What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies
... Transcendental Science. In: T. M. Seebohm, D. Føllesdal and J. Mohanty, ed. 1991. Phenomenology and the Formal Sciences. Dordrecht, Boston: Kluwer, pp. 107-132.
Posy, C. J., 2019. The infinite, the indefinite and the critical turn: Kant via Kripke models. Inquiry. [online] doi: 10.1080/0020174X.2019.1651095. Available at:
[Accessed 03 January 2021].
Posy, C. J., 2020. Of Griﬃns and Horses: Mathematics, Metaphysics, and Kant’s Critical Turn. In: C. J. Posy and O. Rechter, ed. 2020. Kant’s Philosophy of Mathematics; Volume I: The Critical Philosophy and Its Roots. Cambridge: Cambridge University Press, pp. 35-65.
Posy, C. J. and Rechter ...
A transcendental analysis of mathematics: The constructive nature of mathematics
... matematicheskogo znanija [On the question of a priori mathematical knowledge]. In: Matematika i opyt [Mathematics and Experience]. M. : MGU, s. 545—574.
11. Katrechko, S. L. 2007, Modelirovanie rassuj`deniiy v matematike: transcendental'nyiy podhod [Modeling reasoning in mathematics: transcendental approach]. In: Modeli rassuj` deniiy — 1 : Logika i argumentacija. Kaliningrad : Izd. RGU im. I. Kanta, 2007. s. 63—90.
12. Katrechko, S. L. 2008, Transcendental'naja filosofija matematiki [Transcendental philosophy of ...
A transcendental analysis of mathematics: The abstract nature of mathematical knowledge
... apriornosti matematicheskogo znanija [On the question of a priori mathematical knowledge]. In: Matematika i opyt [Mathematics and Experience], Moscow, s. 545—574.9. Katrechko, S. L. 2007, Modelirovanie rassuj`deniiy v matematike: transcendental'nyiy podhod [Modeling reasoning in mathematics: transcendental approach]. In: Modeli rassuj`deniiy — 1: Logika i argumentacija. Kaliningrad, 2007. s. 63—90.10. Katrechko, S. L. 2008, Transcendental'naja filosofija matematiki [Transcendental philosophy of mathematics]. In: Vestnik Moskovskogo ...
Portfolio optimization in the case of an exponential utility function and in the presence of an illiquid asset
... Mathematical Analysis and Applications. 2017. Vol. 453. P. 668—699.
4. Bordag L. A., Yamshchikov I. P., Zhelezov D. Portfolio optimization in the case of an asset with a given liquidation time distribution // International Journal of Engineering and Mathematical Modelling. 2015. Vol. 2 (2). P. 31—50.
5. L Bordag L. A., Yamshchikov I. P., Zhelezov D. Optimal allocation-consumption problem for a portfolio with an illiquid asset // International Journal of Computer Mathematics. 2016. Vol. 93 (5). P. 749—760....
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 damages ...
About various approaches on visualizations for classical mathematic models
Various visualization methods for classical mathematic models, including statistical graphics, 2D and 3D animation are reviewed, and possible means of realization for such animations are suggested.
1. Худенко В. Н. Об использовании анимации в преподавании математических ...
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 different types ...
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 analyzed.
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, compressible,...
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 company....
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 from 3 to 10 ...
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 model; models ...
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 a mathematical ...
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 of almost ...
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 its increase....
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. Paris: I....
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.
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 a mathematical ...
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.
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.
Sedov R. L., Orlov S. V., Latishev K. S.
mathematical modelling, the ordinary differential equations, numerical methods, optimization, biomechanics.
Formal models of a system of automated generation of programming tests
Formal approaches to creation of algorithms implemented in automated tests generation system are considered. Structure of a software system of programming tests generation is presented. Problem statements and mathematical models for some modules of the system are described.
1. Алсынбаева Л. Г. Система автоматизированной генерации тестовых заданий // Программные продукты и системы. ...
Modeling of dynamics of distribution of attention in protses-sah a goal-setting
... mechanism of focusing attention in the process of formulating objectives by people are considered. A connection has been shown between the development of emotional experience, keenness of attention and the value containing the excitation zone stimulus. A mathematical model was devised and tested. The model determines changes in keenness of attention depending on the intensity of emotions and the distance between the stimulus and the current point in the space of mental images. The model is based on the application ...
