• Journal of applied mathematics & informatics
• /
• 제29권1_2호
• /
• pp.351-367
• /
• 2011

In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.

• Asian-Australasian Journal of Animal Sciences
• /
• 제25권3호
• /
• pp.335-340
• /
• 2012

The data used came from two trials undertaken under the same climatic conditions (spring-summer). In both trials pluriparious buffaloes were utilized similar in weight, body condition score, and milk production from the previous year. From the first trial the data used was from the sub-period 23-88 DIM provided by seven animals fed ad libitum with diet A (6.69 MJ/kg DM; 158.30 g/kg of crude protein) with a forage/concentrate ratio of 48/52. From the second trial the data used was from the sub-period 33-90 DIM provided by seven animals fed ad libitum with diet B (6.63 MJ/kg DM; 179.50 g/kg of crude protein) and by seven animals fed ad libitum with diet C (5.99 MJ/kg DM; 155.40 g/kg of crude protein), each of the diets had the same forage/concentrate ratio (53/47). A significant difference was found in milk production between group B and C (13.08 vs. 11.56 kg/d, p<0.05), an intermediate production (12.10 kg/d) was noted in group A. A significant difference was found between fat (76.58 vs. 69.24 g/kg, p<0.05), protein (46.14 vs. 43.16 g/kg, p<0.05) and casein (39.94 vs. 34.98 g/kg, p<0.05) of the milk of group B with respect to group A. The milk of group C gave fat values (71.80 g/kg), protein (45.52 g/kg) and casein (39.06 g/kg) statistically equal to those of group B. The milk of groups B and C, in respect to the milk of group A, gave values of $K_{20}$ (1.77, 1.82 vs. 3.68 min, p<0.05), statistically lower and values of $A_{30}$ (48.28, 47.27 vs. 40.64 mm, p<0.05) statistically higher. Two simple linear regressions were calculated where the independent variable (x) was the daily standardized milk production, the dependent variable (y) or the daily intake of net energy or crude protein. Equation 1) NE (MJ/d) = 74.4049+2.8308${\times}$kg of normalized milk; equation 2) CP (kg/d) = 1.4507+0.1085${\times}$kg of normalized milk, both the equations were significant (p<0.05) with determination coefficients of 0.58 and 0.50 respectively. For a production of normalized milk that varies from 9 to 13 kg, the respective energy-protein concentrations fluctuate from 6.09 to 6.78 MJ/kg DM and from 148.00 to 174.46 g/kg DM.

• Asian-Australasian Journal of Animal Sciences
• /
• 제30권7호
• /
• pp.967-972
• /
• 2017

Objective: Two experiments were conducted to determine the effects of forage-to-concentrate (F:C) ratio on the nutrient digestibility and enteric methane ($CH_4$) emission in growing goats and Sika deer. Methods: Three male growing goats (body weight $[BW]=19.0{\pm}0.7kg$) and three male growing deer ($BW=19.3{\pm}1.2kg$) were respectively allotted to a $3{\times}3$ Latin square design with an adaptation period of 7 d and a data collection period of 3 d. Respiration-metabolism chambers were used for measuring the enteric $CH_4$ emission. Treatments of low (25:75), moderate (50:50), and high (73:27) F:C ratios were given to both goats and Sika deer. Results: Dry matter (DM) and organic matter (OM) digestibility decreased linearly with increasing F:C ratio in both goats and Sika deer. In both goats and Sika deer, the $CH_4$ emissions expressed as g/d, g/kg $BW^{0.75}$, % of gross energy intake, g/kg DM intake (DMI), and g/kg OM intake (OMI) decreased linearly as the F:C ratio increased, however, the $CH_4$ emissions expressed as g/kg digested DMI and OMI were not affected by the F:C ratio. Eight equations were derived for predicting the enteric $CH_4$ emission from goats and Sika deer. For goat, equation 1 was found to be of the highest accuracy: $CH_4(g/d)=3.36+4.71{\times}DMI(kg/d)-0.0036{\times}neutral$ detergent fiber concentrate (NDFC,g/kg)+$0.01563{\times}dry$ matter digestibility (DMD,g/kg)-$0.0108{\times}neutral$ detergent fiber digestibility (NDFD, g/kg). For Sika deer, equation 5 was found to be of the highest accuracy: $CH_4(g/d)=66.3+27.7{\times}DMI(kg/d)-5.91{\times}NDFC(g/kg)-7.11{\times}DMD(g/kg)+0.0809{\times}NDFD(g/kg)$. Conclusion: Digested nutrient intake could be considered when determining the $CH_4$ generation factor in goats and Sika deer. Finally, the enteric $CH_4$ prediction model for goats and Sika deer were estimated.

