• Title/Summary/Keyword: $\Phi$지수법

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An Offer of a Procedure Calculating Hourly Rainfall Excess by Use of Horton Infiltration Model in a Basin (유역 단위 Horton 침투모형을 적용한 시간단위 초과우량 산출 절차 제시)

  • Yoo, Ju-Hwan
    • Journal of Korea Water Resources Association
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    • v.43 no.6
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    • pp.533-541
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    • 2010
  • It is basic for a flood prediction to calculate direct runoff from rainfall in a basin by the rainfall-runoff model. The direct runoff is calculated from rainfall excess or effective rainfall based on a rainfall-runoff model. The total rainfall minus rainfall loss equals rainfall excess with time. This loss can be treated equal to an infiltration loss under the assumption that the infiltration is a major one among the losses in the rainfall-runoff model. Practically obtaining the infiltration loss $\Phi$ index method, W index method or modified ones of these have been used. In this study it is assumed the loss of rainfall in a basin be a well-known Horton infiltration mechanism. And in case that the parameter set is given in the Horton infiltration model a procedure and assumption for calculating hourly infiltration loss and rainfall excess are offered and the results of its application are compared with those of $\Phi$ index method. By this study it is well shown the value of Horton infiltration function is exponentially decay with time as the Horton infiltration mechanism.

Linear Solvation Energy Comparison Study in Normal Phase Liquid Chromatography Ⅰ (정상 액체크로마토그래피에서의 선형 용매화에너지 비교법 연구 Ⅰ)

  • Choe, Jang Deok;Jeong, Won Jo
    • Journal of the Korean Chemical Society
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    • v.38 no.3
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    • pp.221-223
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    • 1994
  • We tried to apply the linear solvation energy comparison method to solute retention in normal phase liquid chromatography. Correlation coefficients of regression of lnk' collected in a fixed eluent against solute polarity indices have proven to be lower than those obtained from reversed phase liquid chromatography data. This event can be attributed to complexity of solute retention process in normal phase liquid chromatography. We concluded from the regression results that each specific polarity of the stationary phase is greater than that of the mobile phase and that the difference in each polarity between the stationary phase and the mobile phase decreases as the volume fraction(${\phi}$) of the more polar solvent in the mobile phase increases. Correlations of lnk' of a single solute against solvent polarity indices have proven to be meaningless owing to covariance among the solvent polarity indices. Instead, a good linear relationship between lnk' and solvent ${\pi}^*$ was observed, and its linearity is better than that between lnk' and ${\phi}$.

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Reverse Baby-step 2k-ary Adult-step Method for 𝜙((n) Decryption of Asymmetric-key RSA (비대칭키 RSA의 𝜙(n) 해독을 위한 역 아기걸음- 2k-ary 성인걸음법)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.6
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    • pp.25-31
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    • 2014
  • When the public key e and the composite number n=pq are disclosed but not the private key d in an asymmetric-key RSA, message decryption is carried out by obtaining ${\phi}(n)=(p-1)(q-1)=n+1-(p+q)$ and subsequently computing $d=e^{-1}(mod{\phi}(n))$. The most commonly used decryption algorithm is integer factorization of n/p=q or $a^2{\equiv}b^2$(mod n), a=(p+q)/2, b=(q-p)/2. But many of the RSA numbers remain unfactorable. This paper therefore applies baby-step giant-step discrete logarithm and $2^k$-ary modular exponentiation to directly obtain ${\phi}(n)$. The proposed algorithm performs a reverse baby-step and $2^k$-ary adult-step. As a results, it reduces the execution time of basic adult-step to $1/2^k$ times and the memory $m={\lceil}\sqrt{n}{\rceil}$ to l, $a^l$ > n, hence obtaining ${\phi}(n)$ by executing within l times.

