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for all x, y Î X, where : R+ ® R+ is a nondecreasing function such that lim n→∞ φ n(t) = 0 for all t > 0. In 1994, Matthews [4] introduced the notion of a partial metric space and obtained a generalization of Banach’s fixed point theorem for partial metric spaces. Recently, Altun et al. [5] (see also Altun and Sadarangani [6]) gave some generalized versions of the fixed point theorem of Matthew...

The main differences between symbolic and morphic formal systems: Instead of the Kleene star for the symbolic universes, morphic universes are generated by the Stirling cross. Symbolic substitution and concatenation is preserving production concatenation. Morphic substitution/concatenation is opening up a system of interactive complexions of derivations. Comparison of substitution based product...

Abstract: This paper investigates correct variable selection in finite samples via l1 and l1+l2 type penalization schemes. The asymptotic consistency of variable selection immediately follows from this analysis. We focus on logistic and linear regression models. The following questions are central to our paper: given a level of confidence 1 − δ, under which assumptions on the design matrix, for...

The effective theory of an open boson or fermion system is studied, which evolves out of equilibrium with a time-dependent Hamiltonian Ĥ(t). A measure of nonequilibrium temperature for the open system evolving from an equilibrium is proposed as the time-averaged energy expectation value T (t) = Ti(〈Ĥ(t)〉Ψ/〈Î(t)〉Ψ), where Î(t), the action operator, satisfies the quantum Liouville-von Neumann equ...

We show from one-loop quantum gravity and statistical thermodynamics that the thermodynamics of quantum foam in flat space-time and Schwarzschild space-time is exactly the same as that of Hawking-Unruh radiation in thermal equilibrium. This means we show unambiguously that Hawking-Unruh thermal radiation should contain thermal gravitons or the contribution of quantum space-time foam. As a by-pr...

The progressively improved sensing sensitivity (Î?λSPR/Î?n, nm/RIU) to detect the refractive index is observed on SPR platform of an Au-covered epoxy gratings in increase potential cycling a typical three-electrode cell. Here, DVD-R optical disc was used as structure template prepare gratings, and newly formed reverse track pitch substrate working electrode directly aqueous sulfuric acid solut...