• KSBB Journal
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• v.4 no.2
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• pp.191-196
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• 1989

Functional relationship between the Fermentation characteristics of Functional relationship between the Fermentation characteristics of S. cerevisiae SIV-89 and the fermentation time was investigated. According to the increase in the initial sugar cone. from 50g/L to 80 g/L, maximum specific growth rate and maximum specific alcohol production rate were increased until 0.35 and 1.98. But the two values were decreased with increase of initial sugar cone. in the region of more that 80 g/L. Maximum alcohol yield and biomass yield were 0.45 and 0.15 respectively. However those vlaue were found to be reduced with the argument of initial sugar concentration. Sugar conversion was decreased with sugar concentration. When the sugar concentration was more than 190 g/L, the conversion was dropped below 70%. The increase of alcohol concentration in the fermentation broth induced the phenomenon of decline of metabolism. In case of more than 80 g/L of alcohol conc., biomass growth and alcohol production were completely stopped regardless of remaining sugar concentration.

• KSBB Journal
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• v.13 no.6
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• pp.730-734
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• 1998

The mathematical model of specific growth rate of Saccharomyces cerevisiae ATCC 24858 is proposed as a function of sugar and ethanol concentrations by the combination of Andrew's equation and Aiba's equation. The maximum concentration of sugar Sm, which was the highest concentration of sugar not having any effect on the growth inhibition, was 150 g/L and the substrate inhibition was expressed as a function of (S-Sm). The maximum specific growth inhibition, was 150 g/L and the substrate inhibition was expressed as a function of (S-Sm). The maximum specific growth rate ${\mu}m$, Monod's constant Ks, and Andrew's inhibition constant KI were 0.49 hr-1, 19 g/L, and 139 g/L, respectively. The maximum ethanol concentration, Pm, which did not show any inhibition effect on the specific growth rate was found to be 2 g/L. Therefore, the ethanol inhibition was represented as a function of (P-Pm). The final mathematical model for the specific growth rate of the microorganism in this work is proposed as the following. And the average percent of errors between the calculated specific growth rate and the experimental values was 5.96%.

• Transactions of the Korean Society of Mechanical Engineers
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• v.18 no.4
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• pp.1039-1049
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• 1994

The intermitternt and transient fuel spray have been investigated from the simultaneous measurement of droplet sizes and velocities by using Phase/Doppler Particle Analyzer(PDPA). Measurement have been done on the spray axis and at the edge of the spray near nozzle at various gas-to-liquid density ratios(.rho./sub g//.rho./sub l/) that ranges from those found in free atmospheric jets to conditions typical of diesel engines. Probability density distributions of the droplet size and velocity were obtained from raw data and mathematical probability density functions which can fit the experimental distribations were extracted using the principle of maximum likelihood. In the near nozzle region on the spray axis, droplet sizes ranged from the lower limit of the measurement system to the order of nozzle diameter for all (.rho./sub g/ /.rho./sub l/) and droplet sizes tended to be small on the spray edge. At the edge of spray, average droplet velocity peaked during needle opening and needle closing. The rms intensity is greatly incresed as the radial distance from the nozzle is increased. The probability density function which can best fit the physical breakage process such as breakup of fuel drops is exponecially decreasing log-hypebolic function with 4 parameters.

• Journal for History of Mathematics
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• v.28 no.2
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• pp.85-102
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• 2015

Elliptic curves are a common theme among various fields of mathematics, such as number theory, algebraic geometry, complex analysis, cryptography, and mathematical physics. In the history of elliptic curves, we can find number theoretic problems on the one hand, and complex function theoretic ones on the other. The elliptic curve theory is a synthesis of those two indeed. As an overview of the history of elliptic curves, we survey the Diophantine equations of 3rd degree and the congruent number problem as some of number theoretic trails of elliptic curves. We discuss elliptic integrals and elliptic functions, from which we get a glimpse of idea where the name 'elliptic curve' came from. We explain how the solution of Diophantine equations of 3rd degree and elliptic functions are related. Finally we outline the BSD conjecture, one of the 7 millennium problems proposed by the Clay Math Institute, as an important problem concerning elliptic curves.

