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  • Research Article
  • 10.15414/meraa.2025.11.01.9-17
Decompositions of 1⁄n into sums and differences of reciprocals of the forms 2⁄a and 3⁄b
  • Dec 1, 2025
  • Mathematics in Education, Research and Applications
  • Radovan Potůček

  • Research Article
  • 10.15414/meraa.2025.11.01.18-30
Long-term trends in interest in studying at the Faculty of Economics and Management of the Slovak University of Agriculture in Nitra
  • Dec 1, 2025
  • Mathematics in Education, Research and Applications
  • Tomáš Pechočiak + 1 more

  • Research Article
  • 10.15414/meraa.2025.11.01.31-38
Exploring consumer behavior in sustainable food choices: a quantitative approach to generational differences and online marketing factors
  • Dec 1, 2025
  • Mathematics in Education, Research and Applications
  • Lea Rubínová + 1 more

  • Research Article
  • 10.15414/meraa.2025.11.01.1-8
Complex numbers with new definitions of imaginary base numbers
  • Dec 1, 2025
  • Mathematics in Education, Research and Applications
  • Mehmet Pakdemirli

  • Open Access Icon
  • Research Article
  • 10.15414/meraa.2024.10.02.48-53
Development of profitability in small and medium-sized wineries in Slovakia
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Vladimír Matušek + 1 more

Winemaking has a long tradition in Slovakia, but wineries face many challenges today. In 2021, Slovakia had 692 wine-and wine-based producers and 260 traders dealing with wine products. Profit is a key indicator of successful business performance, representing the difference between revenues and costs. It fulfils various functions, including evaluative, distributive, motivational, and developmental roles. The primary aim of this study is to evaluate the development of profitability in a selected group of wineries in Slovakia during the period 2013-2021. A total of 107 wineries were categorized into micro, small, and medium-sized enterprises, with an analysis of their cost, revenue, and profitability trends from economic activities. Medium-sized wineries consistently reported higher revenues than costs from economic activities each year, resulting in a profit from operations. In contrast, micro-wineries recorded a loss from operations throughout the analyzed period.

  • Research Article
  • 10.15414/meraa.2024.10.01.9-16
Comparison of the employment rate in the sports sector of the Slovak Republic, the Czech Republic and the EU average
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Michaela Šišková + 1 more

Sport plays an important role in society mainly for its health and social benefits. The essence of sport also lies in its great influence on society in areas such as politics and economics. If we look into the past, the Olympic Games themselves were organized with the aim of meeting the individual states of ancient Greece and solving political issues and strengthening friendly relations. Sport also has an impact on the economic situation of the country, as it directly participates in the creation of GDP and creates job opportunities within the sports sector and indirectly through reduced health care costs, which is caused by an active and healthy lifestyle. The purpose of this paper was, based on the analysis, to forecast the employment rate in the sports sector in the Slovak Republic, the Czech Republic and the EU average. We applied Box-Jenkins methodology, ARIMA models, performed in R. Following the study's results, the analysis revealed significant disparities in employment rates within the sports sector across countries. Slovakia recorded one of the lowest rates in 2023, while the Czech Republic performed slightly better but remained below the EU average. Based on the forecast, employment rates in Slovakia and the Czech Republic are expected to fluctuate between 2024 and 2026, although still remaining below the overall EU average. The EU average is expected to increase.

  • Research Article
  • 10.15414/meraa.2024.10.01.17-26
Co-location of foodservice facilities and farms as a determinant of alternative food networks in Slovakia
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Lucia Laginová + 1 more

In recent years, consumers have begun to question the global agri-food system and short food supply chains are becoming increasingly popular. The article aimed to uncover co-location patterns between foodservice facilities and agricultural producers in Slovakia to identify potential for short food supply chains. Additionally, we demonstrated spatial autocorrelation tools by localizing spatial clusters and outliers using the local Moran's index, using multiple spatial weights and spatial levels. The analysis reveals distinct patterns: high-high clusters, indicating areas with high concentrations of both foodservice facilities and farms, are predominantly located in regions with significant agricultural activity, such as central and southern Slovakia. Conversely, lowlow clusters and spatial outliers are observed in major urban centers like Bratislava and Košice and industrial regions in the north.

