• 제목/요약/키워드: Logarithm

검색결과 476건 처리시간 0.026초

Studies on the Distribution Coefficient of the Primary, Secondary, Tertiary Amine and Quaternary Ammonium-methylorange Salts

  • Kim, Bak-Kwang
    • YAKHAK HOEJI
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    • 제18권3호
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    • pp.183-189
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    • 1974
  • Distribution coefficients between nitrobanzene solution and deionized water, show a straight line when the number of alkyl radicals against the logarithm of distribution coefficient of the salts was plotted. After extracting salts of the indicator and the cationic surfactants with organic solvents, and employing the colorimetric method was used. A calculation method of distribution coefficients of the salts in the organic solvent has been suggested and it could be used for the extraction equilibrium of the primary amine, $CH_{3}(CH_2)_{n}NH_3^+$ secondary amine, $CH_{3}(CH_2)_{n}NH_{2}(CH_3)^+$, tertiary amine $CH_{3}(CH_2)_{n}NH(CH_3)_2^+$ and quaternary ammonium, $CH_{3}(CH_2)_{n}N(CH_3)_3^+$MO$^-$salts, (n=3,5,7,11).

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Effect of Diethylphthalate on the Release of Salicylic Acid from Ethylcellulose Films (소수성 가소제 Diethylphthalate가 Ethylcellulose 필름으로부터의 살리씰산 방출에 미치는 영향)

  • 이승용;신상철;이민화;심창구
    • YAKHAK HOEJI
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    • 제28권3호
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    • pp.169-177
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    • 1984
  • Release characteristics of salicylic acid from ethylcellulose(EC) films containing varying ratio of dieththylphthalate (DEP) were studied. Mathematical analysis of the release data showed that the release behavior actually conforms with the Higuchi's diffusion-controlled model. The release rate constants(k) were independent from the film thickness and the pH of release medium, but were proportional to the concentration of salicylic acid itself. The logarithm of the release rate constant (log k) increased as the concentration of DEP was increased. In conclusion, hydrophobic plastisizer DEP seemed to be very useful in controlling release rate constant of slightly soluble drugs as like salicylic acid without changing it's release characteristics.

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A study on the tensile property and corrosion resistance of austenitic stainless base and weld metal (오스테나이트계 스테인리스강 모재 및 용접부의 인장특성과 내식성에 관한 연구)

  • 정호신;김조권;엄동석
    • Journal of Welding and Joining
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    • 제14권4호
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    • pp.71-78
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    • 1996
  • The effect of chemical composition on mechanical properry and corrosion resistance of austenitic stainless steel was investigated. The main results obtained were as follows : 1. There was a linear relationship between the tensile strength of stainless steel and the $Cr_{eq}/Ni_{eq}$. The larger the $Cr_{eq}/Ni_{eq}$ was the higher the tensile strength of stainless steel. 2. There was a good correlationship between $Cr_{eq}/Ni_{eq}$ and intergranular, gerneral corrsion rate. 3. Intergranular corrosion rate decreased linearly with increasing Cr content. 4. General corrosion rate decreased linearly with increasing Ni content. 5. Logarithm corrosion rate of intergranular and general corrosion has a linear relationship with all of the factor of $Cr_{eq}/Ni_{eq}$, Cr and Ni content.

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Simple and Efficient Stopping Criteria for W-CDMA Turbo Decoding (W-CDMA 터보디코딩을 위한 효율적인 Stopping Criteria)

  • 이동수;박인철
    • Proceedings of the IEEK Conference
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    • 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
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    • pp.265-268
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    • 2003
  • In this paper, we propose new simple and efficient stopping criteria for W-CDMA turbo decoding. The new criteria are based on the sum of logarithm of absolute extrinsic information values and the count of one-estimations calculated after each component decoder. The calculation of the proposed criteria can be made simpler by summing one of ten values without any penalty. This Proposed method can be implemented with negligible overhead and no extra memory. Simulation results on W-CDMA standard shows that the number of iterations required is reduced compared to the existing stopping criteria without degrading the BER performance. Reduced iterations and simple operations make the proposed criteria desirable for low-power turbo decoder.

