• Title/Summary/Keyword: 한국 수학

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An Indirect Localization Scheme for Low- Density Sensor Nodes in Wireless Sensor Networks (무선 센서 네트워크에서 저밀도 센서 노드에 대한 간접 위치 추정 알고리즘)

  • Jung, Young-Seok;Wu, Mary;Kim, Chong-Gun
    • Journal of the Institute of Convergence Signal Processing
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    • v.13 no.1
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    • pp.32-38
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    • 2012
  • Each sensor node can know its location in several ways, if the node process the information based on its geographical position in sensor networks. In the localization scheme using GPS, there could be nodes that don't know their locations because the scheme requires line of sight to radio wave. Moreover, this scheme is high costly and consumes a lot of power. The localization scheme without GPS uses a sophisticated mathematical algorithm estimating location of sensor nodes that may be inaccurate. AHLoS(Ad Hoc Localization System) is a hybrid scheme using both GPS and location estimation algorithm. In AHLoS, the GPS node, which can receive its location from GPS, broadcasts its location to adjacent normal nodes which are not GPS devices. Normal nodes can estimate their location by using iterative triangulation algorithms if they receive at least three beacons which contain the position informations of neighbor nodes. But, there are some cases that a normal node receives less than two beacons by geographical conditions, network density, movements of nodes in sensor networks. We propose an indirect localization scheme for low-density sensor nodes which are difficult to receive directly at least three beacons from GPS nodes in wireless network.

A Non-consecutive Cloth Draping Simulation Algorithm using Conjugate Harmonic Functions (켤레조화함수를 이용한 비순차적 의류 주름 모사 알고리즘)

  • Kang Moon Koo
    • Journal of KIISE:Software and Applications
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    • v.32 no.3
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    • pp.181-191
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    • 2005
  • This article describes a simplified mathematical model and the relevant numerical algorithm to simulate the draped cloth on virtual human body. The proposed algorithm incorporates an elliptical, or non-consecutive, method to simulate the cloth wrinkles on moving bodies without resorting to the result of the past time-steps of drape simulation. A global-local analysis technique was employed to decompose the drape of cloths into the global deformation and the local wrinkles that will be superposed linearly The global deformation is determined directly by the rotation and the translation of body parts to generate a wrinkle-free yet globally deformed shape of cloth. The local wrinkles are calculated by solving simple elliptical equations based on the orthogonality between conjugate harmonic functions representing the wrinkle amplitude and the direction of wrinkles. The proposed method requires no interpolative time frames even for discontinuous body postures. Standing away from the incremental approach of time integration in conventional methods, the proposed method yields a remarkable reduction of CPU time and an enhanced stability. Also, the transient motion of cloth could be achieved by interpolating between the deformations corresponding to each static posture.

A Study on the Basic Mathematical Competency Levels of Freshmen Students in Radiology Department (방사선과 신입생의 기초 수리능력 수준에 대한 연구)

  • Jang, Hyon Chol;Cho, Pyong Kon
    • Journal of the Korean Society of Radiology
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    • v.14 no.2
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    • pp.121-127
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    • 2020
  • The era of the Fourth Industrial Revolution is increasingly demanding mathematical competencies for virtual reality (VR), artificial intelligence (AI) and the like. In this context, this study intended to identify the basic mathematical competency levels of university freshman students in radiology department and to provide basic data thereon. For this, the diagnostic assessment of basic learning competencies for the domain of mathematics was conducted from June 17, 2019 to June 28, 2019 among 78 freshman students of radiology department at S university and D university. As a result, the university students' overall basic mathematical competency levels were diagnosed to be excellent. However, their levels in the sectors of the geometry and vector and the probability and statistics were diagnosed to be moderate, with the mean scores of 2.61 points and 2.64 points, respectively, which were found to be lower than those of the other sections. As for basic mathematical competency levels according to genders, the levels of male students and female students were diagnosed to be excellent, with the mean scores of 17.48 points and 16.29 points, respectively, showing no statistically significant difference (p>0.05). Given the small number of subjects and regional restriction, there might be some limitations in the generalization of the findings of the present study to all university freshman students and all departments. The above results suggest that it is necessary to implement various programs such as student level-based special lectures for enhancing basic mathematical competencies relating to major in order to improve the basic mathematical competencies of freshman students in radiology department, and that it is necessary to increase the students' mathematical competencies by offering major math courses in the curriculum and applying teaching-learning methods matching students' levels.

