A transcendental analysis of mathematics: The constructive nature of mathematics
... focuses on both the human method of cognition in general [CPR, B 25] and certain types of cognition aimed at justifying their objective significance. This article aims to explicate Kant’s understanding (resp. justification) of the abstract nature of mathematical knowledge (cognition) as the “construction of concepts in intuition” (see: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [CPR, A 713/В 741], which is “thoroughly grounded on definitions, ...
What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies
This review of contemporary discussions of Kantian philosophy of mathematics is timed for the publication of the essay Kant’s Philosophy of Mathematics. Volume 1: The Critical Philosophy and Its Roots (2020) edited by Carl Posy and Ofra Rechter. The main discussions and comments are based on the texts contained in ...
Portfolio optimization in the case of an exponential utility function and in the presence of an illiquid asset
... reduction is consistent with the boundary condition. This reduction represents a significant simplification of the original problem.
1. Bordag L. A. Geometrical properties of differential equations. Applications of Lie group analysis in Financial Mathematics. Singapore, 2015.
2. Bordag L. A., Yamshchikov I. P. Lie group analysis of nonlinear Black-Scholes models // Ehrhardt M., Günther M., ter Maten E. J. W. (eds.). Novel Methods in Computational Finance. Springer, 2017. P. 109—128.
3. Bordag ...
Numerical model operation of the mass transfer of the disperse phase of aerosol in nonlinear wave fields for axisymmetric quasithree-dimensional geometrical statement
The article describes numerical modelling of fluctuations of an aerosol column in pipes at resonant frequencies. The author suggests a mathematical model of dynamics of the heterogeneous medium-mix with approximately equal component mass fractions. The mathematical model suggests the solution of a dynamics equation system for each of the mix component. The carrier medium is a viscous,...
Examples of the mathematical model of the management company
The article discusses Two mathematical models of housing and utilities services organization as an example of a managing company are considered. The first model is based on balance equations of the organization. It takes into account and systematizes income and expenses of a managing ...
A look in the past and the problems of modern mathematical education
This article considers the features of mathematical education in Russia in the 18th-19th centuries. The focal point is the significance of children’s physical activity for the development of spatial perception and mathematical thinking. The author makes recommendations on the development ...
Possible applications of the resources of the Mathematica programming environment to solving mathematical problems
This article describes possible applications of the resources of the Mathematica programming environment (version 7.0.1.0) in teaching mathematics as a means of the automatic control of initial data input, input data generator, and a means to improve the visibility of mathematical problem solving. The author offers examples of Mathematica codes for each case and identifies the sequence ...
Analytic philosophy: a historico-critical survey
... Analytic Philosophy. N. Y., 1949.
13. Pap A. Analytische Erkenntnistheorie. Wien, 1955.
14. Quine W. V. O. Two Dogmas of Empiricism. Reprinted // Quine W. V. O. From a Logical Point of View. Cambridge (Mass.), 1953.
15. Ramsey F. P. The Foundations of Mathematics and Other Logical Essays. L., 1931.
16. Ramsey F. P. Notes on Philosophy, Probability and Mathematics / ed. by Galavotti M. C. Napoli, 1991.
17. Rescher N. The Coherence Theory of Truth. Oxford, 1973.
18. Rorty R. Philosophy and the Mirror ...
An analysis of mathematical models of the stress state of the outer shell of the roller one-way clutches
The outer shell is an important constructive element of roller one-way clutches. Currently, for the calculation of the stress state of the outer shell using the mathematical models obtained based on the essential assumptions. In the article the analysis is carried out and recommendations about use of design mathematical models are made. It is established that at change of number of wedging rollers in a range ...
The modelling of postmortem heat transfer and estimating the time of death
This article analyses different mathematical models of the process of postmortem heat transfer in an adult cadaver based on postmortem temperature dynamics. A model of heat transfer in a newborn cadaver presented as a finite cylinder is examined in detail. An important factor in constructing ...
The methodological and mathematical implementation of the integrated controlling theory
... to the innovative concept of managing modern industrial enterprises as economic systems, namely, integrated controlling. The author presents a methodological framework for the implementation of the integrated controlling theory. Possible uses of the mathematical apparatus in studying integrated controlling are shown. Static and dynamic characteristics of integrated controlling as a complex system are described. A mathematical model of such system is constructed.
1. Акимова И. В., Ермолаева ...
Mathematical modeling of a injury of a backbone
A plenty of proceedings of various disciplines fundamental and applied science is devoted to studying of vertebral damage. The special role in studying this pathology is played with methods of mathematical modelling since allow to predict development of adverse deformations of a backbone and to optimize methods of elimination of these damages. Using mathematical model three-vertebra a complex the algorithm of surgical treatment of typical spinal ...
