

Tensile stress-strain curve is of high importance in mechanics of materials particularly in numerical simulations of material deformations. The curve is usually obtained by experiment but is limited by necking phenomenon. Engineering stress-strain curve is converted to true stress-strain curve through simple formulas. The conversion, however, is correct up the point of necking. From this point ...