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Tropical Mathematics and Applications to Theoretical Physics and Scientific Computing

A New Approach of Non-Linear Problems

Alexandre Gondran, Michel Gondran, Abdel O. Kenoufi, et al.

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De Gruyter img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

Tropical Mathematics built on Idempotent Semi-Rings and Dioids permits an extension of the usual Linear methods to Non-Linear problems and provides powerful analyzing and computing in Theoretical Physics and Applied Mathematics. Until recently, solutions in mathematics and physics were organized around algebraic structures such as groups, rings, and fields. These techniques are not well-suited to modeling and solving non-linear problems.

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Schlagwörter

Mathematik, linear problems, Non linear problems, Theoretische Physik, Nichtlineare Probleme, theoretical physics, Idempotent mathematics and scientific computing, Wissenschaftliches Rechnen