This paper presents the time complexity of two algorithms that update space-filling curves of adaptively refined domains. The Modified Hilbert (space-filling) Curve was proposed to traverse square-shaped adaptive-refined meshes. Whereas, the Sierpiński-like (space-filling) Curve was proposed in order to traverse triangular-shaped adaptive-refined meshes. Those curves are variations of the names...

In 1999, Smart has shown how to solve in linear time ECDLP for elliptic curves of trace 1 defined over a prime finite field Fp, the so-called anomalous elliptic curves. In this article, we show how to construct such cryptographically weak curves for primes p of industrial length, using complex multiplication theory.

This research was supported by the Army, Navy, Air Force and NASA under a contract. administered by the Office of Naval Research, with Yale University; by the National Science Foundation under Grant GU-2059 and the Air Force Office of Scientific Research under Contract AFOSR-68-l4l5 with the University of North Carolina at Chapel Hill. ** The major portion of the research for this paper was don...

This paper presents a method for fitting a nD fixed width spherical shell to a given set of nD points in an image in the presence of noise by maximizing the number of inliers, namely the consensus set. We present an algorithm, that provides the optimal solution(s) within a time complexity O(N logN) for dimension n, N being the number of points. Our algorithm guarantees optimal solution(s) and h...

We introduce a new ideal D of the p-adic Galois group-ring associated to a real abelian field and a related ideal J for imaginary abelian fields. Both result from an equivariant, Kummer-type pairing applied to Stark units in a Z p-tower of abelian fields and J is linked by explicit reciprocity to a third ideal S studied more generally in [So3]. This leads to a new and unifying framework for the...

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...

In the Present study, attempt will be made to propose a new method for prediction of long-term essential creep of concrete utilizing some short-term creep tests under high temperature. To do so, regarding the similarities between essential creep of concrete and creep in viscoelastic materials, the time–temperature equivalence relation in viscoelastic materials is evaluated for concrete. This re...

In the Present study, attempt will be made to propose a new method for prediction of long-term essential creep of concrete utilizing some short-term creep tests under high temperature. To do so, regarding the similarities between essential creep of concrete and creep in viscoelastic materials, the time–temperature equivalence relation in viscoelastic materials is evaluated for concrete. This re...