• Title/Summary/Keyword: division of rational number

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A study on the detection probabilities of pixel defects with respect to their locations on the TFT-LCD (TFT-LCD의 품질검사기준 설정을 위한 픽셀결점 탐지도 평가)

  • 김상호;양승준
    • Proceedings of the Safety Management and Science Conference
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    • 2004.05a
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    • pp.283-289
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    • 2004
  • The number of pixel defects including bright and black dots on a panel is one of the critical factors determining the quality of TFT-LCD. Since pixel defects on the TFT-LCD panels are sometimes unavoidable, manufacturers have to inspect the panels so that any panel with an unacceptable number of defects will not be delivered to the buyers. However, the buyers demand for the manufacturers to meet different pixel defects tolerances (acceptable number of pixel defects on a TFT-LCD panel) around central(tight) and peripheral(loose) inspection zones. The disagreement in quality standard among different buyers also cause confusions in screening non-confirmative products and unstable yield of production. Few research has focused on the effects of defect locations on a TFT-LCD panel on their detection probabilities and the rational division of defect inspection zones. In this research, experiments were conducted to find the detection probabilities of black dot defects with respect to their varying locations on a TFT-LCD. It is proposed a rational division of inspection zone on a TFT-LCD panel on the basis of detection probabilities of the defects. With these division of inspection zones and the mean defect detection probability within each zone, it is expected to establish a more reasonable pixel defects tolerances.

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On Explaining Rational Numbers for Extending the Number system to Real Numbers (실수로의 수 체계 확장을 위한 유리수의 재해석에 대하여)

  • Shin, Bo-Mi
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.285-298
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    • 2008
  • According to the 7th curriculum, irrational numbers should be introduced using infinite decimals in 9th grade. To do so, the relation between rational numbers and decimals should be explained in 8th grade. Preceding studies remarked that middle school students could understand the relation between rational numbers and decimals through the division appropriately. From the point of view with the arithmetic handling activity, I analyzed that the integers and terminating decimals was explained as decimals with repeating 0s or 9s. And, I reviewed the equivalent relations between irrational numbers and non-repeating decimals, rational numbers and repeating decimals. Furthermore, I suggested an alternative method of introducing irrational numbers.

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Performance Improvement of OFDM Receivers by Using Rational Oversampling of the Received Signals (수신신호의 비정수배 과표본화를 이용한 OFDM 수신기의 성능 개선)

  • Lee, Young-Su;Seo, Bo-Seok
    • Journal of Digital Contents Society
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    • v.10 no.2
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    • pp.189-198
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    • 2009
  • In this paper, we propose a method to improve the performance of orthogonal frequency division multiplexing (OFDM) receivers by using oversampling the received signals. Demodulation of the received OFDM signals is to detect the amplitude and phase components of the subcarriers. From the oversampled OFDM signals, we can get redundant informations in frequency domain for the data, which are different in phase but the same in amplitude. By using these properties, we can obtain signal to noise ratio (SNR) gain by the oversampling ratio compared to the receivers which sampled with symbol rate. In this paper, we propose oversampled receivers whose oversampling ratio is expanded from integer to general rational number. Through computer simulations, we show the validity of the proposed methods by comparing the performance of the receivers with nonideal band-limiting filters.

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A Study on the Teaching of 'a Concept of Fraction as Division($b{\div}a=\frac{b}{a}$)' in Elementary Math Education - Based on a Analysis of the Korean Successive Elementary Math Textbooks (초등수학에서 '나눗셈으로서의 분수($b{\div}a=\frac{b}{a}$)' 개념 지도에 관한 연구 - 한국의 역대 초등수학 교과서에 대한 분석을 중심으로)

  • Kang, Heung Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.425-439
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    • 2014
  • The concept of a fraction as division is a core idea which serves as a axiom in the process of a extension of the natural number system to rational number system. Also, it has necessary position in elementary mathematics. Nevertheless, the timing and method of the introduction of this concept in Korean elementary math textbooks is not well established. In this thesis, I suggested a solution of a various topics which is related to this problem, that is, transforming improper fraction to mixed number, the usage of quotient as a term, explaining the algorithm of division of fraction, transforming fraction to decimal.