A 2kβ Algorithm for Euler function 𝜙(n) Decryption of RSA (RSA의 오일러 함수 𝜙(n) 해독 2kβ 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.7
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    • pp.71-76
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    • 2014
  • There is to be virtually impossible to solve the very large digits of prime number p and q from composite number n=pq using integer factorization in typical public-key cryptosystems, RSA. When the public key e and the composite number n are known but the private key d remains unknown in an asymmetric-key RSA, message decryption is carried out by first obtaining ${\phi}(n)=(p-1)(q-1)=n+1-(p+q)$ and then using a reverse function of $d=e^{-1}(mod{\phi}(n))$. Integer factorization from n to p,q is most widely used to produce ${\phi}(n)$, which has been regarded as mathematically hard. Among various integer factorization methods, the most popularly used is the congruence of squares of $a^2{\equiv}b^2(mod\;n)$, a=(p+q)/2,b=(q-p)/2 which is more commonly used then n/p=q trial division. Despite the availability of a number of congruence of scares methods, however, many of the RSA numbers remain unfactorable. This paper thus proposes an algorithm that directly and immediately obtains ${\phi}(n)$. The proposed algorithm computes $2^k{\beta}_j{\equiv}2^i(mod\;n)$, $0{\leq}i{\leq}{\gamma}-1$, $k=1,2,{\ldots}$ or $2^k{\beta}_j=2{\beta}_j$ for $2^j{\equiv}{\beta}_j(mod\;n)$, $2^{{\gamma}-1}$ < n < $2^{\gamma}$, $j={\gamma}-1,{\gamma},{\gamma}+1$ to obtain the solution. It has been found to be capable of finding an arbitrarily located ${\phi}(n)$ in a range of $n-10{\lfloor}{\sqrt{n}}{\rfloor}$ < ${\phi}(n){\leq}n-2{\lfloor}{\sqrt{n}}{\rfloor}$ much more efficiently than conventional algorithms.

A Stiudy on the Deveplopment of Algorithm for the Representative Unit Hydrograph of a Watershed as a Closed Linear System. (폐선형계로 본 유역대표 단위유량도의 유도를 위한 알고리즘의 개발에 관한 연구)

  • 김재한;이원환
    • Water for future
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    • v.13 no.2
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    • pp.35-47
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    • 1980
  • An algorithm is developed to derive a representative I hr-unit hydrograph through an analysis of rainfall-runoff relations of a watershed as a closed system. For the base flow seperation of a flood hydrograph the multi-deflection method is proposed herein, which gace better results compared with those by the existing empirical methods. A modified $\Phi$index method is also proposed in this stidy to determine the time distribution rainfall excess of a rainstorm, which is essetially a modification of the commonly used $\Phi$index method of rainfall seperation. With the so-obtained rainfall excess hyetograph and the direct runoff hydrograph a trial and error computation of the ordinates of 1 hr-unit hydrograph was executed in such a manner that the synthesized flood hydrograph closely approximates the observed one, thus resulting a unit hydrograph of a piecewise exponential function type. To verify the validity of this study the 1 hr-unit hydrographs for the Imha and Dongchon in Nagdong River basin, and Yongdam in Geum River basin were derived by this algorithm, and the results were compared with those by the conventional synthetic unit hydrograph method and the Nakayasu method. Besides, the validity of this stiudy was also tested by comparing the observed hydrograph with the one computed by applying the unit hydrograph to a specific rainfall event. To generalize the result of this study a computer program, consisited of a main and three subprograns (for rainfall excess estimation, convolution summation, and sorting), is developed as a package, which is believed to be applicable to other watersheds for the similar purpose as those in this study.

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The influence of implant diameter, length and design changes on implant stability quotient (ISQ) value in artificial bone (임플란트의 직경, 길이 및 디자인변화가 임플란트 안정성지수(ISQ)에 미치는 영향)

  • Lee, Jeong-Yol;Lee, Won-Chang;Kim, Min-Soo;Kim, Jong-Eun;Shin, Sang-Wan
    • The Journal of Korean Academy of Prosthodontics
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    • v.50 no.4
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    • pp.292-298
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    • 2012
  • Purpose: The purpose of this study is to ascertain the stability of the implant by comparing the effects of the change of implant diameter, length and design on implant stability quotient. Materials and methods: To remove the variable due to the difference of bone quality, the uniform density (0.48 g/$cm^3$) Polyuretane foam blocks (Sawbones$^{(R)}$, Pacific Research Laboratories Inc, Vashon, Washington) were used. Implants (Implantium$^{(R)}$, Dentium, Seoul, Korea) were placed with varying diameters (${\phi}3.8$, ${\phi}4.3$ and ${\phi}4.8$) and length (8 mm, 10 mm and 12 mm), to assess the effect on implant stability index (ISQ). Also the influence of the design of the submerged and the non-submerged (SimplelineII$^{(R)}$, Dentium, Seoul, Korea) on ISQ was evaluated. To exclude the influence of insertion torque, a total of 60 implants (n = 10) were placed with same torque to 35 N. Using Osstell$^{TM}$ mentor (Integration Diagnostic AB, Sweden) ISQ values were recorded after measuring the resonant frequency, one-way ANOVA and Tukey HSD test results were analyzed. (${\alpha}$=0.05). Results: 1. The change of the diameter of the implant did not affect the ISQ (P>.05), but the increase of implant length increased the ISQ(P<.001). 2. The change in implant design were correlated with the ISQ, and the ISQ of submerged design was significantly higher than that of the non-submerged design(P<.05). Conclusion: In order to increase implant stability, the longer implant is better to be selected, and on the same length of implant, submerged design is thought to be able to get a higher ISQ than the non-submerged.

