Every elliptic curve is isomorphic to the double covering of the projective line P branching at four points. The set of the isomorphism classes of elliptic curves with marking of branching points can be identified with the configuration space M4pts of ordered four points on P. By considering their periods, one obtains a morphism per from M4pts to the set Mct of the isomorphism classes of comple...

The RNS has been considered as an interesting area for researchers in recent year. This paper presents memoryless and area efficient RNS converters for moduli set with dynamic ranges up to 6n-bit. Residue number system (RNS) has mainly targeted parallelism and larger dynamic ranges. In this paper, we start from the moduli sets {2, 2 1, 2 + 1, 2 – 2 + 1, 2 + 2 + 1} with dynamic range of 5n-bit a...

Modulo 2 ÿ 1 adders as fast as n-bit 2’s complement adders have been recently proposed in the open literature. This makes a Residue Number System (RNS) adder with channels based on the moduli 2, 2 ÿ 1, and any other of the form 2 ÿ 1, with k < n, faster than RNS adders based on other moduli. In this paper, we formally derive a parametric, with respect to the adder size, test set, for parallel t...

This brief review deals with prepotentials inspired by N = 1 SUSY considerations due to Cachazo, Intrilligator, Vafa. These prepotentials associated with matrix models following Dijkgraaf and Vafa should be considered as given on an enlarged moduli space that includes Whitham times (couplings of the superpotential). This moduli space is nothing but the whole moduli space of (decorated) hyperell...

We examine for standard-like orbifold compactification models the constraints due to quarks and leptons generation non-universality of soft supersymmetry breaking interactions. We follow the approach initiated by Ibáñez and Lüst and developed by Brignole, Ibáñez and Muñoz . This is based on a locally supersymmetric σ−model action of moduli and matter fields obeying the stringy duality symmetrie...

A central object of study in gauge theory is the moduli space of unitary flat connections on a compact surface. Thanks to the efforts of many people, a great deal is understood about the ring structure of its cohomology. In particular, the ring is known to be generated by the so-called universal classes [2, 36], and, in rank 2, all the relations between these classes are also known [3, 27, 40, ...

A central object of study in gauge theory is the moduli space of unitary flat connections on a compact surface. Thanks to the efforts of many people, a great deal is understood about the ring structure of its cohomology. In particular, the ring is known to be generated by the so-called universal classes [2, 36], and, in rank 2, all the relations between these classes are also known [3, 27, 40, ...

We study the behavior of maximal term Dirichlet series with positive exponents sum which is an entire function. For class determined by a convex growth majorant we establish criterion for equivalence logarithms moduli original and modified outside some exceptional set.

In general, Picard-Fuchs systems in N = 2 supersymmetric Yang-Mills theories are realized as a set of simultaneous partial differential equations. However, if the QCD scale parameter is used as unique independent variable instead of moduli, the resulting Picard-Fuchs systems are represented by a single ordinary differential equation (ODE) whose order coincides with the total number of independe...

Determination of the mechanical properties of carbon nanotubes is an essential step in their applications from macroscopic composites to nano-electro-mechanical systems. In this paper we report the results of a series of molecular dynamics simulations carried out to predict the elastic constants, i.e. the elements of the stiffness tensor, and the elastic moduli, namely the Young’s and shear mod...