• Title/Summary/Keyword: T3N0

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SYMMETRIC SOLUTIONS FOR A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS WITH ONE-DIMENSIONAL $p$-LAPLACIAN AT RESONANCE

  • Yang, Aijun;Wang, Helin
    • Journal of applied mathematics & informatics
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    • v.30 no.1_2
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    • pp.161-171
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    • 2012
  • We consider the fourth-order differential equation with one-dimensional $p$-Laplacian (${\phi}_p(x^{\prime\prime}(t)))^{\prime\prime}=f(t,x(t),x^{\prime}(t),x^{\prime\prime}(t)$) a.e. $t{\in}[0,1]$, subject to the boundary conditions $x^{\prime\prime}}(0)=0$, $({\phi}_p(x^{\prime\prime}(t)))^{\prime}{\mid}_{t=0}=0$, $x(0)={\sum}_{i=1}^n{\mu}_ix({\xi}_i)$, $x(t)=x(1-t)$, $t{\in}[0,1]$, where ${\phi}_p(s)={\mid}s{\mid}^{p-2}s$, $p$ > 1, 0 < ${\xi}_1$ < ${\xi}_2$ < ${\cdots}$ < ${\xi}_n$ < $\frac{1}{2}$, ${\mu}_i{\in}\mathbb{R}$, $i=1$, 2, ${\cdots}$, $n$, ${\sum}_{i=1}^n{\mu}_i=1$ and $f:[0,1]{\times}\mathbb{R}^3{\rightarrow}\mathbb{R}$ is a $L^1$-Carath$\acute{e}$odory function with $f(t,u,v,w)=f(1-t,u,-v,w)$ for $(t,u,v,w){\in}[0,1]{\times}\mathbb{R}^3$. We obtain the existence of at least one nonconstant symmetric solution by applying an extension of Mawhin's continuation theorem due to Ge. Furthermore, an example is given to illustrate the results.

Study on The System Suitability Test for Alcohols Separation by GCOTC (GCOTC에 의한 알코올류 분리를 위한 시스템 적합성에 관한 연구)

  • Oh, Doe Seok;Kim, Sung Hwa;Lee, Seul;Choi, Jae Gu
    • Journal of Korean Society of Occupational and Environmental Hygiene
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    • v.27 no.2
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    • pp.123-129
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    • 2017
  • Objectives: The purpose of this study is to enhance the application of analytical method of polar solvents(alcohols) by GCOTC (gas chromatography open tubular column) through the system suitability test(SST) to estimate the whole chromatographic system performance(integral part). Methods: To perform the SST, carried out repeatability(n=6) as analytical method of polar solvents by GCOTC, got the retention time($t_R$), standard deviation(${\sigma}_{n-1}$) of $t_R$, baseline width($w_b=4{\sigma}_{n-1}$) and calculated dead time($t_m$) by $v_m=d^2{\pi}L(f/4)$ and $v_m=t_m$ x flow rate. Results: In this experiment, obtained the basic data, there were $t_m=2$ min, methanol($t_R=3.569$, ${\sigma}_{n-1}=0.01$, $w_b=0.04$), ethanol ($t_R=3.892$, ${\sigma}_{n-1}=0.004$, $w_b=0.016$), isopropanol($t_R=4.209$, ${\sigma}_{n-1}=0.004$, $w_b=0.016$). By using these data, calculated the corrected retention time($t_R{^{\prime}}$), capacity factor(k), separation factor(${\alpha}$), number of theoretical plate(n) and resolution($R_s$) for SST and got the good results. Conclusions: Through the SST, could reconfirm the whole chromatographic performance system(integral part) for analytical method of polar solvents by GCOTC. Therefore, this analytical method expect to be widely applied at the related areas.

The Solvent-Independent Structure of 6-(2-pyridyl)-3, 5-hexadiyn-1-ol (6-(2-pyridyl)-3, 5-hexadiyn-1-ol의 용매 비의존 분자구조)

  • 서일환;이진호
    • Korean Journal of Crystallography
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    • v.6 no.1
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    • pp.36-42
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    • 1995
  • Two types of single crystals of the title compound [6-(2-pyridyl)-3, 5-hexadiyn-ol, PyHxD] were obtained by solution of n-hexane/CH2C12 and n-hexane/Et2O, and their molecular conformations are proved identical in spite of different of space groups; C22H18N2O2 (I), Mr=343.70, Monoclinic, Pa, a=14.595(2), b=5.413(2), c=12.218(2)Å, β=96.86(1)°, V=958.3Å3, Z=2, Dx=1.19 Mgm-3, λ(MoKα)=0.71069Å, μ=0.072mm-1, F(000)=360.0, T=292K, R=0.104 for 756 unique observed reflections. An asymmetric unit contains a dimer connected by two N-H…O intermolecular hydrogen bonds. C11H9NO (II), Mr=171.85, Monoclinic, P21/a, a=14.611(2), b=5.423(6), c=12.191(2)Å, β=96.89(1)°, V=959.0Å3, Z=4, Dx=1.19 Mgm-3, λ(MoKα)=0.71069Å, μ=0.072mm-1, F(000)=360.0, T=293K, R=0.066 for 824 unique observed reflection. The structural asymmetric unit contains a molecule, but two N-H…O hydrogen bonds related by controsymmetry make the molecules form a dimer. In both structure, the dihedral angle between the planar pyridyl ring and the plane defined by C(10)-C(11)-O connected by linear diyne chain is approximately normal, and the molecules are stacked along b-axis with the unit repeat of b-axis.

