Abstract The issue of how to find the best acoustical fit to a set of anisotropic elastic constants is addressed. The optimal moduli are determined which minimize the orientation averaged squared-norm of the difference in the acoustical tensors. The optimal moduli are derived explicitly and turn out to be identical to those obtained by minimizing the Euclidean distance function, or equivalently...

The action of the mapping class group of a surface on the collection of homotopy classes of disjointly embedded curves or arcs in the surface is discussed here as a tool for understanding Riemann’s moduli space and its topological and geometric invariants. Furthermore, appropriate completions, elaborations, or quotients of the set of all such homotopy classes of curves or arcs give for instance...

As one of the processor's ALU performance issues, the carry propagation during the addition operation limits the speed of arithmetic operation. This work aims to build an Efficient Hardware Design for an Adder based on Residual Numbering System (RNS), with a pre-specified special set of moduli to simplify the implementation for the purpose of proving the feasibility of its usage. Our design can...

In this paper, we propose a novel high speed memoryless reverse converter for the moduli set {22n+1 − 1,2n,2n − 1}. First, we simplify the traditional Chinese Remainder Theorem in order to obtain a reverse converter that only requires arithmetic mod-(22n+1 − 1). Second, we further improve the resulting architecture to obtain a reverse converter that only uses Carry Save Adders and Carry Propaga...

The general theory for small dynamic motion superimposed upon large static deformation, or acoustoelasticity, is developed for isotropic fluid-filled poroelastic solids. Formulas are obtained for the change in acoustic wave speeds for arbitrary loading, both on the frame and the pore fluid. Specific experiments are proposed to find the complete set of third-order elastic moduli for an isotropic...

In the 80’s M. Cornalba and J. Harris discovered a relation among the Hodge class and the boundary classes in the Picard group with rational coefficients of the moduli space of stable, hyperelliptic curves. They proved the relation by computing degrees of the classes involved for suitable one-parameter families. In the present article we show that their relation can be obtained as the class of ...

1.1 The classical Hurwitz space and the moduli of curves The classical Hurwitz space first appeared in the work of Clebsch [5] and Hurwitz [17] as an auxiliary object to study the moduli space of curves. Let X be a smooth projective curve of genus g over C. A rational function f : X → P of degree n is called simple if there are at least n − 1 points on X over every point of P. Such a cover has ...

We show that the Galois group Gal(Q̄/Q) operates faithfully on the set of connected components of the moduli spaces of surfaces of general type, and also that for each element σ ∈ Gal(Q̄/Q) different from the identity and from complex conjugation, there is a surface of general type such that X and the Galois conjugate variety Xσ have nonisomorphic fundamental groups. The result was announced by t...

The purpose of this work is to apply the degeneration theory developed in [GL] to study the moduli space of stable vector bundles of arbitrary rank on any smooth algebraic surface (over C). We will show that most of the recent progress in understanding moduli of rank two vector bundles can be carried over to high rank cases. After introducing the notion of stable vector bundles, the first autho...

In theories beyond the Standard Model, in particular with extra spatial dimensions such as superstring theory, there are a large number of scalar fields which appear low energy effective action. These moduli must be stabilized. Often, stabilization involves stage during oscillatte coherently about their ground state value. Here, we study and graviton production period background modulus field i...