With the help of an integral inequality generalizing, in particular, Chebyshev’s inequality, we obtain sharp two-sided a priori estimates for the solution of the Volterra integral equation with a power nonlinearity and a general kernel in a cone consisting of all non-negative and continuous functions on the positive half-axis. On the basis of these estimates, a complete metric space is constructed that is invariant with respect to the nonlinear Volterra integral operator generated by this equation, and a global theorem on the existence, uniqueness, and method of finding a solution to the indicated equation is proved by the method of weighted
metrics (analogous to the Belitsky method). It is shown that this solution can be found by the method of successive approximations of the Picard type and an estimate is given for the rate of their convergence in terms of the weight metric. It is shown that, in contrast to the linear case, the nonlinear homogeneous Volterra integral equation, in addition to the trivial solution, can
also have a nontrivial solution. Conditions are indicated under which the homogeneous equation corresponding to a given nonlinear integral equation has only a trivial solution. At the same time, a refinement and generalization of some results obtained in the case of nonlinear integral equations with difference and sum kernels is given. Examples are given to illustrate the results obtained.

The history of the problem of calculating and estimating the Hermite constant has two centuries. This article provides a brief overview of the history of this problem. Also, this problem is considered from the point of view of critical lattices of the unit sphere.
This problem begans from the works of J. L. Lagrange, L. A. Seeber and K. F. Gauss.
While developing the theory of reduction of positive definite quadratic forms, they obtained limit forms for which the ratio of the minimum value of these forms at integer points other than 0 to their determinant is maximal.
In the middle of the 19th century, Sh. Hermit obtained an estimate for this quantity for an arbitrary dimension. And at the end of the 19th century, A. N. Korkin and E. I. Zolotarev proposed a new method for reducing quadratic forms, which made it possible to obtain exact
values of the Hermite constant up to dimension 8.
In this paper, we will consider a quantity equivalent to the Hermite constant, the critical determinant of the unit sphere. It should be noted that these quantities are closely connected with other problems in the geometry of numbers, for example, the problems of finding the density of the best packing, finding the shortest lattice vector, and Diophantine approximations. We present critical lattices of dimensions up to 8 and consider some of their metric properties.

In this paper theorems on the expression of real numbers on multiplicative number system.
It pay a special attention to “explicit formulas” and conditions of the uniqueness of such representations. Here is found that the sequence remainders in this expansion has the uniform distribution. The given statement generalises the known result of Hardy–Littlewood for a
positional system of calculus. On the base of proof lie two statement: the Weyl’s criteria of the uniform distribution of a sequence modulo unit and the theoretic-probability lemma of Borel–Cantelli.

In this short review paper, we present the latest results on the sharp Bernstein–Nikol’skii constants for polynomials on the multidimensional unit sphere in the space 𝐿𝑝 with the Dunkl
weight and the Beltrami–Dunkl operator and related weight constants for polynomials and entire functions of exponential type and Gegenbauer and Bessel operators. For a long time, the
classical trend in the theory of Bernstein–Nikol’skii inequalities was the establishment of an growth rate of constants depending on the growth of the degree of polynomials. The modern development of the theory is the proof of asymptotic equalities of Levin–Lubinsky-type, which refine the asymptotic equivalences. The main results here were obtained by F. Dai, M. Ganzburg, E. Levin, D. Lubinsky, S. Tikhonov, the authors of the work.
We start from the previously proven relations between the multidimensional Bernstein–Nikol’skii constant and the one-dimensional constant for algebraic polynomials with the Gegenbauer weight and the Gegenbauer differential operator. In the case of the reflection group of an octahedron and a multiplicity function 𝜅 such that min 𝜅 = 0, these constants are equal. As a corollary, for 𝑝 > 1 this allows one to write down the Levin–Lubinsky asymptotic equalities of
the Bernstein–Nikol’skii constants with an integer power of the Beltrami–Dunkl operator. The case min 𝜅 > 0 is considered for the case of Nikol’skii constants and the circle. For the subspace of even polynomials with even harmonics, a connection is established with the sharp Nikol’skii constant for polynomials on compact homogeneous spaces of rank 1. This made it possible to write the Levin–Lubinsky equality for pointwise constants for all 𝑝 > 0 and general constants
for 𝑝 > 1, which agrees with the known asymptotic inequality.
The limit constants in the Levin–Lubinsky asymptotic equalities are expressed in terms of the Bernstein–Nikolskii constants for entire functions of exponential type on Euclidean space, halfaxis with the power weight and Laplace, Laplace–Dunkl, Bessel operators. Further refinement of the values of the constants is connected with their estimation at large dimension of space or the weight exponent. In this paper, we present a scheme for obtaining such estimates for the case of the space 𝐿1. This case is also interesting because it is related to the Remez extremal 𝐿1-norm concentration problem.