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Effects of Aluminum Sulfate Addition on Six-Week-Old Broiler Performance and Nitrogen Contents in Litter at the Sixth Week (Aluminum Sulfate 처리가 6주령 육계생산 능력 및 깔짚 내의 질소 함량에 미치는 영향)

  • 최인학;남기홍
    • Korean Journal of Poultry Science
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    • v.29 no.4
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    • pp.265-270
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    • 2002
  • This study was conducted to determine the effect of aluminum sulfate[Al$_2$(S0$_4$)$_3$$.$14H$_2$O], commonly referred to as ALUM, addition to broiler litter on 3 and 6 week old broiler performance and the nitrogen content of the litter at 6 weeks of age. The two treatment groups were 134 identical diets with the same protein levels, but one group(T$_1$) had ALUM added as a top dressing to the litter at a rate of 200 g ALUM / kg of rice bran, while T$_2$ did not have ALUM added to the litter. Feed consumption for T$_1$ was higher in the 22 to 42 day-old and 0 to 42 day-old periods (P<0.05). Body weight in T$_1$ was also higher in the 0 to 42 day -old period (P<0.0l). There was no difference, however, in the feed : gain ratio between T$_1$ and T$_2$ During the first 5 weeks, T$_1$ had significantly less(P<0.05 or 0.01) ammonia emission from the litter than T$_2$ but at 6 weeks there was no difference in ammonia concentration between the two groups. At 6 weeks, T$_1$ had a lower litter pH than Ta (P<0.05) and total Kjeldahl nitrogen(TKN) was higher far T$_1$ than T$_2$ (P<0.05). However,71 did not show any difference from T$_2$ in the content of NH4-N and NO3-N. In summary, the addition of ALUM to broiler litter improved broiler performance at 6 weeks, while increasing nitrogen content from the litter used as the nitrogen fertilizer although ammonia emission was increased in T$_1$ at 6 weeks.

Pollutant Concentrations at Experimental Paddy Plots during Irrigation Season (관개기 시험구 논에서의 오염물질의 농도특성)

  • Cho, Jae-Won;Kim, Jin-Soo;Oh, Kwang-Young;Oh, Seung-Young
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.3
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    • pp.97-106
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    • 2006
  • The pollutant concentrations at experimental paddy plots with three (excessive, standard, reduced) different fertilization rates were investigated during 2001-2002 irrigation seasons. Mean concentrations of pollutants in ponded water were not significantly different among three experimental plots, but the T-N concentrations in percolated water significantly depended on fertilization rates. The T-N, T-P and $COD_{Cr}$, concentrations in ponded water during early irrigation season (late May to mid-June) were much higher than those during later irrigation season likely due to fertilization and low uptake by young rice crops. The T-N concentrations decreased but the concentrations of T-P and $COD_{Cr}$, increased three days after tillering fertilization. The removal rates of T-N by paddy plots were $0.13-0.16g/m^2{\cdot}d$ for an excessive fertilization plot, $0.08-0.25g/m^2{\cdot}d$ for a standard fertilization plot, and $0.03-0.34g/m^2{\cdot}d$ for a reduced fertilization plot three days after tillering fertilization. On the other hand, T-P and $COD_{Cr}$, were released three days after tillering fertilization.

EVALUATION E(exp(∫0th(s)dx(s)) ON ANALOGUE OF WIENER MEASURE SPACE

  • Park, Yeon-Hee
    • Honam Mathematical Journal
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    • v.32 no.3
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    • pp.441-451
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    • 2010
  • In this paper we evaluate the analogue of Wiener integral ${\int\limits}_{C[0,t]}x(t_1){\cdots}x(t_n)d\omega_\rho(x)$ where 0 = $t_0$ < $t_1$ $\cdots$ < $t_n$ $\leq$ t and the Paley-Wiener-Zygmund integral ${\int\limits}_{C[0,t]}$ exp $({\int\limits}_0^t h(s)\tilde{d}x(s))d\omega_\rho(x)$ is the analogue of Wiener measure space.

