Development of algorithms that simulate the solution of a problem by a person

Some algorithms, which are often based on the use of elements of higher mathematics, possessing high speed and compact coding in algorithmic languages, are poorly mastered by most students. It can be assumed that this is due to the difficulty of presenting the principles of their work in the form of human actions in ordinary situations. Thus, a certain contradiction arises between the way of solving the problem that a person resorts to without using a computer and the way we force our computer to solve this problem. Comparison of the process of explaining algorithms speaks in favor of algorithms imitating human thinking. The discussion of the advantages of the algorithms themselves is beyond the scope of this article and undoubtedly deserves a separate study. If artificial intelligence is created, then its creator or creators will certainly be ranked among the outstanding geniuses in the history of civilization, no matter what algorithms it uses. However, so far there is no one to solve problems for us and create algorithms, so we will use all available means and try to teach this to children.

THE INFLUENCE OF RELATIONS IN DISTANT FAMILIES OF MIGRANT WORKERS ON THE UPBRINGING OF CHILDREN

Distant families are families whose members are forced to live long distances for various reasons. Due to various adverse political, social and economic conditions, this type of family has expanded significantly in recent decades. Especially many distant families of migrant workers were formed due to the mass departure of the population to earn money abroad. The purpose of this article is to describe the results of a study of the impact of relationships in distant families of migrant workers on the type of upbringing of their children. Research methods used: analysis of scientific publications on the research problem, comparison and generalization of research results; observation, survey of parents, guardians, children and, conversations with children, parents, guardians, teachers; methods of mathematical statistics. The article describes the results of a survey of parents and guardians from distant families about the relationships that develop in their family in general and relationships with children in particular. It has been found that they are often conflicting, contradictory, parents and guardians anxiety, uncertainty, recognize that not cope with their responsibilities, as unruly children exhibit negative behaviors. Factors, that affect on the implementation of upbringing functions in distant families are similar to those, which present in divorce and incomplete families, but they are complemented by the cult of money in the family and the artificial replacement of affection and love to love of material goods and satisfaction of elementary needs. At the same time, mental needs are retreat to the background. A comparative analysis of the assessment of relationships between adults and children in distant families is shown, which illustrates differences in the assessment of relationships between adults and children. Analyzes which types of attitudes parents and guardians to educate children in distant families prevail and therefore that parenting style they have.

The algorithm for generating internal structure of product considering stress-strain on example three-point bending

An algorithm is proposed for optimizing the internal structure of a sample obtained by 3D printing, while maintaining the mechanical strength and rigidity. The basis is the pre-calculated stress-strain state of the sample in an elastic isotropic setting. Numerical simulation results are obtained showing the performance of the optimized design using the example of the three-point bending problem. Comparison of the results of numerical modeling, optimized and monolithic samples, in elastic isotropic formulation is presented

Counting Collisions in an N-Billiard System Using Angles Between Collision Subspaces

The principal angles between binary collision subspaces in an N-billiard system in d-dimensional Euclidean space are computed. These angles are computed for equal masses and arbitrary masses. We then provide a bound on the number of collisions in the planar 3-billiard system problem. Comparison of this result with known billiard collision bounds in lower dimensions is discussed.

A Numerical Approach to Estimate Natural Frequency of Trees with Variable Properties

Free vibration analysis of a Euler-Bernoulli tapered column was conducted using the finite element method to identify the vibration modes of an equivalent tree structure under a specified set of conditions. A non-prismatic elastic circular column of height L was analysed, taking distributed self-weight into account. Various scenarios were considered: column taper, base fixity, radial and longitudinal stiffness (E) and density (ρ) and crown mass. The effect on the first natural frequency was assessed in each case. Validation against closed form solutions of benchmark problems was conducted satisfactorily. The results show that column taper, base fixity and E/ρ ratio are particularly important for this problem. Comparison of predictions with field observations of natural sway frequency for almost 700 coniferous and broadleaved trees from the published literature showed that the model worked well for coniferous trees, but less well for broadleaved trees with their more complicated crown architecture. Overall, the current study provides an in-depth numerical investigation of material properties, geometric properties and boundary conditions to create further understanding of vibration behaviour in trees.

Numerical Solution of SDRE Control Problem – Comparison of the Selected Methods

Methods for solving non-linear control systems are still being developed. For many industrial devices and systems, quick and accurate regulators are investigated and required. The most effective and promising for nonlinear systems control is a State-Dependent Riccati Equation method (SDRE). In SDRE, the problem consists of finding the suboptimal solution for a given objective function considering nonlinear constraints. For this purpose, SDRE methods need improvement.In this paper, various numerical methods for solving the SDRE problem, i.e. algebraic Riccati equation, are discussed and tested. The time of computation and computational effort is presented and compared considering selected nonlinear control plants.