Characteristics of migration from Serbia to Slovakia (on the example of the municipality of Kovačica)

Due to numerous transformation problems which determined the collapse of the industrial sector, unemployment and low living standards, an increasing number of working population leaves Serbia. For a very long time, Serbian emigration was directed primarily to the developed Western European countries (especially Germany and Austria). However, Slovakia has recently joined the narrow circle of countries-destinations for emigrants from Serbia. The article focuses on this wave of the working population emigration from Serbia to Slovakia and considers it in the framework of the contemporary migration theories, especially the push-and-pull factors theory. The research data was compared with the relevant data from previous studies. The research was conducted in the municipality of Kovačica (northern Serbia) with a questionnaire on the sample of 100 respondents (the snowball method was applied), and the authors also used various other data sources: statistical data (censuses, migration statistics, etc.), media reports and scientific papers. Given the unfavorable social-economic context of the Serbian working population emigration and the chosen theoretical framework, the authors considered economic factors as crucial for this wave of migration, which seems to be similar to the previous waves of migration. In general, this assumption was confirmed: emigrants from Serbia go to Slovakia for a variety of reasons, but the key ones are the small salary in Serbia, the impossibility to find a job in ones profession, and a poor financial and political situation in the country. On the other hand, Slovakia attracts Serbian migrants by offering possibilities to earn more money, to have higher living standards, better conditions for education and work, thus, promising a better and predictable future.

On the Generalized Power Transformation of Left Truncated Normal Distribution

In this study, we considered various transformation problems for a left-truncated normal distribution recently announced by several researchers and then possibly seek to establish a unified approach to such transformation problems for certain type of random variable and their associated probability density functions in the generalized setting. The results presented in this research, actually unify, improve and as well trivialized the results recently announced by these researchers in the literature, particularly for a random variable that follows a left-truncated normal distribution. Furthermore, we employed the concept of approximation theory to establish the existence of the optimal value y_max in the interval denoted by (σ_a,σ_b) ((σ_p,σ_q)) corresponding to the so-called interval of normality estimated by these authors in the literature using the Monte carol simulation method.

Analysis of Problem-Solving Ability of MTs Students In Solving Geometry Transformation Problems Through Online Learning

The research purpose to describe and analyze the mathematical problem solving abilities of MTs students in solving Geometry Transformation problems through Online Learning due to the Covid-19 pandemic int Indonesia. The research method used is descriptive qualitative. The subjects of this research were 3 students of MTs Al-Hamid Class IX who were selected as representatives of the very good problem-solving ability category, the problem-solving ability level category was sufficient, and the problem-solving ability level category was lacking. The data collection technique used was a test consisting of 4 non-routine items and interviews. The results of the analysis can be obtained: (1) students with excellent problem-solving abilities are able to fulfill the 4 steps of solving according to their pattern but there are errors in understanding the problem in question 1. (2) students with sufficient problem-solving skills are only able to solve problems in question 1 and 2 while 3 and 4 there are errors in understanding the questions. (3) students with poor problem solving skills were only able to solve problems in question 2, while in questions 3,4 and 5 there were errors in understanding the questions. The student error factor is due to the lack of understanding of the concept of geometric transformation to do the test because the geometric transformation test questions given are non-routine, while the geometric transformations that are often encountered only substitute formulas without understanding the concept of geometric transformation which includes translation, reflection, rotation and dilation. Many have to do with everyday life so that students experience difficulties in what is meant in the questions, especially in questions 3 and 4.

Kemampuan Komunikasi Matematis dalam Menyelesaikan Soal Transformasi Geometri Ditinjau dari Gender

