multi frequency vibrations of a system of two isotropic circular plates interconnected by a rolling visco-elastic layer that has nonlinear characteristics are considered. the system with two circular plates and interconnecting discrete continually distributed rolling visco nonlinear elastic rheological elements presents the model of hybrid nonlinear system. the analytical solutions of first asy...

In a recent paper LindstrSm [I] proves a theorem on finite sets and he also proves a transfinite extension. In this note we only concern ourselves with the transfinite case of Lindstriim’s theorem. He in fact proves the following theorem: Let / Y I = K be an infinite set, and let A,, l K, be subsets of Y. Then for every p -=z m there are p disj...

In a prior work the galaxies of the nonstandard enlargements of conventionally infinite graphs and also of transfinite graphs of the first rank of transfiniteness were defined, examined, and illustrated by some examples. In this work it is shown how the results of the prior work extend to transfinite graphs of higher ranks. Among those results are following principal ones: Any such enlargement ...

Till thine Infinity shall be A robe of envenomed agony; And thine Omnipotence a crown of pain, To cling like burning gold round thy dissolving brain. 1 Introduction 2 To the ω'th station! 3 Scope of some other models: the extent of computation in Malament-Hogarth spacetimes. Case Studies: a) Etesi-Németi models in Kerr spacetimes; b) Hogarth's models more abstractly considered.

We introduce a family of temporal logics to specify the behavior of systems with Zeno behaviors. We extend linear-time temporal logic LTL to authorize models admitting Zeno sequences of actions and quantitative temporal operators indexed by ordinals replace the standard next-time and until future-time operators. Our aim is to control such systems by designing controllers that safely work on ω-s...

The purpose of this paper is threefold: to present a general abstract, yet practical, notion of equational system; to investigate and develop the finitary and transfinite construction of free algebras for equational systems; and to illustrate the use of equational systems as needed in modern applications.

We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the ...

In this short note , using notions from p-Adic QFT and p-branes, we derive the transfinite M theoretical corrections (αM ) −1 = 100+61φ to El Naschie’s inverse fine structure constant value (αHS) −1 = 100+ 60φ which was based on a transfinite Heterotic string theory ormalism . φ is the Golden Mean 0.6180339.... Our results are consistent with recent Astrophysical observations of he Boomerang an...

Composite axisymmetric shells have numerous applications; many researchers have taken advantage of the general shell element or the semi-analytical formulation to analyze these structures. The present study is devoted to the nonlinear analysis of composite axisymmetric shells by using a 1D three nodded axisymmetric shell element. Both low and higher-order shear deformations are included in the ...

Introduction: Because of the importance of vertebral compressive fracture (VCF) role in increasing the patients’ death rate and reducing their quality of life, many studies have been conducted for a noninvasive prediction of vertebral compressive strength based on bone mineral density (BMD) determination and recently finite element analysis. In this study, QCT-voxel based nonlinear finite eleme...