Let G be a compact connected Lie group which is equipped with a bi-invariant Riemannian metric. Let m(x, y) = xy be the multiplication operator. We show the associated fibration m : G × G → G is a Riemannian submersion with totally geodesic fibers and we study the spectral geometry of this submersion. We show the pull back of eigenforms on the base have finite Fourier series on the total space ...

In this paper, we propose a efficient and secure point multiplication algorithm, based on double-base chains. This is achieved by taking advantage of the sparseness and the ternary nature of the socalled double-base number system (DBNS). The speed-ups are the results of fewer point additions and improved formulæ for point triplings and quadruplings in both even and odd characteristic. Our algor...

Montgomery modular multiplication is one of the most important and frequently used techniques to accelerate the time consuming mathematical operations used in RSA cryptosystems. In this paper, a modified Montgomery modular multiplication algorithm is presented where the carry-save operations are split into two cycles so as to eliminate the generation of the data-dependent control signal from do...

We show that Boolean matrix multiplication, computed as a sum of products of column vectors with row vectors, is essentially the same as Warshall’s algorithm for computing the transitive closure matrix of a graph from its adjacency matrix. Warshall’s algorithm can be generalized to Floyd’s algorithm for computing the distance matrix of a graph with weighted edges. We will generalize Boolean mat...

This paper presents a series of Montgomery scalar multiplication algorithms on general short Weierstrass curves over odd characteristic fields, which need only 12 field multiplications plus 12 ∼ 20 field additions per scalar bit using 8 ∼ 10 field registers, thus significantly outperform the binary NAF method on average. Over binary fields, the Montgomery scalar multiplication algorithm which w...

In the 1990s, official land policy debates in Southern Africa have become focused on two strategies: promoting freehold land markets to replace so-called customary tenure zones and expanding ‘commercial farming’ through market mechanisms. These two strategies are expected to resolve the escalating land problems. Yet, in the guise of promoting sustainable land use, environmental care, new agricu...

Origin-destination (OD) matrices are essential for various analyses in the field of traffic planning, and they are often estimated from link flow observations. We compare strategies for allocating link flow detectors to a traffic network with respect to the quality of the estimated OD-matrix. First, an overview of allocation strategies proposed in the literature is presented. Second, we give an...

For most of the technical community, rotary flow dividers are known for synchronization two or more hydraulic actuators. However, there is also a possibility to use them pressure multiplication, regeneration, speed control. those applications, need describe behavior its quantities. This article reveals new evaluation methodology when they unconventionally used as multipliers and quantity-pressu...

in a preliminary study carried out in a simple field laboratory in bandar-abbas, southern iran, five isolates of p. falciparum collected from the patients was cultured in rpmi 1640 medium with human serum in the tightly closed screw capped vials without any devised system for adjustment of co2 and o2 mixture. the same isolates were also cultured, simultaneously, in petri-dishes using jensen-tra...