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On the Role of Intuitive Model for Teaching Operations of Integers in the Middle School Mathematics Class (중학교 수학 수업에서 정수의 사칙계산 지도를 위한 직관적 모델의 역할에 관한 연구)

  • Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.11 no.1
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    • pp.97-115
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    • 2008
  • In high school mathematics class, to subtract a number b from a, we add the additive inverse of b to a and to divide a number a by a non-zero number b, we multiply a by the multiplicative inverse of b, which is the formal approach for operations of real numbers. This article aims to give a connection between the intuitive models in middle school mathematics class and the formal approach in high school for teaching operations of negative integers. First, we highlight the teaching methods(Hwang et al, 2008), by which subtraction of integers is denoted by addition of integers. From this methods and activities applying the counting model, we give new teaching methods for the rule that the product of negative integers is positive. The teaching methods with horizontal mathematization(Treffers, 1986; Freudenthal, 1991) of operations of integers, which is based on consistently applying the intuitive model(number line model, counting model), will remove the gap, which is exist in both teachers and students of middle and high school mathematics class. The above discussion is based on students' cognition that the number system in middle and high school and abstracted number system in abstract algebra course is formed by a conceptual structure.

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Aberration Retrieval Algorithm of Optical Pickups Using the Extended Nijboer-Zernike Approach (확장된 네이보어-제르니케 방법에 의한 광픽업의 파면수차 복원 알고리즘)

  • Jun, Jae-Chul;Chung, Ki-Soo;Lee, Gun-Kee
    • Journal of the Institute of Convergence Signal Processing
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    • v.11 no.1
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    • pp.32-40
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    • 2010
  • In this work, the method of acquiring the pupil function of optical system is proposed. The wavefront aberration and the intensity distribution of pupil can be analysed with the pupil function. This system can be adopted to the manufacturing line of optical pickup directly and also has good performance to analysing various property of optical instrument. It is one kind of inverse problem to get pupil functions by 3D beam data. The extended Nijboer-Zernike(ENZ) approach recently proposed by Netherlands research group is adopted to accompany to solve these inverse problem. The ENZ approach is one of a aberration retrieval method for which numerous approaches are available. But this approach is new in the sense that it use the highly efficient representation of pupil functions by means of their Zernike coefficients. These coefficients are estimated by using matching procedure in the focal region the theoretical 3D intensity distribution and measured 3D intensity distribution. The algorithm that can be applied more general circumstance such as high-numerical aperture instrument is developed by modifying original ENZ approach. By these scheme, MS windows based GUI program is developed and the good performance is verified with generated 3D beam data.

Document classification using a deep neural network in text mining (텍스트 마이닝에서 심층 신경망을 이용한 문서 분류)

  • Lee, Bo-Hui;Lee, Su-Jin;Choi, Yong-Seok
    • The Korean Journal of Applied Statistics
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    • v.33 no.5
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    • pp.615-625
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    • 2020
  • The document-term frequency matrix is a term extracted from documents in which the group information exists in text mining. In this study, we generated the document-term frequency matrix for document classification according to research field. We applied the traditional term weighting function term frequency-inverse document frequency (TF-IDF) to the generated document-term frequency matrix. In addition, we applied term frequency-inverse gravity moment (TF-IGM). We also generated a document-keyword weighted matrix by extracting keywords to improve the document classification accuracy. Based on the keywords matrix extracted, we classify documents using a deep neural network. In order to find the optimal model in the deep neural network, the accuracy of document classification was verified by changing the number of hidden layers and hidden nodes. Consequently, the model with eight hidden layers showed the highest accuracy and all TF-IGM document classification accuracy (according to parameter changes) were higher than TF-IDF. In addition, the deep neural network was confirmed to have better accuracy than the support vector machine. Therefore, we propose a method to apply TF-IGM and a deep neural network in the document classification.