• Proceedings of the Korean Society of Applied Pharmacology
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• 1992.05a
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• pp.64-64
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• 1992

1. Eudragit RS, RL, E, S 및 L을 이용하여 유중건조법으로 제조한 $\beta$-락탐계 항생제 (Amoxicillin, Cephalexin) 마이크로캅셀 모두가 구상 성형성과 정립성이 양호한 결과를 얻었다. 2. 분리 분산제 (aluminium tristearate)의 양을 고정시켰을 때에는 일정한 입자 분포도를 가지는 마이크로캅셀을 얻을 수 있었고, 양을 증가시켰을 때에는 입자 크기는 작아 졌으며, 용출율은 증가하였다. 3. Eudragit RS 및 S 마이크로캅셀제제로부터의 약물용출은 저조하였고, Eudragit RL 및 L 제제로부터의 약물용출은 양호하였다. 따라서 Eudragit RS/RL 마이크로캅셀제제에서는 Eudragit RL의 양을 증가시킬수록 약물의 용출율이 증가하였으며, Eudragit S/L 마이크로캅셀제제에서는 Eudragit L의 양을 증가시킬수록 약물의 용출율이 증가하였다. 약물방출 실험결과, Amoxicillin 함유Eudragit RS/RL (25/75) 마이크로캅셀, cephalxin함유 Eudragit RS/RL (75/25) 마이크로캅셀 및 Eudragit S/L (75/25) 마이크로캅셀제제는 유용한 제제로 펑가되었다. 또한 수용성 고분자인 polyethylene glycol을 혼합하어 제조하는 것에 의해 방출조절성 마이크로캅셀의 제조가 가능하였다. 유중건조법을 이용하여 본 연구방법으로 저조한 마이크로캅셀제제는 투어횟수를 줄일 수 있을 뿐만 아니라 생체에 대해 안전하고 재현성에 확보되는 유용한 제제로 판단된다. 앞으로 연구를 계속 수행하여, 특히 약물의 물리화학적 성질 및 생제내 투어 후의 생물약제학적 펑가를 엄격히 하므로써 안정성이 심히 문제시되는 다용 약물계열에 대한 조절방출성제제의 개발을 기대할 수 있다.은 해리항수의 역수이므로 해리항수가 적을수록 $\beta$ 수용체에 대한 친화력이 큰 약물이다. 시사되었으며, 이 조직에서 또한 5-$HT_2$와 5-$HT_3$ 수용체의 존재를 확인하고 각각의 기능을 분명히 했다.가 수월하게 하였고 메모리를 동적으로 관리할 수 있게 하였다. 또한 기존의 smpl에 디버깅용 함수 및 설비(facility) 제어용 함수를 추가하여 시뮬레이션 프로그램 작성을 용이하게 하였다. 예를 들면 who_server(), who_queue(), pop_Q(), push_Q(), pop_server(), push_server(), we(), wf(), printfct() 같은 함수들이다. 또한 동시에 발생되는 사건들의 순서를 조종하기 위해, 동시에 발생할 수 있는 각각의 사건에 우선순위를 두어 이 우선 순위에 의하여 사건 리스트(event list)에서 자동적으로 사건들의 순서가 결정되도록 확장하였으며, 설비 제어방식에 있어서도 FIFO, LIFO, 우선 순위 방식등을 선택할 수 있도록 확장하였다. SIMPLE는 자료구조 및 프로그램이 공개되어 있으므로 프로그래머가 원하는 기능을 쉽게 추가할 수 있는 장점도 있다. 아울러 SMPLE에서 새로이 추가된 자료구조와 함수 및 설비제어 방식등을 활용하여 실제 중형급 시스템에 대한 시뮬레이션 구현과 시스템 분석의 예를 보인다._3$", chain segment, with the activation energy of carriers from the shallow trap with 0.4[eV], in he amorphous regions.의 증발산율은 우기의 기상자료를 이용하여 구한 결과 0.05 - 0.10 mm/hr 의 범위로서 이로 인한 강우손실량은 큰 의미가 없음

