Mathematics in Education, Research and Applications最新文献

{"title":"Nonparametric distribution of the daylight factor","authors":"D. Páleš, M. Balková","doi":"10.15414/meraa.2019.05.01.1-8","DOIUrl":"https://doi.org/10.15414/meraa.2019.05.01.1-8","url":null,"abstract":"Kernel density estimation (KDE) approximates the distribution of statistical data similar to the histogram. The histogram of data is a special kind of the Kernel density. In the reconstructed building of stall in Oponice (Slovakia), we measured the values of daylight factor. The obtained data proved a bimodal distribution, so it was not appropriate to use some of the usual parametric distributions. This paper describes how Kernel density can be applied to measured results. We find out the values of the cumulative distribution function of such density, by probability procedures, that serves us comparison with the prescribed values of the daylight factor in the standard, on the one hand for animals (1.0%) and on the other hand for the people (1.5%) who care for animals. The results obtained from the measurements and the same ones approximated by KDE are in good agreement.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123528871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Assessment of temperature parameters in the heated and unheated part of the hall object","authors":"T. Szabóová, I. Karandušovská, M. Balková","doi":"10.15414/MERAA.2018.04.02.75-82","DOIUrl":"https://doi.org/10.15414/MERAA.2018.04.02.75-82","url":null,"abstract":"The article is aimed at the assessment of the temperature of the indoor environment in the heated and unheated part of the mechanic-repair hall object. Examined hall was provisionally separating by PVC hinge in the middle (dividing the hall into a heated and unheated part), with a view to reducing the cost of heating it, which was provided by two hot air heaters. In the paper, we assessed the effect of the PVC hinge to the temperature of the indoor environment. The measurements were carried out during winter temperature extremes. In the monitored hall, the surface temperatures of the floor construction were permanently recorded in 5 minute intervals during 24 hours with the surface temperature detector DT 10 and the air temperatures by the Dataloggers Comet and then there were statistically evaluated their interdependencies. By regression analysis it was detected a significant dependence between air temperature and floor temperature at all three measuring points F1 F3 (P < 0.05), in the heated part of the hall. The degree of dependence R was between 0.68 and 0.87. Similarly, it was also assessed an unheated part of the hall, where regression analysis of the results showed that there is very high dependence (P < 0.05) between the air temperature and the floor temperature at the measuring points F4 and F5 what is also evident from the time course of the recorded temperatures. The degree of dependence R was between 0.86 and 0.92. There were statistically compared the temperatures of the air in the heated and unheated part using the Tukey HSD test, where statistically significant differences were found, which was also confirmed by statistical analysis of F-test (P < 0.05). By measuring the internal air temperature, it was found that the critical point of heat leakage was the uninsulated sheet metal gate, where the lowest temperatures from -2.5 to 5 °C were measured. Due to large heat losses, the entrance gates were also separated from the heated part of the hall with PVC tarpaulin. For this reason, we focused on this part of the hall in which we statistically assessed the internal air temperature in the heated and unheated part of the hall at the entrance gates, where there were found significant differences from the statistical analysis of F-test and also by the Tukey HSD test (P < 0.05). In the part at the entrance gates the PVC curtain prevented a large leakage of heat. In the heated part of the hall, where was reached more stable temperature, were not recorded extreme values, as opposed to the unheated part of the hall, where occurred relatively high temperature fluctuations. Based on the results it was detected significant effect of PVC curtain on the temperature course in the hall.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130585014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Comparison of daylighting in the original and reconstructed housing buildings","authors":"M. Balková, T. Szabóová, D. Páleš","doi":"10.15414/meraa.2018.04.02.67-74","DOIUrl":"https://doi.org/10.15414/meraa.2018.04.02.67-74","url":null,"abstract":"The contribution is aimed at the comparison of daylighting in the original and reconstructed housing buildings. On the basis of the measurements of daylighting we calculated the values of the daylight factor in both stables. The distribution of the measuring points in the stables was different. In the original stable were two rows of measuring points, in the reconstructed stable were four rows of measuring points. The course of lighting at the measuring points was shown in program Excel using graphs. The values of the daylight factor were compared in each row in both stables using Scheffe′s test (ANOVA) and box-plot. The results show that lighting in the reconstructed building has increased significantly. The statistical analysis of the results showed that significant difference is not between the rows in which the illuminance measured (P > 0.05) in spite of assumption the lighting under the skylight will certainly be higher. This is caused especially inappropriately selected measuring points. There are in reconstructed stable significant differences in illuminance between the rows, that were under the skylight and rows that were located near the open side walls (P < 0.05). Daylighting is significantly higher under the skylight (P > 0.05).","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130488657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Quantitative tools of municipal financial resources assessment","authors":"D. Országhová, V. Papcunová, Radomíra Hornyák Gregáňová","doi":"10.15414/MERAA.2018.04.02.88-92","DOIUrl":"https://doi.org/10.15414/MERAA.2018.04.02.88-92","url":null,"abstract":"","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121352789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Students’ mathematical competences and exam results","authors":"Vladimír Matušek","doi":"10.15414/meraa.2018.04.02.60-66","DOIUrl":"https://doi.org/10.15414/meraa.2018.04.02.60-66","url":null,"abstract":"In the paper we focus on the most common logical errors in the mathematical thinking of students at the Slovak University of Agriculture in Nitra. Error analysis was based on student tests. The tasks in the tests were focused on the use of basic issues related to functions taught at the Faculty of Engineering, Slovak University of Agriculture in Nitra (SUA). The main hypothesis was that students ́ results are better at final exams than at mid-term tests taken during the term. In formulating the main research hypothesis, we relied on the theoretical knowledge of the issue and the experience based on our own teaching. Pedagogical experiment was conducted in two groups. We compared the results of mid-term tests taken during the term with final exams in certain subjects to see whether the differences between study outcomes of students were significant.