We set up a Batalin-Vilkovisky Quantum Master Equation (QME) for open-closed string theory and show that the corresponding moduli spaces give rise to a solution, a generating function for their fundamental chains. The equation encodes the topological structure of the compactification of the moduli space of bordered Riemann surfaces. The moduli spaces of bordered J-holomorphic curves are expecte...

The effect of fluxes on open string moduli is studied by analyzing the constraints imposed by supersymmetry on D-branes in type IIB flux backgrounds. We show that generically the conditions of supersymmetry cannot be maintained when moving along the geometrical moduli space of the brane, so that open string moduli are lifted. We argue that there is a disconnected and discrete set of supersymmet...

The issue of how to define and determine an optimal acoustical fit to a set of anisotropic elastic constants is addressed. The optimal moduli are defined as those which minimize the mean-squared difference in the acoustical tensors between the given moduli and all possible moduli of a chosen higher material symmetry. The solution is shown to be identical to minimizing a Euclidean distance funct...

This article introduces a universal moduli space for the set whose archetypal element is a pair that consists of a metric and second fundamental form from a compact, oriented, positive genus minimal surface in some hyperbolic 3–manifold. This moduli space is a smooth, finite dimensional manifold with canonical maps to both the cotangent bundle of the Teichmüller space and the space of SO3(C) re...

The first part of this paper describes the moduli space of stable spin curves (constructed in [Cor89]), explaining how its geometry is governed by the combinatorics of stable curves. In this context, the standard graph theoretic framework (where to every stable curve one associates its “dual graph”) is not just a book-keeping device: in Section 2, some purely combinatorial results are proved (T...

The Residue Number System based on 2 n 2 k -1 moduli set is used in the proposed model. There are more number of moduli sets among them the above mentioned one is having high performance than the other. Adder is one of the key components for the application of Residue number system (RNS). Moduli set 2 n -2 k -1 where n=16 and k=14 with the form can offer excellent balance among the RNS channels...

In this paper, a novel 3-moduli set { 2 − 1, 2, 2 − 1 } , which has larger dynamic range when compared to other existing 3-moduli sets is proposed. After providing a proof that this moduli set always results in legitimate RNS, we subsequently propose an associated reverse converter based on the New Chinese Remainder Theorem. The proposed reverse converter has a delay of (4n + 6)tFA with an area...

The Residue Number System (RNS) is an efficient alternative number system which has been attracted researchers for over three decades. In RNS, arithmetic operations such as addition and multiplication can be performed on residues without carry-propagation between them; resulting in parallel arithmetic and high-speed hardware implementations (Parhami, 2000; Mohan, 2002; Omondi & Premkumar, 2007)...

A mapping f : Z → Z is called residue-class-wise affine if there is a positive integer m such that f is affine on residue classes (mod m). The smallest such m is called the modulus of f . In this article it is shown that if the mapping f is surjective but not injective, then the set of moduli of its powers is not bounded. Further it is shown by giving examples that the three other combinations ...