We present a spectral theory of uniform hypergraphs that closely parallels Spectral Graph Theory. A number of recent developments building upon classical work has led to a rich understanding of “symmetric hyperdeterminants” of hypermatrices, a.k.a. multidimensional arrays. Symmetric hyperdeterminants share many properties with determinants, but the context of multilinear algebra is substantiall...

This paper presents uniform risk spectra for zero stiffness bilinear elastic (ZSBE) systems. The ZSBE oscillator is a system with post-“yield” that satisfactorily predicts the response of different systems negative lateral (e.g., free-standing or restrained rocking blocks). It can be described by single parameter; thus, it simpler to produce its spectrum. Using proxy, this provides sites in six...

in this research calcium fluoride nanoparticles and its different amount of cerium ion dopant (5%and 10%) were prepared. the mentioned nanoparticle were studied by fourier transform infrared spectroscopy (ftir) , x-ray diffraction (xrd), absorption and photoluminescence spectra (pl) and scanning electron microscopy (sem). the xrd patterns indicate a typical cubic fluorite structure and no other...

The severity of vertical seismic ground motions is often factored into design regulations as a component their horizontal counterparts. Furthermore, most codes, including Eurocode 8, ignore the impact local soil on spectra. This paper investigates pseudo-absolute acceleration spectral estimates, well ratios estimates for strong motion in and directions, low to medium seismicity regions with dee...

The response spectra defined in the appropriate Euro standards from first and second generation (EN 1998–1 EN 1998-1-1), which determine seismic load for common buildings, are critically presented first. To avoid a reduction earthquake loading on structures using spectra, only few points of 1998-1-1 determined by applying probabilistic concept hazard assessment. comparison current is made with ...

For G a locally compact abelian group, any closed invariant proper subalgebra of CQ(G) has analytic discs in its spectrum. Related results are given for A(G) and B(G). For a compact group G it is an easy consequence of Bishop's generalized Stone-Weierstrass theorem and some well-known facts on representations that a proper (doubly) invariant uniform algebra on G cannot have G as its spectrum. (...