In this paper we consider lightweight routing in a wireless sensor network deployed in a complex geometric domain Σ with holes. Our goal is to find short paths of different homotopy types, i.e., paths that go around holes in different ways. In the example of Figure 1, there are three holes in the network and there are many different ways to “thread” a route from s to t. Observe that paths α, β,...

Hubble Space Telescope (HST) images and spectra of the nucleated dwarf elliptical galaxy NGC 205 are combined with 3-integral axisymmetric dynamical models to constrain the massMBH of a putative nuclear black hole. This is only the second attempt, after M33, to use resolved stellar kinematics to search for a nuclear black hole with mass below 10 solar masses. We are unable to identify a best-fi...

We report the successful extraction of spin-polarized current from the organic-based room temperature ferrimagnetic semiconductor V[TCNE](x) (x∼2, TCNE: tetracyanoethylene; T(C)∼400  K, E(G)∼0.5  eV, σ(300 K)∼10(-2)   S/cm) and its subsequent injection into a GaAs/AlGaAs light-emitting diode. The spin current tracks the magnetization of V[TCNE](x∼2), is weakly temperature dependent, and exhibit...

The integrated line width derived from CO spectroscopy provides a powerful tool to study the internal kinematics of extragalactic objects, including quasars at high redshift, provided that the observed line width can be properly translated to more conventionally used kinematical parameters of galaxies. We show, through construction of a Ks-band CO Tully-Fisher relation for nearby galaxies spann...

Controversy regarding whether Narrow Line Seyfert 1 galaxies (NLS1s) follow the same black hole — galactic bulge relation as normal galaxies has been raised by Mathur et al. (2001) and Ferrarese et al. (2001). In this paper, the correlation between the black hole mass and the velocity dispersion of the narrow line region, indicated by the [OIII] line width for a heterogeneous sample of NLS1s, i...

We consider the Hubbard chain in a magnetic field and chemical potential. We introduce a pseudohole basis where all states are generated from a single reference vacuum. This allows the evaluation for all sectors of Hamiltonian symmetry of the model of the expression of the σ electron and hole operators at Fermi momentum ±k F σ and vanishing excitation energy in terms of pseudohole operators. In...

We report a detailed study of the electronic structure of the MgB2 with different lattice constants by using the full-potential linearized augmented plane wave(FPLAPW) method. It is found that the lattice parameters have great effect on the σ band of Boron. Our results indicate that increasing lattice constant along the c axis will increase the density of states(DOS) at the Fermi level, making ...