• 대한수학회논문집
• /
• 제31권1호
• /
• pp.101-113
• /
• 2016

In this article, we considered the stability of the following (${\alpha}$, ${\beta}$, ${\gamma}$)-derivation $${\alpha}D[x,y]={\beta}[D(x),y]+{\gamma}[x,D(y)]$$ and homomorphisms associated to the quadratic type functional equation $$f(kx+y)+f(kx+{\sigma}(y))=2kg(x)+2g(y),\;x,y{\in}A$$, where ${\sigma}$ is an involution of the Lie $C^*$-algebra A and k is a fixed positive integer. The Hyers-Ulam stability on unbounded domains is also studied. Applications of the results for the asymptotic behavior of the generalized quadratic functional equation are provided.

• 한국농공학회:학술대회논문집
• /
• 한국농공학회 2001년도 학술발표회 발표논문집
• /
• pp.509-512
• /
• 2001

In this study, pollutant load from paddy field was estimated by regression equation from 5 to 8 in 2001. During study period, total rainfall was 511.3mm and runoff discharge was 968.71mm. Regression equation between flow rate(m3/s) and pollutant loading rate(g/s) is exponential relationship. For site 1, coefficient of determination (R2) for $COD_{cr}$, T-P, T-N were 0.7068, 0.8441, 0.6806 respectively and site 2, 0.9369, 0.8855, 0.4262 respectively. Considering unit loads, Jun was the highest valus as 13.85 $COD_{c}kg/km2/day$, 0.24 T-Pkg/km2/day, 1.22 T-Nkg/km2/day. Until study period, total $COD_{cr}$ load estimated regression equation is 19.32kg/km2/day and, T-P, T-N were 0.264, 1.88 respectively

• Asian-Australasian Journal of Animal Sciences
• /
• 제12권1호
• /
• pp.42-48
• /
• 1999

Three experiments were conducted to develop and test equations for predicting carcass composition. In the first study using 52 d-old Cobb ${\times}$ Cobb male broilers, twenty four carcasses were selected from 325 processed birds based upon visual appraisal for abdominal fat (low, medium, high) and assayed for specific gravity (SG), dry matter (DM), fat, protein, and ash. In experiment 2, 120 birds were fed rations containing 2 caloric densities (2,880 and $3,200kcal\;ME_n/kg$ diet) and assayed as described above on weeks 2,3,4,5, and 6. Carcass fat was elevated (p < 0.05) with increased caloric density. In both studies predictive variables were significantly correlated with chemically determined carcass fat, protein, and ash contents. Pooled across the 2 studies, data were used to form SG, DM, and or age based equations for predicting carcass composition. Results were tested in experiment 3, where 576 birds reared to 49-d consumed either 2,880, 3,200, or $3,574kcal\;ME_n/kg$ diet while exposed to constant $24^{\circ}C$ or cycling 24 to $35^{\circ}C$ ambient temperatures. Both dietary and environmental effects impacted (p < 0.05) carcass composition. The fat content analyzed chemically was enhanced from 12.4 to 15.7%, and predicted fat was also elevated from 13.4 to 14.8% with increasing caloric density. Heat distress reduced (p < 0.05) analyzed carcass protein (18.9 vs 18.3%) and predicted protein (18.2 vs 17.5%). Predicted equation values for carcass fat, protein, ash, and energy were correlated with the chemically analyzed values at r=0.96, 0.77, 0.86, and 0.79, respectively. Results suggest that prediction equations based on DM and SG may be used to estimate carcass fat, protein, ash, and energy contents of broilers consuming diets that differ in caloric density (2,800 to $3,574kcal\;ME_n/kg$) and for broilers exposed to either constant ($24^{\circ}C$) or cycling high (24 to $35^{\circ}C$) ambient temperatures during 49-d rearing period tested in the present study.