A Credit Card Sensing System based on Shared Key for Promoting Electronic Commerce (전자상거래 촉진을 위한 공유키 기반 신용카드 조회 시스템)

  • Jang, Si-Woong;Shin, Byoung-Chul;Kim, Yang-Kok
    • The KIPS Transactions:PartD
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    • v.10D no.6
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    • pp.1059-1066
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    • 2003
  • In this paper, the magnetic sensing system is designed and implemented for the safe security in internet commerce system. When the payment is required inthe internet commerce system, the magnetic sensing system will get the information from a credit card without keyboard input and then encrypt and transmit the information to server. The credit card sensing system, which is proposed in this paper, is safe from keyboard hacking because it encrypts card information immediately in its internal chip and sends the information to host system. For the protection of information, the magnetic sensing system is basically based on a synchronous stream cipher cryptosystem which is related to a group of matrices. The size of matrices and the bits of keys for the best performances are determined for various cases. It is shown that for credit card payments. matrices of size 2 have good performance even at most 128bits keys with the consideration of inverse matrices. For authentication of general-purpose data, the magnetic sensing system needs more than 1.5KB data and in this case, the optimum size of matrices is 2 or 3 at more 256bits keys with consideration of inverse matrices.

Hyperthermia Properties of Fe3O4 Nanoparticle Synthesized by Hot-injection Polyol Process (Hot-injection Polyol 공정에 의해 제조된 Fe3O4 나노입자의 Hyperthermia 특성)

  • Lee, Seong Noh;Kouh, Taejoon;Shim, In-Bo;Shim, Hyun Ju
    • Journal of the Korean Magnetics Society
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    • v.24 no.2
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    • pp.51-55
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    • 2014
  • The $Fe_3O_4$ nanoparticle was synthesized by the hot-injection method while varying the injection time of the precursor solution. The crystal structure was determined to be cubic inverse spinel with space group of Fd-3m based on X-ray diffraction (XRD) measurements and the morphology of the prepared $Fe_3O_4$ nanoparticle was studied with a high-resolution transmission electron microscope (HR-TEM). When the precursor solution was injected for 0.5 min, the size of the $Fe_3O_4$ nanoparticle was 7.63 nm, while the size of the obtained particle was 21.27 nm with the injection time of 60 min. The magnetic properties of the prepared $Fe_3O_4$ nanoparticle were investigated by both vibrating sample magnetometer (VSM) and $^{57}Co$ M$\ddot{o}$ssbauer spectroscopy at various temperatures. From the hyperthermia measurement, we observed that the temperature of the $Fe_3O_4$ nanoparticle powder reached around $120^{\circ}C$ under 250 Oe at 50 kHz, when the injection time of the precursor solution was 60 min.

Association Between Cognitive Impairment and Oral Health Related Quality of Life: Using Propensity Score Approaches (인지기능과 구강건강관련 삶의 질의 연관성에 대한 연구: 성향점수 분석과 회귀모델을 중심으로)

  • Cha, Suna;Bae, Suyeong;Nam, Sanghun;Hong, Ickpyo
    • Therapeutic Science for Rehabilitation
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    • v.12 no.3
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    • pp.61-77
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    • 2023
  • Objective : This study analyzed the correlation between cognitive function and oral health-related quality of life (OHQoL). Methods : Demographic and clinical characteristics were extracted and utilized for subjects aged 45 years or older who participated in the 8th Korean Longitudinal Study on Aging in 2020. The dependent variable was the Geriatric Oral Health Assessment Index, and the independent variable was the level of cognitive function classified by the Mini-Mental State Examination scores. The analysis method used inverse probability of treatment weighting (IPTW). Then, the association between cognitive function and OHQoL was analyzed by multiple regression analysis. Results : Among the participants, 4,367 (71.40%) had normal cognition, 1,155 (18.89%) had moderate cognitive impairment, and 594 (9.71%) had severe cognitive impairment. As a result of analysis by applying IPTW, there was a negative correlation between the cognitive function group and OHQoL (normal vs. moderate: β = -2.534, p < .0001; normal vs. severe: β = -2.452, p < .0001). Conclusion : After propensity score matching, mild cognitive impairment showed a more negative association than severe cognitive impairment. Therefore, patients with cognitive impairment require oral health management education to improve OHQoL regardless of the level of cognitive impairment.

