• Title/Summary/Keyword: Integral

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In Newton's proof of the inverse square law, geometric limit analysis and Educational discussion (Newton의 역제곱 법칙 증명에서 기하학적 극한 분석 및 교육적 시사점)

  • Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.24 no.2
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    • pp.173-190
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    • 2021
  • This study analyzed the proof of the inverse square law, which is said to be the core of Newton's , in relation to the geometric limit. Newton, conscious of the debate over infinitely small, solved the dynamics problem with the traditional Euclid geometry. Newton reduced mechanics to a problem of geometry by expressing force, time, and the degree of inertia orbital deviation as a geometric line segment. Newton was able to take Euclid's geometry to a new level encompassing dynamics, especially by introducing geometric limits such as parabolic approximation, polygon approximation, and the limit of the ratio of the line segments. Based on this analysis, we proposed to use Newton's geometric limit as a tool to show the usefulness of mathematics, and to use it as a means to break the conventional notion that the area of the curve can only be obtained using the definite integral. In addition, to help the desirable use of geometric limits in school mathematics, we suggested the following efforts are required. It is necessary to emphasize the expansion of equivalence in the micro-world, use some questions that lead to use as heuristics, and help to recognize that the approach of ratio is useful for grasping the equivalence of line segments in the micro-world.

A Study on Chinese poetry of Myeongam Jeong-Sik (명암(明庵) 정식(鄭栻)의 한시(漢詩) 연구(硏究))

  • Jeong, Si-youl
    • (The)Study of the Eastern Classic
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    • no.33
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    • pp.159-191
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    • 2008
  • This study aims to look into the three-dimensional characteristics of Euniljisa (a scholar who lived in a hidden place) demonstrated in the poems of Myeongam Jeong-Sik (1683-1746, the 9th year of King Sukjong to the 22nd year of King Yeongjo), who was a scholar in the region of Yeongnam in the 18th century. Myeongam Jeongsik had a very righteous aspect in terms of integrity. He was born about 40 years after the Ching Dynasty was established. However, as shown in his pen name of 'Myeongam', he still used the Ming Dynasty as a subject of adoration and reverence, and he lived as an integral man of scholarly virtue in seclusion while refusing to have a government post during his lifetime. In his poems, there may be various discussions, but this study focused on following two aspects. First, the study reviewed his attitude toward the world, that is a retiring attitude, in looking into his works. Second, the study did not merely keep the existing two-dimensional perspective in simply reviewing a hermitage poem in the analyzing of a poem. Instead, the study attempted a three-dimensional review in seeking to see whether three items involving the fidelity and integrity of a dignified and daring person (a person who does not care about worldly views), the ambivalent emotion of Jo Wul reflected in the poem, and the delicate description and the expression of emotions, are placed in a serial relationship.

The Comparative Study on the Cosmic Life as the Inter-Relational Metaphor of the Ultimate Reality in East and West (서양의 영(Spirit)과 동양의 기철학과의 대화 : 내적 관계성의 메타포와 우주적 생명을 중심으로)

  • Shin, Eun Hee
    • (The)Study of the Eastern Classic
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    • no.32
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    • pp.245-278
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    • 2008
  • The purpose of this paper is to create an inter-religious dialogue between the Western Christian concept of the spirit and Eastern ch'i philosophy within the category of panentheism. The Hebrew term ruah means 'moving air' and 'wind' which derive from the particular experience of the ancient Hebrew people living in the desert. The Greek pnuema also means 'life' and 'wind' which denote the natural power. Both ruah and pneuma consist of the main idea of the spirit exploring the symbol of relationality of the divine in Western tradition. Eastern ch'i philosophy indicates a vital force for keeping the body and soul alive, which is unconscious and spontaneous. Ch'i as a vital force constitutes cosmogony and cosmology with the constant movement of yin and yang. Yin and Yang as representing earth and heaven are dynamic breaths, blending harmoniously to become all existence. The ethical implication of the inter-religious dialogue between the spirit and ch'i would be the integration and interconnection of heaven, earth, and human beings. The dialogue suggests becoming one body with nature and human community through embodying the non-dualistic spirit of life. The inter-relationality means that since all modalities of existence are made of the cosmic life, human beings are part of the divine cosmic process. This is related to degree of spirituality in the entire chain of being: rocks, trees, animals, humans, and goods represent different levels of spirituality based on the varying composition of the spirit and ch'i. All beings that internally embody with the spirit and ch'i are organically inter-connected, and they are integral part of a continuous process of transformation of life towards holistic liberation of human and nature community.