Runoff Characteristics in Paddy Field using Cow Manure Compost Fertilizer (우분 퇴비를 시용한 논에서의 유출수 특성)

  • Choi, Jin-Kyu;Son, Jae-Gwon;Yoon, Kwang-Sik;Lee, Hyun-Jeong;Kim, Young-Joo
    • Journal of The Korean Society of Agricultural Engineers
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    • v.54 no.3
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    • pp.29-36
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    • 2012
  • This study was carried out to investigate the runoff characteristics in paddy field using livestock compost fertilizer. Irrigation, runoff and water quality data in the paddy field were analyzed periodically from May to September in 2011. The observed amounts of rainfall, irrigation, runoff for the experimental paddy field during the irrigation period were 1,148.2 mm, 523.9 mm, and 344.7 mm, respectively. T-N concentrations ranged from 2.28 mg/L to 11.75 mg/L, which was generally higher than the quality standard of agricultural water (1.0 mg/L). T-P concentrations ranged from 0.018 mg/L to 0.241 mg/L and the average was 0.122 mg/L. The runoff loads of T-N and T-P were 15.7 kg/ha and 0.4 kg/ha, respectively. The runoff pollutants loadings in T-N and T-P in this study were much lower values than the loads of T-N and T-P from the paddy field presented by others' studies. We are considering that these results were affected by rainfall as well as hydrological condition, irrigation water, fertilizer application, rice straw and plowing.

The Study on denitrification of low organic loading sewage by pre-denitrification process (유기물부하가 낮은 하수의 전달탈질공법에 의한 탈질방안)

  • Lee, Cheol Seung;Seo, Jong Hwan;Kim, Jin U
    • Journal of Environmental Science International
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    • v.13 no.9
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    • pp.779-878
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    • 2004
  • This study was conducted to analyze the operating conditions of predenitrification process to improve the treatment efficiency in low organic loading sewage plant in use today, and to investigate the treatment efficiency of pilot plant added night soil as well as the nitrogen removal characteristics of pilot plant added carbon sources. In the operation under the condition of $BOD_{5}$ sludge load 0.03-0.28kg $BOD_{5}$/kg VSS/d and oxic ammoniac nitrogen sludge load 0.02-0.24 $kgNH_{4}^{+}$-N/kg MLVSS/d, nitrification efficiency is higher than 95%. In order to achieve 70% nitrogen removal at the T-N sludge loading 0.06kg T-N/kg VSSㆍd and the SRT 6~11 days, optimum operating factors were revealed to $CODc_{r}$/T-N ratio 9, recycle ratio 2.6, and denitrification volume ratio 0.33. At this time, denitrification capacity was approximately 0.09 kg $NO_{3}^{-}$-N/kg $CODc_{r}$; specific nitrification rate was 3.4mg $NH_{4}^{+}$-N/g MLVSS/hr; and specific denitrification rate was 4.8mg $NO_{3}^{-}$-N/g MLVSS/hr.

THYROID HORMONES AND TESTOSTERONE IN SHEEP AGE RELATED PROFILES OF SERUM THYROXINE, TRI-IODOTHYRONINE AND TESTOSTERONE IN KAGHANI, RAMBOUILLET AND KAGHANI × RAMBOUILLET SHEEP

  • Ahmad, M.M.;Mughal, M.R.;Bari, A.;Khan, M.I.;Shahab, M.
    • Asian-Australasian Journal of Animal Sciences
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    • v.5 no.1
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    • pp.101-106
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    • 1992
  • Secretory patterns of serum tri-iodothyronine, thyroxin and testosterone were analysed by specific radioimmunoassay in Kaghani (n = 42), Rambouilet (n = 42) and Kaghani ${\times}$ Rambouillet (n = 42) male sheep to determine age and breed related changes. Animals were examined at 1-2 wk, 8, 10, 12, 20, 22 and 24 months of age (n = 6/age group). All animals were maintained under standard conditions of feeding and management. $T_3$ and $T_4$ concentrations were maximal (p < 0.01) in 1-2 wk old lambs of all breeds studied ($207.4{\pm}14.9-276.8{\pm}20.4ng/dl$ and $5.76{\pm}0.3-7.23{\pm}0.9{\mu}g/dl$, respectively). For all the breeds, concentrations of $T_3$ declined markedly (p < 0.01) at 8 month of age and then varied in a narrow range ($44.5{\pm}14.0-87.0{\pm}4.8ng/dl$) up to the age of 24 month. While, serum $T_4$ concentrations decreased (p < 0.01) to nadir ($0.97{\pm}0.1-1.43{\pm}0.3{\mu}g/dl$) at 10 months of age in all the 3 breeds. Afterwards, $T_4$ levels increased gradually and attained a small peak at 20 months before declining again at 22 and 24 months of age. Serum $T_3$ and $T_4$ concentrations were correlated significantly (p < 0.05) and their ratio was constant at all ages in the different breeds. Age significantly (p < 0.01) influenced the secretion of testosterone in the breeds examined but the breed differences were comparable. Mean serum concentrations of testosterone were low from 1-2 wk to 10 months of age in the Kaghani, Rambouillet and Kaghani ${\times}$ Rambouillet animals. Peak testosterone levels were noted in the 12 months old Kaghani ($1.75{\pm}0.4ng/ml$), Rambouillet ($1.30{\pm}0.2ng/ml$) and their $T_3$ cross animals ($1.16{\pm}0.08ng/ml$). Mean testosterone levels, thereafter, decreased at 20 months and then at 22 and 24 months remained variable but higher than observed at 1-2 wk -10 months of age. The findings of the present study indicate a significant influence of age but not of breed on the peripheral concentrations of thyroid hormones and testosterone. Serum concentrations of $T_3$ and $T_4$ were not related to testosterone levels. High thyroid secretory activity observed at prenatal phase of development may play an important role in preparing the lambs to extrauterine environments.

