• Title/Summary/Keyword: Linear formula

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The Relative Effectiveness of Various Radiation Sources on the Resistivity Change in n-Type Silicon

  • Jung, Wun
    • Nuclear Engineering and Technology
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    • v.1 no.2
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    • pp.91-101
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    • 1969
  • Resistivity changes of n-type float-zone silicon crystals with 6.4$\times$10$^{14}$ to 1.25$\times$10$^{17}$ phosphorus atoms/㎤ due to irradiation by (1) 1 MeV electrons, (2) two types of research reactors, and (3) $Co^{60}$ ${\gamma}$-ray sources were investigated. The results were analyzed on the basis of a simple exponential formula derived by Buehler. While the formula gave a fair fit in the low fluence range in most cases, the deviation was quite appreciable in the case of 1 MeV electron irradiation, and a linear change gave better fit in some cases. The large change in the carrier removal rate in electron-irradiated samples in the high fluence range was analyzed in detail in terms of the Fermi level cross-over of the defect levels. Based on the damage constants evaluated from the initial portion of data where the formula was applicable, the relative effectiveness of various radiation sources in causing the resistivity change in n-type silicon was compared. The TRIGA Mark II reactor neutrons, for example, were found to be about 40 times more effective than 1 MeV electrons. The dependence of the damage constant on the initial carrier concentration was also examined. The physical basis of the exponential law and the effect of the Fermi level cross-over of the defect levels on the resistivity change in the high fluence ranges are discussed.

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Estimation of hourly daytime air temperature on slope in complex terrain corrected by hourly solar radiation (복잡지형 경사면의 일사 영향을 반영한 매시 낮 기온 추정 방법)

  • Yun, Eun-jeong;Kim, Soo-ock
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.20 no.4
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    • pp.376-385
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    • 2018
  • To estimate the hourly temperature distribution due to solar radiation during the day, on slope in complex terrain, an empirical formula was developed including the hourly deviation in the observed temperature following solar radiation deviation, at weather stations on the east-facing and west-facing slopes. The solar radiation effect was simulated using the empirical formula to estimate hourly temperature at 11 weather observation sites in mountainous agricultural areas, and the result was verified for the period from January 2015 to December 2017. When the estimated temperature was compared with the control, only considering temperature lapse rate, it was found that the tendency to underestimate the temperature from 9 am to 3 pm was reduced with the use of an empirical formula in the form of linear expression; consequently, the estimation error was reduced as well. However, for the time from 5 pm to 6 pm, the estimation error was smaller when a hyperbolic equation drawn from the deviation in solar radiation on the slope, which was calculated based on geometric conditions, was used instead of observed values. The reliability of estimating the daytime temperature at 3 pm was compared with existing estimation model proposed in other studies; the estimation error could be mitigated up to an ME (mean error) of $-0.28^{\circ}C$ and RMSE (root mean square error) of $1.29^{\circ}C$ compared to the estimation error in previous models (ME $-1.20^{\circ}C$, RMSE $2.01^{\circ}C$).

Analysis of Statistical Characteristics of Pier-Scour Depth Formula Using Hydraulic Experiment Data (수리모형실험 자료를 이용한 교각 세굴심 산정공식의 통계적 특성 분석)

  • Kim, Jong-Sub;Chang, Hyung-Joon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.22 no.6
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    • pp.349-356
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    • 2021
  • Since the 1960s, traffic infrastructure, such as bridges, has increased rapidly in Korea as urbanization and industrialization progressed due to economic growth. As the scale of the bridge becomes larger, stability analysis of the superstructure of the bridge is being conducted actively, but scour stability analysis for the substructure of the bridge has not been conducted sufficiently. This study is a basic investigation to prevent large-scale disasters caused by scouring in bridge piers. A simple linear regression model was used to analyze the scour depth calculated through seventeen scour depth calculation formulae, and the scour depth measured through hydraulic model experiments. As a result, the Coleman (1971) formula was the best method among the scour depth calculation formulae, and the Froehlich (1987) formula was the most effective method for calculating the scour depth. In addition, a review using a simple regression model confirmed that the scour depth calculation formulae of CSU (1993), Coleman (1971), and Froehlich (1987) can predict a similar scour depth by reflecting domestic stream characteristics. This study can calculate the scour depth reflecting the environmental conditions of Korea in future stream design.