Analysis of the application of mathematical modeling in geology
... of mathematical-statistical and model methods that periodically occur during the review of scientific geological journals were analyzed, and recommendations for their elimination were given. The problems of determining relative errors in simplified mathematical models are discussed. The necessity of calculating the parameters of the background value and excluding its influence on the calculation of the “useful signal” is shown. A graphical method for determining the minimum abnormal content ...
Development of a mathematical model for the process of rocket fuel bubbling with liquid nitrogen
To achieve an optimum temperature of rocket fuel, its negative temperature and the amount of its purification from impurities are necessary. For this purpose, a mathematical model of the temperature dependence inside the bubbler has been developed in this article.
Vybornov N. A., Protasevich M. N.
rocket, mathematical model, bubbler, temperature, rocket fuel, liquid nitrogen, transfer function
90-100
The closed piecewise uniform string revisited
.... P. 3224—3229.
5. Hadasz L., Lambiase G., Nesterenko V. V. Casimir energy of a nonuniform string // Phys. Rev. D. 2000. Vol. 62. 025011.
6. Brevik I., Bytsenko A. A., Sollie R. Thermodynamic properties of the 2N-piece relativistic string // J. of Mathematical Physics. 2003. Vol. 44 (3). P. 1044—1055.
7. Bayin S. Ећ., Krisch J. P., Oezcan M. The casimir energy of the twisted string loop: Uniform and two segment loops // J. of Mathematical Physics. 1996. Vol. 37 (8). P. 3662—3674.
8. Berntsen ...
Application of the mathematical modelling and simulation methods to the study of didactic systems
Didactic systems relate to poorly structured and poorly formalizable objects that function under conditions of uncertainty and lack of information about the state of the student, the teaching methods used, etc. The article considers the application of mathematical and computer modeling methods for the study of didactic systems and various approaches to the construction of mathematical and computer models of the student. The following models are discussed: linear and nonlinear learning models; multicomponent ...
The metaphysics of science
... of science necessitates addressing Kant’s theory of science when searching for a truly philosophical understanding of science, which can be only of metaphysical nature. The experience of building a system of transcendental metaphysics combined with mathematics and physics shows that philosophy of science is necessary for solving the most important problems of the humanity rather than analysing or synthesising scientific knowledge or development it. Philosophy of science proper should be based on ...
Simulation technique in the mathematical theory of learning
Further development of theoretical pedagogy and the theory of learning is closely connected to the use of mathematical and digital techniques in learning process simulations. This article explores formal methods for studying a didactic system as well as difficulties in employing them. The author describes key stages of simulation development and presents ...
Non-standard problems in competence-based mathematics teaching
The authors analyse various types of non-standard tasks, identifies their main characteristics related to the formation of cognitive competence in mathematical education. The article explores ways of solving heuristic, research, and creative problems. A comprehensive approach to the definition of the nonstandard task is proposed. The proposed structure of the problem is based on the following scheme: ...
An analysis of mathematical models of the deformation state of the outer shell of the roller one-way clutches
The outer shell is an important component influencing on the working capacity of roller one-way clutches. The analysis is carried out and recommendations about use of mathematical models for calculation of deformation of outer shell are made. It is established that at change of number of wedged rollers in a range from 3 to 7 there is a nonlinear decrease of value of a radial deformation, and in a range from 7 to 30 ...
Problems of modeling of the working processes of a stationary plasma engine
Today in creation of mathematical models of the stationary plasma thruster (SPT) a certain advance is noticeable, but all these models are based on empirical laws with a possibility of application to concrete type of the engine. The paper considers the possibility of constructing ...
About one training course of mathe-matical modeling
A program of the general course of mathematical modeling coordinated with modeling of transport flows is submitted.
1. Гасников А., Дорн Ю., Прохоров А., Швецов В. Как бороться с пробками? // Троицкий вариант. 2012. № ...
The role of individual work in the development of creative competency in bachelors of education (The case of the Basics of Mathematical Information Processing course )
... indi-vidual work of students (IWS) in the formation of creative competence and the requirements for its organization, contributing to the formation of creative competence are identified. The case of organizing individual work when studying the Basis of Mathematical Information Processing is examined.
1. Пичкова Л. С. Организация самостоятельной работы студентов как фактор формирования профессионально значимых ...
Mathematical model for feeling hope
A mathematical model, which determines composition and structure of human feelings was created. It was shown that each feeling can be shown in the shape of a wreath from sequentially arising emotions. The mathematical model for feeling hope was built and ...