Dose Assessment of the Eye of the Operator in the Field of Angiography and Interventional Radiography (혈관조영 및 중재적 시술 분야 내 종사자의 눈에 대한 선량평가)

  • Kim, Jung-hoon;Cho, Yong-In
    • Journal of the Korean Society of Radiology
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    • v.12 no.2
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    • pp.209-216
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    • 2018
  • In the field of angiography and interventional radiology, it is said that the risk of radiation exposure to the eyes is high due to the characteristics of work, but currently divided dose assessment and management are not carried out in reality. Therefore, in this study, in order to evaluate the dose of the operator in the surgical environment and to analyze the shields, firstly, we selected the point where the operator is mainly located, evaluated the exposure dose of the eye after attaching the pocket dosimeter to the lateral angle point of the head and neck phantom, and evaluate shielding effect when wearing lead glasses that is currently commercialized. Secondly, we evaluated the tendency of the exposure dose of the eye and the shielding effect through simulation in the same geometric structure as the actual measurement. As a result, in the case of measurement using a dosimeter, the cumulative dose increased with the increase of the fluoroscopic time, and the tendency was different according to the position of the operator. Simulation results show that the dose distribution of the eye lens in the mathematical phantom is about 1.1 ~ 1.3 times higher than that of the cornea. Also, The protective effect of the lead glasses showed a shielding effect of at least 3.7 ~ 21.4% in each eye.

A Study on Construction of Multiplication Knowledge with Low Reasoning Ability (추론 능력이 열등한 초등학교 2학년 학생의 곱셈 지식 구성 능력에 관한 연구)

  • Lee, So-Min;Kim, Jin-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.47-70
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    • 2009
  • The purpose of this research was to confirm one of constructivists' assumptions that even children 조o are with low reasoning ability can make reflective abstracting ability and cognitive structures by this ability can make generation ability of new knowledge by themselves. To investigate the assumption, learner-centered instruction were implemented to 2nd grade classroom located in Suseong Gu, DaeGu City and with lesson plans which initially were developed by Burns and corrected by the researchers. Recordings videoed using 2 video cameras, observations, instructions, children's activity worksheets, instruction journals were analyzed using multiple tests for qualitative analysis. Some conclusions are drawn from the results. First, even children with low reasoning ability can construct mathematical knowledge on multiplication in their own. ways, Thus, teachers should not compel them to learn a learning lesson's goals which is demanded in traditional instruction, with having belief they have reasoning ability. Second, teachers need to have the perspectives of respects out of each child in their classroom and provide some materials which can provoke children's cognitive conflict and promote thinking with the recognition of effectiveness of learner-centered instruction. Third, students try to develop their ability of reflective and therefore establish cognitive structures such as webs, not isolated and fragmental ones.

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An Analysis on Elementary Students' Error Types of Word Problem Solving Strategy (초등학생들의 문제해결전략에 따른 오류 유형 분석)

  • Kim, Young A;Kim, Sung Joon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.113-139
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    • 2013
  • The purpose of this study is to provide informations about cause of failures when students solve word problems by analyzing what errors students made in solving word problems and types of error and features of error according to problem solving strategy. The results of this study can be summarized as follows: First, $5^{th}$ grade students preferred the expressions, estimate and verify, finding rules in order when solving word problems. But the majority of students couldn't use simplifying. Second, the types of error encountered according to the problem solving strategy on problem based learning are as follows; In the case of 'expression', the most common error when using expression was the error of question understanding. The second most common was the error of concept principle, followed by the error of solving procedure. In 'estimate and verify' strategy, there was a low proportion of errors and students understood estimate and verify well. When students use 'drawing diagram', they made errors because they misunderstood the problems, made mistakes in calculations and in transforming key-words of data into expressions. In 'making table' strategy, there were a lot of errors in question understanding because students misunderstood the relationship between information. Finally, we suggest that problem solving ability can be developed through an analysis of error types according to the problem strategy and a correct teaching about these error types.

