• Title/Summary/Keyword: 대수함수율

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마이크로월드에서 함수의 그래프에 대한 질적 접근

  • Kim, Hwa-Gyeong;Song, Min-Ho
    • Communications of Mathematical Education
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    • v.18 no.1 s.18
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    • pp.267-276
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    • 2004
  • 이 글은 초등학교 학생들을 대상으로 상호변화적(covariational) 개념으로 변화율에 대한 교수실험을 담고 있다. 기하적 문맥에서 함수의 그래프를 자연스럽게 도입하고, 함수의 변화율에 대한 상호변화적 질적 접근의 예를 제시한다. 또한 언어적 명령을 통하여 스스로 함수의 그래프를 만들어보도록 하고 함수의 그래프를 분석하는 경험을 가지게 하여 이후 함수와 그 역함수와의 개념을 마이크로월드에서 경험하도록 하는 환경과 그 역할에 대하여 논의한다. 이 과정을 통한 마이크로월드, 학생, 연구자의 역할과 상호작용을 알아보고 이 후의 대수식의 도입에 대한 문제를 논의한다.

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A Study on the Determination of Optimal Preventive Maintenance Periods using Simulation (시뮬레이션을 이용한 최적예방정비주기 결정에 관한 연구)

  • 윤익근;하종만;김호연;김동혁
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.590-597
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    • 2002
  • LNG고압펌프계통은 천연가스 고압 송출에 있어 가용도가 매우 중요한 계통이다. 본 연구에서는 현재 적용되고 있는 예방(계획)정비주기를 가용성 측면에서 재검토했다. 확률적인 운전대수와 운전 및 보전 형태에 연관된 여러제약이 고려할 때 계통 불가용도를 정량화하기 위하여 시뮬레이션 기법을 적용했다. 중도 절단된 형태의 펌프 수명 데이터를 분석해 욕조형의 고장율 함수를 도출했으며 보수시간 데이터를 분석해 확률분포모수를 구했다. 또한 주요 펌프부대설비에 대해서는 상수형의 고장율과 보전율을 도출했다. 분석된 확률모수를 작성된 시뮬레이션 모형에 입력하고 과거의 운전대수 시나리오를 설정해 실험한 결과와 실제 보수 및 운전 자료를 비교해 모형의 유효성을 보였다. 그리고 차후 예상되는 운전요구대수 시나리오를 기정하고 각 예방정비주기별로 반복 실험하여 계통의 불가용도를 보이고 적합한 예방정비주기를 도출했으며 펌프부품 교체비용의 기대 절감액을 보였다.

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Development of Mathematical Model for the Hydrolysis Fish Oil (물고기 기름의 가수분해에 대한 수학적 모형개발)

  • Kim Won-Ho;Lee Yong-Hoon;Park Ji-Suk;Hur Byung-Ki
    • KSBB Journal
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    • v.20 no.2 s.91
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    • pp.106-111
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    • 2005
  • The functional relationship between the number of mole of an i-fatty acid (Si) included in fish oil and the hydrolysis time(t) was expressed as a mathematical model, $S_i=-{\alpha_i}1n(t)+\beta_i$. The average errors of calculated values on the basis of the measured values were distributed in the range of less than $5\%$ for all the 15 fatty aids composing of fish oil. The equation of hydrolysis rate of each fatty acid was deduced as $v_i={\gamma_i}exp(\frac{S_i}{\alpha_i})$ from the above-mentioned $S_i=-{\alpha_i}ln(t)+{\beta_i}$. Therefore the hydrolysis yields of fatty acids were analyzed using the equation of $S_i\;Vs.\;t.$. The 15 fatty acids were categorized into 4groups from the view point of hydrolysis yield. The hydrolysis yields of the first group, including C14:0, C16:0, C16:1, C18:0, C18:1 (n-7) and 1l8:1 (n-9), were higher than $70\%$ at 48 hr of hydrolysis. Those of the second group, C20:1, C22:1, C18:3, C20:4 and C20:5, were distributed from $40\%,\;to\;60\%$, and third group were around $30\%$. The final group containing only C22:6 was very hard to be hydrolyzed and the yield was less than $20\%$ at the same time.

Tension infiltrometer를 이용한 토양의 침투특성 분석

  • 하규철;전철민;김재곤
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.04a
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    • pp.362-365
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    • 2004
  • 토양오염의 확산과정중의 서로 다른 지질적 기반위에 놓인 토양에 대한 침투특성과 4단계 이상의 장력을 적용하여 침투율을 산정하였다. 장력과 침투율과는 지수함수로 비선형 회귀시켜서 산정하였으며, 단지 몇단계의 장력만으로 구하여진 값보다 더 많은 불포화대수리특성과 신뢰성있는 포화수리전도도를 제공할 수 있을 것이다. 구하여진 침투율은 토양분석결과를 비교했을 경우 점토함량이 적은 시료에서 적게나오는 경향이 있고, sand가 많은 토양의 경우 높게 산정되었다.

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Optimization of Drying and Storage System for Paddy Using the Grain Cooler (곡물냉각기를 이용한 벼 건조 및 저장시스템의 최적화)

  • 김동철;김의웅
    • Food Science and Preservation
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    • v.11 no.2
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    • pp.269-275
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    • 2004
  • This study was conducted to develop an optimization model using Box's Complex Algorithm, and to determine optimum operating conditions to minimize costs for the drying and storage system using the grain cooler. To minimize the system operation cost, the optimum moisture contents after the first drying were found to be from 17.2 to 19.8 %. And optimum drying and cooling capacities were obtained. The combination of the dryer and grain cooler was found to be economical, showing enhancement of the drying capacity over 50%, and decrease of drying cost over 10%. When the circulating grain dryers of 6 and 20 ton/batch were used in conjunction with the grain cooler, the cost required for drying and storage system for paddy were 28,464∼33,317won/ton and 20,588∼26,511 won/ton, respectively, which was from 2.6 to 27.3% lower than that of conventional drying and storage system.

