• 제목/요약/키워드: M-solution

검색결과 8,655건 처리시간 0.035초

ON THE M-SOLUTION OF THE FIRST KIND EQUATIONS

  • Rim, Dong-Il;Yun, Jae-Heon;Lee, Seok-Jong
    • 대한수학회논문집
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    • 제10권1호
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    • pp.235-249
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    • 1995
  • Let K be a bounded linear operator from Hilbert space $H_1$ into Hilbert space $H_2$. When numerically solving the first kind equation Kf = g, one usually picks n orthonormal functions $\phi_1, \phi_2,...,\phi_n$ in $H_1$ which depend on the numerical method and on the problem, see Varah [12] for more details. Then one findes the unique minimum norm element $f_M \in M$ that satisfies $\Vert K f_M - g \Vert = inf {\Vert K f - g \Vert : f \in M}$, where M is the linear span of $\phi_1, \phi_2,...,\phi_n$. Such a solution $f_M \in M$ is called the M-solution of K f = g. Some methods for finding the M-solution of K f = g were proposed by Banks [2] and Marti [9,10]. See [5,6,8] for convergence results comparing the M-solution of K f = g with $f_0$, the least squares solution of minimum norm (LSSMN) of K f = g.

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Effect of light, ultrasonication and liquid smoke on germination of proso millet (Panicum miliaceum L.) seeds

  • Kim, Min Geun;Kim, Young Ae;Jung, Ki-Yeul;Kim, Du Hyun
    • 한국작물학회:학술대회논문집
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    • 한국작물학회 2017년도 9th Asian Crop Science Association conference
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    • pp.213-213
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    • 2017
  • High quality seed of proso millet that has high germination percentage, germination speed, and uniformity demanded to increases rates of mechanization in cereal crop cultivation. In order to improve germination characteristics, proso millet seeds were treated with red light, ultrasonication and liquid smoke (LS) solution that generated from hickory wood. All treatments were performed in seed priming solution with 100mM $NH_4NO_3$ at $15^{\circ}C$ for 24hrs under aeration condition. Seeds were exposed under light intensity of 2000 lux for 15m, 30m, 60m, and 120m in priming solution. Ultrasonic treatment was performed at 60%, 80%, and 100% intensity of 21.6 KHz for 5m, 10m, and 20m in priming solution. For LS treatment seed were soaked in 0%, 0.5%, 1.0%, 5.0% and 10.0% of diluted solution with $dH_2O$ or 100mM $NH_4NO_3$ solution. The effect of seed treatment was evaluated with germination percentage (GP), mean germination time (MGT), germination index (GI), germination rate (GR), Germination uniformity (GU) and heath seed percentage (HS). Our results demonstrate that red light (15min) or ultrasonication (21.6kHz, 5min) treatment improved MGT, GI, GR, and GU comparing to untreated control. Importantly, we show that LS treatments have significant effect on the health seedling and germination characteristics. Proso millet seeds that treated with 5% LS solution for 24hrs improves HS up to 97% that similar results obtained in 100mM $NH_4NO_3$ priming for 24hrs. The combined treatment with LS solution and 100mM $NH_4NO_3$ priming were not effective in all treatments. Our results demonstrate that treating seeds with LS or 100mM $NH_4NO_3$ priming or ultrasonication improves germination characteristics. The methods described here will help advance research using this species by increasing the germination performance at which successive seed pellet process.

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Change in Photosynthesis, Proline Content, and Osmotic Potential of Corn Seedling under High-Saline Condition

