We prove that for matrix algebras Mn there exists a monomorphism ( ∏ nMn/⊕n Mn)⊗ C(S ) −→ Q into the Calkin algebra which induces an isomorphism of the K1-groups. As a consequence we show that every vector bundle over a classifying space Bπ which can be obtained from an asymptotic representation of a discrete group π can be obtained also from a representation of the group π×Z into the Calkin al...

We introduce and study a new containment relation in graphs – lift contractions. H is a lift contraction of G if H can be obtained from G by a sequence of edge lifts and edge contractions. We show that a graph contains every n-vertex graph as a lift contraction, if (1) its treewidth is large enough, or (2) its pathwidth is large enough and it is 2-connected, or (3) its order is large enough and...

P2 receptors are membrane-bound receptors for extracellular nucleotides such as ATP and UTP. P2 receptors have been classified as ligand-gated ion channels or P2X receptors and G protein-coupled P2Y receptors. Recently, purinergic signaling has begun to attract attention as a potential therapeutic target for a variety of diseases especially associated with gastroenterology. This study determine...

In this paper we study the asymptotic behavior of the tail of the stationary backlog distribution in a single server queue with constant service capacity c, fed by the so-called M=G=1 input processs or Cox input processs. Asymptotic lower bounds are obtained for any distribution G and asymptotic upper bounds are derived when G is a subexponential distribution. We nd the bounds to be tight in so...

Footnote for page 8: For the form of Lagrange's theorem used here see for example 4, Abstract. We establish an asymptotic expansion for the number jHom(G; S n)j of actions of a nite group G on an n-set in terms of the order jGj = m and the number s G (d) of subgroups of index d in G for djm: This expansion and related results on the enumeration of nite group actions follow from more general res...

and Applied Analysis 3 Proposition 2.5. Let X,G be a G-metric space. Then the following statements are equivalent. 1 The sequence {xn} is G-Cauchy. 2 For every ε > 0, there is k ∈ N such that G xn, xm, xm < ε, for all n,m ≥ k. Definition 2.6. A G-metric space X,G is called G-complete if every G-Cauchy sequence in X,G is G-convergent in X,G . Proposition 2.7. Let X,G be a G-metric space. Then, f...

We initiate the study of the Bipartite Contraction problem from the perspective of parameterized complexity. In this problem we are given a graph G and an integer k, and the task is to determine whether we can obtain a bipartite graph from G by a sequence of at most k edge contractions. Our main result is an f(k) n time algorithm for Bipartite Contraction. Despite a strong resemblance between B...

Asymptotic expansions of functions are useful in statistics in three main ways. Firstly, conventional asymptotic expansions of special functions are useful for approximate computation of integrals arising in statistical calculations. An example given below is the use of Stirling's approximation to the gamma function. Second, asymptotic expansions of density or distribution functions of estimato...

An asymptotic field is a special type of Hardy field in which, modulo an oracle for constants, one can determine asymptotic behaviour of elements. In a previous paper, it was shown in particular that limits of real Liouvillian functions can thereby be computed. Let !F denote an asymptotic field and l e t / e^" . We prove here that if G is meromorphic at the limit of/(which may be infinite) and ...

The purpose of this study was to test the hypothesis that increasing muscle contraction frequency, which alters the duty cycle and metabolic rate, would increase the contribution of the contractile phase to mean venous blood flow in isolated skeletal muscle during rhythmic contractions. Canine gastrocnemius muscle (n = 5) was isolated, and 3-min stimulation periods of isometric, tetanic contrac...