Titlebook: Contributions in Mathematics and Engineering; In Honor of Constant Panos M. Pardalos,Themistocles M. Rassias Book 2016 Springer Internation

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A Characterization Theorem for the Best ,, Piecewise Monotonic Data Approximation Problem,st each one separately. We provide a theorem that decomposes the problem into the best .. monotonic approximation (case .?=?1) problems to disjoint sets of adjacent data. The decomposition allows the development of a dynamic programming procedure that provides a highly efficient calculation of the solution.

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Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders, theoretical estimation 5.?18. The next-order (constant) term in the high-concentration regime is calculated for the first time, and the best estimate is equal to ? 6.?229. The final formula is derived for the effective conductivity for arbitrary volume fraction.

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The Ubiquitous Lambert Function and its Classes in Sciences and Engineering, can be found in the original research works. Our hope is that our work will be useful to other researchers working in similar problems serving as a guideline for uncovering a solution to their research problem that possibly involves the Lambert-W function or it extensions.

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Book 2016ophy of mathematics, and mathematics education.?Somereview papers published in this volume will be particularly useful for abroader audience of readers as well as for graduate students who search for thelatest information.? ? ?.ConstantinCarathéodory’s wide-ranging influence in the international mat

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