• Title/Summary/Keyword: Circle model

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A study on the pedagogical consideration of the related knowledge for teaching 'Approximation' conception (근사개념 지도를 위한 관련 지식의 교수학적 고찰)

  • Chung, Young-Woo;Lee, Mok-Hwa;Kim, Boo-Yoon
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.137-154
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    • 2012
  • Approximation' is one of central conceptions in calculus. A basic conception for explaining 'approximation' is 'tangent', and 'tangent' is a 'line' with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.

Optimal Design of Overlapped Ultrasonic Sensor Ring for High Performance Obstacle Detection Using Effective Beam Overlap (효과적인 빔 폭 중첩을 이용한 고성능 장애물 탐지용 중첩 초음파 센서 링의 최적 설계)

  • Kim, Sung-Bok;Kim, Hyun-Bin
    • Journal of the Institute of Convergence Signal Processing
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    • v.12 no.1
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    • pp.67-75
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    • 2011
  • This paper presents the systematic optimal design of an overlapped ultrasonic sensor ring for high performance obstacle detection using effective beam overlap. Basically, a set of low directivity ultrasonic sensors of the same type are arranged in a circle at regular intervals with their beams overlapped. First, both real and simplified beam patterns of an ultrasonic sensor and several sensor models for obstacle position estimation within its beam pattern are introduced. Second, the obstacle detection range of an overlapped ultrasonic sensor ring and its simple sensor model for obstacle position estimation are described. Third, for both conic and non-conic shaped beam pattern, the design indices of an overlapped ultrasonic sensor ring for minimal positional uncertainty in obstacle detection are defined. Fourth, the constraints imposed on the structural parameters of an overlapped ultrasonic sensor ring to guarantee non empty beam overlap and to avoid excessive beam overlap are derived. Fifth, the optimal number of ultrasonic sensors for a given radius of an overlapped ultrasonic sensor ring and the optimal radius of an overlapped ultrasonic sensor ring are determined. Throughout this paper, the MA40B8 from Murata Inc. is taken as a representative commercial low directivity ultrasonic sensor.

A Practical Algorithm to Simulate Erosion of On-Shore Zone (실용적 해안선 후퇴 반영 알고리즘)

  • Kim, Hyoseob;Lee, Jungsu;Jin, Jae-Youll;Jang, Changhwan
    • Journal of Wetlands Research
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    • v.15 no.3
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    • pp.423-430
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    • 2013
  • An algorithm to allow shoreline movement during numerical experiment on sediment transport, deposition or resuspension for general coastal morphology is proposed here. The bed slope near shoreline, i.e. mean sea level, is influenced by bed material, tidal current, waves, and wave-induced current, but has been reported to remain within a stable range. Its annual variation is not large, either. The algorithm is adjusting the bathymetry, if the largest bed slope within shoreline band exceeds a given bed slope due to continuous erosion at zones below the shoreline. This algorithm automatically describes retreat of shoreline caused by erosion, when used within a numerical system. The algorithm was tested to a situation which includes a continuous dredging at a point, and showed satisfactory development of concentric circle contours. Next, the algorithm was tested to another situation which includes sinking of eroded part of bed plate, and produced satisfactory results, too. Finally, the algorithm was tested to a movable-bed laboratory experimental conditions. The shoreline movement behind detached breakwater was reasonably reproduced with this algorithm.

Hado and Russell's Paradox (하도(河圖)와 러셀 역설)