  • Yoon Byeong Sung;Jin Chengwn;Park Sang Un;Cho Dong Ha
    • 한국작물학회지
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    • 제50권1호
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    • pp.28-31
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    • 2005
  • To identify salt-tolerance characteristics of corn seedling was treated in solution of 0, 50 and 100 mM NaCl of hydroponic cultivation. In photosynthesis of corn seedling, there was no large difference between 50mM and 0 mM NaCl solution, however, in 100 mM NaCl solution, the tolerance gradually decreased to $76\%,\;49\%,\;and\;31\%$ after one day, four days, and seven days, respectively, in comparison to 0 mM NaCl solution. Osmotic potential of corn in seedling period was significantly decreased with increasing saline level, however, free proline content in the plant on the ground was significantly increased with increasing saline level and with the lapse of time. In terms of correlation among major characteristics, there was a highly significant positive difference between osmotic pressure potential and photosynthesis, However, highly negative correlation was found between osmotic pressure potential and free proline content. In addition, it was expected that young seedling of corn with saline tolerance may be utilized in the transplantation in salt-accumulated land. Based on above-shown result, in terms of saline tolerance of Chalok-2 variety, growth suppression was serious with 100mM NaCl solution. However, growth was expected that seedling growth would be favorable under 50 mM NaCl solution.

A VERY SINGULAR SOLUTION OF A DOUBLY DEGENERATE PARABOLIC EQUATION WITH NONLINEAR CONVECTION

  • Fang, Zhong Bo
    • 대한수학회지
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    • 제47권4호
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    • pp.789-804
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    • 2010
  • We here investigate an existence and uniqueness of the nontrivial, nonnegative solution of a nonlinear ordinary differential equation: $$[\mid(w^m)]'\mid^{p-2}(w^m)']'\;+\;{\beta}rw'\;+\;{\alpha}w\;+\;(w^q)'\;=\;0$$ satisfying a specific decay rate: $lim_{r\rightarrow\infty}\;r^{\alpha/\beta}w(r)$ = 0 with $\alpha$ := (p - 1)/[pd-(m+1)(p-1)] and $\beta$:= [q-m(p-1)]/[pd-(m+1)(p-1)]. Here m(p-1) > 1 and m(p - 1) < q < (m+1)(p-1). Such a solution arises naturally when we study a very singular solution for a doubly degenerate equation with nonlinear convection: $$u_t\;=\;[\mid(u^m)_x\mid^{p-2}(u^m)_x]_x\;+\;(u^q)x$$ defined on the half line.

호도약침액(胡桃藥鍼液)이 가토(家兎) 뇌(腦)의 Synaptosome에서 Oxidant에 의한 물질이동계(物質移動系)의 장애(障碍)에 미치는 영향(影響) (The Effect of Juglandis Semen Extract Solution on Oxidant-Induced Alteration of Glutamate Uptake in Rabbit Brain Synaptosome)

  • 김태국;윤현민;장경전;송춘호;안창범
    • Korean Journal of Acupuncture
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    • 제17권1호
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    • pp.179-190
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    • 2000
  • This study was undertaken to determine whether Juglandis semen extract solution (JLS solution) exerts protective effect against oxidant-induced inhibition of glutamate uptake by synaptosomes. Synaptosome was prepared from rabbit brain cortex. Glutamate uptake increased by incubation time during 10 minutes, which was significantly inhibited by 1mM t-buthylhydroperoxide(t-BHP). JLS solution prevented t-BHP-induced inhibition of glutamate uptake in a dose-dependent manner. t-BHP reduced glutamate uptake in dose-dependent fashion, which was significantly prevented by 2% JLS solution. t-BHP(1mM) and $ascorbate/Fe^{2+}(50/1{\mu}M)$ increased lipid peroxidation in synaptosomes by 5-fold, and it was significantly prevented by 2% JLS solution. $HgCl_2(0.1mM)$ inhibited glutamate uptake and increased lipid peroxidation. These changes were prevented by 2% JLS solution. Synaptosomal Na-K-ATPase activity was inhibited by t-BHP(1mM) and $H_2O_2(50mM)$, which was prevented by 2% JLS solution. The results indicate that JLS solution prevents oxidant-induced inhibition of glutamate by synaptosomes, and this may result from inhibition of lipid peroxidation induced by oxidants.

