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Teaching Real-Life Applications of Exponential Functions to Undergraduate Students Majoring in Science 向理科本科生传授指数函数在现实生活中的应用
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_6
A. Yakunina, Pavel Yakunin
{"title":"Teaching Real-Life Applications of Exponential Functions to Undergraduate Students Majoring in Science","authors":"A. Yakunina, Pavel Yakunin","doi":"10.32370/ia_2024_02_6","DOIUrl":"https://doi.org/10.32370/ia_2024_02_6","url":null,"abstract":"The paper is dedicated to the problem of optimization of teaching real-life applications of exponential functions at undergraduate level (as a part of Pre-Calculus course). The authors’ original method of using real-life problems for teaching exponential functions is presented. Concrete recommendations for increasing effectiveness of teaching exponential functions are given. The paper contains original courseware which was proved to promote deep understanding of the concept of exponential functions in students, as well as their ability to apply this concept to solving real-life problems. All conclusions and recommendations are based on the results of modern research in education and on the authors’ teaching experience. The effectiveness of presented technique was proven in practical teaching at Voorhees University, South Carolina, USA and at Denmark Technical College, South Carolina, USA.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141828378","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}
引用次数: 0
The magnetic moment for pedestrians 行人的磁矩
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_1
Miroslav Pardy
{"title":"The magnetic moment for pedestrians","authors":"Miroslav Pardy","doi":"10.32370/ia_2024_02_1","DOIUrl":"https://doi.org/10.32370/ia_2024_02_1","url":null,"abstract":"The causal arrangement of the two extended emission and detection sources and the photon source is considered. The emission source emits the charged particle and photon. The photon source which is located between emission and detection sources is capable of the transmitting of space-like momenta. The photon propagates undisturbed between emission and detection sources, while the charged particle is rejected by the extended photon source. The result of such process is the modification of the vacuum-to-vacuum amplitude in form of the additional term which can be interpreted as the additional magnetic moment of electron. The derivation is realized with the mathematical simplicity and the Schwinger pedagogical clarity.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829100","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}
引用次数: 0
Determination of the Main Components of the Curvature of the Thread Axis Taking into Account the Deformation of the Section in the Zone of Contact with The Direct 确定螺纹轴曲率的主要组成部分，同时考虑到直接接触区断面的变形
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_4
V. Shcherban’, O. Kolisko, Gennadij Melnyk, Marijna Goldberg, A. Kirichenko, Valerij Kalashnyk
{"title":"Determination of the Main Components of the Curvature of the Thread Axis Taking into Account the Deformation of the Section in the Zone of Contact with The Direct","authors":"V. Shcherban’, O. Kolisko, Gennadij Melnyk, Marijna Goldberg, A. Kirichenko, Valerij Kalashnyk","doi":"10.32370/ia_2024_02_4","DOIUrl":"https://doi.org/10.32370/ia_2024_02_4","url":null,"abstract":"During the research, the main components of the curvature of the axis of the thread were determined, taking into account the deformation of the section in the contact zone with the guide. Irregularity of the geometric dimensions of the cross-section of the thread along the length and the input tension over time significantly affect the value of the tension of the thread after passing through the guide. At the same time, the speed of thread movement is important. When the speed of movement increases, the values of dynamic loads in the zone of interaction of the thread with the cylindrical guide surfaces of large and small curvature, thread guides, increase. The dependences of the output tension of a complex thread or yarn on the radius of curvature of the guide surface of a large curvature are established, taking into account the input tension, the angle of coverage, the type of raw material, the ratio of the radius of the cross section of the thread and the inner radius of the guide, bending stiffness, deformation in the contact zone, nonlinear dependence of the coefficient of friction.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829242","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}
引用次数: 0
Relation Between the Single Orths of a Point on the Axis of the Deformed Thread in the Case of Euler and Lagrange Coordinates 欧拉坐标和拉格朗日坐标情况下变形螺纹轴上一点的单正弦之间的关系
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_3
V. Shcherban’, O. Kolisko, Gennadij Melnyk, Marijna Goldberg, A. Kirichenko, Valerij Kalashnyk