  • Kim, Byoung-Soo
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.3
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    • pp.583-590
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    • 2007
  • The significance of Han medicine (韓醫學), the Korean traditional medicine, that has lasted throughout the past couple millenniums relies upon Han Philosophy distinguished by its uniqueness. In brief, the specificity of Han medicine is characterized by unity of spirit and body, part and whole. According to this theory, when curing a frozen shoulder, it is usually cured by acupuncturing the area around the part that aches, but also doing so on the area that is totally different from the aching part such as the opposite part of the body. In fact, this can be pursued only through aspects that enable one to realize the unity of part and whole, and a ground for this possibility bases upon the crux of Eastern Philosophy, I-ching(역), such as theory of Five Elements (음양오행) and Three Pillars(삼재). In Western set theory, the issues of Class(부류) and elements(요원), whole and part were independently discussed in the area of mereology, and the question of part and whole was encountered with aporia and paradox since Greek ancient philosophy. At the turn of this century, many philosophers endeavored to pursue academic inquiry to resolve this paradox, especially by Russell and Whitehead through ${\ll}$Principia Mathematica${\gg}$ at the beginning of this century. in the process, there came out a phrase 'Russell's Paradox'. Russell himself proposed a typological resolution as an answer to the inquiry. However, 'Russell's Paradox' still remains as an aporia even till present days. During medieval period, this inquiry was even considered as 'insolubia'. Throughout this paper, 1 attempt to provide an analytic aspect on 'Russell's Paradox' from an unique thinking method and perspective of Han medicine that embodies the concept of 'unity of part and whole'. To do so, 1 suggest a physiological model in the first place depicted by diagrams of Circle 원, Quadrangle 방, Triangle 각(CQT) that portray the logic of Hado or Hotu 하도 which is 'the pattern from the river Ho'. That is to suggest that CQT원방각 of Hado can De a logical foundation that explains the notions of spirit (정신,뇌), internal organs(장부), and meridian system which functions as a solution to the question of 'Russell's Paradox'. There are precedent academic works examining the issue from philosophical aspect such as Sangil Kim's ${\ulcorner}$Han medicine과 러셀역설 해의${\lrcorner}$ Han Medicine and Resolution of Russell's Paradox(2005), and this analysis will further attempt to critically examine such works from a perspective of Han medicine.

Impact of the Physical Characteristics of Smart Wristbands and Smartwatches on Perceived Functional, Aesthetic, And Symbolic Values (스마트팔찌와 스마트워치의 물리적 특성이 지각된 기능적, 심미적, 상징적 가치에 미치는 영향)

  • Soo In Shim;Heejeong Yu
    • The Journal of the Convergence on Culture Technology
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    • v.10 no.1
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    • pp.525-532
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    • 2024
  • This study explores the impact of physical characteristics (e.g., shape, color, material, size, weight, technical features) of smart wristbands and smartwatches on consumers' perceived functional, aesthetic, and symbolic values using an extended technology acceptance model. An online survey was conducted with adult residents of the United States who had experience using smart wristbands or smartwatches. Participants were asked about various physical characteristics of products they had used in the past year or were currently using, and their evaluations of these characteristics. The results revealed that the shape of the front display shape significantly influenced symbolic value, with circle shape and square shpae showing significantly higher symbolic value than rectangle shape. Wristband materials also had a significant impact on symbolic value, with metal and leather showing higher symbolic value among various materials. Additionally, an increase in product size was associated with higher symbolic value. Moreover, certain technical features such as activity tracker, alarm clock, and distance tracking influenced perceived functional value, while functions like time display, GPS, and email influenced perceived aesthetic value. Pedometer, GPS, and email were found to enhance perceived symbolic value. These findings provide valuable insights into consumer preferences for smart wristbands and smartwatches, serving as valuable information for product improvement and new product development.

Performance Test of Hypocenter Determination Methods under the Assumption of Inaccurate Velocity Models: A case of surface microseismic monitoring (부정확한 속도 모델을 가정한 진원 결정 방법의 성능평가: 지표면 미소지진 모니터링 사례)

