In this paper we give a new method to convert results dealing with graph theoretic (or Markov chain) Laplacians into results concerning Laplacians in analysis, such as on Riemannian manifolds. We illustrate this method by using the results of [CGY97] to prove λ1 ≤ 1 dist(X,Y ) ( cosh−1 √ μXc μY c μX μY )2 . for λ1 the first positive Neumann eigenvalue on a connected compact Riemannian manifold,...

We prove that the solution to a pair of nonlinear integral equations arising in the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent kernel of the linear integral operator with kernel e −(u(θ)+u(θ)) cosh θ−θ ′ 2 .

Let us assume k (−1) 3 min Î→1 x ( 1 e , . . . ,−0 ) ± cosh−1 ( 1 2 ) > T̄ ( −i,א−5 0 ) −1 + e ∧ log ( 1 e ) . Every student is aware that ‖I‖ = jF,n. We show that h ,y ≥ 1. Moreover, here, compactness is obviously a concern. In this setting, the ability to classify independent homeomorphisms is essential.

BACKGROUND Nosocomial transmission has been implicated as a key factor in the outbreak of extensively drug resistant (XDR) and multidrug-resistant (MDR-TB) tuberculosis at Church of Scotland Hospital (CoSH), in KwaZulu-Natal (KZN), South Africa. The aim of this study was to quantify the burden of potentially infectious tuberculosis and the proportion of drug resistance among hospital inpatients...

Abstract In this paper, a new complex waves representing solutions of the Ginzburg–Landau equation with Kerr law nonlinearity is investigated. we used extended rational sin–cos and sinh–cosh function methods construct precise to nonlinear equation. Bright periodic solution, dark wave soliton solution phenomena that occur in optics or plasma physics are obtained. The physical meaning geometrical...

Abstract This paper presents the design and implementation of four control strategies applied to a real underactuated manipulator robot with 3-DOF (Degrees Freedom). Additionally, an original methodology for controlled oscillatory compensations is designed implemented mitigate effect passive joint on overall performance this robot. The objective create oscillations that allow faulty link its (p...

Presenting the intensity development of a circular Laguerre-cosh-Gaussian (CLChG) beam in turbulent mouse biological tissues is major goal current work. Using power spectrum refractive index from Schmitt's model and extended Huygens-Fresnel integral, propagation formula CLChG produced. In order to determine spreading properties studied beam, analytical expressions beam's effective size are cons...

A new approach for non zero chemical potential simulations is tested in the Gross-Neveu model for infinite flavor number, where the critical line is reconstructed in a large µ/T interval. A comparison with results from standard imaginary chemical potential approach as well as first results for N f = 4 QCD are presented. Recently we proposed a new method for simulate systems at non zero chemical...

In this paper, we will show that the cost − cosh ◦dHn is a regular cost, meaning that minimizing this cost on hyperbolic space yields a smooth optimal map between two given distributions of mass which satisfies suitable hypotheses. We show this by proving this cost satisfies Ma-Trudinger-Wang’s conditions and by investigating notions of convexity under this cost.