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The effect of disorder on the superconducting transition temperature is studied. The tight-binding description of the electron-ion interactions is used to describe disordered strong coupling superconductors. Numerical calculation of Tc vs resistivity ϱ in three dimensional high-temperature superconductors compare quite well with experimental data.
We present a survey of the main improvements obtained by scrambling and symmertrizing van der Corput sequences in any base. •- Exact formulae for extreme and mean-square discrepancy and for diaphony in one dimension.•- Asymptotic behaviour, leading to the best constants currently known.An incursion in higher dimensions is given at the end.
We obtain convenient expressions and/or efficient algorithms for the permanent of Cheap Nike Free Run Shoes certain very sparse (0, 1) Toeplitz matrices. The classes of matrices considered here include some nontrivial examples of circulants to which none of the previous approaches could be successfully applied.