It is shown that the existence of a BIB design with parameters v = 2k − 2k+1, b = 2v, r = 2k, k, λ = 1 implies the existence of Hadamard matrices of orders 4v and 8vt, where t is an integer for which an orthogonal design of order 4t and type (t, t, t, t) exists.

Three cDNA with D region gene features have been identified from the H-2v haplotype. Provisionally, the sequences have been designated as D/Lv1, D/Lv2, and D/Lv3. The coding segments for the antigen binding domain (ABD) of all three D/Lv genes were engineered into a class I genomic expression vector and expressed in L cells. FACS analysis of the three D/Lv-Ld gene transfectants revealed that th...

Let G=(V,E) be an undirected graph, LG∈RV×V the associated Laplacian matrix, and b∈RV a vector. Solving system LGx=b has numerous applications in theoretical computer science, machine learning, network analysis. Recently, notion of operator LF:RV→2RV for submodular transformation F:2V→R+E was introduced, which can handle graphs, directed hypergraphs, joint distributions unified manner. In this ...

Consider a random three-coordinate lattice of spherical topology having 2v vertices and being densely covered by a single closed, self-avoiding walk, i.e. being equipped with a Hamiltonian cycle. We determine the number of such objects as a function of v. Furthermore we express the partition function of the corresponding statistical model as an elliptic integral. PACS codes: 05.20.y, 04.60.Nc, ...

X iv :m at h/ 06 10 74 2v 2 [ m at h. C O ] 2 8 O ct 2 00 6 Clustering of spectra and fractals of regular graphs V. Ejov, J.A. Filar, S.K. Lucas, P. Zograf 1 School of Mathematics and Statistics, University of South Australia, Mawson Lakes SA 5095 Australia 2 Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA 22807, USA 3 St. Petersburg Department of Steklov In...

A substrate isolated LDO for an inductively powered retinal implant to generate a negative substrate voltage of −2V out of a more negative rectified voltage down to −7V is presented. Due to the fact that the negative rectified input voltage is negative relative to substrate, the LDO has to be completely isolated against substrate. The LDO has an Open Loop Gain of 66dB and a PSRR of −81dB at low...