Abstrak — Kemampuan komunikasi matematis adalah kecakapan seseorang dalam menggunakan istilah matematika untuk menyalurkan pemikirannya secara sistematis baik secara lisan maupun tulis. Kemampuan komunikasi matematis dapat diketahui dari kemampuan siswa dalam menyelesaikan soal matematika dan kemampuan dalam mengkomunikasikan hasilnya kepada orang lain. Pengetahuan mengenai transformasi geometri berperan penting dalam perkembangan matematika siswa di sekolah karena dapat membangun kemampuan spasial, kemampuan penalaran serta membantu siswa dalam menganalisis situasi matematis. Penelitian ini bertujuan untuk mendeskripsikan kemampuan komunikasi matematis dalam menyelesaikan soal transformasi geometri yang ditinjau dari gender. Jenis penelitian ini adalah penelitian kualitatif dengan pendekatan deskriptif. Subjek penelitian ini adalah dua orang siswa laki laki dan dua orang siswa perempuan di salah satu sekolah menengah Kota Mojokerto dikarenakan penelitian ini mendeskripsikan bagaimana kemampuan komunikasi matematis yang ditunjukkan oleh siswa laki-laki dan perempuan. Berdasarkan analisis data dalam penelitian dapat disimpulkan bahwa (1) Kemampuan komunikasi matematis siswa lakilaki lebih unggul dibandingkan siswa perempuan dalam kemampuan menyajikan informasi serta dalam kemampuan menggunakan bahasa matematika yang logis dan sistematis dalam proses penyelesaian soal. Sedangkan pada kemampuan menggunakan representasi matematis dalam menyatakan gagasan matematis untuk menyelesaikan soal transformasi geometri, siswa laki-laki dan perempuan memiliki kemampuan yang sama. (2) Siswa laki-laki lebih mampu menyelesaikan soal transformasi geometri dengan lebih tepat dibandingkan siswa perempuan. (3) Siswa laki-laki lebih unggul dalam menjawab soal secara tertulis, sedangkan siswa perempuan memiliki kemampuan yang baik dalam menyajikan jawaban secara lisan atauverbal.Kata kunci: kemampuan komunikasi matematis, transformasi geometri, gender.Abstract — Mathematical communication skills are a person's ability to use mathematical terms to express their thoughts systematically both spoken and written. Mathematical communication skills can be seen from the ability of students to solve mathematic problems and the ability to communicate the results to others. Knowledge of geometric transformations plays an important role in the development of student’s mathematics in school because it can build spatial abilities, reasoning abilities and help students analyze mathematical situations. This study aims to describe written mathematical communication skills in solvinggeometric transformation problems in terms of gender. This type of research is a qualitative research with a descriptive approach. The subjects of this study are two male students and two female students in one of senior high school in Mojokerto because this study describes how mathematical communication skills are showed by male and female students. The results showed that (1) Male students' mathematical communication skills are superior to female students in the ability to present information and in the ability to use logical and systematic mathematical language in the problem solving process. Meanwhile, the abilityto use mathematical representations in expressing mathematical ideas to solve geometric transformation problems, male and female students have the same abilities. (2) Male students are more able to solve geometric transformation problems more precisely than female students. (3) Male students are superior inanswering questions in writing, while female students have good abilities in present the answer orally or verbally.Keywords: mathematical communication skills, problem solving, gender.

Certifying optimality for convex quantum channel optimization problems

We identify necessary and sufficient conditions for a quantum channel to be optimal for any convex optimization problem in which the optimization is taken over the set of all quantum channels of a fixed size. Optimality conditions for convex optimization problems over the set of all quantum measurements of a given system having a fixed number of measurement outcomes are obtained as a special case. In the case of linear objective functions for measurement optimization problems, our conditions reduce to the well-known Holevo-Yuen-Kennedy-Lax measurement optimality conditions. We illustrate how our conditions can be applied to various state transformation problems having non-linear objective functions based on the fidelity, trace distance, and quantum relative entropy.

ANALISIS KETERAMPILAN GEOMETRI SISWA DALAM MENYELESAIKAN MASALAH TRANSFORMASI DAN KESEBANGUNAN GEOMETRI RUMAH ADAT OSING

This research aims to determine the geometry ability of class XI students in solving transformation problems and geometric building problems of the Osingese traditional house. The subjects of this study were 6 students of class XI MIPA 4 SMAN 1 Tegaldlimo. Students are given questions of geometric transformation skills and geometric building problems tests, followed by interviews. This type of research is a qualitative descriptive study. The results obtained in the transformation of skills are students with high math scores first have all skills, students with low math scores first have all skills except applied skills, students with medium mathematics scores first only have drawing skills and applied skills, and students with moderate math scores second and second low math score students only have drawing skills. As for geometric building problem skills, almost all students have all skills. The second moderate math score students and first low math students had all skills except, applied skills.

Digitalization of the Russian Federation’s economy in the context of global transformation: problems and development prospects

The article examines the problems and prospects for the development of the digital economy of the Russian Federation in the context of global transformation. It is obvious that the use of digital technologies in the economic sphere is one of the key indicators of the development of a modern state. The processes of introducing digital technologies are accompanied by technological, economic and legal problems, the solution of which requires government intervention. These circumstances determine the relevance of this study. The purpose of the study is to analyze the problems and assess the prospects for the development of digitalization of the Russian economy, as well as develop recommendations for increasing the efficiency of digitalization of the Russian economy and accelerating the pace of implementation of digital technologies, which will contribute to increasing the competitiveness of the Russian Federation in the world community. The process of digitalization of the economy depends on many factors, the analysis of which will determine the prospects for further development.