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Application of the optical theorem to the analysis of lasing thresholds in microlasers with ring-like active regions of the optical theorem.

Smarandache theorem in hyperbolic geometryIn the paper a hyperbolic version of the Smarandache pedal polygon theorem is considered. © A

Hadamard's theorem for mappings with relaxed smoothness conditions homeomorphism. As an application, the Hadamard theorem for differentiable mappings and conditions

On the Borsuk-Ulam Theorem for Lipschitz Mappings on an Infinite-Dimensional Space Lipschitz mapping. A kind of analogue of the infinite-dimensional version of the Borsuk-Ulam theorem

Necessary conditions for an extremum and an inverse function theorem without a priori normality assumptions results, a variant of the inverse function theorem, at such points, is obtained.

Main theorems of strong shape theory of compact hausdorff spacesHurewicz and Whitehead theorems in strong shape theory for strong homotopy and strong homology

ON ONE THEOREM FOR S-OPERATION are interesting both as sci-entific theorems and teaching examples.

Kinetic models of integration-fragmentation in the Becker-D¨oring case: derivation of equations, the H-theorem and the H-theorem for them.

ЭЛЕМЕНТЫ ИСТОРИИ МАТЕМАТИКИ НА УРОКАХ ГЕОМЕТРИИThe article provides examples of solving problems using well-known theorems of the antiquity

Расчет электростатического поля ограничителей перенапряжения методом теорем сложения limiter is considered. The calculation is implemented by addition theorems method. The algebraic

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