• Title/Summary/Keyword: Triangle determination

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A critical review on middle school mathematics curriculum revised in 2011 focused on geometry (2011 중학교 수학과 교육과정의 비판적 고찰: 기하 영역을 중심으로)

  • Park, Kyo-Sik;Kwon, Seok-Il
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.261-275
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    • 2012
  • There are some geometry achievement standards presented indistinctly in middle school mathematics curriculum revised in 2011. In this study, indistinctness of some geometric topics presented indistinctly such as symbol $\overline{AB}{\perp}\overline{CD}$ simple construction, properties of congruent plane figures, solid of revolution, determination condition of the triangle, justification, center of similarity, position of similarity, middle point connection theorem in triangle, Pythagorean theorem, properties of inscribed angle are discussed. The following three agenda is suggested as conclusions for the development of next middle school mathematics curriculum. First is a resolving unclarity of curriculum. Second is an issuing an authoritative commentary for mathematics curriculum. Third is a developing curriculum based on the accumulation of sufficient researches.

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A Mobile Object Tracking Scheme by Wired/wireless Integrated Street Lights with RFID

  • Cha, Mang Kyu;Kim, Jung Ok;Lee, Won Hee;Yu, Ki Yun
    • Journal of Korean Society for Geospatial Information Science
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    • v.24 no.2
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    • pp.25-35
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    • 2016
  • Since a sophisticated location determination technology (LDT) is necessary for accurate positioning in urban area environments, numerous studies related to the LDT using the RFID (Radio Frequency IDentification) technology have been implemented for real-time positioning and data transferring. However, there are still lots of unsolved questions especially regarding what to use as base stations and what are corresponding results under the intrinsic complexity of alignment and configuration of components used for the RFID positioning. This study proposes the street light fixtures as base stations where the RFID receivers will be embedded for the mobile tracking scheme. As street light fixtures are usually installed at a certain distance interval, they can be used as base stations for the RFID receiver installation. Using the principle of the single row triangle network, the RFID receiver organization is determined based on the experiments such as recognition distance measurement and tag position accuracy estimation at inside and outside of the single row triangle network. The results verify that the mobile tracking scheme which uses RFID-embedded street light fixtures, suggested and configured in this study, is effective for the real-time outdoor positioning.

Designing Mathematical Activities Centered on Conjecture and Problem Posing in School Mathematics (학교수학에서 추측과 문제제기 중심의 수학적 탐구 활동 설계하기)

  • Do, Jong-Hoon
    • The Mathematical Education
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    • v.46 no.1 s.116
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    • pp.69-79
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    • 2007
  • Students experience many problem solving activities in school mathematics. These activities have focused on finding the solution whose existence was known, and then again conjecture about existence of solution or posing of problems has been neglected. It needs to put more emphasis on conjecture and problem posing activities in school mathematics. To do this, a model and examples of designing mathematical activities centered on conjecture and problem posing are needed. In this article, we introduce some examples of designing such activities (from the pythagorean theorem, the determination condition of triangle, and existing solved-problems in textbook) and examine suggestions for mathematics education. Our examples can be used as instructional materials for mathematically able students at middle school.

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Comparison of data mining algorithms for sex determination based on mastoid process measurements using cone-beam computed tomography

  • Farhadian, Maryam;Salemi, Fatemeh;Shokri, Abbas;Safi, Yaser;Rahimpanah, Shahin
    • Imaging Science in Dentistry
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    • v.50 no.4
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    • pp.323-330
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    • 2020
  • Purpose: The mastoid region is ideal for studying sexual dimorphism due to its anatomical position at the base of the skull. This study aimed to determine sex in the Iranian population based on measurements of the mastoid process using different data mining algorithms. Materials and Methods: This retrospective study was conducted on 190 3-dimensional cone-beam computed tomographic (CBCT) images of 105 women and 85 men between the ages of 18 and 70 years. On each CBCT scan, the following 9 landmarks were measured: the distance between the porion and the mastoidale; the mastoid length, height, and width; the distance between the mastoidale and the mastoid incision; the intermastoid distance (IMD); the distance between the lowest point of the mastoid triangle and the most prominent convex surface of the mastoid (MF); the distance between the most prominent convex mastoid point (IMSLD); and the intersecting angle drawn from the most prominent right and left mastoid point (MMCA). Several predictive models were constructed and their accuracy was compared using cross-validation. Results: The results of the t-test revealed a statistically significant difference between the sexes in all variables except MF and MMCA. The random forest model, with an accuracy of 97.0%, had the best performance in predicting sex. The IMSLD and IMD made the largest contributions to predicting sex, while the MMCA variable had the least significant role. Conclusion: These results show the possibility of developing an accurate tool using data mining algorithms for sex determination in the forensic framework.

