Abstract Our aim is to make a step toward clarification of foundations for the notion entanglement (both physical and mathematical) by representing it in conditional probability framework. In Schrödinger’s words, this knowledge which can be extracted via measurements. particular, quantum probabilities are interpreted as ones (as, e.g., Ballentine). We restrict considerations perfect correlation...

Abstract The Part-Of-Speech tagging is widely used in the natural language process. There are many statistical approaches this area. most popular one Hidden Markov Model. In paper, an alternative approach, linear-chain Conditional Random Fields, introduced. Fields a factor graph approach that can naturally incorporate arbitrary, non-independent features of input without conditional independence...

We study price competition in the presence of search costs and product differentiation. The limit cases of the model are the ‘‘Bertrand Paradox,’’ the ‘‘Diamond Paradox,’’ and Chamberlinian monopolistic competition. Market prices rise with search costs and decrease with the number of firms. Prices may initially fall with the degree of product differentiation because more diversity leads to more...

Single crystals and polycrystalline diamond films of several thicknesses were deposited using oxygen/acetylene combustion flame technique. The substrate used was pure polycrystalline molybdenum subjected to mechanical polishing. Quality and microstructural characteristic of diamond produced were investigated using X-Ray diffraction, Raman Spectroscopy, Scanning and Transmission Electron Microsc...

Let (Ω,F , μ) be a probability space and let T = P1P2 · · ·Pd be a finite product of conditional expectations with respect to the sub σ-algebras F1,F2, . . . ,Fd. Since conditional expectations are contractions of all Lp(μ) spaces, p ∈ [1,∞], so is T . When d = 2, Burkholder and Chow [2] proved that for every f ∈ L2(μ) the iterates T f converge a.s. (and thus also in L2-norm) to the conditional...