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Complexity of Boolean matrices in finite fiels (유한체에서 Boolean 행렬의 복잡도에 관한 연구)

  • 조인호;임종인;정석원
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 한국정보보호학회 1992년도 정기총회및학술발표회
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    • pp.131-138
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    • 1992
  • 공용키 암호법의 대표적인 것으로 El Gamal 암호법과 RSA 암호법이 있는데, RAS 암호법은 정수의 인수분해가 어렵다는 것에 안전성을 둔 반면에 El Gamal 암호법은 discrete logarithm을 푸는 것이 어렵다는데 안전성을 두고 있다. (6) 그런데 유한체상의 멱승과 곱셈이 효율적으로 수행이 된다면 El Gamal 암호법이 유용하다는 사살을 알게 되었다. 그런데 Copperxmith의 이산로그 알고리즘을 이용하면 n〉1000이 되어야 El Gamal 암호법이 안전성을 보장 받을 수 있으나 이 경우 복잡도의 증가로 인한 gate수의 급속한 증가로 고속연산전용 VLSI 설계시 어려움이 있다. (3) 그래서 본 논문은 복잡도를 줄일 수 있는 정규기저들의 탐색에 연구의 중점을 두었다.

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AN ALGORITHM FOR PRIMITIVE NORMAL BASIS IN FINITE FIELDS (유한체에서의 원시 정규기저 알고리즘의 구현과 응용에 관한 연구)

  • 임종인;김용태;김윤경;서광석
    • Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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    • 한국정보보호학회 1992년도 정기총회및학술발표회
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    • pp.127-130
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    • 1992
  • GF(2m) 이론은 switching 이론과 컴퓨터 연산, 오류 정정 부호(error correcting codes), 암호학(cryptography) 등에 대한 폭넓은 응용 때문에 주목을 받아 왔다. 특히 유한체에서의 이산 대수(discrete logarithm)는 one-way 함수의 대표적인 예로서 Massey-Omura Scheme을 비롯한 여러 암호에서 사용하고 있다. 이러한 암호 system에서는 암호화 시간을 동일하게 두면 고속 연산은 유한체의 크기를 크게 할 수 있어 비도(crypto-degree)를 향상시킨다. 따라서 고속 연산의 필요성이 요구된다. 1981년 Massey와 Omura가 정규기저(normal basis)를 이용한 고속 연산 방법을 제시한 이래 Wang, Troung 둥 여러 사람이 이 방법의 구현(implementation) 및 곱셈기(Multiplier)의 설계에 힘써왔다. 1988년 Itoh와 Tsujii는 국제 정보 학회에서 유한체의 역원을 구하는 획기적인 방법을 제시했다. 1987년에 H, W. Lenstra와 Schoof는 유한체의 임의의 확대체는 원시정규기저(primitive normal basis)를 갖는다는 것을 증명하였다. 1991년 Stepanov와 Shparlinskiy는 유한체에서의 원시원소(primitive element), 정규기저를 찾는 고속 연산 알고리즘을 개발하였다. 이 논문에서는 원시 정규기저를 찾는 Algorithm을 구현(Implementation)하고 이것이 응용되는 문제들에 관해서 연구했다.

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전산 정수론의 방법들을 이용하는 암호와 프로토콜에 대한 연구

