• Communications of the Korean Mathematical Society
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• v.10 no.1
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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.

• Proceedings of the Korean Society of Crop Science Conference
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• 2017.06a
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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.

• KOREAN JOURNAL OF CROP SCIENCE
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• v.50 no.1
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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.

• Journal of the Korean Mathematical Society
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• v.47 no.4
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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.

• Korean Journal of Acupuncture
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• v.17 no.1
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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.

• Clinical and Experimental Reproductive Medicine
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• v.28 no.3
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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.

• Journal of Ocean Engineering and Technology
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• v.7 no.2
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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.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.48 no.2
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• pp.86-90
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• 2011

The effects of cations are very important in field-effect transistors (FETs) type DNA sensors detecting the intrinsic negative charge between single-stranded DNA and double-stranded DNA without labeling, because the intrinsic negative charge of DNA is neutralized by cations in electrolyte solution. We consider the Debye length, which depends on the concentration of cations in solution, to detect DNA hybridization based on the intrinsic negative charge of DNA. The Debye length is longer in buffer solution with a lower concentration of NaCl and the intrinsic negative charge of DNA is more effective on the channel surface in longer Debye length solution. The shifts in the gate voltage by DNA hybridization with complementary target DNA are 21 mV in 1 mM NaCl buffer solution, 7.2 mV in 10 mM NaCl buffer solution, and 5.1 mV in 100 mM NaCl buffer solution. The sensitivity of FETs to detect DNA hybridization based on charge detection without labeling depends on the Debye length.

• Korean Journal of Animal Reproduction
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• v.15 no.3
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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.

• Korean Journal of Animal Reproduction
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• v.15 no.3
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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.