Abstract Let $${{\mathcal {S}}}{{\mathcal {S}}}$$ S and {C}}}$$ C be the strictly singular cosingular operators acting between Banach spaces, let $$P\Phi _+$$ P Φ + perturbation classes for upper ...

We explicitly construct an uncountable class of infinite aperiodic plane graphs which have equal, and explicitly computable, bond percolation thresholds. Furthermore for both bond percolation and the random-cluster model all large scale properties, such as the values of the percolation threshold and the critical exponents, of the graphs are equal. This equivalence holds for all values of p and ...

we define a new type of spectrum, called δ-approximate spectrum, of an element a in a complex unital banach algebra a and show that the δ-approximate spectrum σ_δ (a) of a is compact. the relation between the δ-approximate spectrum and the usual spectrum is investigated. also an analogue of the classical gleason-kahane-zelazko theorem is established: for each ε>0, there is δ>0 such that if ϕ is...

We present a proof that the number of breakpoints in the arrival function between two terminals in graphs of treewidth $w$ is $n^{O(\log^2 w)}$ when the edge arrival functions are piecewise linear. This is an improvement on the bound of $n^{\Theta(\log n)}$ by Foschini, Hershberger, and Suri for graphs without any bound on treewidth. We provide an algorithm for calculating this arrival function...

background: noninvasive techniques for the localization of the accessory pathways (aps) might help guide mapping procedures and ablation techniques. we sought to examine the diagnostic accuracy of strain imaging for the localization of the aps in wolff-parkinson-white syndrome. methods: w e prospectively studied 25 patients (mean age = 32 ± 17 years, 58.3% men) with evidence of pre-excitation o...

This paper seeks to examine the relationship between education demand and entrepreneurs in the process of enhancing the growth of human capital in China. We develop a theoretical model that incorporates the important roles played by human capital, education and entrepreneurs. Then, we derive an immigration condition under which the demand for education depends on the existence of entrepreneurs....

v. dannon showed that spherical curves in e4 can be given by frenet-like equations, and he thengave an integral characterization for spherical curves in e4 . in this paper, lorentzian spherical timelike andspacelike curves in the space time 41 r are shown to be given by frenet-like equations of timelike andspacelike curves in the euclidean space e3 and the minkowski 3-space 31 r . thus, finding...