  • Woo, Jeong-Ung;Rhie, Junkee;Kang, Tae-Seob
    • Geophysics and Geophysical Exploration
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    • v.19 no.1
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    • pp.1-10
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    • 2016
  • The hypocenter distribution of microseismic events generated by hydraulic fracturing for shale gas development provides essential information for understanding characteristics of fracture network. In this study, we evaluate how inaccurate velocity models influence the inversion results of two widely used location programs, hypoellipse and hypoDD, which are developed based on an iterative linear inversion. We assume that 98 stations are densely located inside the circle with a radius of 4 km and 5 artificial hypocenter sets (S0 ~ S4) are located from the center of the network to the south with 1 km interval. Each hypocenter set contains 25 events placed on the plane. To quantify accuracies of the inversion results, we defined 6 parameters: difference between average hypocenters of assumed and inverted locations, $d_1$; ratio of assumed and inverted areas estimated by hypocenters, r; difference between dip of the reference plane and the best fitting plane for determined hypocenters, ${\theta}$; difference between strike of the reference plane and the best fitting plane for determined hypocenters, ${\phi}$; root-mean-square distance between hypocenters and the best fitting plane, $d_2$; root-mean-square error in horizontal direction on the best fitting plane, $d_3$. Synthetic travel times are calculated for the reference model having 1D layered structure and the inaccurate velocity model for the inversion is constructed by using normal distribution with standard deviations of 0.1, 0.2, and 0.3 km/s, respectively, with respect to the reference model. The parameters $d_1$, r, ${\theta}$, and $d_2$ show positive correlation with the level of velocity perturbations, but the others are not sensitive to the perturbations except S4, which is located at the outer boundary of the network. In cases of S0, S1, S2, and S3, hypoellipse and hypoDD provide similar results for $d_1$. However, for other parameters, hypoDD shows much better results and errors of locations can be reduced by about several meters regardless of the level of perturbations. In light of the purpose to understand the characteristics of hydraulic fracturing, $1{\sigma}$ error of velocity structure should be under 0.2 km/s in hypoellipse and 0.3 km/s in hypoDD.

Extension Method of Association Rules Using Social Network Analysis (사회연결망 분석을 활용한 연관규칙 확장기법)

  • Lee, Dongwon
    • Journal of Intelligence and Information Systems
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    • v.23 no.4
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    • pp.111-126
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    • 2017
  • Recommender systems based on association rule mining significantly contribute to seller's sales by reducing consumers' time to search for products that they want. Recommendations based on the frequency of transactions such as orders can effectively screen out the products that are statistically marketable among multiple products. A product with a high possibility of sales, however, can be omitted from the recommendation if it records insufficient number of transactions at the beginning of the sale. Products missing from the associated recommendations may lose the chance of exposure to consumers, which leads to a decline in the number of transactions. In turn, diminished transactions may create a vicious circle of lost opportunity to be recommended. Thus, initial sales are likely to remain stagnant for a certain period of time. Products that are susceptible to fashion or seasonality, such as clothing, may be greatly affected. This study was aimed at expanding association rules to include into the list of recommendations those products whose initial trading frequency of transactions is low despite the possibility of high sales. The particular purpose is to predict the strength of the direct connection of two unconnected items through the properties of the paths located between them. An association between two items revealed in transactions can be interpreted as the interaction between them, which can be expressed as a link in a social network whose nodes are items. The first step calculates the centralities of the nodes in the middle of the paths that indirectly connect the two nodes without direct connection. The next step identifies the number of the paths and the shortest among them. These extracts are used as independent variables in the regression analysis to predict future connection strength between the nodes. The strength of the connection between the two nodes of the model, which is defined by the number of nodes between the two nodes, is measured after a certain period of time. The regression analysis results confirm that the number of paths between the two products, the distance of the shortest path, and the number of neighboring items connected to the products are significantly related to their potential strength. This study used actual order transaction data collected for three months from February to April in 2016 from an online commerce company. To reduce the complexity of analytics as the scale of the network grows, the analysis was performed only on miscellaneous goods. Two consecutively purchased items were chosen from each customer's transactions to obtain a pair of antecedent and consequent, which secures a link needed for constituting a social network. The direction of the link was determined in the order in which the goods were purchased. Except for the last ten days of the data collection period, the social network of associated items was built for the extraction of independent variables. The model predicts the number of links to be connected in the next ten days from the explanatory variables. Of the 5,711 previously unconnected links, 611 were newly connected for the last ten days. Through experiments, the proposed model demonstrated excellent predictions. Of the 571 links that the proposed model predicts, 269 were confirmed to have been connected. This is 4.4 times more than the average of 61, which can be found without any prediction model. This study is expected to be useful regarding industries whose new products launch quickly with short life cycles, since their exposure time is critical. Also, it can be used to detect diseases that are rarely found in the early stages of medical treatment because of the low incidence of outbreaks. Since the complexity of the social networking analysis is sensitive to the number of nodes and links that make up the network, this study was conducted in a particular category of miscellaneous goods. Future research should consider that this condition may limit the opportunity to detect unexpected associations between products belonging to different categories of classification.