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The Type of Fractional Quotient and Consequential Development of Children's Quotient Subconcept of Rational Numbers (분수 몫의 형태에 따른 아동들의 분수꼴 몫 개념의 발달)

  • Kim, Ah-Young
    • Journal of Educational Research in Mathematics
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    • v.22 no.1
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    • pp.53-68
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    • 2012
  • This paper investigated the conceptual schemes four children constructed as they related division number sentences to various types of fraction: Proper fractions, improper fractions, and mixed numbers in both contextual and abstract symbolic forms. Methods followed those of the constructivist teaching experiment. Four fifth-grade students from an inner city school in the southwest United States were interviewed eight times: Pre-test clinical interview, six teaching / semi-structured interviews, and a final post-test clinical interview. Results showed that for equal sharing situations, children conceptualized division in two ways: For mixed numbers, division generated a whole number portion of quotient and a fractional portion of quotient. This provided the conceptual basis to see improper fractions as quotients. For proper fractions, they tended to see the quotient as an instance of the multiplicative structure: $a{\times}b=c$ ; $a{\div}c=\frac{1}{b}$ ; $b{\div}c=\frac{1}{a}$. Results suggest that first, facility in recall of multiplication and division fact families and understanding the multiplicative structure must be emphasized before learning fraction division. Second, to facilitate understanding of the multiplicative structure children must be fluent in representing division in the form of number sentences for equal sharing word problems. If not, their reliance on long division hampers their use of syntax and their understanding of divisor and dividend and their relation to the concepts of numerator and denominator.

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ON NONLINEAR POLYNOMIAL SELECTION AND GEOMETRIC PROGRESSION (MOD N) FOR NUMBER FIELD SIEVE

  • Cho, Gook Hwa;Koo, Namhun;Kwon, Soonhak
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.1-20
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    • 2016
  • The general number field sieve (GNFS) is asymptotically the fastest known factoring algorithm. One of the most important steps of GNFS is to select a good polynomial pair. A standard way of polynomial selection (being used in factoring RSA challenge numbers) is to select a nonlinear polynomial for algebraic sieving and a linear polynomial for rational sieving. There is another method called a nonlinear method which selects two polynomials of the same degree greater than one. In this paper, we generalize Montgomery's method [12] using geometric progression (GP) (mod N) to construct a pair of nonlinear polynomials. We also introduce GP of length d + k with $1{\leq}k{\leq}d-1$ and show that we can construct polynomials of degree d having common root (mod N), where the number of such polynomials and the size of the coefficients can be precisely determined.

Interaction between Particle with Dual Ligand and Cell under Flow (유동장내 길이가 다른 두 개의 리간드가 부착된 입자-세포간 상호작용)

  • Yoon, Jung Hyun;Lee, Sei Young
    • Journal of Biomedical Engineering Research
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    • v.43 no.2
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    • pp.71-80
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    • 2022
  • The interaction between dual-ligand decorated particle-based delivery system and target cell under shear flow is predicted using probability model developed. We assumed the two kinds of ligand are decorated on the surface of the particle with 10% length difference. Fixed with other biophysical parameters, a study on the particle-cell interaction for the different non-specific interaction parameter is performed. To induce the firm adhesion, short ligand-receptor should be engaged. Also, it is shown that the rational design of ligand-receptor interaction, including receptor number, specific interaction parameter, kinds of ligand-receptor, etc., should be considered.