Efficient algorithms for computing superelliptic curves
Represents basics algorithms of arithmetics superelliptic curves and optimal parameters superelliptic curve suitable for cryptography.
1.Koblitz N. Elliptic curve cryptosystems // Mathematics of Computation. 1987. № 48 (177). P. 203–209.
2. ANSI X9.63 Public Key Cryptography for the Financial Services Industry: El-liptic Curve Key Agreement and Key Transport Schemes. Working Draft - Ver-sion 2.0. 1998.
3. Galbraith S. D.,...
On the mathematical modeling of the space of mental images
This article stresses the need to use a mathematical model of the space of mental images in psychology, medicine, and other sciences. The author identifies the relation between such space and the space-time of physics. The article shows opportunities for structuring the space and introducing ...
The role of statistical and economic and mathematical modelling in applied research
The research problem of increasing the effectiveness of marketing activities and the management of business units and institutional structures serves as a framework for describing current trends in applied research on the basis of statistical and economic-mathematical (SEM) modeling. The authors explore the possibilities of using modern information technologies in applied economics and management studies, the prospects of economic agreement studies based on SEM modeling in STATISTICA ™ and MATLAB...
A mathematical simulation and a numerical investigation of dynamics of intramolecular tautomerny transformation without considering processes of a proton relaxation. Part I. A description of a mathematical model
... Балтийского федерального университета им. И. Канта. Вып. 10. С. 79—93.
7. Ландау Л. Д., Лифшиц Е. М. Квантовая механика. М., 1963.
Kvitko G., Kuzin E., Latyshev К., Shott D.
mathematical model, hydrogen binding, proton, Schrödinger equation, adiabatic model potentials, statistical operator, probability of tautomerny transformation.
94-101
The efficiency of applying electronic education technologies at the final stage of preparation for the Unified State Exam in mathematics
Through the case of general educational institutions of the Kaliningrad region, the authors consider the methods for increasing the level of students’ preparation for the Unified State Examination in mathematics through using the system of distance learning for training and monitoring the level of preparation. The authors describe the approach, which makes it possible not only to present the content and function of computer-assisted testing, but also ...
Mathematical modelling of filtration processes of moisture in heavy soils
A mathematical model of filtration of moisture in heavy soils. The transfer of a film of moisture on the surface took into account.
1. Hallaire M. Le potential efficace de l’eau dans le sol en regime de dessechement // L’eau et production vegetale....
Multiple-factor mathematical models of heterogeneous metasystems
Nonlinear mathematical modeling of physical processes in heterogeneous metasystems with bubble or a solid-state filler allows to receive the parities convenient for numerical calculations and comparison of theoretical results with the data of experiments. For creation ...
Mathematical simulation in road-building
Mathematical models for an estimation of quality of road-building materials are considered. The mathematical model of the modern asphalt-concrete factory with several asphalt-mixing installations is constructed. The technique of definition of reliability ...
On the dynamics of mathematical information forms in training of air navigation students on
This article deals with the role of mathematical information in teaching. The author emphasizes the need for the development of informational and activity mobility. The author offers an excerpt from students’ individual work triggering the activity component of informational mobility....
Optimization of Repeatability Injured Backbone with the Help of Rigid Laminas on the Basis of a Mathematical Model of a Three-Vertebra System
... высоких технологий в промышленности». СПб., 2008. С. 161.
10.
Sedov R., Orlov S., Bobarykin N.
Modeling of human’s three-vertebra system and optimisation of fixation constructions // The International Conference Mathematical modeling and computational physics.
Dubna, 2009.
Sedov R. L., Orlov S. V., Latishev K. S.
mathematical modelling, the ordinary differential equations, numerical methods, optimization, biomechanics.
42-48
10.5922/2223-2095-2009-10-2
Artificial Intelligence: a catalyst for entrepreneurship education in the Baltics
... and Machine Learning and Data Mining, which are designed to educate students in the field of artificial intelligence and its application in various fields, including entrepreneurship. The University of Latvia has a Department of Computer Science and Mathematics offering a master’s programme Computer Science, which includes the study of artificial intelligence and its application in various industries, including entrepreneurship.
The first virtual assistant Una will celebrate this year its 5th anniversary ...
On multiple semiotics integrally, aspectively and concretely
... (3) assessing and utilizing the meaning (initially functional significance, relevance) of the forms and modes of actuality. The latter ability is precisely the basis of semiotics and semiosis. The first two are metretics or organon for computational mathematics and statistics, as well as morphetics or organon for a wide variety of morphologies, comparative studies, discrete mathematics, topology, etc.
