In this note, we exhibit a method to prove the Baum-Connes conjecture (with coefficients) for extensions with finite quotients of certain groups which already satisfy the Baum-Connes conjecture. Interesting examples to which this method applies are torsion-free finite extensions of the pure braid groups, e.g. the full braid groups. The Baum-Connes conjecture (in this note the term will always m...

Suppose that K and L are simplicial complexes. Recall that a vertex map between these complexes is a function φ : V ert(K) → V ert(L) such that the vertices of a simplex in K map to the vertices of a simplex in L. Given such a φ, we can create a simplicial map f : |K| → |L| by linearly extending φ over each simplex. On the other hand, suppose we have an arbitrary continuous map g : |K| → |L|. T...

Abstract On the basis of the tight-binding model, we have studied the energy spectra and persistent currents (PCs) in one-dimensional k-component Fibonacci (KCF) mesoscopic rings threaded by a magnetic flux. The KCF structures, which contain k basic units, can be periodic (if k = 1), quasiperiodic (if 1 < k < 6), and intermediate cases between quasiperiodicity and disorder (if k 6). It is shown...

We study zero-one laws for random graphs. We focus on the following question that was asked by many: Given a graph property P , is there a language of graphs able to express P while obeying the zeroone law? Our results show that on the one hand there is a (regular) language able to express connectivity and k-colorability for any constant k and still obey the zero-one law. On the other hand we s...

We report a case of a hand replantation. A 43-year-old male presented with an amputated right hand. After clinical and radiological examination of the amputated hand and the forearm stump, the patient was consented for hand replantation procedure. Both bones of the forearm were fixed using K-wires. Careful dissection, trimming and repair of the tendons, vessels (two arteries and one vein) and n...

In various applications, data in multi-dimensional space are normalized to unit length. This paper considers the problem of best fitting given points on the m-dimensional unit sphere S by k-dimensional great circles with k much less than m. The task is cast as an algebraically constrained low-rank matrix approximation problem. Using the fidelity of the low-rank approximation to the original dat...

so ‖f‖p ≤ ‖f‖q · μ(X) 1 p − 1 q . Hence if f is in Lq, the left-hand side is finite hence so is the right-hand side, so f is in Lp. Also, the inequality shows that if ‖f‖p is small then ‖f‖q is also small, hence the inclusion Lq ↪→ Lp is continuous 2. Let X ⊂ Pn be an irreducible projective variety of dimension k, G(`, n) the Grassmannian of `-planes in Pn for some ` < n− k, and C(X) ⊂ G(`, n) ...

Many enterprises are on the path towards the automation of their business processes. To be fully efficient this kind of automation needs to rely on rich models of business processes. This paper presents an ontology, named K-CRIO, that allows the description of a specific kind of business processes: those that are dedicated to the design of a product. This ontology draws from organizational theo...