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 of work of ...
The methodological and mathematical implementation of the integrated controlling theory
... метод научного познания // Вестник Сургутского государственного педагогического университета. 2013. № 3. С. 192—196.
integrated controlling, methodology, modelling, mathematical model
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. № 117. С. 6—7....
A dynamic visualizations of mathematic models of the singular points of hydrodynamics analytic functions
Dynamic visualizations for mathematic models for potentially stable flows of ideal incompressible liquid have been built using special points of analytic functions.
1. Голубева О. В. Курс механики сплошных сред. М., 1972.
2. Лойцянский Л. Г....
Structure and dynamics of need reduction: a mathematical model
One of the features distinguishing human being from the outer world is the ability to set goals and motivation, which are closely connected with the processes of emergence and development of needs. On the basis of mathematical modelling, the author analyses the dynamics of development of need state for major types of needs.
Мотивация и мотивы. СПб., 2003.
Потребности, мотивы и ...
A mathematical model of conversion of GaAs substrate into thin GaNxAs1-x films obtained by nitridation of porous GaAs substrate
A mathematical model of conversion of GaAS substrate into thin GaNxAs1-x films obtained by nitridation of porous GaAs substrate are presented. The technologic conditions influence on GaNxAs1-x parameters are discussed. The comparative analysis of both experimental and ...
The Abel equation and cosmological scalar field zeroes
... Vernov S.Yu. Crossing the w = – 1 barrier in the D3-brane dark energy model // Phys. Rev. D. 2005. Vol. 72. P. 064017: 1—11.
8. Yurov A. V., Yurov V. A., Chervon S. V., Sami M. Total energy potential as a su-perpotential in integrable cosmological models // Theoretical and Mathematical Physics. 2011. Vol. 166, Iss. 2. P. 299—311.
9. Chervon S. V., Zhuravlev V. M., Shcigolev V. K. New Exact Solutions in Standart Inflationary Models // Phys. Lett. B. 1997. Vol. 395. P. 269—273.
Yurov V., Yaparova A.
cosmology, Abel ...
An instability of the equatorial F-layer of the ionosphere under conditions of alternating electric fields
The results of numerical simulation of Rayleigh-Taylor instability under conditions of alternating electric fields on the basis of electrodynamically consistent mathematical model of the Equatorial F-layer of the ionosphere.
1. Грэд Г. О кинетической теории разреженных газов // Механика. 1952. Вып. 4. С. 71—79 ; Вып. 5. С. 61—96.
2. Гершман Б. Н. Динамика ...
A high resolution model of the equatorial F-layer of ionosphere
... mass spectrometer and incoherent scatter data MSIS 2. Composition // J. Geophys. Res. 1977. Vol. 82, N. A1. P. 2148—2156.
Kashchenko N., Ishanov S., Matsievsky S.
ionosphere, thermosphere, F-layer, Rayleigh-Taylor instability, electric field, mathematical model, numerical simulation.
Modeling of regional logistic system
The review of the mathematical approaches to modeling regional logistic of system in the Kaliningrad area is submitted.
. Носов А. Л
. Региональная логистика. М., 2007.
. Моделирование логистических процессов ...
Mathematical model of transportation of relativistic electronic beams. Analogy to the equations of gas dynamics
... equations for moments of the distribution function of relativistic electron beam (REB), the modeling transportation processes in the gas environment and the equations of gas dynamics of ideal polytropic gas was carried out. The found analogy between these models allowed to specify mathematical statement of a problem for REB and to facilitate a choice of edge conditions of the task.
1. Lee E. P. Kinetic theory of a relativistic beams // Phys. Fluids. 1976. Vol. 19, № 1. P. 60—69.
2. Lee E. P., Cooper R. K. General envelope ...
The computer simulation of tsunami wave breaking against a steep shore
... equations. The ocean and the atmosphere above it are considered as an integral continuous environment. At the water-air surface, the density changes abruptly from ρ = ρwater = 1000 kg/m3 for water to ρ = ρair = 1.2 kg/m3 for air. The solution to model equations is generalised. The mathematical mechanism
of equation solving suggests automatic smoothing of density in the area of wave breaking and formation of a thin fluid layer with an intermediate density.
1. Пелиновский Е. Н. Гидродинамика волн цунами....
