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Since the launch, in 1965, of the key notion of a fuzzy subset by Lotfi A. Zadeh, this concept has succeeded in growing interest and development. Nowadays, it is undoubtedly one of the most powerful and appealing branches of mathematics. Its range of applications is wide and multidisciplinary, starting from computer sciences and artificial intelligence, but also touching on a vast set of scientific disciplines (physics, engineering, medicine, economics, social choice, etc.). The present Special Issue is devoted to introducing new trends on this theory, from an interdisciplinary point of view, and looking for a wide coverage of topics related to fuzzy set and systems.

Approximation algorithms.

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Since the launch, in 1965, of the key notion of a fuzzy subset by Lotfi A. Zadeh, this concept has succeeded in growing interest and development. Nowadays, it is undoubtedly one of the most powerful and appealing branches of mathematics. Its range of applications is wide and multidisciplinary, starting from computer sciences and artificial intelligence, but also touching on a vast set of scientific disciplines (physics, engineering, medicine, economics, social choice, etc.). The present Special Issue is devoted to introducing new trends on this theory, from an interdisciplinary point of view, and looking for a wide coverage of topics related to fuzzy set and systems.

Approximation algorithms.

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Die Verbrennungsluft der untersuchten Gasfilmdüse wird auf zwei Teilströme aufgeteilt, wobei der äußere Luftstrom den inneren konzentrisch umschließt. Daher steht als zusätzlicher Freiheitsgrad die gleich- oder gegensinnige Verdrallung der Einzelströme zur Verfügung.Die durchgeführten Experimente ergeben eine signifikante Erweiterung des Betriebsbereiches der Düse bei gegensinniger Verdrallung. Dies ist neben konvektivem Brennstoffttransport durch einen zusätzlichen Mündungswirbel maßgeblich auf die stabilere radiale Strömungsschichtung zurückzuführen.

Approximation algorithms. --- Combustion deposits in engines. --- Turbulent diffusion (Meteorology)

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Die Verbrennungsluft der untersuchten Gasfilmdüse wird auf zwei Teilströme aufgeteilt, wobei der äußere Luftstrom den inneren konzentrisch umschließt. Daher steht als zusätzlicher Freiheitsgrad die gleich- oder gegensinnige Verdrallung der Einzelströme zur Verfügung.Die durchgeführten Experimente ergeben eine signifikante Erweiterung des Betriebsbereiches der Düse bei gegensinniger Verdrallung. Dies ist neben konvektivem Brennstoffttransport durch einen zusätzlichen Mündungswirbel maßgeblich auf die stabilere radiale Strömungsschichtung zurückzuführen.

Approximation algorithms. --- Combustion deposits in engines. --- Turbulent diffusion (Meteorology)

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Defining and computing a greatest common divisor of two polynomials with inexact coefficients is a classical problem in symbolic-numeric computation. The first part of this book reviews the main results that have been proposed so far in the literature. As usual with polynomial computations, the polynomial GCD problem can be expressed in matrix form: the second part of the book focuses on this point of view and analyses the structure of the relevant matrices, such as Toeplitz, Toepliz-block and displacement structures. New algorithms for the computation of approximate polynomial GCD are presented, along with extensive numerical tests. The use of matrix structure allows, in particular, to lower the asymptotic computational cost from cubic to quadratic order with respect to polynomial degree. .

Algebra. --- Divisor theory. --- Mathematics. --- Polynomials. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Approximation algorithms. --- Heuristic algorithms --- Mathematical analysis