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생쥐 1-세포기 수정란의 동결방법에 있어서 초자화동결과 완만동결의 비교 (Comparison of Vitrification and Slow Freezing-thawing Method on 1-cell Zygotes)

  • 이지향;한혁동;구혜영
    • Clinical and Experimental Reproductive Medicine
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    • 제28권3호
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    • pp.191-198
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    • 2001
  • Objective : This study was conducted to examine the effect of vitrification on the survival and in vitro development of mice 1-cell zygotes. Method: Effects of exposure to vitrification solution and vitrification, with different concentrations of the cryoprotectant solution, were examined. The 1-cell zygotes were also subjected to a slow freezing-thawing method to compare with vitrification method. Solution composed of ethylene glycol (6.0 M, 5.0 M, 4.0 M) and sucrose (1.0 M) were used as cryopropectant. The experiments employed the method loading the embryos on electron microscope grids. Results: I. The effects of exposure in vitrification solution. 1-cell zygotes were non-toxic at all concentrations of the vitrification solution showing the survival rate between 88.1% and 97.5%. Development into 2-cell was more successful in the higher concentrations of the vitrification solution. Therefore, higher concentrations of the vitirification solution do not seem to cause any problems in vitrification procedure. II. The effects of vitrification method. 1-cell zygotes showed the survival rate between 78.8% and 92.4%. The lowest and the highest survival rate was observed in the 6.0 M and 4.0 M vitrification solution, respectively. 2-cell development rates varied from 77.6% to 91.3%. Blastocyst development rate was shown highest in 5.0 M and the lowest in 4.0 M solution. Therefore, the highest 2-cell and blastocyst development rate was observed in 5.0 M solution. III. Comparison of vitrification and slow freezing-thawing method on 1-cell zygotes. This experiment showed that 1-cell zygotes had the highest survival and development rates in 5.0 M vitrification solution. Vitrified group of 1-cell zygotes, in the 5.0 M vitrification solution, were compared with the group processed in slow freezing-thawing method. The development rate into 2-cell and blastocyst as well as the survival rate were higher in the vitrified group than in the slowly freezed group. Conclusion: 1. The results demonstrate that the best cryoprotectant is a 5.0 M vitrification solution for 1-cell zygotes. 2. Vitrification method significantly increases the survival rate of the 1-cell zygote and its development into 2-cell and blastocyst. Equilibration and exposure time during the vitrification was remarkerbly short in this experiment. Total time, from the exposure to vitirification solution to storage in the liquid nitrogen, was taken only 90 seconds. In contrast, the slow freezing-thawing method have taken more than four hours. Taken together, we presume that the overall time used for the procedure contributes to the results as an important parameter. 3. The loading of 1-cell zygotes on the EM grid is technically more simple and takes less time than the straw or cryo vial method.

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T.M.C.P. 강의 부식피로거동에 미치는 염분의 영향에 관한 연구 (The Study on the Influence of the Concentration NaCl Solution on Corrosion Fatigue Behavior of T.M.C.P. Steel)

  • 이상호;한정섭
    • 한국해양공학회지
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    • 제7권2호
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    • pp.131-140
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    • 1993
  • To study the corrosion fatigue begavior of T.M.C.P. steel, the rotary bending fatigue test with the change of concentration of NaCl solution was carried out. Fatigue life in the corrosion environment is decreased markedly in comparision with that in the air. Fatigue limit in the air was about 225 MPa. In case of 3.5% NaCl solution fatigue life could be expressed as .sigma./sub f/=10,392 * (N/sub f/)/sup -o.2923 . According to the paris's rule, crack growth rates could be expressed as da/dN=2.62.*10/sup -7/ .DELTA. K/sup 1.09/(3.5% NaCl solution), da/dN=1.95 *10/sup -7 .DELTA. K/sup 1.05/(1% NaCl solution), da/dN=2.62 * 10/sup -7/.DELTA./sup 0.72/(0.01% NaCl solution) with da/dN expressed in mm/cycle and .DELTA.K in MPa.GAMMA.m. The crack growth rate in the corrosion environment was highest under 3.5% NaCl solution.