Ray-optical determination of the coupling coefficients of waveguide gratings by use of the rigorous coupled wave theory (회절격자구조를 갖는 도파로 소자의 엄밀한 광선광학적 결합계수 계산)

  • 박선택;송석호;오차환;김필수
    • Korean Journal of Optics and Photonics
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    • v.10 no.4
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    • pp.348-353
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    • 1999
  • Ray-optics approach based on the rigorous coupled wave theory, called by the rigorous ray-optics method (RROM), is developed for the calculation of couling coefficients of waveguide grating devices. The coupling coefficients of several grating structures, such as rectangular, sinusoidal, triangle, and trapezoidal shapes, are determined by the RROM, and they are compared with those obtained by conventional methods of the ray-optics method (ROM) and the coupled mode method (CMM). In the case of rectangular gratings, the coupling coefficients is evaluated in detail by various depths and duty-cycles of the grating. We have found that the RROM gives more exact solutions for the coupling coefficients of even arbitrary shapes of diffractive waveguide grating devices than the other conventional methods.

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True Position Determination Algorithm using Azimuth (방위를 이용한 진위 결정 알고리즘)

  • Youn, Jin-Young;Jeong, Seon-Jae;Yim, Jae-Hong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.22 no.4
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    • pp.691-699
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    • 2018
  • Astronomical positioning has been carried out from the past by using Sextant. The St. Hilaire method was mainly used by Nautical Almanac and Sight Reduction Tables For Marine Navigation. In modern times, it has been able to use the LOP(Line of Position) method smoothly by combining with IT technology. However, in comparison with the past method, the LOP method always shows two positions, True Position and False Position, which must be distinguished by the navigator. Therefore, in this paper, we proposed a method of using the azimuth to remove the false position generated by the LOP method. In particular, the theoretical considerations using azimuth are presented in various ways, and the validity of the theoretical considerations is confirmed. Simulations are presented to confirm that the theoretical basis of the thesis is valid.

A Grounded Theory Study on the Recovering Gambling Addicts' Overcoming Process of Their Hardships of Life (단도박자의 생활고 극복과정에 관한 근거이론 연구)

  • Kang, Jun Hyeok;Um, Da Won;Lee, Hyuk Koo
    • Korean Journal of Social Welfare Studies
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    • v.48 no.4
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    • pp.121-156
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    • 2017
  • The purpose of this study is to examine the recovering gambling addicts' overcoming process on their hardships of life which hamper their recovery. For this study, we had one to one depth interview with 10 participants who had overcome their hardships of life after stopping gambling. The data gathered from the interviews were analysed following the grounded theory process suggested by Strauss and Corbin. As a result, 131 concepts were constructed, and they were classified into 32 subcategories and 14 category. We presented "overcoming of the hardships of life through the acceptance of reality and re-determination" as a core subject which connects the whole concepts. Based on the research outcomes, we proposed some policy and practice intervention methods such as economic self-support program, social security service, and triangle support system by counselor-family-peer recovering addicts.

Feasibility Study of Vertical Multileaf Collimator for Determination of Irradiation Size (수직형 다엽 콜리메이터의 방사선 조사면 크기 결정을 통한 유용성 연구)