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Estimation of Measurement Uncertainty in Vitamin C Analysis from Vegetable and Fruit Juice (야채음료 중 비타민 C 분석에 있어서의 측정불확도 추정)

  • Kim, Young-Jun;Kim, Hyeon-Wee
    • Korean Journal of Food Science and Technology
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    • v.35 no.6
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    • pp.1053-1059
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    • 2003
  • This study aimed to determine the amount of vitamin C from vegetable & fruit juice by high performance liquid chromatograhy (HPLC). Components for estimation of measurement uncertainty associated with the analysis of vitamin C, such as standard weight, purity, molecular weight, dilution of standard solution, calibration curve, recovery, and precision, were importantly applied. The estimation of uncertainty obtained with systematic and random error based on the GUM (Guide to the expression of uncertainty in measurement) and EURACHEM document with mathematical calculation and statistical analysis. The components, evaluated ty either Type A or Type B methods, were combined to produce an overall value of uncertainty known as the combined standard uncertainty. An expanded uncertainty was obtained by multiplying the combined standard uncertainty with a coverage factor (k) calculated from the effective degree of freedom. The content of vitamin C from vegetable and fruit juice was 27.53 mg/100g and the expanded uncertainty by multiplying by the coverage factor (k, 2.06) was 0.63 mg/100g at a 95% confidence level. It was concluded that the main sources were, in order of recovery and precision, weight and purity of the reference material, dilution of the standard solution, and calibration curve. Careful experiments on other higher uncertainties is further needed in addition to better personal proficiency in sample analysis in terms of accuracy and precision.

Development of Herbal Chicken Porridge and the Establishment of Optimizing the Mixing Ratio (한방 닭죽 개발 및 최적 배합비율 확립)

  • Kim, Kyung-Yeon;Baik, Moo-Yeol;Park, Cheon-Seok;Choi, Sung-Won;Kim, Chang-Nam;Kim, Byung-Yong
    • The Korean Journal of Food And Nutrition
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    • v.26 no.1
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    • pp.22-28
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    • 2013
  • The objectives of this study were to develop porridge with medicinal herbs and chicken breast meat and to find out the optimum mixing ratio. Several herb extracts such as Acanthopanacis senticosus, Rehmannia glutinosa, Disocorea japonica, and Poria cocos Wolf were used in the ratio of 2, 1, 1, and 1, respectively. The optimum processing condition for herbal chicken porridge was determined by a design expert program. Seventeen experimental points were selected, and herb extracts (82~101 g), chicken breast meat (30~50 g), and glutinous rice (40~60 g) were chosen as the independent variables. The measured responses were preference of taste, DPPH radical scavenging, SOD-like activity, and cost. The optimum formulation of herbal chicken porridge using the numerical analysis was set at herbal extracts (101 g), chicken breast meat (38.66 g), and glutinous rice (41.34 g) with a 0.714 desirability value. DPPH radical scavenging effect, preference of taste and the cost showed a linear model, whereas SOD-like activity showed a quadratic model indicating a higher interaction among the mixture. As a result of proximate composition of optimized herbal chicken porridge, the contents of moisture, carbohydrate, crude protein, crude lipid, and ash contents were 76.4, 9.0, 1.4, 0.5, and 1.6%, the calories of the porridge was 46.1 kcal/100 g.

