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  • Принято считать, что понятие о золотом сечении ввел в научный обиход Пифагор, древнегреческий философ и математик (VI в. до н.э.). Есть предположение, что Пифагор свое знание золотого сечения позаимствовал у египтян и вавилонян. Золотая пропорция.

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  • Изложение универсального метода построения трёхмерных проекций гиперкубов любых n-мерных измерений (3ПГК-n) любых проекций и ракурсов. Алгебраические формулы для определения количества единичных геометрических элементов n-мерных гиперкубов, их проекций.

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  • Основные понятия геометрии фракталов. Фрактал – множество, обладающее свойством самоподобия, история происхождения. Графическая интерпретация множества Мандельброта. Алгоритм построения пейзажа с помощью фрактала. Определение фрактальной размеренности.

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  • История развития квадратных уравнений. Эволюция подходов к решению Древнего Вавилона, Диофанта, Индии, ал-Хорезми, Европы в 13-17 веках. Краткая характеристика теоремы Виета. Особенности применения различных способов решения квадратных уравнений.

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  • Квадратные уравнения в Древнем Вавилоне, Индии и Европе, история их возникновения и развития. Структура и содержание теоремы Виета, принципы и направления ее практического применения. Способы решения квадратных уравнений, их содержание и принципы.

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  • The paper attempts to state and prove a completeness theorem for the system S5 of supplemented by first-order quantifiers and the sign of equality. The basic modal language. A general strategy for proving completeness theorems for quantified modal logics.

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  • Consideration of the Shannon's mathematical theory of communication as the technology processing of information. Problems associated with the transmission of messages: eliminate redundancy, perform coding and messaging communication channels with noise.

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  • The article describes the main additional constructions used in planimetry. And also examples of tasks for a basic and advanced course of the geometry of 7-9 classes are considered for solving where the method of additional construction is used.

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  • The Graphical Modeling and Bayesian Networks. Some Properties of Incomplete Repair and Maintenance Models. The Theoretical Advances in Modeling, Inference and Computation. Network Reliability Evaluation with Propositional Directed Acyclic Graphs.

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  • Further, we found sufficient conditions on linear Volterra integro-differential equations of the third kind to be correct in analytical functions which generalize the well-known fact of correctness of a Volterra integral equation of the second kind.

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  • The study of the problem of how remains unchanged if the expected value according to probability distribution determined by minimizing the deviations among the fixed N values of a factor object. The set of all optimal strategies of the second player.

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  • Studying of the enumerative geometry of orbits of multidimensional toric action on projective algebraic varieties. Develop a new cyclic diferential-graded operad, conjecturally governing the real version of the enumerative geometry of these toric orbits.

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  • The emergence of noncommutative geometry, its relationship with the corresponding selected algebra function. The establishment of the anti-equivalence between the category of spaces and the corresponding category of algebras of functions on such spaces.

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  • The definitions which characterize a problem of parameters of DL-based assumptions related to discrete logarithms and impact of granularity of them. Difficulties of the generic model that identify the parameters relevant to cryptographic assumptions.

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  • Obtaining a criterion of boundedness of L-index in direction for functions f(hz;mi). Finding sufficient conditions of boundedness L-index in direction for some class of entire functions with "plane" zeros. Proving existence theorems of entire function.

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  • Absolute value of a complex number, and conjugate complex number. Integral powers and roots of complex numbers. Taylor’s and Laurent’s theorems. Evaluation of integral of meromorphic function. Fundamental elementary functions of complex variables.

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