introduction: nowadays,  considerable developments  in  the field  of  radiotherapy have  been  achieved.  they  include  the  advances  made  in  the  equipments  and  treatment  planning  techniques  which  require  highly complex calculations. such achievements have made it possible to treat cancer patients not only  with  higher  radiation  dose  but  also  with  higher  precision  and  con...

Humans achieve greater jump height during a counter-movement jump (CMJ) than in a squat jump (SJ). However, the crucial difference is the mean mechanical power output during the propulsion phase, which could be determined by intrinsic neuro-muscular mechanisms for power production. We measured M. vastus lateralis (VL) fascicle length changes and activation patterns and assessed the force-length...

Let IFq be a finite field of characteristic two and let φ be the Frobenius endomorphism of an elliptic curve. To find or improve efficient algorithms for scalar multiplication sP of point P in the elliptic curve cryptography, it is always an important subject. If IFq = IF2, Solinas [5] has developed an algorithm for computing the φ-NAF. In this note, we extend Solinas’ φ-NAF algorithm to IFq, w...

To address the problems of climate change and energy security, Chinese government strived to develop renewable power as an important alternative of conventional electricity. In this paper, the learning curve model is employed to describe the decreasing unit investment cost due to accumulated installed capacity; the technology diffusion model is used to analyze the potential of renewable power. ...

On smart-cards, Elliptic Curve Cryptosystems (ECC) can be vulnerable to Side Channel Attacks such as the Re ned Power Analysis (RPA). This attack takes advantage of the apparition of special points of the form (0, y). In this paper, we propose a new countermeasure based on co-Z formulæ and an extension of the curve isomorphism countermeasure. It permits to transform the base point P = (x, y) in...

This paper describes an efficient implementation of a crypto arithmetic unit, which computes the modularoperations addition, multiplication, and inversion in prime fields. These calculations are important for an application in elliptic curve cryptography (ECC). The hardware is designed in a self-timed and low-power approach. The paper discusses the pros and cons of this approach compared to a s...

The sustainability of power infrastructures depends on their reliability. One test of the reliability of an infrastructure is its ability to function reliably in extreme environmental conditions. Effective planning for reliable electrical systems requires knowledge of unscheduled outage sources, including environmental and social factors. Despite many studies on the vulnerability of infrastruct...

We propose efficient nonparametric statistics to compare medical imaging modalities in multi-reader multi-test data and to compare markers in longitudinal ROC data. The proposed methods are based on the weighted area under the ROC curve, which includes the area under the curve and the partial area under the curve as special cases. The methods maximize the local power for detecting the differenc...

Let τ be a point in the upper half-plane such that the elliptic curve corresponding to τ can be defined over Q, and let f be a modular form on the full modular group with rational Fourier coefficients. By applying the Ramanujan differential operator D to f , we obtain a family of modular forms Dlf . In this paper we study the behavior of Dl(f)(τ) modulo the powers of a prime p > 3. We show that...

Let {uk} be a Lucas sequence. A standard technique for determining the perfect powers in the sequence {uk} combines bounds coming from linear forms in logarithms with local information obtained via Frey curves and modularity. The key to this approach is the fact that the equation uk = xn can be translated into a ternary equation of the form ay2 = bx2n + c (with a, b, c ∈ Z) for which Frey curve...