The Characteristics of the Fish Community in Yeongwol Hanbando Wetland (영월한반도습지의 어류군집 특성)

  • Han, Sang-Jin;Lee, Kwang-Yeol;Yoon, Young-Jin;Choi, Jae-Yoon;Kim, Joon Chul;Choi, Jae-Seok
    • Korean Journal of Environment and Ecology
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    • v.28 no.4
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    • pp.424-431
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    • 2014
  • Analysis of the fish community in Yeongwol Hanbando wetland in Korea was investigated from April to October 2012. During the survey period, total 33 species belonged to 10 families and 7,107 individuals. There were 18 Korean endemic species (52.94 %), including to Acheilognathus signifer. Also, the dominant species were Zacco koreanus at St. 1, 2, 3 & 5, as well Acheilognathus signifer at St. 6, and Pseudopungtungia tenuicorpus at St. 7, respectively, and these species were inhabited in the midstream. But at St. 4, Carassius auratus was dominance, so there appeared to characteristics of downstream or lentic habitat. Also, according to the similarity analysis on fish species and their individuals in each sites, they were divided into three major groups (A,B and C). Among them, group C (St. 4) showed the special inverse characteristics as a stagnant pond. unlike the river branch (group A) and anthropogenic disturbances receiving stream point (group B), Therefore, the ecosystem of Yeongwol Hanbando wetland is considered to very unique and these characteristics are not found in other stream ecosystems and it is confidently believed that the ecological value is very high.

Effect of Postmortem Metabolic Rate on Meat Color

  • Park, B.Y.;Lee, J.M.;Hwang, I.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.4
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    • pp.598-604
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    • 2007
  • The current study was conducted to evaluate carcass characteristics, objectives and sensory meat qualities of Hanwoo longissimus muscle as affected by ultimate pH. Twenty-four steers and bulls ($556{\pm}53$ kg and $0.63{\pm}0.32$cm for live weight and backfat thickness, respectively) were used. As there was a linear relationship (r = 0.77) between lean meat color and ultimate pH, cattles were thus segregated into normal $pH{\leq}5.8$, Normal, n = 13) and DFD (pH>5.8, n = 11) groups. Normal pH group had significantly (p<0.05) higher carcass weight, marbling score and backfat thickness than those for high pH group, while fat color and lean meat color were inverse. In principle component analysis for co-ordinates of DFD and normal meats, fat color, lean meat color, texture, time to pH 6.2 and pH at 24 h postmortem were associated with the positive range of the first factor (67.5%) while backfat thickness marbling score and temperature at 24 h were placed in negative values. The rate constant of decline in pH (pH k) did not differ between the two groups, implying that initial pH (i.e., pH at slaughtering) differed between two groups. Contour mapping of pH k between pH at 1 and 24 h postmortem indicated that high pH k was related to lower pHs at 1 and 24 h postmortem. This suggested that the high pH cattles (i.e., DFD cattle) resulted from their own potential. Although the time to reach pH 6.2 was significantly (p<0.05) shorter for normal meat (i.e., 3.2 h) than that for DFD one (i.e., 19.8 h), there were no significantly differences in both WB-shear force and sensory attributes. Given that the experimental animals were sampled from a similar group, which implies a similar myoglobin pigment content, the current data suggested that pre- and post-slaughter animal handling likely had a significant effect on ultimate pH and consequently meat color of Hanwoo longissimus muscle, and also small animals with lower marbling score and backfat thickness had a higher risk for DFD meat.

Changes in Mean Platelet Volume and Platelet Distribution Width after Therapy in Childhood Idiopathic Thrombocytopenic Purpura (소아 특발성 혈소판 감소성 자반증 환아에서 치료경과에 따른 평균 혈소판용적과 혈소판용적 분포폭의 변동)

