4 research outputs found

    Multiple addition theorem for discrete and continuous nonlinear problems

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    The addition relation for the Riemann theta functions and for its limits, which lead to the appearance of exponential functions in soliton type equations is discussed. The presented form of addition property resolves itself to the factorization of N-tuple product of the shifted functions and it seems to be useful for analysis of soliton type continuous and discrete processes in the N+1 space-time. A close relation with the natural generalization of bi- and tri-linear operators into multiple linear operators concludes the paper.Comment: 9 page

    Cyberspace Warfare Attacks within Current Norms of Self-Defense

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    Molecule-Based Exchange-Coupled High-Spin Clusters: Conventional, High-Field/High-Frequency and Pulse-Based Electron Spin Resonance of Molecule-Based Magnetically Coupled Systems

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