Analysis of Ground-Motion Characteristics of the 2004 Offshore Uljin Earthquake through Atmospheric Infrasound Observation (인프라사운드 관측을 통한 2004년 울진해역지진의 지반운동 특성 분석)

  • Che, Il-Young;Yun, Yeo-Woong;Lim, In Seub
    • Journal of the Korean earth science society
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    • v.41 no.6
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    • pp.647-657
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    • 2020
  • Infrasound signals associated with the 29 May 2004 offshore Uljin earthquake (Mw 5.1) were recorded at infrasound arrays of CHNAR (epicentral distance of 321 km) and TJNAR (256 km). Back-azimuths, indicating the directions to source locations, varied more than 28° broadly for the long-lasting signals over several minutes. From the analysis of the back-projecting location method and attenuation correction for infrasound propagation, the infrasound waves were to be generated by the interaction (diffraction) between seismic waves and topography in an area of ~4,600 ㎢ connecting the Samcheok-Uljin-Pohang regions. The maximum sound source pressure (BSP) was estimated to be 11.1 Pa. This result was consistent with the peak sound pressure (PSP) calculated by the Rayleigh integral approximation to the peak ground acceleration (PGA) dataset. In addition, the minimum PGA that was detectable at the two arrays was estimated to be ~3.0 cm s-2. Although the earthquake occurred offshore, diffracted infrasound signals were effectively generated by ground motions when seismic surface waves passed through high-topographic regions in the eastern Korean Peninsula. The relationship between infrasound source pressure and PGA can be applicable to characterize the ground motions in areas with insufficient seismological observatories.

Use of Multimedia Technologies in the Training of Physical Culture and Sports Specialists

  • Shevchenko, Olha;Bahinska, Olha;Markova, Olena;Broiakovskyi, Oleksandr;Bielkova, Tetyana;Honcharenko, Ivan;Bida, Olena
    • International Journal of Computer Science & Network Security
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    • v.22 no.7
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    • pp.245-251
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    • 2022
  • Educational reform in Ukraine encourages the use of multimedia technologies in the training of specialists in Physical Education and Sports, which is one of the promising directions of education development. Therefore, the article specifies the content of the terms "innovation" and "technology". For modern society, the introduction of multimedia technologies in education is not so much theoretical as pragmatic, since under condition of globalization it concerns its historical development and prospects associated with the so-called "high technologies".Our goal is to improve the training of Physical Education and Sports specialists by means of multimedia technologies. All of innovative technologies can be divided into four groups, depending on the appropriate form of educational activity for their use. The development of multimedia technologies in the training of specialists in Physical Education and Sport at the present stage of education development should be carried out in accordance with the criteria of manufacturability, which are presented in the article: scientism, to rely on the theoretical provisions of pedagogical science and methods of teaching the discipline, socially recognized educational goals, prospects for modernization of Education; consistency, which provides for the interaction of parts and the whole in the organization of the study environment, as a result of which the physical development of the young generation is an integral entity; guarantee, that is, the error between the planned and obtained results should be minimal; manageability, that is, full management of the stages of work of the teacher and students, which make up the completed cycle of actions; mass participation, for the purpose of applying the technology does not depend on the physical training of students, the pedagogical skill of the teacher and the type of educational institutions. The article presents the theory and method of organizing sports events and circuses in the training of specialists in Physical Education and Sports by means of multimedia technologies. In order to increase the level of physical development of a person, physical fitness and the state of health of students, which has a clear trend to constant deterioration, it is necessary to instill love for sports, carry out high-quality training and organize sports events using multimedia technologies. In the process of sports activities, the participants' mental education is carried out. There are two types of communication here: direct and indirect, which are described in the article.In games and sports competitions, there are many opportunities for forming rules of collective behavior. The main issues of the organization of sports activities by means of multimedia technologies have been clarified. During sports competitions, the tasks presented in Physical Education and sports classes are improved, which ensure the improvement of physical and theoretical training of the individual. The pleasure of sports, bright, emotional spectacles, confirmed by multimedia technologies, arises from the participation of the viewer in them.