  • Kim, Chul
    • Review of KIISC
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    • 제9권3호
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    • pp.97-104
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    • 1999
  • 전산 정수론의 몇 몇 이론들과 그 계산 방법들은 최근 컴퓨터 및 네트웍의 발달로 그 유용성을 한층 증대 시키고 있다. 본 연구는 이들 전산 정수론의 방법들중에서 정수들의 집합 위에서의 다항식 계산의 복잡도를 이용하여 암호화 프로토콜에 응용하는 연구를 수행 하여 그것을 암호학의 제 분야에서 활발히 활용되는 해쉬 알고리즘을 구성하였다. 또한 이 러한해쉬 알고리즘을 이용하여 암호화 프로토콜의 하나인 인증프로토콜을 연구하였다. 먼저 group SL2(F2n)에 기초한 해쉬 함수에 대해 알아본다. 행력의 각 entry는 characteristic이 인 finite field의 원소로 이루어져 있기 때문에 연산 속도도 매우 빠르며 메시지의 작은 변 조도 쉽게 감지할수 있다는 장점이 있다. 하지만 SL2(F2n)에 generator를 finite field의 원 로표현하고 finite field F2n 상에서 discrete logarithm을 계산하면 충돌하는 메시지쌍이 존 하는 것을 알수는 있으나 이는 계산적으로 계산불가능함을 증명하였다.

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Performance Study of genus 3 Hyperelliptic Curve Cryptosystem

  • Gupta, Daya;De, Asok;Chatterjee, Kakali
    • Journal of Information Processing Systems
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    • 제8권1호
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    • pp.145-158
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    • 2012
  • Hyperelliptic Curve Cryptosystem (HECC) is well suited for all kinds of embedded processor architectures, where resources such as storage, time, or power are constrained due to short operand sizes. We can construct genus 3 HECC on 54-bit finite fields in order to achieve the same security level as 160-bit ECC or 1024-bit RSA due to the algebraic structure of Hyperelliptic Curve. This paper explores various possible attacks to the discrete logarithm in the Jacobian of a Hyperelliptic Curve (HEC) and addition and doubling of the divisor using explicit formula to speed up the scalar multiplication. Our aim is to develop a cryptosystem that can sign and authenticate documents and encrypt / decrypt messages efficiently for constrained devices in wireless networks. The performance of our proposed cryptosystem is comparable with that of ECC and the security analysis shows that it can resist the major attacks in wireless networks.

The Effect of Pharmaceutical Innovation on Longevity (신약도입과 기대여명의 증가)

  • Kwon, Hye-Young
    • YAKHAK HOEJI
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    • 제56권1호
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    • pp.66-69
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    • 2012
  • This study aims to assess the aggregate contribution of new drugs to the increase in life expectancy. We constructed a panel data combining mortality data in KOSIS and a drug dataset generated by assigning new drugs listed in 2000~2009 to their respective ICD codes. We found that 10% increase in stock of new drug led to 0.13~0.27% increase in the probability of survival to age 65. Due to lack of disease-specific life table, we used indirect approach to estimate the effect of new drugs on longevity. Using ordinary least squares, the estimate of the probability of survival to age 65 (logarithm) on life expectancy for all ages was 24.92. In conclusion, the increase in life expectancy of the entire population in Korea between 2000 and 2009 resulting from NMEs is 1.95 years, which explains 46.6% of real increase in life expectancy.

SDS-polyacrylamide Gel Electrophoresis on Partially Purified Ginseng Proteins (인삼단백질분획에 대한 SDS-폴리 아크릴아미드 전기영동)

  • 김춘미
    • YAKHAK HOEJI
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    • 제27권4호
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    • pp.315-320
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    • 1983
  • Ginseng proteins have been extracted and partially purified by the methods of ammonium sulfate fractionation, heat inactivation and Sephadex G-75 column chromatography. The final three fractions obtained (GI, GII and GIII) were subjected to paper chromatography and SDS-polyacrylamide gel electrophoresis. Molecular weights of polypeptide chains from each fraction were est-mated by the standard line obtained from the plot of electrophoretic mobilities against the logarithm of molecular weights of standard proteins. Results are as follows: 1) GI showed three protein spots and four polypeptides of which M.W. were 63,000, 60,000, 56,000, 51,000 and 34,200. 2) GII showed four protein spots and five polypeptides with their M.W. of 64,600, 56,000, 45,400, 35,800, end 25,200, 3) GIII showed three protein spots and four polypeptides with their M.W. of 66,000, 63,000, 56,000 and 22,000.

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