• The Korean Journal of Applied Statistics
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• v.14 no.2
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• pp.463-473
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• 2001

선형모형의 회귀계수의 L$_1$-추정량의 점근분포는 오차항의 중앙값에 종속되어있는데, 이 값은 잔차의 순서통계량의 함수로 추정될 수 있다. 본 논문에서는 오차항 중앙값의 추정량을 유도하는 몇 가지 방법을 소개하고 몬테칼로 실험을 통하여 가장 바람직한 추정량의 형태를 제안하였다. 또한 제안한 추정량을 이용하면 검정문제에서도 좋은 결과를 얻을 수 있음을 보였다.

• Journal of the Korean Institute of Telematics and Electronics
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• v.22 no.4
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• pp.24-32
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• 1985

This paper presents the design method for multivalued logic functions using $I^2L$ circuits. First, the a비orithm that transforms delta functions into discrete functions of a truncated difference is obtained. The realization of multivalued logic circuits by this algorithm is discussed. And then, the design method is achieved by mixing discrete functions and delta functions using the modified algorithm for given multivalued truth tables. The techniques discussed here are easily extended to multi-input and multi-output logic circuits.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.26 no.9A
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• pp.1459-1464
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• 2001

본 논문에서는 나카가미 페이딩에서 STTD(Space Time Transmitter Diversity)기법을 적용한 셀룰러 무선 시스템의 오수신확률을 유도한다. 라플라스 변환을 이용하여 L개의 독립적이고 동일분포의 다중간섭신호에 대한 새로운 확률밀도함수를 유도하고, 동일채널 나카가미 간섭신호속에서 나카가미 페이딩을 겪는 신호에 대한 오수신확률을 나타내며, 주파수 재사용거리의 함수로 오수신확률을 표현한다.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1996.10a
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• pp.130-134
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• 1996

본 논문에서는 광대역 소음원의 위치를 탐지하여 2차원 영상면에 소음원을 영상화할 수 있는 3차원 마이크로폰 배열을 제안하였다. 배열요소간의 상호상관함수가 2차원 영상면의 화소의 밝기에 대응되도록 영상함수를 유도하였으며 영상면은 사각면 및 원통면등으로 선택 가능 하도록 하여 소음원의 위치동정 해석이 용이하도록 하였다. 몇가지 소음원에 대한 수치 모의 실험결과는 제안된 배열이 소음제어 분야 등에 응용 될 수 있음을 보인다.

• Journal of Korea Water Resources Association
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• v.53 no.1
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• pp.1-13
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• 2020

The most common approach for computing engineering flow problems at high Reynolds number is still the Reynolds-averaged Navier-Stokes (RANS) computations based on turbulence models with wall functions. The recently developed generalized wall functions blending between the wall-limiting viscous and the outer logarithmic relations ensure a smooth transition of flow quantities across two regions. The performances and convergence properties of widely used turbulence models with wall functions that are applicable for turbulence kinetic energy (TKE), turbulent and specific dissipation rates, and eddy viscosity are presented through a series of near wall flow simulations. The present results show that RNG k-𝜖 model should be carefully applied with small tolerance to get the stable solution when the first grid lies in the buffer layer. The standard k-𝜖 and RNG k-𝜖 models are not sensitive to the selection of wall functions for both TKE and eddy viscosity, while the k-ω SST model should be applied together with kL-wall function for TKE and nutUB-wall functions for eddy viscosity to ensure accurate and stable boundary conditions. The applications to a backward-facing step flow at Re=155,000 reveal that the reattachment length is reasonably well predicted on appropriately refined mesh by all turbulence models, except the standard k-𝜖 model which about 13% underestimates the reattachment length regardless of the grid refinement.