Efficient Masking Method to Protect SEED Against Power Analysis Attack (전력 분석 공격에 안전한 효율적인 SEED 마스킹 기법)

  • Cho, Young-In;Kim, Hee-Seok;Choi, Doo-Ho;Han, Dong-Guk;Hong, Seok-Hie;Yi, Ok-Yeon
    • The KIPS Transactions:PartC
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    • v.17C no.3
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    • pp.233-242
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    • 2010
  • In the recent years, power attacks were widely investigated, and so various countermeasures have been proposed. In the case of block ciphers, masking methods that blind the intermediate results in the algorithm computations(encryption, decryption) are well-known. In case of SEED block cipher, it uses 32 bit arithmetic addition and S-box operations as non-linear operations. Therefore the masking type conversion operations, which require some operating time and memory, are required to satisfy the masking method of all non-linear operations. In this paper, we propose a new masked S-boxes that can minimize the number of the masking type conversion operation. Moreover we construct just one masked S-box table and propose a new formula that can compute the other masked S-box's output by using this S-box table. Therefore the memory requirements for masked S-boxes are reduced to half of the existing masking method's one.

Approximate Shear Strength Formula Implied in the Generalized Hoek-Brown Failure Criterion (일반화된 Hoek-Brown 파괴조건식에 내포된 전단강도 근사식)

  • Lee, Youn-Kyou
    • Tunnel and Underground Space
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    • v.28 no.5
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    • pp.426-441
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    • 2018
  • Recently, the generalized Hoek-Brown (GHB) failure criterion has been actively employed in various rock engineering calculations, but the analytical form of the corresponding Mohr failure envelope is not available, making it difficult to extend the application of the GHB criterion. In order to overcome this disadvantage, this study proposes a new method to express the tangential friction angle as an explicit function of normal stress by invoking the polynomial best-fitting to the relationship between normal stress and tangent friction angle implied in the GHB failure function. If this normal stress - tangential friction angle relationship is best-fitted with linear or quadratic polynomial function, it is possible to find the analytical root for tangential friction angle. Subsequently, incorporating the root into the relationship between shear stress and tangential friction angle accomplishes the derivation of the approximate Mohr envelope for the GHB criterion. It is demonstrated that the derived approximate Mohr failure envelopes are very accurate in the entire range of GSI value.

A Case Study on Teaching and Learning of the Linear Function in Constant Velocity Movement: Focus on Integrated Curriculum of Mathematics and Science (등속도 운동에서 일차함수 교수-학습 과정에 관한 사례연구: 수학과 과학의 통합교육 관점을 기반으로)

  • Shin, Eun-Ju
    • Journal of Educational Research in Mathematics
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    • v.15 no.4
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    • pp.419-444
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    • 2005
  • As a theoretical background for this research, the literatures which focus on teaching and loaming of connecting with mathematics and science were investigated. And the rationale of integrated curriculum on the basis of the 7th mathematics curriculum and the goal of mathematics education and the forms of integrated curriculum and the integrated curriculum in foreign school were investigated. Depending on this review, the implement method of the integrated curriculum of mathematics and science in Korea school is suggested as the following: It requires designing inter-disciplinary into-grated problem or various teaching and learning materials which are based upon concept, skill, and principle by commonality found across the subject matter. Based on the analyses upon described above, three inter-disciplinary integrated teaching and learning materials were developed. And then, based on the case stud)', the research questions were analyzed in depth. Students could understand the developing process of linear function, develop the formula and grape representing the relationship between time and velocity, time and distance, and interpret realistic meaning of the slope.

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Study on Design Principle of Reverse Curve in Superhighway (Superhighway 연속곡선의 설계 방침에 대한 연구)

