This paper introduces semi-user-level communication architecture, a new high-performance light-weighted communication architecture for inter-node communication of clusters. Different from traditional kernel-level networking architecture and user-level communication architecture, semi-user-level communication architecture removes OS kernel from its message-receiving path while reserves an OS tra...

We effectively construct in the Hilbert cube H = [0, 1]ω two sets V, W ⊂ H with the following properties: (a) V ∩ W = ∅, (b) V ∪ W is discrete-dense, i.e. dense in [0, 1]D ω , where [0, 1]D denotes the unit interval equipped with the discrete topology, (c) V , W are open in H. In fact, V = S N Vi, W = S N Wi, where Vi = S2i−1−1 0 Vij , Wi = S2i−1−1 0 Wij . Vij , Wij are basic open sets and (0, ...

We explain some remarkable connections between the twoparameter symmetric polynomials discovered in 1988 by Macdonald, and the geometry of certain algebraic varieties, notably the Hilbert scheme Hilb(C 2 ) of points in the plane, and the variety Cn of pairs of commuting n× n matrices.

A regular covering projection is called dihedral or abelian if the covering transformation group is dihedral or abelian. A lot of work has been done with regard to the classification of arc-transitive abelian (or elementary abelian, or cyclic) covers of symmetric graphs. In this paper, we investigate arc-transitive dihedral regular covers of symmetric (arc-transitive) cubic graphs. In particula...

Using a similarity transformation that maps the Calogero model into N decoupled quantum harmonic oscillators, we construct a set of mutually commuting conserved operators of the model and their simultaneous eigenfunctions. The simultaneous eigenfunction is a deformation of the symmetrized number state (bosonic state) and forms an orthogonal basis of the Hilbert (Fock) space of the model. This o...