Inhibitory effects of cernitin pollen extract (CN-009), consisting of T-60 (a water-soluble extract) and GBX (an acetone-soluble extract) at a ratio of 20:1, were investigated in rat urethral smooth muscle and diaphragm. In the urethral smooth muscle, CN-009 (3.0 x 10(-4) approximately 3.0 x 10(-3) g/ml), T-60 and GBX (corresponding to CN-009) concentration-dependently inhibited the noradrenali...

This thesis is concerned with a so-called speedup technique for Dijkstra’s algorithm: Contraction hierarchies. We present a model of contraction hierachies sufficiently sophisticated to capture real-world applications but yet concise enough to lend itself to theoretical investigations. This model reveals an interrelation between contraction hierarchies and filled graphs that directly relates th...

We study the parameterized complexity of Split Contraction andThreshold Contraction. In these problems we are given a graph G and an integer k and asked whether G can be modified into a split graph or a threshold graph, respectively, by contracting at most k edges. We present an FPT algorithm for Split Contraction, and prove that Threshold Contraction on split graphs, i.e., contracting an input...

jachymski [ proc. amer. math. soc., 136 (2008), 1359-1373] gave modified version of a banach fixed point theorem on a metric space endowed with a graph. in the present paper, (g, φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. also, hardy-rogers g-contraction have been introduced and some fixed point theorems have been proved. s...

Suppose that a finitely generated group G is hyperbolic relative to a collection of subgroups {H1, . . . ,Hm}. We prove that if each of the subgroups H1, . . . ,Hm has finite asymptotic dimension, then asymptotic dimension of G is also finite.

Abstract We consider the propagation of stratified fluid through a contraction near resonance, for which the governing asymptotic equation is the forced KdV equation. Steady solutions of this equation are sought which have constant, but differing amplitudes upstream and downstream of the contraction, and for which leading order dispersive effects are retained. A numerical algorithm is outlined ...

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

In many iterative optimization methods, fixed-point theory enables the analysis of convergence rate via contraction factor associated with linear approximation operator. While this characterizes asymptotic convergence, it does not explain non-linear behavior these algorithms in non-asymptotic regime. letter, we take into account effect first-order error and present a closed-form bound on terms ...

We prove a limit theorem for the total Steiner k-distance of a random b-ary recursive tree with weighted edges. The total Steiner k-distance is the sum of all Steiner k-distances in a tree and it generalises the Wiener index. The limit theorem is obtained by using a limit theorem in the general setting of the contraction method. In order to use the contraction method we prove a recursion formul...