  • Kim, Sungkyu;Kim, Sangyoup;Choi, Jaisung;Min, Dongchan;Jang, Youngsoo;Shin, Joonsoo
    • International Journal of Highway Engineering
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    • v.16 no.6
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    • pp.169-179
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    • 2014
  • PURPOSES : This study is to conduct the research on the design principle for the driver's safety and comfort in installing consecutive curves of superhighway. METHODS : Superhighway does not currently exist in domestic area. Thus, this study is conducted by collecting driving behavior usage of 30 people who are involved in the members of the virtual driving simulation. By identifying the distribution characteristics of each scenario in ANOVA & Tukey Test, the distribution are categorized into three groups. RESULTS : In the case of Group A in Section 3 (R2 entry part), lane departure exceeds the safety standard, which means to be risky condition. And then in the case of Group B and C, the lane departure values applying theoretical formula was evenly distributed compared to the proven values. CONCLUSIONS : Based on the result, the continuous curve design principles at superhighway should follow three standards as follow. First, an additional linear part needs to be inserted between two curves. Second, what if inserting the linear part is difficult, it would be better to insert a curve more than 2,000m. Third, R1/R2 ratio should not be over two. This design primarily aims to the safety of the operator. Such road alignment also meets the expectations of drivers, thus, it may help drivers to be compatible and amenable while driving continuous curve in superhighway.

Comparison of measurement errors between conventional, digital cephalographs and hardcopies (일반 및 디지탈 측모두부방사선 규격사진, 하드카피의 계측오차 또는 확대율 비교)

  • Lee, Tae-Ho;Lee, Ki-Soo;Nam, Jong-Hyun;Kang, Yoon-Goo
    • The Journal of the Korean dental association
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    • v.47 no.5
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    • pp.282-290
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    • 2009
  • The purpose of this study was to evaluate the measurement error between conventional films, digital cephalographs and hardcopy. The material consisted of 29 cephalographs which used image modality of Asahi CX-90SP in the Kyung Hee University Dental Hospital. One observer measured fiducial measurements at an interval of four weeks. Measurement error was tested by Dahlberg's formula. A paired t-test was used to detect it between each modality. The results are as follows; 1. The monitor-displayed digital image showed enlargement compared with the conventional image. The cephalometric measurements of the monitor-displayed digital image and conventional image were no statistically significant difference except SNB. 2. In conventional image, measurement errors of linear and angular measurements were 0.23mm, $0.36^{\circ}$, respective. In monitor-displayed digital image, measurement errors of linear and angular measurements were 0.63mm, $0.48^{\circ}$ respective. 3. The reduction ratio of hardcopy was 1.01% compared to the monitor-displayed digital image. Based on the results, it indicates that the digital cephalographs and hardcopy using storage phosphor digital radiography showed the same accuracy as the conventional films in clinical use.

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Fractal Image Coding for Improve the Quality of Medical Images (의료영상의 화질개선을 위한 프랙탈 영상 부호화)

  • Park, Jaehong;Park, Cheolwoo;Yang, Wonseok
    • Journal of the Korean Society of Radiology
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    • v.8 no.1
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    • pp.19-26
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    • 2014
  • This paper suggests techniques to enhance coding time which is a problem in traditional fractal compression and to improve fidelity of reconstructed images by determining fractal coefficient through adaptive selection of block approximation formula. First, to reduce coding time, we construct a linear list of domain blocks of which characteristics is given by their luminance and variance and then we control block searching time according to the first permissible threshold value. Next, when employing three-level block partition, if a range block of minimum partition level cannot find a domain block which has a satisfying approximation error, we choose new approximation coefficients using a non-linear approximation of luminance term. This boosts the fidelity. Our experiment employing the above methods shows enhancement in the coding time more than two times over traditional coding methods and shows improvement in PSNR value by about 1-3dB at the same compression rate.

A Study on the Earthwork Volume Decision using the Spline Interpolation (Spline보간법을 이용한 토공량결정에 관한 연구)

  • 문두열
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.18 no.3
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    • pp.305-313
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    • 2000
  • The calculation of earthwork plays a major role in plan or design of many civil engineering projects, and thus it has become very important to advanced the accuracy of earthwork calculation. Current methods used for estimating the volume of pit excavation assumes that the ground profile between the grid points is linear(trapezoidal rule), or nonlinear(simpson's formulas). Generally speaking. the nonlinear profile formulas provide better accuracy than the linear profile formulas. However, all the formulas mentioned have a common drawback to ground profile, such as sharp corners or the grid points of any two straight lines. In this paper, mathematical model for a searching examination the drawbacks of the current methods is presented. Also, the presented formular, the spot height method, and chamber formulas, chen and lin method are compared with the volumes of the pits in these examples. As a result of this study, algorithm of a proposal area formula by spline method should provide a better accuracy than the spot height method, chamber formulas, chen and lin method. The mathematical model mentioned make an offer maximum accuracy in estimating the volume of a pit excavation.

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