Increased Antioxidants of Agastache rugosa by the Night Interruption Time (야파(night interruption)처리에 의한 배초향의 항산화 물질 증가)

  • Kim, Sungjin;Noh, Seungwon;Park, Jongseok
    • Journal of Bio-Environment Control
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    • v.31 no.4
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    • pp.319-324
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    • 2022
  • The objective of this study was to determine the proper night interruption of photoperiods and dark periods for accumulating bioactive compounds of Agastache rugosa without decreasing plant growth. Five-week-old seedlings were transplanted in a DFT system with white LEDs. A. rugosa was treated with night interruption time treatments of 18:1:2:3, 18:2:2:2, 18:3:2:1 (light:dark:light:dark), and 20:4 (control) for 4 weeks. There were no significant differences except for leaf length, leaf width, and the number of flowers. The content of antioxidants in the shoot of A. rugosa was high in tilianin and acacetin, and the content of rosmarinic acid (RA) was significantly higher in the underground part. The RA content per dry weight of A. rugosa was 47.92 and 51.46% higher than that of the control in 18:1:2:3 and 18:2:2:2, and tilianin and acactin per dry weight were significantly higher in 18:3:2:1. There was no significant difference in growth due to the same day light integral, but 18:2:2:2 showed high total polyphenol contents. Therefore, it is thought that the effect of increasing secondary metabolites of A. rugosa without degradation of growth can be expected through night interruption treatment in plant factory cultivation systems using artificial light.

A Conceptual Study on Blockchain Technology-based STO Platform Creation for Ship Finance (블록체인 기술을 활용한 선박금융 STO 플랫폼 구축에 대한 연구)

  • Ahn, Soon-Goo;Yun, Hee-Sung
    • Journal of Korea Port Economic Association
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    • v.38 no.1
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    • pp.31-47
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    • 2022
  • While the ship finance industry has long been struggling with diminishing involvements from the private sector, government-run banks have consistently increased their presence in maritime finance. To address such concerns, this research conceptually explores the creation of blockchain technology-driven security token offering (STO) platforms. To suggest a sound platform model, this piece first examines key design principles. Based on the integral perspective on the digital platform, this paper exhibits three core design principles to create a virtuous platform ecosystem, then sets out STO platform design guidelines. This paper further explores an STO platform model by considering conventional ship finance systems and practices in Korea. The STO platform has three main effects; 1) the wider availability of STOs can enlarge both the scope and size of ship finance users, 2) the activation of security token transactions leads to an increase in participation, and 3) possibilities to create complementary innovative financial services can further encourage the participation of private investors. The STO ecosystem may contribute to the shipping, shipbuilding, and ship finance industries by enhancing its attractiveness to the general public and by creating positive externalities for Busan as a maritime finance center.

Numerical comparative investigation on blade tip vortex cavitation and cavitation noise of underwater propeller with compressible and incompressible flow solvers (압축성과 비압축성 유동해석에 따른 수중 추진기 날개 끝 와류공동과 공동소음에 대한 수치비교 연구)

  • Ha, Junbeom;Ku, Garam;Cho, Junghoon;Cheong, Cheolung;Seol, Hanshin
    • The Journal of the Acoustical Society of Korea
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    • v.40 no.4
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    • pp.261-269
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    • 2021
  • Without any validation of the incompressible assumption, most of previous studies on cavitation flow and its noise have utilized numerical methods based on the incompressible Reynolds Average Navier-Stokes (RANS) equations because of advantage of its efficiency. In this study, to investigate the effects of the flow compressibility on the Tip Vortex Cavitation (TVC) flow and noise, both the incompressible and compressible simulations are performed to simulate the TVC flow, and the Ffowcs Williams and Hawkings (FW-H) integral equation is utilized to predict the TVC noise. The DARPA Suboff submarine body with an underwater propeller of a skew angle of 17 degree is targeted to account for the effects of upstream disturbance. The computation domain is set to be same as the test-section of the large cavitation tunnel in Korea Research Institute of Ships and Ocean Engineering to compare the prediction results with the measured ones. To predict the TVC accurately, the Delayed Detached Eddy Simulation (DDES) technique is used in combination with the adaptive grid techniques. The acoustic spectrum obtained using the compressible flow solver shows closer agreement with the measured one.