In abstract number theory and its applications to statistical physics, the concept of entropy plays an important role. Since entropy is equal to the logarithm of the distribution function, studying the entropy behavior of a monoid is equivalent to solving the inverse problem for this monoid.
The paper considers questions about the asymptotics of entropy for some monoids of natural numbers and monoids of natural numbers with a weight function.
First, the problem is solved for two monoids of the geometric progression type.
Secondly, the results obtained with respect to entropy for monoids with an arbitrary exponential sequence of primes of type 𝑞 are based on the solution of the inverse problem for monoids of this type obtained earlier by the authors.
To solve this problem, we consider two homomorphisms of the main monoid 𝑀(P(𝑞)) of type 𝑞 and the distribution problem reduces to the additive Ingham problem.
It is shown that the concept of power density does not work for this class of monoids. A new concept of 𝐶 logarithmic 𝜃-power density is introduced.
It is shown that any monoid 𝑀(P(𝑞)) for a sequence of pseudo-simple numbers P(𝑞) of type 𝑞 has upper and lower bounds for the element distribution function of the main basic monoid 𝑀(P(𝑞)) of type 𝑞.
It is shown that if 𝐶 is a logarithmic 𝜃-power density for the main monoid 𝑀(P(𝑞)) of the type 𝑞 exists, then 𝜃 = 1
2 and for the constant 𝐶 the inequalities are valid 𝜋√︁1/3ln𝑞 <= 𝐶 <= 𝜋√︁2/3ln𝑞 .
The results obtained are similar to those previously obtained by the authors when solving the inverse problem for monoids generated by an arbitrary exponential sequence of primes of type 𝑞.

For basic monoids 𝑀(P(𝑞)) of the type 𝑞, the question remains open about the existence of a 𝐶 logarithmic 1/2 -power density and the value of the constant 𝐶.

In the paper the Fermat–Torricelli problem is considered. The problem asks a point minimizing the sum of distances to arbitrarily given points in d-dimensional real normed spaces.
Various generalizations of this problem are outlined, current methods of solving and some recent results in this area are presented. The aim of the article is to find an answer to the following question: in what norms on the plane is the solution of the Fermat–Torricelli problem unique for any three points. The uniqueness criterion is formulated and proved in the work, in addition, the application of the criterion on the norms set by regular polygons, the so-called lambda planes, is shown.

In the first part of the paper, a modification of elementary Titchmarsh’s method is applied to the proof of the local Kronecker’s theorem. For any finite real sequence ¯𝜆= (𝜆1, . . . , 𝜆𝑟) of linearly independent (over Q) numbers and for any 𝜀 > 0, this method leads to the explicit upper bound of the value ℎ = ℎ(𝜀,¯𝜆) with the following property: for any real sequence ¯𝛼 = (𝛼1, . . . , 𝛼𝑟), any interval of the length ℎ contains a point 𝑡 such that ‖𝑡𝜆𝑠 − 𝛼𝑠‖ <= 𝜀, 1 <= 𝑠 <= 𝑟. Such estimate is weaker than the best known, but it’s proof is quite simple and leads
to the same (in essence) results in the applications.
The second part contains the short memoirs concerning the academician Alexey Nikolaevich
Parshin who passed away on June, 18 this year.