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전계효과 트랜지스터(FETs)를 이용한 전하 검출형 DNA 센서에서 Debye length에 따른 검출 감도 (Sensitivity of a charge-detecting label-free DNA sensor using field-effect transistors (FETs) depending on the Debye length)

  • 송광섭
    • 전자공학회논문지SC
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    • 제48권2호
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    • pp.86-90
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    • 2011
  • 전계효과 트랜지스터(FETs)를 이용한 전하 검출형 DNA센서는 DNA가 가지고 있는 음전하를 중성화 시키는 양이온의 영향은 매우 중요하다. 본 논문에서는 양이온 농도에 의존하는 Debye length에 관한 연구를 통해 DNA 검출감도를 평가하였다. Debye length는 낮은 농도의 NaCl 용액에서 긴 거리를 유지하며, Debye length가 높은 용액에서 DNA가 가지고 있은 음전하는 게이트 채널에 보다 많은 영향을 미친다. 용액내 NaCl농도가 1 mM인 버퍼 용액에서 상보적 DNA의 hybridization에 의한 전계효과 트랜지스터의 게이전압은 21 mV 시프트 했으며, NaCl 농도가 10 mM인 버퍼 용액에서는 7.2 mV, NaCl농도가 100 mM인 버퍼 용액에서는 전계효과 트랜지스터의 게이트 전압이 5.1 mV 각각 시프트 하였다. 이러한 결과를 바탕으로 전계효과 트랜지스터를 이용한 전하 검출형 DNA센서의 검출 감도는 Debye length에 의존하는 것을 규명하였다.

Ca과 BSA가 소 정자세척액내 수소이온농도에 미치는 영향 (Effect of Ca and BSA on Hydrogen Ion Concentration in Bovine Sperm Washed Solution)

  • 박영식;임경순
    • 한국가축번식학회지
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    • 제15권3호
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    • pp.201-205
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    • 1991
  • This study was carried out to investigate the effects of Ca and BSA on hydrogen ion concentration in sperm washed solution. The results obtained were as follows : 1. The hydrogen concentration in 1st and 2nd sperm washed solutions was signifcinatly(p<0.01) higher when sperm was washed with SHPsolution containing 2mM Ca than when sperm washed with SHP solution or SHP solution containing 10mM Ca. 2. The hydrogen ion concentration in sperm washed solution was significnatly(p<0.05) higher when seprm was washed with SHP solution containing BSA-FAF than when sperm was washed with SHP solution or SHP solution containing BSA-V.

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X-537A가 정자세척액내 수소이온농도와 소 정자의 첨모반응에 미치는 영향 (Effect of X-537A on Hydrogen Ion Concentration in Sperm Washed Solution and Sperm Acrosome Reacton in Bovine)

  • 박영식;임경순
    • 한국가축번식학회지
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    • 제15권3호
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    • pp.189-193
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    • 1991
  • This study was carried out ot investigate effects of X-537A on hydrogen ion concentration insperm washed solution and sperm acrosome reaction. The results obtained were as follows. 1. When bovine sperm was twice washed with SHP solutions of pH 6.8 and 7.4 and again washed with SHP solution containing 4$\mu$M of X-537A, in case of pH 6.8 the sperm washed with 4$\mu$M of X-537A showed signifciantly(p<0.01) higher hydrogen ion concentration in sperm washed solution than the sperm washed without X-537A. 2. When the sperm was twice washed with SHP solution and then washed with SHP solution containing 4$\mu$M of X-537A, sperm acrosome rection rate was signifciantly(p<0.01) increased from 12min after incubation in the sperm washed without X-537A, but was signifciantly(p<0.01) increased from 8 min after incubation in the sperm washed with 4$\mu$M of X-537A. 3. When the sperm was twice washed with SHP solution and then washed with SHP solution containing 0, 4 and 40$\mu$M of X-537A, and then incubated in m-TALP for 120 min, sperm acrosome reaction rate was significantly(p<0.01) increased from 15 min after incubation in 0, 4 and 40$\mu$m OF X-537A. However at 60 min incubation 40$\mu$M of X-537A showed significantly(p<0.01) higher sperm acrosome reaction rate than 0 and 4$\mu$M and at 120 min incubation 4 and 40$\mu$M of X-537A showed signifciantly(p<0.01) higher acrosome reaction rate than 0$\mu$M of X-537A.

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