As one of the main characteristics of seismic waves, apparent wave velocity has great influence on seismic responses of long-span suspension bridges. Understanding these influences is important for seismic design. In this article, the critical issues concerning the traveling wave effect analysis are first reviewed. Taizhou Bridge, the longest triple-tower suspension bridge in the world, is then...

Spectral analysis considers the problem of determining (the art of recovering) the spectral content (i.e., the distribution of power over frequency) of a stationary time series from a finite set of measurements, by means of either nonparametric or parametric techniques. This paper introduces the spectral analysis problem, motivates the definition of power spectral density functions, and reviews...

We study the Connes spectral distance of quantum states and analyse nonlocality a 4D generalized noncommutative phase space. By virtue Hilbert–Schmidt operatorial formulation, we obtain Dirac operator construct triple corresponding to Based on ball condition, some constraint relations about optimal elements, then calculate between two Fock states. Due noncommutativity, distances in spaces are s...

Background: Previous studies have suggested that BRCA1 dysregulation has been shown to have a role in triple-negative phenotypic manifestation. However, differences of BRCA1 expression, as a tumor suppressor gene, have rarely been investigated between luminal and triple-negative breast tumors. Therefore, the present study attempted to compare the BRCA1 expression in triple-negative with lu...

A bstract The eigenvalues of the Laplace-Beltrami operator and integrals products eigenfunctions holomorphic s -differentials satisfy certain consistency conditions on closed hyperbolic surfaces. These can be derived by using spectral decompositions to write quadruple overlap in terms triple different ways. We show how efficiently construct these use them derive upper bounds eigenvalues, follow...

We construct a Connes spectral triple or `Dirac operator' on the non-reduced fuzzy sphere $C_\lambda[S^2]$ as realised using quantum Riemannian geometry with central metric $g$ of Euclidean signature and its associated Levi-Civita connection. The Dirac operator is characterised uniquely up to unitary equivalence within our geometric setting an assumption that spinor bundle trivial rank 2 basis....