Avdonin, V. S., 2015. Methods in the "vertical" dimension (metatheory and metalanguages-organons)....
Application of spatial analysis of morbidity and mortality from COVID-19 (the case of the Pskov region)
Apart from biomedical and organizational issues, the emergence of the new coronavirus COVID-19 (SARS-CoV-2) pandemic, set large-scale tasks for creating and improving mathematical and information technologies that operate spatial data in statistical analysis and forecasting. The regional level is seen as a suitable choice for spatial analysis of COVID-19 morbidity and mortality due to the availability of statistics,...
Semyon Frank and the German Neo-Kantianism: Aspects of Debate
... nineteenth and early twentieth centuries: German Neo-Kantianism and Vladimir Solovyov’s school of all-unity. Second, Frank himself and the German Neo-Kantians considered Nicholas of Cusa to be one of their forerunners and pointed out the importance of his mathematical ideas for their mathematical studies. Thirdly and lastly, Frank paid particular attention, especially in his formative period as a philosopher, to the leading trend in the early twentieth century, namely German Neo-Kantianism, which led some ...
Who is the one who uses the human language? On Alexsander Kravchenko's article "Language and the Nature of Humanity")
....
Tsikly deyatel'nosti i ideal'nye ob"ekty
[Cycles of activity and ideal objects]. Moscow (in Russ.).
Krenke, N. P., 1933—1935.
Fenogeneticheskaya izmenchivost'
[Phenogenetic variability]. Vol. 1. Moscow (in Russ.).
Kudrin, B. I., 2002. Mathematics of cenoses: specific, rank-specific, rank-by-parameter hyperbolic H-distributions and the laws of Lotka, Zipf, Pareto, Mandelbrot.
Filosofskie osnovaniya tekhnetiki. Matematicheskii apparat strukturnogo opisaniya tsenozov i giperbolicheskie ...
Mathematical modeling of the process of attracting customers for paid SAAS solutions
... the advertising company and allowed us to evaluate its effectiveness. As a result, the process of attracting customers was adjusted, and its effectiveness was increased.
Bilyk K. B., Tkachenko S. N., Bodnya A. V.
CRM system, SaaS solution, mathematical model, linear models
21-26
Determination of suitability of network intrusion detection rules and their mathematical evaluation
... parameters of damaged packets is investigated. To assess the suitability of the rules for detecting network attacks and their subsequent control, a method for upgrading the component composition of intrusion detection systems has been redesigned. A method of mathematical evaluation of the suitability of the rules for detecting network attacks is considered.
Podtopelny V. V., Vetrov I. A.
risk, information system, network attack, network intrusion, module
11-18
Intellectualization of operational and technological control of regional electric power by cognitive hybrid intelligent systems. Part 1
... cognitive hybrid intelligent systems. Namely, results of the study of the operational and technological control system of the regional electric power system, results of the categorization of the ontological semantics of the objective reality and the mathematical reality of the object of technology operations activities.
Kolesnikov A.V., Rumovskaya S.B., Yasinsky E.V., Soldatov S.A.
intelligent power system, operational and technological control system, ontological semantics of a control object,...
Ways to optimize the characteristics of active synthesizers frequency
... product development for the aviation industry. The current research was based on the systemic analysis and the theory of statistical estimation. This work primarily deals with theoretical methods of research which were used to identify approaches to the mathematical description of atmospheric phenomena models of wind shear, turbulence. The author also analyses relevant the optimal methodology (Russian and foreign papers) for developing software products which takes into account the authors own experience ...
Events as a semantic framework for the construction of reality: the prospects of a transition to a dynamic ontology
... management, and destruction or reality. We demonstrate the need for a constructive model of a special event—a model taking into account the temporal factor in the development of reality. The second problem concerns the development of theoretical (mathematical) tools to describe such dynamics. In this connection, we identify the mathematical semantics of event processes. To build the necessary model, we use the methods of maxima/ minima and infinitesimal calculus and carry out an analysis of the ...
Analytic Philosophy: a Historico-Critical Survey
... Wien : Julius Springer, 1955.
14. Quine, 1953: Quine W. V. O. Two Dogmas of Empiricism. Reprinted in: Quine W. V. O. From a Logical Point of View. Cambridge (Mass.) : Harvard University Press, 1953.
15. Ramsey,1931: Ramsey F. P. The Foundations of Mathematics and Other Logical Essays. L. : Kegal Paul, Trench, Trübner & Co., 1931.
16. Ramsey, 1991: Ramsey F. P. Notes on Philosophy, Probability and Mathematics / ed. by M. C. Galavotti. Napoli : Biopolis, 1991.
17. Rescher, 1973: Rescher N. The ...