The paper is devoted to “uniform” reduction of smooth functions on 2-manifolds to canonical form near critical points of the functions by some coordinate changes in some neighborhoods of these points. A function 𝑓(𝑥, 𝑦) has a singularity of the type 𝐴𝑘, 𝐸6, or 𝐸8 at its critical point if, in some local coordinate system centered at this point, the Taylor series of the function has the form 𝑥2 +𝑦𝑘+1 +𝑅2,𝑘+1, 𝑥3 +𝑦4 +𝑅3,4, 𝑥3 +𝑦5 +𝑅3,5 respectively, where 𝑅𝑚,𝑛 stands for a sum of higher order terms, i.e., 𝑅𝑚,𝑛 = Σ︀𝑎𝑖𝑗𝑥𝑖𝑦𝑗 where 𝑖/𝑚 + 𝑗/𝑛 > 1. In according to a result by V. I. Arnold (1972), these singularities are simple and can be reduced to the canonical form with 𝑅𝑚,𝑛 = 0 by a smooth coordinate change.
For the singularity types 𝐴𝑘, 𝐸6, and 𝐸8, we explicitly construct such a coordinate change and estimate from below (in terms of 𝐶𝑟-norm of the function, where 𝑟 = 𝑘 + 3, 7, and 8 respectively) the maximal radius of a neighborhood in which the coordinate change is defined.
Our coordinate change provides a “uniform” reduction to the canonical form in the sense that the radius of the neighborhood and the coordinate change we constructed in it (as well as all partial derivatives of the coordinate change) continuously depend on the function 𝑓 and its partial derivatives.

Consider the problem
𝐿𝑢(⃗𝑥) = 𝑓(⃗𝑥),
𝑢(⃗𝑥)⃒⃒𝜕𝐺𝑠= 𝑔(⃗𝑥),
where 𝑓(⃗𝑥), 𝑔(⃗𝑥) ∈ 𝐸𝛼
𝑠 , 𝐿 is a linear differential operator with constant coefficients, 𝐺𝑠 is the
unit cube [0; 1]𝑠.
Its solution is reduced to finding the minimum of the functional
𝑣(𝑢(⃗𝑥)) =∫︁. . .𝐺𝑠∫︁ 𝐹 (⃗𝑥, 𝑢, 𝑢𝑥1 , . . . , 𝑢𝑥𝑠 ) 𝑑𝑥1 𝑙𝑑𝑜𝑡𝑠𝑑𝑥𝑠
under given boundary conditions.
The values of the functional 𝑣(𝑢(⃗𝑥)) in the Ritz method are considered not on the set of all admissible functions 𝑢(⃗𝑥), but on linear combinations 𝑢(⃗𝑥) = 𝑊0(⃗𝑥) + Σ︁(𝑛 𝑘=1) 𝑤𝑘𝑊𝑘(⃗𝑥),
where 𝑊𝑘(⃗𝑥) are some basic functions that we will find using number-theoretic interpolation, and 𝑊0(⃗𝑥) is a function that satisfies the given boundary conditions, and the rest 𝑊𝑘(⃗𝑥) satisfy
homogeneous boundary conditions.
On these polynomials, this functional turns into a function 𝜙( ⃗𝑤) of the coefficients 𝑤1, . . . ,𝑤𝑛. These coefficients are chosen so that the function 𝜙( ⃗𝑤) reaches an extremum.
Under some restrictions on the functional 𝑣(𝑢(⃗𝑥)) and the basis functions 𝑊𝑘(⃗𝑥), we obtain an approximate solution of the boundary value problem.

In the theory of the hyperbolic zeta function of lattices, a significant role is played by the Bakhvalov theorem, in which the magnitude of the zeta function of the lattice of linear comparison solutions is estimated through the hyperbolic lattice parameter.
In N. M. Korobov’s 1963 monograph, this theorem is proved by a method different from the original work of N. S. Bakhvalov. In this method, the central role is played by the lemma about the number of linear comparison solutions in a rectangular area.
The paper gives new estimates of the number of lattice points of linear comparison solutions in rectangular regions. This allows us to prove the strengthened Bakhvalov theorem on the evaluation of the hyperbolic zeta function of the lattice of solutions of linear comparison.
The difference between the theorem on the number of lattice points of linear comparison solutions in rectangular regions and the corresponding Korobov lemma is that instead of one estimate through the ratio of the volume of a rectangular region to a hyperbolic parameter, two more cases are added and in the first case the constant is reduced. The use of the theorem on the number of lattice points of linear comparison solutions in rectangular areas leads to the
need to prove the Bakhvalov–Korobov theorem to consider various areas of application of the theorem on the number of lattice points of linear comparison solutions in rectangular areas.