Determination of Suitable Antecedent Rainfall Days for Curve Number Estimation (CN값 산정을 위한 적정 선행강우일수의 결정)

  • Lee Myoung Woo;Choi Seoung An;Kim Hung Soo;Shim Myung Pil
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.553-557
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    • 2005
  • 유역의 강우-유출 분석에서 유효우량의 산정은 매우 중요하다고 할 수 있다. 이러한 유효우량의 산정에서 대상호우에 대한 유출량 자료가 있는 경우는 침투지수법(infiltration index method)중 하나인 $\Phi$-지표법이나 W-지표법을 사용하여 그 양을 산정할 수 있다. 그러나 대상호우에 대한 유출량 자료가 없는 경우는 침투지수법을 이용하여 유효우량을 산정 할 수 없으며, 이러한 경우 유역의 토양 특성과 식생피복 상태에 대한 자료만으로 총우량으로부터 유효우량을 산정할 수 있는 NRCS(Natural Resources Conservation Service)의 유효우량 산정방법이 널리 사용되고 있다. NRCS유효우량 산정 방법은 선행토양함수조건(antecedent moisture condition, AMC)을 이 용하여 유출곡선지수(runoff curve number, CN)를 결정하는데, 이때 AMC의 산정을 위해 선행5일강우량(total 5-day antecedent rainfall)을 그 기준으로 하고 있으나, 이는 미국의 유역을 대상으로 하여 얻어진 결과이므로 이를 국내 유역에 검증 없이 적용하는 데에는 문제가 있을 것으로 예상되었다. 따라서 본 연구에서는 HEC-HMS모형을 이용하여 선행강우일수을 변화시켜 가면서 실제 유역의 강우-유출에 적용하여 본 뒤 강우-유출을 가장 잘 모의하는 선행강우일수을 결정하였다. 이를 위해, IHP 대상유역인 보청천의 탄부소유역에 대하여 AMC의 산정을 위한 선행강우량을 1일부터 7일까지 변화시키며 적용한 결과 탄부소유역에서는 선행2일강우량이 가장 적합한 결과를 주는 것으로 나타났다. 국내 유역에서 NRCS유효유량 산정방법을 통한 강우-유출모의시 보다 정확한 값을 산정하기 위해서는 대상유역에 적합한 선행 강우일수의 결정이 중요하리라 판단된다.인 분석을 수행하고, 배수갑문 개방에 의한 수질개선효과를 최대화하기 위한 환경관리 방안 제시에 중점을 두어 수행하였다.ncy), 환경성(environmental feasibility) 등을 정성적으로(qualitatively) 파악하여 실현가능한 대안을 선정하였다. 이렇게 선정된 대안들은 중유역별로 검토하여 효과가 있을 것으로 판단되는 대안들을 제시하는 예비타당성(Prefeasibility) 계획을 수립하였다. 이렇게 제시된 계획은 향후 과학적인 분석(세부평가방법)을 통해 대안을 평가하고 구체적인 타당성(feasibility) 계획을 수립하는데 토대가 될 것이다.{0.11R(mm)}(r^2=0.69)$로 나타났다. 이는 토양의 투수특성에 따라 강우량 증가에 비례하여 점증하는 침투수와 구분되는 현상이었다. 경사와 토양이 같은 조건에서 나지의 경우 역시 $Ro_{B10}(mm)=20.3e^{0.08R(mm)(r^2=0.84)$로 지수적으로 증가하는 경향을 나타내었다. 유거수량은 토성별로 양토를 1.0으로 기준할 때 사양토가 0.86으로 가장 작았고, 식양토 1.09, 식토 1.15로 평가되어 침투수에 비해 토성별 차이가 크게 나타났다. 이는 토성이 세립질일 수록 유거수의 저항이 작기 때문으로 생각된다. 경사에 따라서는 경사도가 증가할수록 증가하였으며 $10\% 경사일 때를 기준으로 $Ro(mm)=Ro_{10}{\times}0.797{\times}e^{-0.021s(\%)}$로 나타났다.천성 승모판 폐쇄 부전등을 초래하는 심각한 선천성 심질환이다. 그러나 진단 즉시 직접 좌관상동맥-대동맥 이식술로 수술적 교정을 해줌으로써 좋은 성적을 기대할 수 있음을 보여주었다.특히 교사들이 중요하게 인식하는 해방적 행동에 대한 목표를 강조하여 적용할 필요가 있음을 시사하고

