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Abstract

The aim of the paper is to highlight St. Anselm’s way of thinking about nature and order in the world created by God. God for Anselm is the highest nature, one which exists most fully; He possesses the fullness of being, because His essence is identical to His existence. He is the cause of all existing things and does not have a cause Himself, for He exists per se. The order of nature may be observed in two ways: when departing from the diversity of existing beings and when considering these beings before their creation, existing in the divine intellect as ideas and models, after which God called into existence particular objects.

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Authors and Affiliations

Monika Malmon
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Abstract

The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved.

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Authors and Affiliations

Zumrud R. Safarova
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Abstract

In this paper, we consider an optimal control problem in which a dynamical system is controlled by a nonlinear Caputo fractional state equation. First we get the linearized maximum principle. Further, the concept of a quasi-singular control is introduced and, on this basis, an analogue of the Legendre-Clebsch conditions is obtained. When the analogue of Legendre- Clebsch condition degenerates, a necessary high-order optimality condition is derived. An illustrative example is considered.
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Authors and Affiliations

Shakir Sh. Yusubov
1
Elimhan N. MahmudoV
2 3
ORCID: ORCID

  1. Department of Mechanics and Mathematics, Baku State University, Baku, Azerbaijan
  2. Department of Mathematics, Istanbul Technical University, Istanbul, Turkey
  3. Azerbaijan National Aviation Academy, Baku, Azerbaijan
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Abstract

Heat exhaustion of mining environments can cause a significant threat to human health. The existing cooling strategies for the mine face aim to cool the whole face. However, the necessary cooling space for the face is small, with a considerable amount of energy for cooling being wasted. Necessary cooling space is a space occupied by the workers in the face. This study proposed to build a non-homogeneous thermal environment for cost-effective energy savings in the face. An inlet air cooler was laid out in the intake airway to cool the whole face to some extent, and the tracking air cooler was designed to track the worker who constantly moved to improve the thermal environment. The cooling load and air distribution for this cooling strategy were investigated. In addition, the airflow in the face was solved numerically to estimate the cooling effect. The results revealed that an average energy saving of approximately 35% could be achieved. The thermal environment of the necessary cooling space within at least 10 m was significantly improved. This cooling strategy should be taken into account in mine cooling.
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Bibliography

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Authors and Affiliations

Xian Li
1
ORCID: ORCID
Yaru Wu
1
ORCID: ORCID
Yunfei Zhang
2
ORCID: ORCID

  1. Linyi University, School of Civil Engineering and Architecture, Linyi 276000, P.R. China
  2. Hohai University, College of Civil and Transportation Engineering, Nanjing 210098, P.R. China
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Abstract

For Peter F. Strawson, transcendental arguments were an important part of his philosophical method, referred to as a connective analysis. Both Strawson and his critical commentators have devoted a lot of effort to determining the nature, scope and purpose of those arguments. In this text, I intend, first of all, to reconstruct and characterize the basic elements of transcendental argumentation, specifying its general form, features and purpose. Secondly, I reconstruct some of the most representative examples of this argumentation. Thirdly, I refer to the basic objections against transcendental arguments formulated in the literature. Finally, I point to a few peculiarities in those arguments, commonly omitted by commentators and interpreters. The overall message of the paper is moderately positive: transcendental arguments are a legitimate way of reasoning in philosophy, and in particular, they constitute a comprehensible and well-founded part of Strawson’s connective analysis.

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Authors and Affiliations

Mariusz Grygianiec
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Abstract

The paper concerns a strength optimization of continuous beams with variable cross-section. The continuous beams are subjected to a dead weight and a useful load, the six (seven) combinations of loads were analyzed. Optimal design problems in structural mechanics can by mathematically formulated as optimal control tasks. To solve the above formulated optimization problems, the minimum principle was applied. The paper is an introductory and survey paper of the treatment of realistically modelled optimal control problems from application in the structural mechanics. Especially those problems are considered, which include different types of constraints. The optimization problem is reduced to the solution of multipoint boundary value problems (MPBVP) composed of differential equations. Dimension of MPBVP is usually a large number, what produces numerical difficulties. Optimal control theory does not give much information about the control structure. The correctness of the assumed control structure can be checked after obtaining the solution of the boundary problem.

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Authors and Affiliations

Leszek Mikulski
ORCID: ORCID

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