  • Open Access Icon
  • Research Article
  • 10.15414/meraa.2024.10.02.54-63
Modelling the impact of loan repayment deferrals on the amount of farm interest costs during the COVID-19 pandemic
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Tomáš Rábek + 2 more

During the years 2020-2022, the world was dominated by the Covid-19 pandemic. Companies, as well as the population, felt financial difficulties due to the pandemic, and therefore they were forced to accept help from the banks. Central banks, as well as commercial banks, tried to introduce as many measures as possible to help clients, as they realized that client's problems could easily be transferred to the banking sector, which is very sensitive to credit risk. These measures concerned the agricultural sector, too. However, some measures taken by the banks brought additional financial costs to the farms, which the farms were often unaware of. Therefore, the main goal of this article is the valuation of selected measure in the banking sector to mitigate the negative effects during the COVID-19 pandemic crisis, with a focus on modelling the impact of loan repayment deferrals on the amount of farm interest costs. We developed an initial model to assess the effects of deferring loan repayments on farm interest expenses, from which we generated four distinct loan repayment variations. Variant III emerged as the most beneficial option, wherein the deferral of loan repayments was solicited after 15 years of repayment, corresponding to the completion of 75% of the payback period, without extending the loan repayment duration. The results show generally that the most unfavourable deferment of loan repayments was for farms that were at the beginning of repaying their loans and at the same time requested an extension of the loan maturity period.

  • Open Access Icon
  • Research Article
  • 10.15414/meraa.2024.10.02.64-71
Competences development in financial mathematics at the secondary technical school: case study
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Dana Országhová + 1 more

The need to educate students about finance and financial operations is a frequently discussed topic in today's society. How to manage money, create savings or invest it that is the important educational basis for students during school education. At secondary technical schools, the mentioned issue of financial mathematics has specified content with appropriate number of teaching hours within the study subject Mathematics. Main aim of this paper was the analysis of students' knowledge from the topics of Financial Mathematics. In the contribution, it is presented an analysis of the point score in solving tasks on Financial Mathematics. The research group consisted of students of the 1st year at the secondary technical school in the school years 2021/2022 and 2022/2023. The analysis was processed using descriptive statistics and the Mann-Whitney U Test. Conclusions showed statistically significant differences in the point scores between students in relation to students' gender and according to the school year. Nevertheless, students confirmed very good level of knowledge in financial topics. Mastering the basics of financial mathematics concerns all students at secondary schools, so that they could properly handle financial resources in practical cases.

  • Research Article
  • 10.15414/meraa.2024.10.01.27-33
Knowledge and skills in mathematics among 1st year students at the Faculty of Economics and Management SUA in Nitra
  • Dec 31, 2024
  • Mathematics in Education, Research and Applications
  • Tomáš Pechočiak

In our paper we evaluate the level of mathematical knowledge and skills of students of the Faculty of Economics and Management of the Slovak University of Agriculture in Nitra in the winter semester of the school year 2023/2024. The students wrote 4 homework and 1 school paper evaluated with 55 points, of which at least 30 points were needed to obtain credit. The final exam paper worth 50 points was written in person on the campus of our university. They needed to have a total of at least 64 points so obtained to obtain an overall grade in Mathematics I A. Out of a total of 105 points, students scored an average of 75, which is only 71.5%. Only 73.13% and 80.33% of those who started and completed the semester, respectively, successfully completed the course and obtained a grade in the Mathematics I A examination. The evaluation of the obtained data was done by the method of mathematical descriptive statistics. We calculated the mean scores of the individual components and the total scores obtained by the students and entered these in a table. We also calculated correlation coefficients, with the help of which we found out whether if a student masters one subject unit it will affect the learning of another. It is probably logical that students scored more points for homework than for work written at school.