The Study for the Effect of Breast Massage and Manual Expression of the Breast before Engagement after Delivery (산후 유방 마싸지 및 유즙압출이 충유 및 유즙분비에 미치는 영향)

  • 김원옥
    • Journal of Korean Academy of Nursing
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    • v.5 no.2
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    • pp.74-91
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    • 1975
  • A purpose of this study was to compare the breast massage and manual expression of the breast before engagement after delivery with the time of engagement, the throbbing pain in breast, the first amount of breast milk and involution of the uterus. The subjects selected for this study were 138 women (experimental group;69, control group :69) who were admitted to the Dept. of Obtest. and Gyneco. of Kyung Hee University Hospital from Jan. 5 to June 5, 1975. The results of study were as follows; 1 The average age of the women 26.9 years old in the experimental group and 27.6 years old in the control group. As to religion, the number of those who had no religion was 58.0 percent and 62.4 percent respectively. Classified according to occupation, there were 87.0 percent in house wives of the booths group. Educational background; 87.0 percent of high school graduates or above, 78.3 percent respectively. The occupation of husband 53.7 percent of company employees stood highest and 42.0 percent respectively. In according to the grade of wards, 55.1 percent and 52.2 percent of four-men room stood highest. 2. Physical condition: Body weight before this Pregnancy(T=0.4962, N.S.), the size of breast(X²df2 = 0.1728, N.S.), the shape of nipple(X²df3 =1.3804, N.S.), hemoglobin's level of the first day after delivery(T=1.2572, N.S.), the above were showed non significant between the experimental group and control group The investigator found any difference between the two groups of the health condition during the pregnancy, 3. The rate of no experience of breast massage during pregnancy was 85 percent and 75.4 percent (X²df1=2.2562, N.S.). 4. As to the meal during hospitalization after delivery: The booth of the groups in ordinary food took usually of meyer soup and milk(X²df8=2.5957, N.S.). 5. The relation between the first step of breast massage, second step of the manual expression of breast before engagement after delivery and time of engagement : average time of engagement in the experimental group (2.1 days±0.8) was shortened than the control group (3.3 days±1.2). (T=-6.9045, P< 0.005). It toot less time in the experimental group of primipara(2.2days±0.7) than in the control group (3.1day±1.2) and it also took less time in the experimental group of multipara (2.0 days±0.9) than in the control group (3.5days±1.4). (Primipara T=-3.9266, 0< 0.005. Multipara T= 5.2356, P<0.005). 6. The relationship between the first step of the massage and second step of manual expression and the throbbing pain at the time of engagement: The experimental group showed less effect than control group (X²df4= 27.3342 P<0.005). The separate study of primipara and multipara showed remarkable difference in the group of primipara)X²df4=20.7285, p<0.005) and little difference in the multipara group (X²df4=8.8351, p< 0. 10). 7. The relationship between the first step of the breast massage, second stop of the manual expression and first amount of breast milk: The average amount of breast milk increased more conspicuously in the experimental group (33.8㎖±23.4) than in the control(29.8㎖±25.3) (T=0.8262, N.S.). No remarkable difference was found in the respective groups that investigated in the groups of primipara and of multipara. (Primipara T=1.1467, N.S., Multipara T=-0.0354, N.S.). 8. The relationship between the first step of breast massage and second step of manual expression of breast and involution of uterus : Average time needed for uttering involution was sooner in the experimental group of primipasa(-3.3 F.B.±1.1), than the control group of primipara (-2.5F. B.±1.2), and it was sooner in the experimental group of muitipara (-3.0 F. B.±l..3), than the control group of multipara(-2.3 F.B±0.9). Primipara T=-2.9272, p< 0.005, Multipara T=2.5557, p< 0.01).

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