  • Lee, Chang-Yeol;Son, Ki-Hong;Shin, Sang-Hun;Park, Seung-Woo;Lee, Dong-Han;Jung, Hai-Jo;Choi, Mun-Sik;Oh, Won-Young;Kim, Kum-Bae;Yang, Gwang-Mo;Ji, Young-Hoon
    • Progress in Medical Physics
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    • v.22 no.1
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    • pp.3-11
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    • 2011
  • The purpose of this study was to evaluate feasibility of Vertical Multileaf Collimator for determination of irradiation size using Vertical Multileaf Collimator and lead block to determine 4 different irradiation shape in case of Co-60 gamma-ray and 6 MV X-ray. We chose ion chamber, glass dosimeter and EBT chromic film to compare with Vertical Multileaf Collimator results and lead block results. In case of Co-60 gamma-ray and 6 MV X-ray, the central axis point dose normalized at reference field of lead block with ion chamber results for Vertical Multileaf Collimator were estimated higher than lead block about 5.1%, 4.2%. In case of Co-60 gamma-ray, the central axis point dose normalized at reference field of lead block with glass dosimeter results for Vertical Multileaf Collimator were estimated higher than lead block about 2.2%, 7.8%, 7.2%, 4.0% for reference, circle, triangle, cross field, respectively. In case of 6 MV X-ray, the central axis point dose normalized at reference field of lead block with glass dosimeter results for Vertical Multileaf Collimator were estimated higher than lead block about 6.7%, 6.2%, 3.8%, 6.2% for reference, circle, triangle, cross field, respectively. The results of EBT chromic film, Vertical Multileaf Collimator of penumbra size for all irradiation shape was smaller than lead block of those size that 2.0~3.5 mm for Co-60 gamma-ray, 0.5~1.0 mm for 6 MV X-ray. The results from this study, radiation treatment volume that results in shielding block can be minimized. In addition, during radiation treatment for 2, 3-dimensional radiation therapy using a Vertical Multileaf Collimator of this survey can be used to determine variety of irradiation fields.

Improved Fuzzy Binarization Method with Trapezoid type Membership Function and Adaptive α_cut (사다리꼴 형태의 소속 함수와 동적 α_cut 을이용한 개선된 퍼지 이진화)

  • Woo, Hyun-su;Kim, Kwang-baek
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.10
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    • pp.1852-1859
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    • 2016
  • The effectiveness of a binarization algorithm in image processing depends on how to eliminate the uncertainty of determining threshold in a reasonable way and on minimizing information loss due to the binarization effect. Fuzzy binarization technique was proposed to handle that uncertainty with fuzzy logic. However, that method is known to be inefficient when the given image has low intensity contrast. In this paper, we propose an improved fuzzy binarization method to overcome such known drawbacks. Our method proposes a trapezoid type fuzzy membership function instead of most-frequently used triangle type one. We also propose an adaptive ${\alpha}$_cut determination policy. Our proposed method has less information loss than other algorithms since we do not use any stretching based preprocessing for enhancing the intensity contrast. In experiment, our proposed method is verified to be more effective in binarization with less information loss for many different types of images with low intensity contrast such as night scenery, lumber scoliosis, and lipoma images.

Determination of the Shelf-life of Pasteurized Korean Rice Wine, Yakju, in Aseptic Packaging (가열 살균 후 무균 포장한 한국 전통 청주의 저장성에 관한 연구)

  • Lee, Cherl-Ho;Kim, Gi-Myung
    • Korean Journal of Food Science and Technology
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    • v.27 no.2
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    • pp.156-163
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    • 1995
  • The practical shelf-life of pasteurized Korean rice wine ‘Yakju’, aseptically packed in Tetra-pak, was determined. The test sample products were stored at $4^{\circ}C,\;20^{\circ}C,\;30^{\circ}C\;and\;35^{\circ}C$ for 19 weeks, and the quality assessment was made at two weeks interval. The quality parameters evaluated were pH, acidity, reducing sugar, absorbance at 370 nm, total and acid producing bacteria, yeast and mold, and sensory quality. No meaningful changes of pH and reducing sugar were noticed during the storage for 19 weeks at temperatures tested. The absorbance at 370 nm increased slightly during storage. The total numbers of microorganisms in the product decreased during storage and a drastical reduction of acid producing bacteria was observed after 6 weeks of storage. Both yeast and mold were not found in the pasteurized products. The sensory quality of stored rice-wine was evaluated by triangle test and scoring test. The panels could distinguish the product stored at $4^{\circ}C$ from other products stored at the higher temperatures for over 6 weeks. The overall acceptance of the product decreased gradually during storage, and the rate constants for the changes were $7.93{\times}10^{-3},\;at\;20^{\circ}C,\;9.69{\times}10^{-3}\;at\;30^{\circ}C\;and\;13.4{\times}10^{-3}\;at\;35^{\circ}C$, respectively. The activation energy estimated by Arrhenius equation was 24,795 kJ/kmol. The estimated shelf-life of Yakju pasteurized and aseptically packed was 24 months at $10^{\circ}C$, 16 months at $25^{\circ}C$ and 14 months at $25^{\circ}C$. The shelf-life of Yakju in Seoul was calculated to be 20 months, based on the monthly average temperature of the city.

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