This paper proposed to take advantages of resonant ultrasound spectroscopy (RUS) to measure the mechanical properties of human dentin specimen. The resonant spectroscopy of the dentin specimen was obtained between the frequency bands 155 and 575 kHz, and resonant frequencies were extracted by linear predictive filter and then by Levenberg-Marquardt method. By inverse problem approach, 13 experi...

In this paper we study topology of moduli spaces of tropical curves of genus g with n marked points. We view the moduli spaces as being imbedded in a larger space, which we call the moduli space of metric graphs with n marked points. We describe the shrinking bridges strong deformation retraction, which leads to a substantial simplification of all these moduli spaces. In the rest of the paper, ...

We consider the moduli space Rn of pairs of monic, degree n polynomials whose resultant equals 1. We relate the topology of these algebraic varieties to their geometry and arithmetic. In particular, we compute their étale cohomology, the associated eigenvalues of Frobenius, and the cardinality of their set of Fq-points. When q and n are coprime, we show that the étale cohomology of Rn/Fq is pur...

We consider the moduli space Rn of pairs of monic, degree n polynomials whose resultant equals 1. We relate the topology of these algebraic varieties to their geometry and arithmetic. In particular, we compute their étale cohomology, the associated eigenvalues of Frobenius, and the cardinality of their set of Fq-points. When q and n are coprime, we show that the étale cohomology of Rn/Fq is pur...

The classical moduli space M of a supersymmetric gauge theory with trivial superpotential can be stratified according to the unbroken gauge subgroup at different vacua. We apply known results about this stratification to obtain the W 6= 0 theory classical moduli space M ⊂ M, working entirely with the composite gauge invariant operators φ̂ that span M, assuming we do not know their elementary mat...

Quantization needs evaluation of all of states of a quantized object rather than its stationary states with respect to its energy. In this paper, we have investigated moduli Melas of a quantized elastica, a quantized loop with an energy functional associated with the Schwarz derivative, on a Riemann sphere P. Then it is proved that its moduli space is decomposed to a set of equivalent classes d...

We show that the category of representations of the Euclidean group of orientation-preserving isometries of two-dimensional Euclidean space is equivalent to the category of representations of the preprojective algebra of type A∞. We also consider the moduli space of representations of the Euclidean group along with a set of generators. We show that these moduli spaces are quiver varieties of th...