NC 가공을 위한 곡면 모델링에 관한 연구

  • 성원징;양균의
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1991.04a
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    • pp.356-362
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    • 1991
  • 자동차, 항공기, 선박등과 같은 산업제품과 전화기, TV브라운관과 같은 가전제품, 심미적 기능을 갖는 제품등과 같은 일상용품등은 많은 부분이 자유곡면(sculptured surface)으로 이루어져 있다. 이러한 해석적으로 정의 하기 어려운 제품 또는 그것을 생산하는데필요한 금형을 가공하는데 있어서 기존에는 석고 모형이나 목형을 이용한 모방 절삭을 하였다. 그러나 근래에는 자유곡면으로이루어진 제품을 설계하고 가공하는데 있어서 CAD/CAM system을 이용하고 있다. 제품의 곡면을 표현하거나 이들을 NC가공하기 위해서는 곡면을 나타내는 형상 정보가 필요 하고 이들 형상정보로 곡면모델링을 하여공구 경로를 구한다. 그러므로 이들 형상정보를 허용한도내에서 적절히 정하여 실제형상에 가까운 곡면을 형성하여야 한다. CAD/CAM 기술의 발달에 따라 다양한 형태의 곡면을 형성하는 기능을 가진 system이 많이 출현되었고 점토, 석고 또는 나무등으로 만든 physical model로 부터 얻어진 형상정보에 의해 surface fitting을 함으로서 자유곡면을 표현하는 방법이 많이 사용되고 있다. 어떠한 곡면을 표현할때는 곡면의 특성을 잘 표현하면서 전체적으로 smooth 한 것이 바람직하다. 그러므로 곡면의 형태를 설계자가 쉽게 이해할 수 있고 적은 수의 patch로도 복잡한 형상을 나타내야 하며 또한 국부적으로 수정이 용이하여야한다. 본 논문에서는 자유곡면을 나타낼 수 있는 수학적 표현 방법에 관하여 논하고, 해석적 곡면으로 부터 형상정보를 얻어 곡면 모델링을 한 후의 Ferguson곡면, UBS와 NUBS의 차이점을 분석하고, 이들 곡면과 해석적 곡면으로부터 얻은 실제곡면과의 오차를 측정하여 실제형상에 가까운 모델링 곡면을 찾고자 하였다.. 라. MCl(M:K$^{+}$, $Na^{+}$, NH$_{4}$$^{+}$ 및 H$^{+}$) 수용액 메디움에서의 Cd(II), Mg(II) 및 Zn(II)의 Dowex 1-X8, Cl$^{-}$ 수지에 대한 흡착은 역시 어떤 메디움에서도 Cd(II) 흡착이 제일 크며, 다음이 Zn(II) 이고 착이온을 형성않는 Mg(II)이 제일 작았다. 한편 메디움 종류별 D값의 크기순위는 H$^{+}$>K$^{+}$> $Na^{+}$>NH$_{4}$$^{+}$이였다. 메디움의 종류에 따라 D값의 차이가 나는 것은 금속이온의 착이온 형성과 금속이온의 용액내에서의 이온종의 상태와 관련이 있다고 생각된다. 마. MCl(M:K$^{+}$, $Na^{+}$, NH$_{4}$$^{+}$ 및 H$^{+}$)과 MNO$_{3}$ 용리액에 의한 Cd(II), Mg(II) 및 Zn(II)의 용리는 예상한 바와 같이 MCl에서 작은 Dv 값을 갖는데, 이것은 CdCl$_{4}$$^{2-}$ 착이온을 형성하거나 ZnCl$_{4}$$^{2-}$ , ZnCl$_{3}$$^{-}$같은 이온과 MgCl$^{+}$, MgCl$_{2}$같은 이온종을 형성하기 때문인것 같다. 한편 어떠한 용리액에서던지 N

Development of a Program That Computes the Position of the Instantaneous Center of Rotation on the Basis of Experimental Data(I) (실험 데이터를 이용한 회전운동 순간 중심점 분석 프로그램 개발(I))

  • Park, Jin;Shin, Ki-Hoon
    • Korean Journal of Applied Biomechanics
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    • v.19 no.4
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    • pp.779-791
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    • 2009
  • The purpose of this study is to develop a program that computes the position of the instantaneous center of rotation while an object moves in a circular motion. For this study, a mathematical algorithm was developed and implemented on the experimental data. Data for pitching (40m carry) and putting (4m) strokes were obtained from a skilled female golfer. A computer program (Centering 1.0) calculated the experimental data and found the radius of the instantaneous center of rotation. When the data were taken broadly, the program produced an error distance of radius. When the data were divided gradually, the program produced a very close instantaneous center of rotation. On comparing pitching and putting strokes, putting was found to have a greater radius than pitching. The instantaneous centers of rotation of putting were not in the golfer's body rather, they were 3m away from the club head. The Centering 1.0 program can calculate the instantaneous center of rotation with at least three sets of experimental data.