Titlebook: Discrete Mathematics and Applications; Andrei M. Raigorodskii,Michael Th. Rassias Book 2020 Springer Nature Switzerland AG 2020 methods of

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Exponential Variational Integrators Using Constant or Adaptive Time Step,l integrators, applicable in finite dimensional mechanical systems. Since these integrators are based on the space and time discretization, we start with a brief summary of the general development of the discrete mechanics and its application in describing mechanical systems with space-time integrat

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,A New Embedding of the 3, + 1 Dynamical system,his graph is problematic as there is no evident structure that can be exploited. We embed this graph and its shifted copies in a new fully binary tree and extend . to a new map . that all its trajectories converge to a single equilibrium. The new graph resembles that of a shift map yet whole Collatz

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The Dynamics of Interbank Networks,tcy set .. for each . ∈ . is defined. The set .. contains all possible combinations of institutions whose failure would result in the default of the bank .. It turns out that the minimal elements of the sets .., . ∈ . play a prominent role in the study of the problem of default contagion in an inter

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New Construction Machines of Generating Fuzzy Implications,implications and fuzzy negation as well and increasing function. Through these new formulas, we study the natural propagation of basic properties of given fuzzy implications from the initial ones to the constructed implications. Desirable properties as the left boundary condition (LB), right boundar

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Andrei M. Raigorodskii,Michael Th. RassiasUnifies interdisciplinary applications, problems, and approaches.Highlights advances in discrete mathematics with real world applications.Contains contributions from leading experts

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