Development of a Business Model for Korean Insurance Companies with the Analysis of Fiduciary Relationship Persistency Rate (신뢰관계 유지율 분석을 통한 보험회사의 비즈니스 모델 개발)

  • 최인수;홍복안
    • Journal of the Korea Society of Computer and Information
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    • v.6 no.4
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    • pp.188-205
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    • 2001
  • Insurer's duty of declaration is based on reciprocity of principle of the highest good, and recently it is widely recognized in the British and American insurance circles. The conception of fiduciary relationship is no longer equity or the legal theory which is only confined to the nations with Anglo-American laws. Therefore, recognizing the fiduciary relationship as the essence of insurance contract, which is more closely related to public interest than any other fields. will serve an efficient measure to seek fair and reasonable relationship with contractor, and provide legal foundation which permits contractor to bring an action for damage against violation of insurer's duty of declaration. In the future, only when the fiduciary relationship is approved as the essence of insurance contract, the business performance and quality of insurance industry is expected to increase. Therefore, to keep well this fiduciary relationship, or increase the fiduciary relationship persistency rates seems to be the bottom line in the insurance industry. In this paper, we developed a fiduciary relationship maintenance ratio based on comparison by case, which is represented with usually maintained contract months to paid months, based on each contract of the basis point. In this paper we have developed a new business model seeking the maximum profit with low cost and high efficiency, management policy of putting its priority on its substantiality, as an improvement measure to break away from the vicious circle of high cost and low efficiency, and management policy of putting its priority on its external growth(expansion of market share).

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A Study about the Aesthetics of Oriental in Modern Fashion design (현대패션디자인에 나타난 동양의 미의식 연구)

  • 임영자
    • Journal of the Korean Society of Costume
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    • v.30
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    • pp.261-274
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    • 1996
  • In the present age dominate by both cer-taingty of 1% and uncertainty of 99% 'Fuzzy thinking' of Bart Kosko that is the way to solve the problems by the scientific way through a worldview of Buddhism or Taoism greatly prevails around the world over 'Lateral greatly prevails around the world over 'Lateral thinking' and the authenticity or the right and-wrong of the uncertainty which is the thinking way to find the answer of the problems of illogical way of Edward de Beno against the western vertical thinking were Concurrently fashion designers over the world also adopt the oriental elements. But there exist differences of thoughts between the orient and the occident. And they have dif-ferent thinking way of aestheticism and references of the value on the beauty. Not only beauty but the view through the mind as intuitional thought in which not only the rec-ognition of sense but also the rationalism and the naturalness play key role. The aesthetic sense in the orient contains both the truth and virtue. 2) The beauty of the mean It's from the thought of neutralization of Confucius. The mean or moderation state which in harmony with ethical virtue and aes-thetic beauty is the ideal and is the ultimate. Therefore the thought of Confucian is the creativity in which the balance and the har-mony is most important. Fashion design is also one of the representation of the mean because the spirit of the designer is harmonized for-mlessly with the object of the model of the fashion design. 2) The beauty of skillfulness It indicates the Taoism of Lao-tzu and Chuangtzu. It takes a super-artistic declar-ation that human can feel and recognize the color of colorlessness the sound of sound-lessness and the taste of tastelessness. The thought of arts affected by Taoism is 'ad-vanced age' called the beauty of skillfulness. The view of arts of lao-tzu takes the beauty of cosmos and the nature as a standard. Es-pecially the beauty of inactivity is recognized by the linkage between the beauty and the ugliness. And these things appear in fashion design as a design element such as humor or exaggeration. 3) The beauty of non-dualism It is thought of Buddhism that all evil passions of worry occur form the opposition in dualism. Finally this thought leads to that everything is consistent and truth is only one from the point of view that virtue and vice has on linkage that is 'no virtues no vices' and 'one with two, two, with one, one is not two' A big tendency like this became the root forma-tion of the thought of the oriental arts. 3. Characteristics of the oriental aesthetic sense on the present fashion design 1) The formation of the fashion design on the oriental elements In the picture-incantation which was a representation of an era when the thought of 'cosmic dual forces' dominated the basic polygons of 'a circle square triangle' means both 'one two three' and 'the negative positive mean' of cosmic elements. From this point of view the was of planner cutting in the Orient is dif-ferent from that of the Occidental which is in three-dimensional. The planner polygon type of the cut-pieces comes to have the meaning of the three-dimension when they consist of a suit that has the combination of each cut-piece. This shows the consistency with the principle of cosmos creation of Taoism that one is two two is three and three is every-thing. 2) The coloring and the symbolic represen-tation of the fashion design on the orien-tal elements The sense on the colors in the Orient from the thought of 'the cosmic dual forces and the five elements' is not the experi-enced from the knowledge but contains the consideration of philosophy Five-primary-color representing compass directions Blue(East) Red(South) Yellow(Center) White (West) and Black (North) is called ' the posi-tive' for this five-primary-color secondary-color which comes from the compound of the primary colors is called 'the negative' The thought of 'the cosmic dual forces and the five elements' is also an theory containing the natural order of the cos-mos and this shows the perceptional differ-ence that they are not conceptual but to be recognized and fell directly. A thought of Buddhism which is 'Colors are colorlessness and Clolorlessness are color's proves that. 3) The pattern and symbolic representation of the fashion design on the oriental elements The pattern as a visual style is a figure of symbolic representation which adopt the mental and physical world of human and are the compo-sition of artistic revelation of the human nature and the religous thought of incantation. Es-pecially the symbolic representation of the oriental thought of Confusion. Buddhism and Taoism There are patterns such as plants aminals the oriental four gods and geometry. From the above it's the time toward the 21'th century when the world is constructing one global area and one historical zone. And the exotic mood of the Orient represented in the fashion which doesn't make the common feeling in general does not cease to develop only to express the visual modeling but also adopts the thought religion and the art which are the root of the Orientail and contains inherent willing of modeling.

