Effects of Oxide Content on the Glass-Forming Ability of the Ga2S3-Na2S System

Gallium–sodium–sulfide glasses have been shown to be the most promising host for the 1.3 μm fiber optic amplifier so far. However, the current study has revealed that the formation of stable glasses in this system relies on the existence of a certain amount of oxide in the composition. A glass-forming region was identified when 3 mol% Ga₂O₃ was introduced into the melts. Both bulk crystallization and surface crystallization can take place in this system. The thermal behavior of the glasses obtained was studied by DTA and characteristic infrared and UV/visible transmission spectra are presented. The current results are discussed and compared with those previously reported.     

Graph embeddings and simplicial maps

An undirected graph is viewed as a simplicial complex. The notion of a graph embedding of a guest graph in a host graph is generalized to the realm of simplicial maps. Dilation is redefined in this more general setting. Lower bounds on dilation for various guest and host graphs are considered. Of particular interest are graphs that have been proposed as communication networks for parallel architectures. Bhattet al. provide a lower bound on dilation for embedding a planar guest graph in a butterfly host graph. Here, this lower bound is extended in two directions. First, a lower bound that applies to arbitrary guest graphs is derived, using tools from algebraic topology. Second, this lower bound is shown to apply to arbitrary host graphs through a new graph-theoretic measure, called bidecomposability. Bounds on the bidecomposability of the butterfly graph and of thek-dimensional torus are determined. As corollaries to the main lower-bound theorem, lower bounds are derived for embedding arbitrary planar graphs, genusg graphs, andk-dimensional meshes in a butterfly host graph.     

How Will We Interact with the Web of Data?

The Web is currently evolving from an information space of linked documents, to a Web of linked, machine-readable data. Perhaps counter-intuitively, this shift to publishing data for machine consumption raises many challenges for human-computer interaction. In this article I will discuss some of the implications of this trend for how we interact with the Web of data and consider how familiar tools such as the Web browser may need to develop.     

Solution of sparse positive definite systems on a shared-memory multiprocessor

Algorithms and software for solving sparse symmetric positive definite systems on serial computers have reached a high state of development. In this paper, we present algorithms for performing sparse Cholesky factorization and sparse triangular solutions on a shared-memory multiprocessor computer, along with some numerical experiments demonstrating their performance on a Sequent Balance 8000 system.Research was supported by the Applied Mathematical Sciences Research Program of the Office of Energy Research, U.S. Department of Energy under contract DE-AC05-84OR21400 with Martin Marieta Energy Systems, Inc., by the U.S. Air Force Office of Scientific Research under contract AFOSR-ISSA-85-00083 and by the Canadian Natural Sciences and Engineering Research Council under grants A8111 and A5509.     

Factorization of multipliers in passivity and IQC analysis

Multipliers are often used to find conditions for the absolute stability of Lur’e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization.     

Best-case results for nearest-neighbor learning

Proposes a theoretical model for analysis of classification methods, in which the teacher knows the classification algorithm and chooses examples in the best way possible. The authors apply this model using the nearest-neighbor learning algorithm, and develop upper and lower bounds on sample complexity for several different concept classes. For some concept classes, the sample complexity turns out to be exponential even using this best-case model, which implies that the concept class is inherently difficult for the NN algorithm. The authors identify several geometric properties that make learning certain concepts relatively easy. Finally the authors discuss the relation of their work to helpful teacher models, its application to decision tree learning algorithms, and some of its implications for experimental work     

Flow cytometry with a monoclonal antibody to the low density lipoprotein receptor compared with gene mutation detection in diagnosis of heterozygous familial hypercholesterolemia

We used a fluorescence flow cytometry assay with a monoclonal low density lipoprotein (LDL) receptor-specific antibody to detect LDL receptor expression on blood T lymphocytes and monocytes. We prepared peripheral blood mononuclear cells from patients with genetically verified LDL receptor-defective (Trp66-Gly mutation, n = 17) or receptor-negative (Trp23-stop mutation, n = 17) heterozygous familial hypercholesterolemia (FH) and from healthy individuals (n = 24). The cells were stimulated to express the maximum amount of LDL receptor by preincubation in lipoprotein-deficient medium. A dual-labeling technique allowed flow cytometric analysis of LDL receptor expression on cells identified by fluorescently conjugated surface marker antibodies. Knowing the LDL receptor gene mutation of the FH patients allowed us to compare the diagnostic capability of this functional assay with the DNA diagnosis and to validate the assay with molecular genetics instead of clinical indices of heterozygous FH. T lymphocytes expressed more LDL receptors and gave better diagnostic results than monocytes, and cells from patients with either the Trp66-Gly or the Trp23-stop mutation had variable but significantly reduced LDL receptor expression. The data indicate that this fluorescence flow cytometry assay is unsuitable for diagnosis of individual cases of heterozygous FH but that it may be useful for functionally characterizing mutations in the LDL receptor gene.