{"title":"Relation Between the Single Orths of a Point on the Axis of the Deformed Thread in the Case of Euler and Lagrange Coordinates","authors":"V. Shcherban’, O. Kolisko, Gennadij Melnyk, Marijna Goldberg, A. Kirichenko, Valerij Kalashnyk","doi":"10.32370/ia_2024_02_3","DOIUrl":"https://doi.org/10.32370/ia_2024_02_3","url":null,"abstract":"The values of the position vectors and unit tangents have been determined by research, defining the positions of points on the axis of the deformed thread using Eulerian and Lagrangian coordinates. The position vector defines the point's position on the line relative to the moving coordinate system. It determines the point's position on the line relative to the stationary coordinate system. Consequently, when the thread is displaced, the point moves to a new position. The new position vector defines the point's position on the line. The displacement vector of the point on the thread axis characterizes the shift of points due to deformation at the thread intersection. This has made it possible to use these theoretical relation at the initial stage of designing the technological process to derive equations for determining thread tension in the fabric and knit forming zone, reduce thread breakage rates, and enhance the quality of the finished products","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829099","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}
引用次数: 0
The Hampton Court Maze and "Three Men in a Boat (to Say Nothing of the Dog)" by Jerome K. Jerome 杰罗姆-K-杰罗姆的《汉普顿宫迷宫》和《船上三人（狗更不用说了
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_7
Lyudmila Pet’ko
{"title":"The Hampton Court Maze and \"Three Men in a Boat (to Say Nothing of the Dog)\" by Jerome K. Jerome","authors":"Lyudmila Pet’ko","doi":"10.32370/ia_2024_02_7","DOIUrl":"https://doi.org/10.32370/ia_2024_02_7","url":null,"abstract":"The author presents the Hampton Court Maze in the way of Tudor’s history studying. The maze remains a hugely popular part of the Hampton Court Palace, which is the oldest surviving hedge maze in the UK and the first to have been planted in the country. It dates back to the end of the 17th century, when it was thought to have been commissioned by William III in his final years as monarch. Hampton Court’s maze became a hit when the gardens were opened to the public in 1838, demonstrating the popularity of multicausal mazes. The Hampton Court Maze designed and planted by garden designers George London and Henry Wise. The palace and gardens are found in Richmond Upon Thames. The author discovers for students this amazing maze in England and loses yourself in some history along the way. Described a tour of three men in a boat by Jerome K. Jerome. Given some movies filmed by English writer Jerome K. Jerome’s humorous novel \"Three Men in a Boat\".","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141829886","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}
引用次数: 0
Aharonov-Bohm experiments in magnetic field without the Landau levels 没有朗道水平的磁场中的阿哈诺夫-玻姆实验
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_2
Miroslav Pardy
{"title":"Aharonov-Bohm experiments in magnetic field without the Landau levels","authors":"Miroslav Pardy","doi":"10.32370/ia_2024_02_2","DOIUrl":"https://doi.org/10.32370/ia_2024_02_2","url":null,"abstract":"We discuss the two-slit experiment and the Aharonov-Bohm (AB) experiment in the magnetic field, where an electron produces so called synchrotron radiation. In other words, the photons are emitted from the points of the electron trajectory and it means that the trajectory of electron is visible in the synchrotron radiation spectrum. The axiomatic system of quantum mechanics does not enable to define the trajectory of the elementary particle. The two-slit experiment and the AB experiment in magnetic field are the missing experiments of quantum mechanics. The extension of the discussion to the cosmical rays moving in the magnetic field of the Saturn magnetosphere and its rings is mentioned. It is related to the probe CASSINI.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141828832","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}
引用次数: 0
Forensic Biological Research (DNA) and General Methodological and Methodical Errors 法医生物研究（DNA）及一般方法和方法错误
Intellectual Archive Pub Date : 2024-07-17 DOI: 10.32370/ia_2024_02_5
L. Kotlyarenko, N. Pavlovska, V. Zherebak, Dina Rusanivska, A. Kofanov
{"title":"Forensic Biological Research (DNA) and General Methodological and Methodical Errors","authors":"L. Kotlyarenko, N. Pavlovska, V. Zherebak, Dina Rusanivska, A. Kofanov","doi":"10.32370/ia_2024_02_5","DOIUrl":"https://doi.org/10.32370/ia_2024_02_5","url":null,"abstract":"The article discusses some applied aspects and features of collecting traces of biological origin and conducting forensic biological research (DNA). A general set of methodological and methodical errors is presented. All expert errors have different origins, but this does not prevent them from being grouped according to stable features. Their detection, classification and elimination are mandatory. In another case, the presence of the considered shortcomings entails the fallacy of conclusions and the fallacy of court decisions. As a result, the criminal remains unpunished.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141828924","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}