Currently, one of the main problems of widespread use in mechanical engineering of tungstentitanium-cobalt hard alloy is the high cost of alloying components that make up its composition, tungsten and titanium. In addition, this alloy has a sufficiently high melting point, which makes it difficult to recycle it for secondary use. One of the promising methods of their processing into spherical powders is electroerosive dispersion. To date, there is no complete information in the modern scientific and technical literature on the use of particles dispersed by electroerosion of tungsten-titanium-cobalt hard alloy of the T5K10 brand as a charge for the production of hard alloys and cutting tools from them. For these purposes, comprehensive theoretical and experimental studies are required.
The purpose of this work was to conduct a dimensional analysis of particles of carbide powder obtained by electroerosive dispersion of tungsten-titanium-cobalt hard alloy in kerosene.
Electroerosive dispersion of tungsten-titanium-cobalt hard alloy waste of the T5K10 brand was carried out on an experimental installation (RF Patent No. 2449859). As a result of exposure to short-term electrical discharges, carbide particles of various shapes and sizes were formed. The dimensional characteristics of the powder particles obtained from the tungsten-titanium-cobalt hard alloy were studied using the Analysette 22 NanoTec laser particle size analyzer.
Based on the conducted experimental studies, it was found that the powder obtained by electroerosive dispersion of tungsten-titanium-cobalt hard alloy T5K10 grade in kerosene contains: 10% of particles with a size up to 5,592 microns; 20% of particles with a size up to
9,871 microns; 30% of particles with a size up to 13,483 microns; 40% of particles with a size up to 19,451 microns; 50% of particles with a size up to 24,996 microns; 60% of particles with a size up to 29,194 microns 70% of particles with a size up to 33,868microns; 80% of particles with a size up to 42.686 microns; 90% of particles with a size up to 56.121 microns; 99% of particles with a size up to 64.469 microns inclusive. At the same time, the particles of the carbide
powder obtained by electroerosive dispersion of the tungsten-titanium-cobalt alloy T5K10 have sizes from 0.5 to 100 microns with an average volumetric diameter of 27,092 microns.

It is well known that modern historians of the physical and mathematical sciences have to devote a lot of time and effort to routine work related to the formation of a thematic database in the chosen field of research, as well as the search for primary sources and for the historical-scientific content (memoirs, letters, articles for anniversaries, etc.). Another laborintensive part of the researcher’s activity (regardless of the sphere of interests) is related to
scientific-organizational and scientific-methodological nature’s questions, such as participation in conferences and seminars, search for journals for publication, search for grants for financial support, etc. The development of the theory of expert systems and neural network algorithms made it possible to build electronic systems of scientific awareness in the field of the history of science, performing a significant part of the above tasks. This will allow to spend more time
to the main work of the scientist – obtaining new results. In accordance with the principles of knowledge engineering, it is proposed to include trained electronic agents with artificial intelligence in the structure of the scientific awareness system of the historian of mathematics, which will allow solving complex search problems, as well as forming databases and knowledge bases in the relevant subject area. The authors present a variant of the interface of the system of scientific awareness in the field of the history of mathematics, which includes a learning subsystem containing lecture material and information of an encyclopedic nature, as well as the
following functional blocks

- search;
- formation of databases of publications and primary sources;
- seminars and conferences;
- forums and social networks of scientists;
- grant support;
- formation of a database of universities implementing educational programs in the field of
history of mathematics;
- joint work on scientific projects.

The article presents a new empirical mathematical model for describing the change in the actual contact area of metals depending on the friction path, including such characteristics as the sharpness of the change in the actual contact area, the initial intensity of the change in the actual contact area, the increment in the intensity of the change in the actual contact area, the value of the friction path corresponding to the minimum "acceleration"of changes in the actual
area of contact. The validity of the developed mathematical model is shown for the friction of pyramidal indenters made of aluminum, copper and steel St.3 on a steel surface.

The article presents a new empirical mathematical model for describing the change in the friction coefficient depending on the sliding speed, including such characteristics as the initial intensity of the change in the friction coefficient, the increment in the intensity of the change in the friction coefficient when switching to a new mode, the sharpness of the change in the friction coefficient when switching to a new mode, the value sliding speed corresponding to the minimum “acceleration” of the change in the friction coefficient during the transition to a new friction mode. The validity of the developed mathematical model is shown for the friction of guides made of gray cast iron SCh21-40 in the medium of lubricating oils "Industrialnoe
12 "Industrialnoe 45 "Avtol 18".