• 한국토양비료학회지
• /
• 제32권3호
• /
• pp.261-267
• /
• 1999

본 연구는 인이 축적된 토양을 대상으로 작물 연속 재배에 따른 토양 유효 인 함량의 경시적 변화를 고찰함은 물론 이를 근거로 하여 인이 축적된 토양이 작물생장 적정 수준 이상의 인을 공급할 수 있는 기간을 예측하여 토양에 축적된 인의 효율적 이용에 기여하고자 수행되었다. 공시 토양은 인이 과잉 집적됨으로써 10% 미만의 시비인 회수율을 보였으며, 인 무처리구의 작물 생산량은 추천시비량을 시비한 경우의 88% 이상으로 나타나 시비 수준에 따른 작물체 생장 차이는 없었던 것으로 판단할 수 있었다. 인산질 비료를 무시비한 상태에서 연속 4회 작물 재배한 후에도 토양 유효인은 여전히 높은 수준 (Bray 1-P : $410{\sim}610mg\;P\;kg^{-1}$, Olsen-P : $284{\sim}401mg\;P\;kg^{-1}$, Lancaster-P : $368{\sim}524mg\;P\;kg^{-1}$, 가용성인: $37{\sim}55mg\;P\;kg^{-1}$)을 유지하였다. 토양 유효인의 감소량과 작물에 의해 흡수된 인 사이에는 유의성있는 상관관계 (Bray 1-P : $R^2=0.536^{**}{\sim}0.761^{**}$, Olsen-P : $R^2=0.642^{**}{\sim}0.774^{**}$, Lancaster-P : $R^2=0.513^{**}{\sim}0.797^{**}$)가 있었다. Soil 1 유효인 감소량(y)과 작물흡수한 인(x) 사이에 상관식은 다음과 같았다. Bray 1-P : y = 149.7x + 102.7 Lancaster-P : y = 209.2x-140.2 Olsen-P : y = 260.8x + 19.9 인 무처리구 토양의 유효인 함량(C)이 작물 재배회수(N)에 따라 감소하는 경향은 1차 반응 속도 방정식으로 나타낼 수 있었으며, 이 식을 통해서 유효인이 초기함량의 절반이나 인 유효도 한계 치까지 감소하는 데 소요되는 작물 재배 회수를 예측할 수 있었다. Soil 1의 유효인 감소 속도 방정식은 다음과 같았다. Bray 1-P : In(C) = -0.12N + 6.96 r=-0.991, Lancaster - P : In(C) = -0.14N + 6.88 r=-0.938. Olsen-P : In(C) = -0.07N + 6.37 r=-0.959.

• 한국환경농학회지
• /
• 제23권1호
• /
• pp.47-51
• /
• 2004

In order to know the residual pattern of pesticides and predict to the degradation period until below MRL we experimented procymidone and chlorothalonil for grape which were the most detected pesticide in grape by NAQS(National Agricultural product Quality management Service) survey. In this experiment we sprayed those pesticides 10 days before harvest and analyzed 0, 1, 2, 3, 5, 7, 10 day sample to establish logical equation and to calculate $DT_{50}$. Also the same day samples stored at $4^{\circ}C$ and $20^{\circ}C$, which were compared their degradation patterns. During the cultivating period, the residue amount of procymidone was changed from 1.85 mg/kg (0 day) to 0.33 mg/kg (10 day), $DT_{50}$ was 3.5 days, and chlorothalonil was changed from 5.5 mg/kg (0 day) to 3.49 mg/kg (10 day), $DT_{50}$ was 4.4 days. During the storage period, $DT_{50}$ of procymidone and chlorothalonil at $4^{\circ}C$ were 10.5 and 7.6 days, and 6.3 and 6.1 days at $20^{\circ}C$, respectively.

• 콘크리트학회지
• /
• 제11권2호
• /
• pp.157-165
• /
• 1999

콘크리트 휨부재의 극한강도를 예측할 떼에는 부재의 크기효과는 고려하지 않는 것이 일반적이다. 그러나 콘크리트는 여러 형태의 하중에 대하여 부재의 크기가 증가함에 따라 강도가 감소하는 크기효과를 항상 나타낸다. 따라서 본 논문에서는 휨압축 부재에 대한 실험을 수행하여 크기효과를 검토하고자 한다. 이를 위하여 축 압축력과 휨모멘트를 동시에 받는 일련의 C형 공시체에 대한 실험을 수행하였다. 공시체의 크기는 3가지 였으며 콘크리트의 압축강도는 528 kg/$cm^2$로 하였다. 실험결과로부터 부재의 크기가 증가함에 따라 파괴시의 휨압축 강도가 감소하는 크기효과가 존재하며, 실린더 공시체의 축압축 강도보다 강도감소 현상이 더욱 분명함을 알 수 있었다. 최종적으로 실험자료에 대한 회귀분석을 수행하여 이를 예측할 수 있는 모델식을 제안하였다.