引用次数: 0
Compton scattering in dielectric medium 介质中的康普顿散射
Intellectual Archive Pub Date : 2023-12-09 DOI: 10.32370/ia_2023_12_1
Miroslav Pardy
{"title":"Compton scattering in dielectric medium","authors":"Miroslav Pardy","doi":"10.32370/ia_2023_12_1","DOIUrl":"https://doi.org/10.32370/ia_2023_12_1","url":null,"abstract":"We determine the Compton effect from the Volkov solution of the Dirac equation for a process in medium with the index of refraction n. Volkov solution involves the mass shift, or, the mass renormalization of an electron. We determine the modified Compton formula for the considered physical situation. The index of refraction causes that the wave lengths of the scattered photons are shorter for some angles than the wave lengths of the original photons. This is anomalous Compton effect.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":"2 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138585493","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}
引用次数: 0
The Genesis of Opposition and Responsibility for Financial Abuses in Foreign Economic Activity 对外经济活动中财务滥用的反对与责任的起源
Intellectual Archive Pub Date : 2023-12-09 DOI: 10.32370/ia_2023_12_3
N. Pavlovska, A. Myrovska, Liudmyla Fedoriuk, Oleksandr Savyuk, S. Kharchenko
{"title":"The Genesis of Opposition and Responsibility for Financial Abuses in Foreign Economic Activity","authors":"N. Pavlovska, A. Myrovska, Liudmyla Fedoriuk, Oleksandr Savyuk, S. Kharchenko","doi":"10.32370/ia_2023_12_3","DOIUrl":"https://doi.org/10.32370/ia_2023_12_3","url":null,"abstract":"These recommendations are part of what is obviously a much broader and more comprehensive agenda for the continued strengthening of efforts to combat organized crime and corruption in Ukraine. Nevertheless, they represent a carefully considered set of priorities that promise to overcome continued deficiencies while also building on the progress that Ukraine has already made in what will continue to be an enormously tough endeavor. It is as well to keep in mind that the fight against organized crime is typically characterized as much by setbacks as by success, as much by failure and disappointment as triumph and acclaim. Organized crime is like a constantly mutating virus DOI: 10.32370/IA_2023_12_3 that out-maneuvers all efforts to destroy it. If it can be isolated and quarantined and then harm can be limited. Yet even this modest objective is one that is enormously difficult to attain. The initiatives suggested here are certainly no guarantee of success even in harm reduction. Yet without such measures, the only certainty is failure - and the eventual emergence of Ukraine as a state and economy captured and dominated by organized crime. The implementation of a strategy that is comprehensive in scope while highly selective in its targets and priorities offers at least some hope that such an outcome can be avoided.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":"1 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138585901","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}
引用次数: 0
The Features of Leading a Pupil Music Collective in the Context of Artistic Interaction 艺术互动背景下领导学生音乐集体的特点
Intellectual Archive Pub Date : 2023-12-09 DOI: 10.32370/ia_2023_12_7
Qian Long
{"title":"The Features of Leading a Pupil Music Collective in the Context of Artistic Interaction","authors":"Qian Long","doi":"10.32370/ia_2023_12_7","DOIUrl":"https://doi.org/10.32370/ia_2023_12_7","url":null,"abstract":"The article examines the problem of artistic communication as an important factor for the successful management in the work with the pupil art groups. The author proves: joint music-performance activity and dialogic artistic-empathic communication are the basis of collective artistic interaction. A number of pedagogical principles of leading musical groups in the context of productive relationships are proposed: voluntariness, creative activity, children's artistic creativity, positive interdependence, empathy, using playful forms in work, taking into account the age and individual characteristics of each student, availability materials of music, harmonization of all types of artistic activities.","PeriodicalId":217158,"journal":{"name":"Intellectual Archive","volume":"3 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138585907","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}
引用次数: 0
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