In the S-category P (with compact-open strong shape mappings, cf. §1, instead of continuous mappings, and arbitrary finite-dimensional separable metrizable spaces instead of finite polyhedra) there exists according to [1], [2] an S-duality. The S-dual DX, X = (X,n) ∈ P, turns out to be of the same weak homotopy type as an appropriately defined functional dual (S0)X (Corollary 4.9). Sometimes th...

Recently it has been argued that, because tachyonic matter satisfies the Strong Energy Condition [SEC], there is little hope of avoiding the singularities which plague S-Brane spacetimes. Meanwhile, however, Townsend and Wohlfarth have suggested an ingenious way of circumventing the SEC in such situations, and other suggestions for actually violating it in the S-Brane context have recently been...

In a recent paper, Lee and Moharrami [13] construct a family of metrics (Xn, dn) with |Xn| = N , such that (Xn, √ dn) embeds into L2 with constant distortion, but embedding (Xn, dn) into a metric of negative type requires distortion Ω̃(log 1N). In this paper, we build on their analysis, and improve their result by showing an Ω̃(log 1N) lower bound for embedding (Xn, dn) into a metric of negative ...

We study the global analysis for parton distributions as a function of the QCD strong coupling strength α s , and present a new series of distributions that span the range 0.110 < α s (m Z) < 0.128. We use these distributions to explore the correlation between α s and the gluon distribution; the viability of global analysis as a method to measure α s ; and the dependence on α s of predictions f...

In this paper I show that the coolest σOrionis cluster planet S Ori 70 is still a strong candidate member despite recent claims by Burgasser et al. that it could be a brown dwarf interloper. The main point of my argument is that the colors of S Ori 70 are significantly different to those of field dwarfs. This object has in fact the reddest H − K color of all known T dwarfs, a clear indication o...

S-boxes play an important role in ensuring the resistance of block ciphers against cryptanalysis as often they are their only nonlinear components. The cryptographic properties of S-boxes and a variety of constructions have been studied extensively over the past years. Techniques for S-box generation include algebraic constructions, pseudo-random generation and heuristic approaches. The family ...

begin{abstract} in this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable banach space. end{abstract}