For any closed connected d-manifold M let ](M) denote the set of vectors / (K)= (]0(K) ..... fd(K)), where K ranges over all triangulations of M and ]k(K) denotes the number of k-simplices of K. The principal results of this paper are Theorems 1 through 5 below, which, together with the Dehn-Sommerville equations reviewed in w 2, yield a characterization of ](M) for some of the simpler 3and 4-m...

We present fully dynamic algorithms for maintaining 3and 5-spanners of undirected graphs under a sequence of update operations. For unweighted graphs we maintain a 3or 5-spanner under insertions and deletions of edges; each operation is performed in O(n) amortized time over a sequence of Ω(n) updates. The maintained 3-spanner (resp., 5-spanner) has O(n) edges (resp., O(n) edges), which is known...

For an /-uniform hypergraph 3and an integer n, the Turan number ex(n, F) for F on n vertices is denned to be the maximum size \Q\ of a hypergraph Q C [n] not containing a copy of F C2\ as a subhypergraph. For 1 = 1 and f = Kk , the complete graph on k vertices, these numbers were determined by P. Turan. However, for I > 2, and nearly any hypergraph F, the Turan problem of determining the number...

Using muon spin spectroscopy we have found that, for both NaxCoO2 (0.6 x 0.9) and 3and 4-layer cobaltites, a common low temperature magnetic state (which in some cases is manifest as an incommensurate spin density wave) forms in the CoO2 planes. Here we summarize those results and report an almost dome-shaped relation <_ <_ between the transition temperature into the low-T magnetic state and th...

Ketamine is a noncompetitive antagonist of the NMDA-receptors, used as a dissociative anesthetic, presently included in the category of the psychoactive substances known as "club drugs". Ketamine administration was associated with impaired working memory and increased psychopathological symptoms, but there is a lack of information regarding the effects of chronic sub-anesthetic doses. Adult Wis...

Kuznetsov, Andrey, Vytautas P. Bindokas, Jeremy D. Marks, and Louis H. Philipson. FRET-based voltage probes for confocal imaging: membrane potential oscillations throughout pancreatic islets. Am J Physiol Cell Physiol 289: C224–C229, 2005. First published March 9, 2005; doi:10.1152/ajpcell.00004.2005.—Insulin secretion is dependent on coordinated pancreatic islet physiology. In the present stud...

In this paper we enumerate k-noncrossing RNA pseudoknot structures with given minimum stack-length. We show that the numbers of k-noncrossing structures without isolated base pairs are significantly smaller than the number of all k-noncrossing structures. In particular we prove that the number of 3and 4-noncrossing RNA structures with stack-length ≥ 2 is for large n given by 311.2470 4! n(n−1)....