The article considers the problem of a plane harmonic sound wave diffraction by an elastic ellipsoid. To represent the scattered field, a representation in the form of a Kirchhoff integral is used. This leads to the need to solve the Fredholm integral equation of the second kind to determine the displacement potential in the scattered wave on the surface of the scatterer. It
is shown that the use of quadrature formulas based on number-theoretic grids allows you to reduce the number of calculations for the approximate calculation of integrals, when solving the integral equation and when calculating the scattered acoustic pressure in near field. This method is compared with the calculation of integrals by the simple cell method, which has the
same order of accuracy. The time of solving the problem is compared with the calculation of pressure in the vicinity of the ellipsoid based on the solution of an integral equation by two methods for calculating integrals.

In the present article we propose a modification of the PaDiM anomaly detection method which maps images to vectors and then calculates the Mahalanobis distance between such vectors and the distribution of the vectors of the training set. Of the coordinate axes of the vectors we choose a subset of such that the distribution along them is close to normal according to the chosen statistical criterion. The uniformization procedure is then applied to those coordinates and the Mahalanobis distance is calculated. This approach is shown to increase the ROCAUC value in comparison with the PaDiM method.

The article considers the interaction of hydrogen with crystal structure defects in metals and alloys. The classification of hydrogen traps in terms of their energy levels is given. Various types of interactions of hydrogen traps are considered, depending on their binding energy. The effect of hydrogen traps on the diffusion coefficient of hydrogen in steel has been studied. It is shown that the presence of high-energy hydrogen traps in metals leads to a decrease in the dif-fusion mobility of hydrogen, which is thereby excluded from the embrittlement process.

The article substantiates the importance of studying recursion by students of the 44.03.05 Pedagogical education profile of Informatics, as well as by students of the second and ninth enlarged groups associated with IT areas. The works of Esayan A.R. are analyzed, which form the methodological and theoretical basis for teaching students of the Tula State Pedagogical University in the field of construction and use of recursive algorithms. An overview of current research in the field of the formation and development of the mathematical culture of future teachers and specialists in IT areas through the study of recursion, methodological features of the study of recursive algorithms as the basis for the development of the worldview and
research skills of students, examples of the effectiveness of the use of recursive constructions and functions in solving practice-oriented tasks.
The authors describe the logic of studying the basics of recursion, the principles for selecting the content necessary for the study of this topic by future teachers and specialists in IT areas.
The proposed content of the classes is based not only on the theoretical study of the basic concepts of this subject area, but also on the consideration of convincing irrefutable evidence of the existence and beauty of recursive objects of various nature. The study of practical material is proposed to be built in accordance with the didactic principle "from simple to complex": from the simplest recursive algorithms for perception to efficient sorting and search
algorithms on dynamic data structures. This approach, according to the authors, allows students to evaluate the significance and effectiveness of recursive methods of information processing and
form professional competencies in the development and application of optimal algorithms for solving practice-oriented problems.

The work is devoted to the study of the evolution of the main provisions of the qualitative theory, under the sign of which the development of all mathematics of the twentieth century took place. In the development of qualitative theory there are several stages with clearly defined trends: the formation of a qualitative theory, when new approaches, a new language and a system of concepts were formed (late 19th – 20s of the 20th century); the next stage is the widespread use of methods of topology and functional analysis, probabilistic representations and the expansion of qualitative theory with the allocation of independent areas (late 1920s – mid-twentieth
century); from the middle of the twentieth century to the present – the modern stage. It is distinguished by the fact that the idea of mathematics as a single science was embodied in the qualitative theory. Qualitative theory has absorbed the ideas and methods of various branches (topology, functional analysis, the theory of Lie groups, etc.). The unifying role of a qualitative theory is that it embodies two cultures in mathematics, one of them is aimed at solving problems, and the other – at building and comprehending theories. In this respect, qualitative theory is not just a specific branch, but a peculiar approach to mathematical problems. A feature of the present stage is the still unprecedented convergence with the field of applications, especially with physics. Physics is not just a consumer, it has stimulated fundamental changes in mathematics itself. It becomes difficult to draw a distinguishable boundary between some branches of mathematics and theoretical physics. Qualitative theory has transformed the face of all mathematics and its applications.

