|A survey of author's results related to the problems of existence of continuous invariants (moduli) of-conjugacy of multidimensional diieomorphisms with homoclinic tan-gencies is presented. The problem of bifurcations of periodic orbits is considered in the case of four-dimensional diieomorphisms with a nontransversal homoclinic orbit to a xed point of saddle{focus type. INTRODUCTION It is wel...

The 4-moduli{ } set has been recently proposed for large dynamic range of 6n-bits .for this 4moduli set reverse converter design based on New CRT-1 and MRC has already been proposed. In this paper we propose reverse converter design for 4-moduli set{ }based on New CRT-II theorem to achieve more efficient residue number system(RNS) than the former one. The design is achieved using carry save add...

The useful feature of residue number system (RNS) to peform addition, subtraction and multiplication without carry-chain between residue digits, has made RNS suitble for using in special-purpose digital computing systems. The total efficiency of an RNS system depends on the performance of reverse converter as well as arithmetic unit. Due to this, many researches have been done on designing reve...

It is well known that the mechanical properties of fiberglass reinforced "phenolic moulding compounds" are significantly enhanced if the glass particles are coated with silane coupling agents before compounding. It has been shown that improvements obtained by using scanning electron microscopy techniques are due to better bonding of phenolic resin to the surface of treated glass fibers. These o...

In this paper we shall construct master spaces for certain coupled vector bundle problems over a fixed projective variety X. These master spaces, which are moduli spaces for oriented torsion free coherent sheaves coupled with morphisms into a fixed reference sheaf E 0 , have the structure of polarized projective varieties endowed with a natural C *-action. The fixed point set of this action con...

In this paper, we investigate Residue Number System (RNS) to decimal conversion for a three moduli set with a common factor. We propose a new RNS to binary converter for the moduli set {2n + 2, 2n + 1, 2n} for any even integer n > 0. First, we demonstrate that for such a moduli set, the computation of the multiplicative inverses can be eliminated. Secondly, we simplify the Chinese Remainder The...

‎We introduce a higher dimensional Atkin-Lehner theory for‎ ‎Siegel-Parahoric congruence subgroups of $GSp(2g)$‎. ‎Old‎ ‎Siegel forms are induced by geometric correspondences on Siegel‎ ‎moduli spaces which commute with almost all local Hecke algebras‎. ‎We also introduce an algorithm to get equations for moduli spaces of‎ ‎Siegel-Parahoric level structures‎, ‎once we have equations for prime l...

Residue number systems have gained significant importance in the field of high-speed digital signal processing due to their carry-free nature and speed-up provided by parallelism. The cynical aspect in the application of RNS is the selection of the moduli set and the design of the conversion units. In the residue number system, a set of moduli which are independent of each other is given. An in...

Residue Number System (RNS), which originates from the Chinese Remainder Theorem, offers a promising future in VLSI because of its carry-free operations in addition, subtraction and multiplication. This property of RNS is very helpful to reduce the complexity of calculation in many applications. A residue number system represents a large integer using a set of smaller integers, called residues....

Recently, there has been renewed interest in the mathematics of the moduli space of conformal field theories, in particular in connection with speculations about elliptic cohomology. The purpose of this paper is to investigate this space by perturbative methods from first principles and from a purely “worldsheet” point of view. It is conjectured that at least at generic points, the moduli space...