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Determination of Dimensionless Daily Unit Hydrograph for Groundwater Flow by Autoregressive Model (자기회귀모형에 의한 무차원 일 지하수단위도 결정)

  • 김재한;전민우
    • Proceedings of the Korea Water Resources Association Conference
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    • 1986.07a
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    • pp.23-33
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    • 1986
  • 일강우를 여러가지 성분들이 포함된 백색잡음으로 가정하면, 이로부터 기저유출 성분을 분리하기 위하여 선형론이 적용될 수 있다. 선형론에는 단위충격응답이 요구 되어지므로, 본 연구에서는 이를 추계학적 자기회귀모형에 의하여 추정한다. 자기회귀계수는 기지의 기저유출성분과 이에 해당되는 강우의 지하침투량으로부터 모멘트법에 의하여 결정한다. 기지의 기저유출성분은 주 지하수감수곡선에 의하여 추정되어지며, 지하침투량은 $\Phi$-지수 개념하에 전 강우기간에 걸쳐 일정 침투율의 방법으로부터 구한다. 본 연구방법을 금강유역내 용담집수면적(937$\textrm{km}^2$)에 적용한 결과 상당히 미끈한 수문곡선을 얻을 수 있었으며, 각 호우-유출 사상별 회귀계수의 차수는 공히 2차로 나타났다.

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Influence of the RF Power on the Optical and Electrical Properties of ITZO Thin Films Deposited on SiO2/PES Substrate (RF파워가 SiO2/PES 기판위에 증착한 ITZO 박막의 광학적 및 전기적 특성에 미치는 효과)

  • Choi, Byeong-Kyun;Joung, Yang-Hee;Kang, Seong-Jun
    • The Journal of the Korea institute of electronic communication sciences
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    • v.16 no.3
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    • pp.443-450
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    • 2021
  • After selecting a PES substrate with excellent thermal stability and optical properties among plastic substrates, a SiO2 thin film was deposited as a buffer layer to a thickness of 20nm by plasma-enhanced chemical vapor deposition to compensate for the high moisture absorption. Then, the ITZO thin film was deposited by a RF magnetron sputtering method to investigate electrical and optical properties according to RF power. The ITZO thin film deposited at 50W showed the best electrical properties such as a resistivity of 8.02×10-4 Ω-cm and a sheet resistance of 50.13Ω/sq.. The average transmittance of the ITZO thin film in the visible light region(400-800nm) was relatively high as 80% or more when the RF power was 40 and 50W. Figure of Merits (ΦTC and FOM) showed the largest values of 23.90×10-4-1 and 5883 Ω-1cm-1, respectively, in the ITZO thin film deposited at 50W.

Development of the Linear Regression Analysis Model to Estimate the Shear Strength of Soils (흙의 전단강도 산정을 위한 선형회귀분석모델 개발)

  • Lee, Moon-Se;Ryu, Je-Cheon;Kim, Kyeong-Su
    • The Journal of Engineering Geology
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    • v.19 no.2
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    • pp.177-189
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    • 2009
  • The shear strength has been managed as an important factor in soil mechanics. The shear strength estimation model was developed to evaluate the shear strength using only a few soil properties by the linear regression analysis model which is one of the statistical methods. The shear strength is divided into two part; one is the internal friction angle (${\phi}$) and the other is the cohesion (c). Therefore, some valid soil factors among the results of soil tests are selected through the correlation analysis using SPSS and then the model are formulated by the linear regression analysis based on the relationship between factors. Also, the developed model is compared with the result of direct shear test to prove the rationality of model. As the results of analysis about relationship between soil properties and shear strength, the internal friction angle is highly influenced by the void ratio and the dry unit weight and the cohesion is mainly influenced by the void ratio, the dry unit weight and the plastic index. Meanwhile, the shear strength estimated by the developed model is similar with that of the direct shear test. Therefore, the developed model may be used to estimate the shear strength of soils in the same condition of study area.