The development and introduction of innovative educational technologies into everyday practice are traditionally carried out on the basis of the provisions and recommendations of classical pedagogical science. The article proposes a concept of the methodology of simulation modeling of pedagogical systems, which integrates the provisions of the system approach, pedagogy and psychology of higher education, methods of operations research and the theory of
modeling complex systems. The features of the pedagogical system as an object of research are highlighted. The essence of the proposed methodology of simulation modeling is revealed and a brief description of actual applied tasks that can be effectively solved on its basis is given.

In paper the problem of spherical sound wave reflection and transmission through a homogeneous isotropic elastic plate with a continuously inhomogeneous in thickness elastic coating is considered. It is believed that the plate is placed in an infinite ideal fluid, and the incident sound wave is harmonic and is generated by point source.
An analytical solution of the posed problem is obtained on the basis of the known solution of the problem about the passage of plane sound waves through plate with a continuously inhomogeneous coating and using integral representation of a spherical wave in the form of an expansion on flat waves.
Finding the displacement field in an inhomogeneous layer is reduced to solving boundary value problem for a system of ordinary differential equations of the second order.
The results of numerical calculations of frequency characteristics are presented for reflected and transmitted acoustic fields.

On the basis of the physical concept of pore formation, origin and growth of pores, generalized determining relations of the tensor model of plastic damage of metals based on three invariants are formulated. The multiplicative decomposition of the metric transform tensor and
the thermodynamic formulation of the defining relations lead to a symmetric damage tensor of the second rank with a clear physical meaning. Its first invariant determines the damage associated with the plastic dilatance of the material due to pore growth, the second invariant of the deviant tensor - damage associated with a change in the shape of defects, the third invariant of the deviant tensor describes the effect on the damage of the type of stress state (Lode angle),
including the effect of the rotation of the main axes of the stress tensor (change of the Lode angle). The introduction of three component measures with the corresponding physical meaning allows the kinetic process of deformation damage to be represented by an equivalent parameter in a three-dimensional vector space, including the criterion conditions for plastic destruction. A measure of plastic damage based on three invariants can be useful in assessing the quality of the mesostructure of metal products obtained by pressure treatment methods.

Homogeneous Beatty sequences are sequences of the form 𝑎𝑛 = [𝛼𝑛], where 𝛼 is a positive irrational number. In 1957 T. Skolem showed that if the numbers 1, 1/𝛼, 1/𝛽 are linearly independent over the field of rational numbers, then the sequences [𝛼𝑛] and [𝛽𝑛] have infinitely many elements in common. T. Bang strengthened this result: denote 𝑆𝛼,𝛽(𝑁) the number of natural numbers 𝑘, 1 <= 𝑘 <= 𝑁, that belong to both Beatty sequences [𝛼𝑛], [𝛽𝑚], and the numbers 1, 1/𝛼, 1/𝛽 are
linearly independent over the field of rational numbers, then 𝑆𝛼,𝛽(𝑁) ∼ 𝑁 𝛼𝛽 for 𝑁 → ∞.
In this paper, we prove a refinement of this result for the case of algebraic numbers. Let 𝛼, 𝛽 > 1 be irrational algebraic numbers such that 1, 1/𝛼, 1/𝛽 are linearly independent over the field of rational numbers. Then for any 𝜀 > 0 the following asymptotic formula holds:
𝑆𝛼,𝛽(𝑁) = 𝑁/𝛼𝛽 + 𝑂(︀𝑁^((1/2)+𝜀))︀, 𝑁 → ∞.

In this paper, we study the deformation of the intersection of one compact set with a closed neighborhood of another compact set by changing the radius of this neighborhood. It is shown that in finite–dimensional normed spaces, in the case when both compact sets are non-empty convex subsets, such an operation is continuous in the topology generated by the Hausdorff metric.
The question of the continuous dependence of the described intersection on the radius of the neighborhood arose as a by–product of the development of the theory of extremal networks.
However, it turned out to be interesting in itself, suggesting various generalizations. Therefore, it was decided to publish it separately.

This article is devoted to the ninetieth anniversary of the birth of Professor, Doctor of Pedagogical Sciences Alexander Sergeevich Simonov, who headed the Department of Mathematical Analysis of Tula State Lev Tolstoy Pedagogical University for more than fifteen years. It provides biographical data, highlights scientific activities, and provides a list of the
main scientific works.