Active Front End Rectifier Control of DC Distribution System Using Neural Network (신경회로망을 적용한 직류배전시스템의 AFE 정류기 제어에 관한 연구)

  • Kim, Seongwan;Jeon, Hyeonmin;Kim, Jongsu
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.7
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    • pp.1124-1128
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    • 2021
  • As regulations of emissions from ships become more stringent, electric propulsion systems have been increasingly used to solve this problem in vessels ranging from large merchant ships to small and medium-sized ships. Methods for improving the efficiency of the electric propulsion system include the improvement of power sources; the use of a system linked to environmentally friendly power sources, such as batteries, fuel cells, and solar power; and the development of hardware and control methodology for rectifiers, power conversion devices, and propulsion motors. The method using a phase-shifting transformer with diodes has been widely used for rectification. Power semiconductor devices with grid connection to an environmentally friendly power source using DC distribution, a variable speed power source, and the application of small and medium-sized electric propulsion systems have been developed. Accordingly, the demand for active front-end (AFE) rectifiers is increasing. In this study, a method using a neural network rather than a conventional proportional-integral controller was proposed to control the AFE rectifier. Tested controller data were used to design a neural network controller trained through MATLAB/Simulink. The neural network controller was applied to a rectification system designed using PSIM software. The results indicated the effectiveness of improving the waveform and power factor DC output stage according to the load variation. The proposed system can be applied as a rectification system for small and medium-sized environmentally friendly ships.

The Role of Fundamentalization of Education in Improving the Future Specialists Professional Training with Usage of Multimedia Technologies

  • Palshkov, Kostiantyn;Kochubei, Olena;Tsokur, Olga;Tiahur, Vasyl;Tiahur, Liubomyra;Filimonova, Tetiana;Kuzminskyi, Anatolii
    • International Journal of Computer Science & Network Security
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    • v.22 no.9
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    • pp.95-102
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    • 2022
  • The article considers the fundamentalization of education in improving the future specialists professional training with usage of multimedia technologies by various scientists. Various points of view and approaches to defining the concepts of fundamentalization of education and multimedia technologies are identified. The concept of fundamentalization of professional training of a future specialist is based on the goals and functions of fundamentalization and - on the ways and means of achieving it, etc. Most authors agree only in their views that the fundamentalization of education is aimed at improving the quality of education and the education of the individual. Others involve the formation of a culture and worldview, increasing the creative and intellectual potential, forming the professional competence of a specialist and the potential for further education, and so on. The term multimedia refers to interactive systems that provide processing of moving and still video images, animated graphics, high-quality audio and speech. It is found out that professional training of a specialist by means of multimedia technologies includes not only the activities of the teacher and student, which form the learning process, but also the independent activity of the subject, self-development, assimilation of experience by the subject through analysis, comprehension and transformation of the field of activity in which he is included. It is revealed through the implementation of which approaches to the fundamentalization of higher professional education, it becomes possible to fully present theoretical training courses and effectively pass practical training by students, which contributes to improving the quality of training of future specialists in higher education institutions. Theoretical analysis of scientific views indicates a fairly serious attention of scientists to the problem of professional readiness of specialists and the possibility of higher educational institutions in preparing for it. At the same time, professional readiness is considered from different positions: as an active state of a person, which manifests itself in activity; as a result of activity; as goals of activity; as a quality that characterizes the attitude to solving professional problems and social situations; as a prerequisite for purposeful activity; as a form of activity of the subject; as an integral formation of personality; as a component of socio-professional culture; as a complex professionally significant neoplasm of the individual.