ch for the three-dimention

regulation of the muscle length and the arm of muscular force when the hip was at standard anatomic attitude and in the whole distance range with exercise.Result enunciation: In regard to the machine axes of lower extr     

Strichartz estimates for the Schrödinger propagator for the Laguerre operator

We obtain homogeneous Strichartz estimate for the Schrödinger propagator e $^{-itL_{\alpha}}$ for the Laguerre operator L _α on ${\mathbb R}_+^n$ . We follow regularization technique as introduced in J. Funct. Anal. 224(2) (2005) 371–385. We also establish inhomogeneous Strichartz estimates for different admissible pairs.     

Anti-integrability for the Logistic Maps

The embedding of the Bernoulli shift into the logistic map x→μx(1- x) forμ> 4 is reinterpreted by the theory of anti-integrability: it is inherited from the anti-integrable limitμ→∞.     

Harnack estimate for the H~k-flow

We obtain the Harnack estimate of the solution to H~k-flow in Euclidean space R~(n 1),for k>0.By using this estimate,we get some corollaries about the translation soliton.     

Asymptotic Expansions for the Congestion Period for the M/M/∞ Queue

We consider the M/M/ queue with arrival rate , service rate and traffic intensity =/. We analyze the first passage distribution of the time the number of customers N(t) reaches the level c, starting from N(0)=m>c. If m=c+1 we refer to this time period as the congestion period above the level c. We give detailed asymptotic expansions for the distribution of this first passage time for , various ranges of m and c, and several different time scales. Numerical studies back up the asymptotic results.     

Stability for the inverse potential problem by the local Dirichlet-to-Neumann map for the Schrödinger equation

In this article we study, in dimension n?≥?3, the inverse problem of determining the potential q of the Schrödinger equation from infinity measurements on any open subset Γ₀ of the boundary. Provided that q is known in a neighborhood of the boundary, we prove the logarithmic stability estimate.     

Algorithm for solving the Navier–Stokes equations for the modeling of creeping flows

We study a coupled algorithm for solving the two-dimensional Navier–Stokes equations in the stream function–vorticity variables. The algorithm is based on a finite-difference scheme in which the inertial terms in the vortex transport equation are taken from the lower time layer and the dissipative terms, from the upper time layer. In the linear approximation, we study the stability of this algorithm and use test computations to show its advantages when modeling flows at moderate Reynolds numbers.     

A Criterion for the Uniqueness of the Solution of the Tricomi Problem for the Multidimensional Lavrent’ev–Bitsadze Equation

Differential Equations - An example of a mixed domain in which the solution of the Tricomi problem is trivial is given. A criterion for the uniqueness of the classical solution of this problem is...     

On the failure of concentration for the ℓ∞-ball

Let (X, d) be a compact metric space and µ a Borel probability on X. For each N ≥ 1 let d_∞^N be the ?_∞-product on X^N of copies of d, and consider 1-Lipschitz functions X^N → ? for d_∞^N.     

Remarks on the Extremal Functions for the Moser-Trudinger Inequality

We will show in this paper that if A is very close to 1, then I（M,λ,m） =supu∈H0^1,n（m）,∫m｜△↓u｜^ndV=1∫Ω（e^αn｜u｜^n/（n-1）-λm∑k=1｜αnun/（n-1）｜k/k!）dV can be attained, where M is a compact-manifold with boundary. This result gives a counter-example to the conjecture of de Figueiredo and Ruf in their paper titled ＂On an inequality by Trudinger and Moser and related elliptic equations＂ （Comm. Pure. Appl. Math., 55, 135-152, 2002）.     