• 태양에너지
• /
• 제13권2_3호
• /
• pp.65-78
• /
• 1993

자연적인 기후조건하에서 농산물을 생산하는 재래식 농업으로부터 계절을 초월하는 시설 농업이 파생 발전함에 따라 태양에너지이외의 화석에너지 사용이 급증하고 있으며, 이로 인한 농산물 가격상승과 품질저 하는 물론이고, 농촌환경을 오염시키고 있다. 이와 같은 문제를 근원적으로 해결하기 위해서는 태양에너지 농업이용을 극대화 하여야 하며, 이를 실현하기 위해서는 동적이며, 순간적 공급의 특성을 갖는 태양에너지를 정적이며, 조절이용이 가능한 에너지로 전환하여야 한다. 이런 필요성에 부응하여 본 연구에서는 태양에너지를 저장할 수 있는 상변화 잠열재를 선택하였으며, 축열특성을 분석하므로서 다음과 같은 결과를 얻을 수 있었다. 유기 잠열재, $C_{28}H_{58}$은 안정된 물성을 가지고 있기 때문에 400 사이클의 상변화 후에도 열특성 변화가 없었으나, 무기 잠열재($CH_3COONa{\cdot}3H_2O,\;Na_2SO_4{\cdot}10H_2O$)는 불안정한 물성을 가지고 있기 때문에 조핵제와 농화제를 사용하여 $400{\sim}600$ 사이클의 상변화 후에 나타나는 열특성 변화를 최소화 하였다. 잠열량이 최대가 되는 결정핵의 임계반경을 수식으로 정리하므로서 잠열량 감소현상을 억제할 수 있는 방법을 찾는데 도움을 줄 수 있었다. 유기 잠열재, $C_{28}H_{58}$의 상변화 온도는 $62^{\circ}C$였으며, 잠열량은 $50{\sim}52$ kcal/kg이었고, 고상비열, $C_{ps}$는 $0.572{\sim}0.750kcal/kg^{\circ}C$였으며, 액상비열, $C_{pL}$은 $0.540{\sim}0.690kcal/kg^{\circ}C$였다. 무기 잠열재, $CH_3COONa{\cdot}3H_2O$의 상변화 온도는 $61{\sim}62^{\circ}C$였으며, 잠열량은 $64.9{\sim}65.8$ kcal/kg이었고, 고상 비열, $C_{ps}$는 $0.510{\sim}0.520kcal/kg^{\circ}C$였으며, 액상비열, $C_{pL}$은 $0.83kcal/kg^{\circ}C$였다. 무기 잠열재, $Na_2SO_4{\cdot}10H_2O$는 물성안정제를 가한 상태의 시약수준에서는 상변화 온도가 $29.72^{\circ}C$였고, 잠열량은 53.0 kcal/kg이었으며, 고상비열, Cps는 $0.742kcal/kg^{\circ}C$이었고, 액상비열, $C_{pL}$은 $1.002kcal/kg^{\circ}C$였다. 공업용 수준에서는 상변화 온도가 시약수준의 경우보다 약간 높은 $30{\sim}30.9^{\circ}C$였으며, 비열은 고상에서 $0.50{\sim}0.7kcal/kg^{\circ}C$였고, 액상에서 $0.78{\sim}0.89kcal/kg^{\circ}C$였다. SSD($Na_2SO_4{\cdot}10H_2O$)에 urea를 첨가함으로서 상변화 온도와 잠열량이 변하였으며, urea 함량을 $0{\sim}7.5wt%$로 변화시킴에 따라 상변화 온도는 $29.72^{\circ}C$에서 $25.18^{\circ}C$로 낮아졌으며, 잠열량은 53.0 kcal/kg에서 38.5 kcal/kg으로 감소하였다. Greenhouse 보온용으로 urea를 21.85% 첨가하고, 상변화를 $0{\sim}600$ 사이클까지 반복한 경우 상변화 온도는 $16.7^{\circ}C$에서 $16.0^{\circ}C$로 낮아졌고, S.V를 첨가하지 않은 경우 잠열량은 46.22 kcal/kg에서 36.30 kcal/kg으로 감소하였으나, 비열은 큰 변화가 없었다. 상변화 사이클의 증가에 의한 열특성의 감쇠현상을 줄이기 위하여 S.V를 $0{\sim}1.5wt%$ 첨가한 결과 S.V 0.5wt% 이하에서는 약간의 효과가 있었으나, 그 이상에서는 효과적인 증후가 없었다.