Surface Tension-Water Saturation Relationship as the Function of Soil Particle Size and Aquifer Depth During Groundwater Air Sparging (대수층 폭기공정에서 토양입경 및 지하수 깊이에 따른 표면장력과 함수율의 상관관계)

  • Kim, Heon-Ki;Kwon, Han-Joon
    • Journal of Soil and Groundwater Environment
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    • v.14 no.6
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    • pp.65-70
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    • 2009
  • Reduction of groundwater surface tension prior to air sparging (SEAS, surfactant-enhanced air sparging) was known to increase air saturation in the aquifer under influence, possibly enhancing the removal rates of volatile contaminants. Although SEAS was known to be efficient for increasing air saturation, little information is available for different hydrogeological settings including soil particle sizes and the depth of aquifer. We investigated water saturations in the sparging influence zone during SEAS using one-dimensional column packed with sands of different particle sizes and different aquifer depths. An anionic surfactant was used to suppress the surface tension of water. Two different sands were used; the air entry pressures of the sands were measured to be $15.0\;cmH_2O$, and $36.3\;cmH_2O$, respectively. No significant difference was observed in the water saturation-surface tension relationship for sands with different particle sizes. As the surface tension decreased, the water saturation decreased to a lowest point and then it increased with further decrease in the surface tension. Both sands reached their lowest water saturations when the surface tension was set approximately at 42 dyne/cm. SEAS was conducted at three different aquifer depths; 41 cm, 81 cm, and 160 cm. Water saturation-surface tension relationship was consistent regardless of the aquifer depth. The size of sparging influence zone during SEAS, measured using two-dimensional model, was found to be similar to the changes in air saturation, measured using one-dimensional model. Considering diverse hydrogeological settings where SEAS to be applied, the results here may provide useful information for designing SEAS process.

A study on the Voiced, Unvoiced and Silence Classification (유, 무성음 및 묵음 식별에 관한 연구)

  • 김명환;김순협
    • The Journal of the Acoustical Society of Korea
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    • v.3 no.2
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    • pp.46-58
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    • 1984
  • 본 논문은 한국어 음성 인식을 위한 유성음, 무성음, 묵음 식별에 관한 연구이다. 주어진 음성 구간을 3가지 음성 신호 부류로 식별하기 위하여 패턴 인식 방법을 사용하였다. 여기에 사용한 분석 파 라메타는 음성 신호의 영교차율, 대수 에너지, 정규화 된 첫 번째 자동 상관 계수, 선형 예측 분석에서 얻은 첫 번째 예측 계수, 그리고 예측 오차의 에너지이다. 한편 측정된 파라메타들이 다차원 가우스 확 률 밀도 함수에 따라 분산되었다는 가정하에서 어어진 최소 거리 법칙에 기본을 두고 음성 구간을 결정 하였다. 측정된 파라메타들을 여러 가지 방법으로 조합하여 식별한 결과 영교차율, 첫 번째 예측계수, 예측 오차의 에너지를 측정 파라메타로 사용했을 때 1%보다 적은 식별 오차율을 얻었다.

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Effect of Extracting Conditions on the Soluble Solid's Yield of Korean Red Ginseng (추출 조건이 홍미삼(紅尾蔘)의 가용성 물질의 용출률에 미치는 영향)

  • Sung, Hyun-Soon;Kim, Woo-Jung
    • Korean Journal of Food Science and Technology
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    • v.18 no.2
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    • pp.168-172
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    • 1986
  • The swelling and hydration properties of Korean red ginseng tails and yield of total solids in extract were studied during extraction with ethanol solution having a concentration of 0-90% at $60-100^{\circ}C$. Extraction was carried out 5 times which was taken 8 hours per each time of extraction. The swelling, hydration and total solids yield were increased as the ethanol concentration decreased and as the extraction temperature raised. The cumulative value of solids yield suggested that three times of extractions with water or 70% ethanol were effective to recover more than 84%. Linear regression analysis on the properties investigated and extraction conditions showed a linear logarithmic relationship .

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A Study on Logconductivity-Head Cross Covariance in Two-Dimensional Nonstationary Porous Formations (비정체형 2차원 다공성 매질의 대수투수계수-수두 교차공분산에 관한 연구)

  • 성관제
    • Water for future
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    • v.29 no.5
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    • pp.215-222
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    • 1996
  • An expression for the cross covariance of the logconductivity and the head in nonstationary porous formation is obtained. This cross covariance plays a key role in the inverse problem, i.e., in inferring the statistical characteristics of the conductivity field from head data. The nonstationary logconductivity is modeled as superposition of definite linear trend and stationary fluctuation and the hydraulic head in saturated aquifers is found through stochastic analysis of a steady, two-dimensional flow. The cross covariance with a Gaussian correlation function is investigated for two particular cases where the trend is either parallel or normal to the head gradient. The results show that cross covariances are stationary except along separation distances parallel to the mean flow direction for the case where the trend is parallel to head gradient. Also, unlike the stationary model, the cross covariance along distances normal to flow direction is non-zero. From these observations we conclude that when a trend in the conductivity field is suspected, this information must be incorporated in the analysis of groundwater flow and solute transjport.

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