Titlebook: A Mathematical Approach to Research Problems of Science and Technology; Theoretical Basis an Ryuei Nishii,Shin-ichiro Ei,Tomoyuki Shirai Bo

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https://doi.org/10.1007/978-1-137-06963-4 state-of-the-art in the area of code-based PKE. Then, we describe the McEliece PKE, two major attacks against this scheme and the proposed parameters. Finally, we survey recent results on the variants of this PKE which are proven to be indistinguishable under chosen plaintext and chosen ciphertext attacks.

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Epicureanism and the Enlightenmentther concept that is closely related to the stability for CMC surfaces is the so-called bifurcation. We give sufficient conditions on a one-parameter family of CMC surfaces so that there exists a bifurcation. Moreover, we give a criterion for CMC surfaces in the bifurcation branch to be stable.

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https://doi.org/10.1007/978-1-4039-0727-1e equation in the context of potential theory, and then show successful applications of variational methods to these boundary value problems. Finally, we study a free boundary problem by developing the idea to a minimization problem with a constraint.

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Book 2014ey encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms..One of the unique features of this book is that it shows

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Book 2014in industry as well as practical applications..The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences..

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America and Enlightenment Constitutionalismm or the Lax pair of the mKdV equation. Based on this formulation, we present two discrete models of isoperimetric deformation of plane curves preserving underlying integrable structure: the discrete deformation described by the discrete mKdV equation and the continuous deformation described by the semi-discrete mKdV equation.

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