Kant’s transcendentalism and concept of the thing in itself
... koncepcija soznanija (poznanija) kak model' «iskusstvennogo intellekta» [Kant’s concept of consciousness (knowledge) as model of "artificial intelligence"], in: Novoe v iskusstvennom intellekte. Metodologicheskie i teoreticheskie voprosy.... ... matematicheskoiy dejatel'nosti: abstraktnye (matematicheskie) ob"ekty, konstrukcii i dokazatel'stva [Transcendental analysis of mathematical activity: abstract (mathematical) objects, structures and proofs], in: Dokazatel'stvo: ochevidnost', dostovernost' ...
Teoretical nonstationary two-dimensional modal with altitude-longitudinal variations of ionosphere parameters
... «Интеркосмос-19» // Препринт № 45(734). М., 1987.
5. Kohnlein W. A. Model of thermospheric temperature and composition // Planet. Space Sci. I980. Vol. 28, № 1. P. 225—243.
Bogomolova M., Ishanov S., †Klevtsur S., Kozhurova A., Latyshev K.
mathematical model, ionosphere, thermosphere wind
An oscillatory excited molecular nitrogen in the ionospheric plasma
The mathematical model for research of the non-stationary processes proceeding in ionosphere and plasmasphere of Earth is presented. This model allows to investigate dynamics of interaction charged and neutral components of ionospheric plasma, and also to reveal a contribution ...
Production unit as a bounded operator
... развития. Российская Академия Наук. Кольский научный центр. Апатиты, 2008.
8. Lusternik I. A., Sobolew W. I. Elementy analizy funkcjonalnej. Warszawa, 1959.
production venture, mathematical model, structure, operation
Simulation technique in the mathematical theory of learning
... the alphabet as an example). The charts show temporal changes in students’ knowledge and motivation. Research works on the mathematical theory of learning, and the analysis of semiformalized and semistructured systems, research into cognitive and simulation ... ... Т. 20, № 1. С. 17—26.
18. Mayer R. V. Assimilation and Forgetting of the Educational Information: Results of Imitating Modelling // European Journal of Contemporary Education. 2017. № 6(4). P. 739—747.
19. Mayer R. V. Imitating model of assimilation ...
Joint modeling of elastic and acoustic waves in the Arctic
.... моделирование. 1990. Т. 2, № 11. C. 10—29.
6. Favorskaya A. V., Petrov I. B., Sannikov A. V., Kvasov I. E. Grid Characteristic Method Using High Order Interpolation on Tetrahedral Hierarchical Meshes with a Multiple Time Step // Mathematical Models and Computer Simulations. 2013. Vol. 5, № 5. P. 409–415.
7. Голубев В. И., Петров И. Б., Хохлов Н. И. Численное моделирование сейсмической активности сеточно-характеристическим ...
Simulating of non-stationary processes in the ionospheric plasma
... СССР. 1984. Т. 279, № 1. С. 80—83.
11. Chetverushkin B., D’Ascenzo N., Ishanov S., Saveliev V. Hyperbolic type explicit kinetic scheme of magneto gas dynamics for high performance computing systems // Russian Journal of Numerical Analysis and Mathematical Modeling. 2015. 30(1). P. 27—36.
Bogomolov K., Ishanov S., Kashchenko N., Matsievsky S.
mathematical model, numerical simulating, ionosphere, plasmasphere, concentration, velocity, temperature, chemical kinetics, ambipolar diffusion, energy equation,...
Mathematical Model of Intramolecular Tautomeric Transformation and the Processes of a Relaxation of the Proton
... Ширков Д. В.
Введение в теорию квантованных полей. М., 1973.
Пантел Р., Путхов Г.
Основы квантовой электроники. М., 1972.
Kvitko G. V., Kuzin E. L., Schott D. V.
mathematical model, proton, tautomeric transformation, proton relaxation.
The central philosophical conception of the creator of logical algebra: On the bicentenary of George Boole
... of deductive reasoning. Cambridge ; L., 1847.
4. Boole G. An investigation of the laws of thought, on which are founded the mathematical theories of logic and probabilities. L. ; Cambridge, 1854.
5. Hailperin T. Boole's Logic and Probability. N. Y., ... ... Algebra. N. Y., 1891.
history of logic, George Boole, problem of psychologism in logic, thought processes modelling