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"42 1-4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114019460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Financial and insurance mathematics in practice from students´ point of view","authors":"Radomíra Hornyák Gregáňová, M. Pietriková, Norbert Kecskés","doi":"10.15414/MERAA.2018.04.02.83-87","DOIUrl":"https://doi.org/10.15414/MERAA.2018.04.02.83-87","url":null,"abstract":"The general theoretical knowledge is provided to students in the bachelor's study programs and courses in educational system at the Slovak universities. Basic knowledge of higher mathematics students obtain by passing the compulsory subjects “Mathematics IA” and “Mathematics IB” in the 1st year of bachelor's degree. Practical and applied knowledge students obtain by passing the optional subject “Financial and Insurance Mathematics” in the 3rd year of bachelor's degree. The paper deals with questionnaire survey which was conducted in subject “Financial and Insurance Mathematics” taught at the Faculty of Economics and Management of the Slovak University of Agriculture in Nitra. The aim of statistical analysis is Financial and Insurance Mathematics in practice from full-time and parttime students ́ point of view. The subject of the analysis was the answers of students in the academic years 2016/17 and 2017/18. Responses were obtained by completing a short questionnaire aimed at identifying a general overview of students in this field. The basic methods of the descriptive statistics and hypotheses testing were utilized in the assessment of the survey results. The existence of the statistically significant relations among the acquired assessments was verified by means of the χ2–test. In case of dependence confirmation the intensity of assessed dependence was determined. The conducted questionnaire survey confirmed the existence of statistically significant differences between the answers of the students of the full-time and part-time study.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134085934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The universal solution of equations of balance of the transversely isotropic plate with initial stresses with slippery strength of the flat borders","authors":"O. Strigina, I. Khoma","doi":"10.15414/meraa.2019.05.02.61-68","DOIUrl":"https://doi.org/10.15414/meraa.2019.05.02.61-68","url":null,"abstract":"The topic of this paper is concentrated on the problem of mechanics of a deformed solid. In the first part we solved equilibrium equations of a transversal isotropic plate with initial stresses under mixed conditions on planar faces where we applied the method of decomposition of the sought functions into Fourier series by Legendre polynomials. Normal displacement and tangent voltage were assumed to be zero. In the second part we proposed a method of representing the general analytical solution of the obtained equilibrium equations.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134121693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Knowledge of mathematics at the Slovak University of Agriculture in Nitra in the context of history of planar curves","authors":"Helena Baraníková, J. Horváthová","doi":"10.15414/meraa.2019.05.02.69-77","DOIUrl":"https://doi.org/10.15414/meraa.2019.05.02.69-77","url":null,"abstract":"The geometric visualization has been present in the different forms from the earliest recorded time all around us. In our paper we deal with the planar curves, which are an inseparable part of Mathematics, and they are applicable in the everyday practical life. The visualization programs require a user ́s experience and skills to know also some significant properties of the planar curves. As there are many types of the planar curves, in the first part we concentrate our attention on the selected groups, which are characterized by the parametric expression. The selected curves can serve as a visual aid in the process of teaching about planar curves and their properties. The second objective of the paper is the analysis of the entrance test of Mathematics. We decided to compare the results of the entrance test in the academic year 2018/2019 and detect if the significant differences exist between the results in the particular study groups. The selection file was represented by the students of the study programs in the first year of study at the bachelor ́s degree at the Faculty of Economics and Management of the Slovak University of Agriculture in Nitra. We used the methods of descriptive statistics and statistical hypotheses testing in order to analyze the empiric data.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115361104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Development and prospects of Stewart’s theorem research","authors":"O. Melnichenko, Uliana Revytska","doi":"10.15414/meraa.2019.05.02.53-60","DOIUrl":"https://doi.org/10.15414/meraa.2019.05.02.53-60","url":null,"abstract":"This paper is devoted to the study of Stewart's theorem, its consequences, development and prospects of research of the theorem under consideration. The paper focuses on the Diophantine equations and their relation to the Stewart’s theorem. The problem of determination of integer solutions of the Diophantine equations was considered, and some modern researches of the Stewart’s theorem are presented from the point of view of finding integer solutions of it, which are related to the first and second order Diophantine equations. The wellknown integer solutions of the Stewart’s theorem, and the definitions, which have been formulated in the form of a table, are presented in this paper. Some practical applications of the Stewart’s theorem focused on computing the length of a segment, that connects the vertex of a triangle with its inner point, are relevant in the area of logistics, management and designing.","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116039594","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}