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ERRATUM:BOSE–EINSTEIN CONDENSATION BEYOND MEAN FIELD:MANY-BODY BOUND STATE OF PERIODIC MICROSTRUCTURE
Bose–Einstein condensation homogenization many-body perturbation theory two-scale expansion singular perturbation mean field limit bound state
2015/10/16
This is a correction to the author’s article [Multiscale Model. Simul.,10 (2012), pp.383–417].
A bound from below for the temperature in compressible Navier-Stokes equations
below for the temperature compressible Navier-Stokes equations
2015/10/15
We consider the full system of compressible Navier-Stokes equations for heat conducting fluid. We show that the temperature is uniformly positive for t ≥ t0 (for any t0 > 0) for any solutions with fin...
A lower bound for eigenvalues of the poly-Laplacian with arbitrary order
the eigenvalue problem a lower bound for eigenvalues
2011/1/21
In this paper, we study eigenvalues of the poly-Laplacian with arbitrary order on a bounded domain in an n-dimensional Euclidean space and obtain a lower bound for eigenvalues, which gives an importan...
On the constant in Burgess' bound for the number of consecutive residues or non-residues
consecutive residues or non-residues math
2010/11/23
We give an explicit version of a result due to D. Burgess. Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. We show that the maximum number of consecutive integers for which $\ch...
An upper bound for the Hosoya index of trees
Hosoya index of graphs tree eigenvalue of graphs
2010/9/13
The Hosoya index of a graph G is defined as the sum of all the numbers of k - matchings (k ≥ 0) in G. An upper bound for the Hosoya index of trees is presented in this note.
A New Upper Bound of the Logarithmic Mean
Logarithmic mean Power mean Heron mean Best constant
2008/7/3
A New Upper Bound of the Logarithmic Mean.
A Bound on the Deviation Probability for Sums of Non-Negative Random Variables
Deviation bounds Bernstein's inequality Hoeffdings inequality
2008/7/3
A simple bound is presented for the probability that the sum of nonnegative independent random variables is exceeded by its expectation by more than a positive number t. If the variables have the same...
On an Upper Bound for the Deviations from the Mean Value
Arithmetic mean Square mean Cauchy-Schwarz-Buniakovski inequality Triangle inequality
2008/6/30
A completely elementary proof of a known upper bound for the deviations from the mean value is given. Related inequalities are also discussed. Applications to triangle inequalities provide characteriz...
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems
Integer programming separable concave programming
2010/9/15
A branch and bound-PSO hybrid algorithm for solving integer separable concave programming problems is proposed, in which the lower bound of the optimal value was determined by solving linear programmi...
In this note we present a perturbation bound of unitarypolar factors. We add the orthogonal projectors into the bound; asa result, a uniform perturbation bound of $Q$-factors is obtained,and the previ...
For the bin-packing FFD algorithm we give a.proof of FFD (L) ≤■ OPT (L) +■. The best bound before was FFD (L)≤■ OPT (L) +1 given by Yue Minyi.
On the Upper Bound of Second Eigenvalues for Uniformly Elliptic Operators of any Orders
uniformly elliptic operators of any orders
2007/12/10
r + 1. We consider the eigenvalue problems (1.1) and (1.2), and obtain Theorem 1 and Theorem 2, which generalize the results in [1,2,5].
An m-restricted edge cut is an edge cut that separates a connected graph into a disconnected one with no components having order less than m. m-restricted edge connectivity λ_m is the cardinality of a...
A TIGHT LOWER BOUND ON THE MAXIMUM GENUS OF 3-EDGE CONNECTED LOOPLESS GRAPHS
Maximum genus 3-edge connect
2007/12/10
It is shown that the lower bound on the maximum genus of a 3-edge connected loopless graph is at least one-third of its cycle rank. Moreover, this lower bound is tight. There are infinitely such graph...
The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States
Dirac Particles Non-Abelian Gauge Fields Gravity - Bound States
2010/11/2
We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are deriv...