Drug Use Evaluation of Vancomycin in Hospitalized Patients of Surgery Departments (외과계 입원환자에 대한 Vancomycin의 약물사용 평가)

  • Lee, Young Mee;Choi, Kyung Eob
    • Korean Journal of Clinical Pharmacy
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    • v.9 no.1
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    • pp.35-43
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    • 1999
  • Over the last 50 years, a number of antibiotic agents have been developed and clinically used in the area of infectious diseases. Due to antimicrobial resistance problems and increasing health care costs, the rational use of antibiotics has been required. As a drug of choice to treat infections caused by MRSA, vancomycin has been extensively prescribed since the late 1970's. Recently, reports of vancomycin-resistant organisms such as VRE and VRSA have been increased to draw medical concerns. The objectives of this study were to evaluate the rational use of vancomycin and the appropriateness of the Restrictional Program of Antibiotic Utilization (RPAU) which has been operated at Samsung Medical Center. A retrospective chart review was performed in 132 hospitalized patients treated with vancomycin in the surgery departments from. January to June 1998. The guidelines of ASHP and HICPAC for vancomycin were modified and used as our criteria to determine the vancomycin DUE. In one hundred out of the patients, uses of vancomycin were approved by the Department of Infectious Diseases (DID) based on the RPAU. Vancomycin was appropriately used in $62.5\%$ of the 100 patients according to the criteria of justification of use, while $60.0\%,\;60.0\%,\;79.0\%,\;and\;51.0\%$ of the patients showed appropriate according to those of lab reports such as applicable culture obtained, pretreatment SCr, WBC and serum drug concentration monitoring, respectively. Although the rest 32 patients were not approved to receive vancomycin by the DID, twenty two percent continued receiving vancomycin treatment. This might result from the fact that the RPAU was started not before the use of antibiotics but in the middle of antimicrobial therapy. Continual education should be provide to the related health professionals and the RPAU should be simultaneously modified in order to increase the rate of appropriate uses of antibiotics.

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Epidemiological Cut-off Values Generated for Disc Diffusion Data from Photobacterium damselae (Photobacterium damselae의 디스크 확산법 결과에 대한 Epidemiological Cut-off Value의 결정)

  • Kwon, Mun-Gyeong;Lim, Yun-Jin;Kim, Myoung-Sug;Seo, Jung-Soo;Kim, Do-Hyung
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.49 no.6
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    • pp.838-844
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    • 2016
  • In this study, epidemiological cut-off values were estimated for 44 Photobacterium damselae isolates, since clinical breakpoints have not been established for this pathogenic bacterium. The susceptibility of the isolates to 10 antibiotics was evaluated using internationally standardized disc diffusion protocols. Normalized resistance interpretation was used to generate statistically valid epidemiological cut-off values for the susceptibility data. There were not enough strains exhibiting full sensitivity to ampicillin and amoxicillin to allow analysis of these antibiotics. Because there were only a marginally sufficient number of strains exhibiting full sensitivity to oxytetracycline, the cut-off value generated provided only a provisional estimate. The valid wild-type cut-off values were <13, 13, 9, 22, 25, 27, and 28 mm for gentamicin, cephalexin, erythromycin, oxolinic acid, flumequine, florfenicol, and sulfamethoxazole/trimethoprim, respectively. The application of these cut-off values should greatly facilitate the rational selection of antibiotics for use in commercial fish farms.

Exploring the Issues and Improvements of the Quotient and the Reminder of the Decimal Division (소수 나눗셈의 몫과 나머지에 대한 논점과 개선 방안)

  • Lee, Hwayoung
    • Education of Primary School Mathematics
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    • v.24 no.2
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    • pp.103-114
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    • 2021
  • In this study I recognized the problems with the use of the terms 'quotient' and 'reminder' in the division of decimal and explored ways to improve them. The prior studies and current textbooks critically analyzed because each researcher has different views on the use of the terms 'quotient' and 'reminder' because of the same view of the values in the division calculation. As a result of this study, I proposed to view the result 'q' and 'r' of division of decimals by division algorithms b=a×q+r as 'quotient' and 'reminder', and the amount equal to or smaller to q the problem context as a final 'result value' and the residual value as 'remained value'. It was also proposed that the approximate value represented by rounding the quotient should not be referred to as 'quotient'.