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The Golden Shofar
The goal of the present article is to develop the “continues” approach to the recurrent Fibonacci sequence. The main result of the article is new mathematical model of a curve-linear space based on aExpand
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On a new class of hyperbolic functions
This article presents the results of some new research on a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring Fibonacci andExpand
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The Golden Section , Fibonacci series , and new hyperbolic models of Nature А
Приведен обзор новых математических моделей Природы, основанных на золотом сечении и использовании гиперболических функций Фибоначчи и Люка и функции «Золотой Шофар». Также рассматриваются обобщенныеExpand
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Theory of Binet formulas for Fibonacci and Lucas p-numbers
Abstract Modern natural science requires the development of new mathematical apparatus. The generalized Fibonacci numbers or Fibonacci p-numbers (p = 0, 1, 2, 3, …), which appear in the “diagonalExpand
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The “golden” hyperbolic models of Universe
Abstract This article presents a review of new mathematical models of the hyperbolic space. These models are based on the golden section. In this article, the authors discuss the hyperbolic FibonacciExpand
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The continuous functions for the Fibonacci and Lucas p-numbers
The new continuous functions for the Fibonacci and Lucas p-numbers using Binet formulas are introduced. The article is of a fundamental interest for Fibonacci numbers theory and theoretical physics.
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The “golden” algebraic equations
Abstract The special case of the (p + 1)th degree algebraic equations of the kind xp+1 = xp + 1 (p = 1, 2, 3, …) is researched in the present article. For the case p = 1, the given equation isExpand
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Optimisation of the aggregation and execution rates for intersecting operation sets: an example of machining process design
TLDR
We consider the situation when the sets of operations for different blocks do not intersect and each potential block can be executed either completely aggregated (i.e. as one block) or completely disaggregated (individually). Expand
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Optimisation of processing conditions for multi-product batch production lines with series-parallel operations under uncertainty on demands for finished products
TLDR
The problem of optimization of throughput and manufacturing operation intensities for a number of time periods for a multi-product production/assembly line under random demand is considered. Expand
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Optimization of the Structure and Execution Modes of Intersecting Operation Sets
TLDR
A collection of intersecting packages of operations is executed successively and all operations of each current package are executed in parallel. Expand
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