state 
To prove this, we first state and prove a general result which gives a criterion for checking whether a variety of dimensionN≥3 is a (compactification of a) ball quotient.


We state a localization principle for expansions in eigenfunctions of a selfadjoint second order elliptic operator and we prove an equiconvergence result between eigenfunction expansions and trigonometric expansions.


The current state nanotechnology is comparable with the level of technological development in polymers and plastics in the 1930s.


Results showed that over the concentration range of 616 mM, Me2SnCl2 is a chemical denaturant and denatures the doublestrand DNA in a threestate manner.


A condition of the existence of stable positive steadystate solutions for a one predator two prey system


This paper provides a natural condition of the existence of stable positive steadystate solutions for the one predator two prey system.


Sequential quadratic programming methods for optimal control problems with state constraints


A kind of direct methods is presented for the solution of optimal control problems with state constraints.


A boundary element method for a nonlinear boundary value problem in steadystate heat transfer in dimension three


In this paper, a new method of boundary reduction is proposed, which reduces the steadystate heat transfer equation with radiation.


This paper deals with the steady state bifurcation of the KS equation in two spatial dimensions with periodic boundary value condition and of zero mean.


With the increase of parameter α, the steady state bifurcation behaviour can be very complicated.


The asymptotic expressions of the steady state solutions bifurcated from the trivial solution near α=2 and α=5 are given.


To some twoperiod economies with countable infinite state spaces, the existence of expectation equilibrium of real asset economies with transaction costs is given.


The algorithm for obtaining decentralized state feedback control to stable the overall system is presented.


Several theorems on the finiteness of energy for quasiharmonic spheres are proved, some counterexamples which state that the energy of quasiharmonic sphere may be infinite are given.


The spectral radiuses of GaltonWatson branching processes which describes the speed of the process escaping from any state are calculated.


Using a supplementary variable method, the steadystate solutions for some queueing and reliability measures of the system are obtained.


By a simple method (techniques of probability decomposition, renewal process theory) that is different from the techniques used by Hunter (1983), the transient property of the queue with initial state i(i ≥ 0) is discussed.


Synthesis, chargeseparated state characterization of Nmethyl2(4'Nethylcarbozole)3fulleropyrrolidine and its derivatives