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The Study on the Ultrastructure and Distribution of Dopaminergic Cells in the Brain of Mongolian Gerbil after Water Deprivation (절수에 의한 Mongolain gerbil 뇌 Dopamine성 면역반응세포의 분포와 미세구조의 변화에 관한 연구)

  • Song, Chi-Won;Lee, Kyoung-Youl;Park, Il-Kwon;Kwon, Hyo-Jung;Kim, Moo-Kang;Lee, Kang-Lee
    • Applied Microscopy
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    • v.30 no.2
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    • pp.193-204
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    • 2000
  • Nowadays, mongolian gerbil is widely utilized in the research of brain and water deprivation because of congenitally incomplete Willis' circle, audiogenic seizure in low noise, and special cholesterol metabolism without water absorption for a long time. In this study, we intended to identify the time lapse changes in the general morphoogy and ultrastructure of the catecholaminergic neurons of mongolian gerbil brain in after long-term water deprivation. Fifteen mongolian gerbils were divided into 3 groups (5, 10, and 20-day water deprivation groups), each with 5 mongolian gerbils. Additional 5 mongolian gerbils which received water without limitation were used as a control. The brain sections were immunostained using tyrosine hysroxylase (TH), $ dopamine-\beta-hydroxylase$ (DBH), and phenylethanolamine-N-methyltrasferase (PMNT) antibodies. And immunoreactive cells were observed by electromicroscopy for the ultrastructural changes . The TH-immunoreactive (TH-IR) nerve cells were observed in the para- and peri-ventricular nucleus of the 3 rd ventricle in the hypothalamus and the substantia nigra. The number of TH-IR neurons in these areas was decreased from the 5th day of the water deprivation to the 10 th day and reincreased until 20 th day water deprivation. The shape and density of the dopamine-secreting cells identified by immunohistochemistry showed changes in the continuous water deprivation. Electron microscopy revealed a round nucleus in the neurons of control group but 5-day water deprivation group showed a dense and irregularly shaped nucleus. Also in the 5-day water-deprived group, mitochondria was decreased in number and junctins were disappered. Endoplasmic reticulum, Golgi complex did not show changes after water-deprivation. In this results, we can conclude that dopamine are involved in the water metabolism in mongolian gerbil, and mongolian gerbil could be used as an animal model for the researches of water deprivation.

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