  • Kim, Jong Tai;Lee, Kyung Won;Kim, Soon Nam;Kim, Moon Kyu
    • Clinical and Experimental Pediatrics
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    • v.45 no.4
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    • pp.505-511
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    • 2002
  • Purpose : Mean platelet volume(MPV) and platelet distribution width(PDW) are useful parameters in evaluating disorders of platelets. In cases with idiopathic thrombocytopenic purpura(ITP), they change as platelet count increases. In this study, we compared the values of MPV and PDW in ITP patients at diagnosis with those of normal children. We also studied whether the early changes in MPV may predict the clinical course. Methods : From December 1995 to May 2001, 71 patients with ITP were admitted to Ajou University Hospital. They were treated with IVIg 400 mg/kg for five days and MPV, PDW, platelet count were analysed. Normal control group(n=38) was compared. The study group was divided into acute and chronic forms, and also divided into group A, good early responders whose platelets increased more than $100,000/{\mu}L$ within 5 days and group B who did not. Results : Mean value of MPV at diagnosis in ITP patients was lower than the normal control group(P<0.05). In group A, MPV was abruptly increased on the first day after IVIg and then started to decrease. But in group B, MPV was steadily increased until the fourth day after IVIg. In the normal control group, there were inverse correlations between platelet count and MPV(r=-0.415, P<0.05), but in ITP patients, there were positive relationships between platelet count and MPV(r=0.646, P<0.05) at diagnosis. Conclusions : MPV at diagnosis of ITP was lower than the normal control. MPV and PDW could not predict the course of ITP patients, but MPV could distinguish good early responders. More research is needed to find out the reasons of decreased MPV at diagnosis of ITP.

Evaluation of Parameters of Gas Exchange During Partial Liquid Ventilation in Normal Rabbit Lung (토끼의 정상 폐 모델에서 부분액체환기 시 가스교환에 영향을 주는 인자들에 대한 연구)

  • An, Chang-Hyeok;Koh, Young-Min;Park, Chong-Wung;Suh, Gee-Young;Koh, Won-Jung;Lim, Sung-Yong;Kim, Cheol-Hong;Ahn, Young-Mee;Chung, Man-Pyo;Kim, Ho-Joong;Kwon, O-Jung
    • Tuberculosis and Respiratory Diseases
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    • v.52 no.1
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    • pp.14-23
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    • 2002
  • Background: The opitmal ventilator setting during partial liquid ventilation(PLV) is controversial. This study investigated the effects of various gas exchange parameters during PLV in normal rabbit lungs in order to aid in the development of an optimal ventilator setting during PLV. Methods: Seven New-Zealand white rabbits were ventilated in pressure-controlled mode with the following settings; tidal volume($V_T$) 8 mL/kg, positive end-expiratory pressure(PEEP) 4 $cmH_2O$, inspiratory-to-expiratory ratio(I:E ratio) 1:2, fraction of inspired oxygen($F_TO_2$) 1.0. The respiration rate(RR) was adjusted to keep $PaCO_2$ between 35~45 mmHg. The ventilator settings were changed every 30 min in the following sequence : (1) Baseline, as the basal ventilator setting, (2) Inverse ratio, I:E ratio 2:1, (3) high PEEP, adjust PEEP to achieve the same mean inspiratory pressure (MIP) as in the inverse ratio, (4) High $V_T$, $V_T$ 15 mL/kg, (5) high RR, the same minute ventilation (MV) as in the High $V_T$. Subsequently, the same protocol was repeated after instilling 18 mL/kg of perfluorodecalin for PLV. The parameters of gas exchange, lung mechanics, and hemodynamics were examined. Results: (1) The gas ventilation(GV) group showed no significant changes in the $PaO_2$ at all phases. The $PaCO_2$ was lower and the pH was higher at the high $V_T$ and high RR phases(p<0.05). No significant changes in the lung mechanics and hemodynamics parameters were observed. (2) The baseline $PaO_2$ for the PLV was $312{\pm}$ mmHg. This was significantly lower when decreased compared to the baseline $PaO_2$ for GV which was $504{\pm}81$ mmHg(p=0.001). During PLV, the $PaO_2$, was significantly higher at the high PEEP($452{\pm}38$ mmHg) and high $V_T$ ($461{\pm}53$ mmHg) phases compared with the baseline phase. However, it did not change significantly during the inverse I:E ratio or the high RR phases. (3) The $PaCO_2$ was significantly lower at high $V_T$ and RR phases for both the GV and PLV. During the PLV, $PaCO_2$ were significantly higher compared to the GV (p<0.05). (4) There were no important or significant changes in of baseline and high RR phases lung mechanics and hemodynamics parameters during the PLV. Conclusion: During PLV in the normal lung, adequate $V_T$ and PEEP are important for optimal oxygenation.