Estimation for the Dilatation of the Generalized Beurling-Ahlfors' Extension

51.IntroductionLethbeahomeomorphismontherealaxisR,andsatisfyh(lco)=loo.Wecallaquasisymmetricfunction.lfthereexistsa'constantMsuchthatM-1Sp(x,t)SM,x,teR,(l.2)then(1.2)iscalledtheM-condition-Byvirtueoftheclassicresultofpaper[lj,ifp(x,t)sat-isfiestheM-condition,thenthereexistsaK(M')-quasiconformaIextensiononthel1alfplaneH,whichisthewell-knownBeurling-Ahlfors'extension:ytz)=u(x,y) iv(x,y),whereAfterpaper[lj,manyworkshavebeendoneforestimatingK-Particularly,itshouldbere-markedheretl1atM.Leht…     

Recursions for the Individual Risk Model

In the actuarial literature,several exact and approximative recursive methods have been proposedfor calculating the distribution of a sum of mutually independent compound Bernoulli distributed randomvariables.In this paper,we give an overview of these methods.We compare their performance with the straight-forward convolution technique by counting the number of dot operations involved in each method.It turns outthat in many practicle situations,the recursive methods outperform the convolution method.     

Continuous Limit for the Toda Hierarchy

ＴｈｅｒｅｌａｔｉｏｎｂｅｔｗｅｅｎｔｈｅＫｄＶｈｉｅｒａｒｃｈｙａｎｄｔｈｅｃｏｎｔｉｎｕｏｕｓｌｉｍｉｔｏｆｔｈｅＫａｃ－ｖａｎＭｏｅｒｂｅｋｅ（ＫｖＭ）ｈｉｅｒａｒｃｈｙ，ｗｈｉｃｈｉｓｔｈｅｒｅｄｕｃｔｉｏｎｏｆＴｏｄｅｈｉｅｒａｒｃｈｙ，...     

Asymptotics for the Korteweg-de Vries-Burgers Equation

We study large time asymptotics of solutions to the Korteweg-de Vries-Burgers equation ut＋uux-uxx＋uxxx=0,x∈R,t〉0. We are interested in the large time asymptotics for the case when the initial data have an arbitrary size. We prove that if the initial data u0 ∈H^s （R）∩L^1 （R）, where s 〉 -1/2, then there exists a unique solution u （t, x） ∈C^∞ （（0,∞）;H^∞ （R）） to the Cauchy problem for the Korteweg-de Vries-Burgers equation, which has asymptotics u（t）=t^-1/2fM（（·）t^-1/2）＋0（t^-1/2） as t →∞, where fM is the self-similar solution for the Burgers equation. Moreover if xu0 （x） ∈ L^1 （R）, then the asymptotics are true u（t）=t^-1/2fM（（·）t^-1/2）＋O（t^-1/2-γ） where γ ∈ （0, 1/2）.     

Particular rules for the Θ-algorithm

The -algorithm is an extrapolation algorithm which can be very useful in accelerating some slowly convergent sequences. Like the other acceleration algorithms, the -algorithm is quite sensitive to the propagation of rounding errors due to cancellation in the difference between two almost equal quantities.In order to (partially) avoid this drawback, particular rules are given. They have to be used, instead of the usual rules of the algorithm, when two adjacent quantities in a column are nearly equal. Numerical examples show that these rules can improve the numerical stability of the algorithm in some cases while, in other cases, the improvement is non-existent.     

Evidence for the charged θ-meson

A K-meson is found to decay at rest into a nearly relativistic secondary particle. The secondary particle produces a nuclear disintegration in flight and is identified as a π-meson of kinetic energy ～ 110 MeV. The event is interpreted as the decay of a θ^±-meson according to the scheme:

$$\theta ^ \pm \to \pi ^ \pm + \pi ^0 + (222 \pm 12 MeV.)$$     

Explicit Formulae for the Wave Kernels for the Laplacians Δαβ in the Bergman Ball Bn,n≥1

For the perturbed Bergman Laplacians given by in the unit ball B ⁿ of C ⁿ we establish explicit formulae for the corresponding wave equations in B _n. The formulae obtained generalise, for arbitrary , the formulae given in [2] and [5] for the wave equation associated to the shifted Bergman Laplacian =₀₀ in B _n. Moreover, using an analytic continuation argument, we are able to give explicit formulae for the solutions of the wave equation associated to a two parameter family of Laplacians _, on C ⁿ which are natural deformations of the Fubini-Study Laplacian on the Projective space P ⁿ(C) , n 1, viewed as the dual space of the Bergman ball B _n.