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Runaway expansion in confined quasi-2D plasmas and vortex fluids
Runaway expansion quasi-2D plasmas vortex fluids
2010/11/11
The confined, quasi-two-dimensional guiding center plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with infinite interaction distances. The exis...
On the asymptotic expansion of the sum of the first n primes
asymptotic expansion sum the first n primes
2010/11/12
An asymptotic formula for the sum of the first n primes is derived. This result improves the previous results of P. Dusart. Using this asymptotic expansion, we prove the conjectures of R. Mandl and G...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
Hook Length Formulas for Trees by Han's Expansion
hook length formulas for trees k-ary trees planes trees labeled trees
2014/6/3
Recently Han obtained a general formula for the weight function corresponding to the expansion of a series in terms of hook lengths of binary trees. In this paper, we present weight function formulas ...
Adiabatic expansion approximation solutions for the three-body problem
three-body system adiabatic expansion method bound states energy levels Born-Oppenheimer method
2009/1/5
The motion of a muon in two centers coulomb ¯eld is one of
the interesting problems of quantum mechanics. The adiabatic expansion
method is powerful approach to study the muonic three-body syst...
Joint optimization of capacity expansion, production and maintenance in stochastic manufacturing systems
Optimal Control Numerical Methods Production Planning
2010/9/10
This paper presents an analytical model for the joint determination of optimal production, corrective maintenance and capacity expansion policies for a repairable production system subject to random f...
An Asymptotic Expansion.
Asymptotic Expansion of the Equipoise Curve of a Polynomial Inequality
Polynomial inequality Catalan numbers
2008/7/1
Asymptotic Expansion of the Equipoise Curve of a Polynomial Inequality.
On Moduli of Expansion of the Duality Mapping of Smooth Banach Spaces
Uniformly convex (smooth) Banach space Angle of modulus convexity (smoothness) Lower (upper) modulus of expansion
2008/6/27
Let X be a Banach space which is uniformly convex and uniformly smooth. We introduce the lower and upper moduli of expansion of the dual mapping J of the space X. Some estimation of certain well-known...
A Relaxation Scheme for Solving the Boltzmann Equation Based on the Chapman-Enskog Expansion
boltzmann equation chapman-Enskog expansion
2007/12/11
In [16] a visco-elastic relaxation system, called the relaxed Burnett system, was proposed by Jin and Slemrod as a moment approximation to the Boltzmann equation. The relaxed Burnett system is weakly ...