• Journal of the Korean Mathematical Society
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• v.58 no.5
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• pp.1227-1237
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• 2021

This paper is concerned with a reaction-diffusion logistic model. In [17], Lou observed that a heterogeneous environment with diffusion makes the total biomass greater than the total carrying capacity. Regarding the ratio of biomass to carrying capacity, Ni [10] raised a conjecture that the ratio has a upper bound depending only on the spatial dimension. For the one-dimensional case, Bai, He, and Li [1] proved that the optimal upper bound is 3. Recently, Inoue and Kuto [13] showed that the supremum of the ratio is infinity when the domain is a multi-dimensional ball. In this paper, we generalized the result of [13] to an arbitrary smooth bounded domain in ℝⁿ, n ≥ 2. We use the sub-solution and super-solution method. The idea of the proof is essentially the same as the proof of [13] but we have improved the construction of sub-solutions. This is the complete answer to the conjecture of Ni.

• Solar Energy
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• v.19 no.4
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• pp.55-62
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• 1999

This study was performed to find out the influence of experimental factors on dehumidification performance and furthermore to suggest an optimal combination of factors of a total heat exchanger in a solar air conditioning system. The experimental apparatus was set up in a climate-controlled chamber where the temperature and humidity was maintained constant. In order to find out the contribution ratio of factors on dehumidification performance, the table of orthogonal arrays $L_8(2^7)$ was used. According to the results, the most influential factor on dehumidification performance was the concentration of LiCl(Lithium Chloride) solution. The next influential factors were the temperature of LiCl solution and the air flow rate. The packed layer height, packed material, and flow rate of LiCl solution had no influence on the dehumidification performance under these experimental conditions. Through the three level experiments of $L_{27}(3^{13})$, it was found that the optimal combination was $A_2B_0G_2$(concentration of solution 30 wt%, temperature of solution $15^{\circ}C$, air flow rate $253m^3/h$).

• Textile Coloration and Finishing
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• v.12 no.6
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• pp.380-388
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• 2000

The porosity of polyester fibers treated with sodium hydroxide aqueous solution was investigated using a nitrogen porosimeter, and the dyeability of the treated fibers was discussed in terms of the porosity. In pore distribution, the polyester fibers treated with sodium hydroxide aqueous solution were characterized by higher amount of pores below $10\AA$ than those of the untreated fibers, and by shift of the pore size having maximum accumulated volume from $10\AA$ for the untreated fibers to $5~6\AA$. As the weight loss of the polyester fibers treated with sodium hydroxide aqueous solution increased, BET surface area and total pore volume increased linearly, but average pore size, showing some different aspect, increased steeply at earlier stage and then approached the maximum value. The dye uptakes of the polyester fibers treated with sodium hydroxide aqueous solution increased with the BET surface area, the total pore volume and the average pore size. The alkali treatment increased the surface area of polyester fibers, so that the chance of contact between the fiber and dye molecules increased. In addition, the pores created on the surface of polyester fibers by alkali treatment might act as pathways for dye molecules into the polyester fibers.

• IT SoC Magazine
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• s.20
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• pp.56-56
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• 2007

• KSBB Journal
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• v.17 no.6
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• pp.515-519
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• 2002

The changes in the levels of total soluble protein and some free amino acids were investigated in germinating brown rice. Nongerminated (N) brown rice was germinated for 72 hrs by applying following solutions: 1) distilled water (W), 2) 50 ppm chitosan in 5 mM lactic acid (CL), and 4) 50 ppm chitosan in 5 mM glutamic acid (CG). The level of total soluble protein was higher in the N extract than those of W, CL and CG. Alanine levels were enhanced and aspartic acid levels were decreased significantly in the germinated brown rice, highest increases of alanine were found in the CG germinated brown rice. The levels of serine, decreased during germination in solutions W and CL, were increased significantly by germination in CG solution. The levels of essential amino acids, such as Iysine, isoleucine and methionine were also increased significantly by germination in CG solution. Our results show that the germination of brown rice with CG solution can significantly increase the levels of alanine and some other essential amino acids and can restore the serine level.

• Food Science and Preservation
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• v.20 no.1
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• pp.62-68
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• 2013

A fine granule was prepared using freeze-dried royal jelly. For its preparation, which depended on operational parameters like its glucose-to-total sugar content ratio ($X_1$,0-100%), ethanol concentration ($X_2$,75-95%) and sprayed ethanol solution content ($X_3$,8-12%) using freeze-dried royal jelly, the response surface methodology was used to monitor the optimum conditions for the yield, the fragmentation rate with shaking, and the organoleptic properties. The maximum yield was 89.99% with a glucose-to-total sugar content ratio of 59.30%, an ethanol concentration of 88.64%, and a sprayed ethanol solution content of 11.83%. The minimum fragmentation rate by shaking was 0.82% at the glucose-to-total-sugar content ratio of 22.35%, the ethanol concentration of 77.21%, and the sprayed ethanol solution content of 10.59%. The sensory score for the overall palatability of the organoleptic properties was 7.45 at the glucose-to-total-sugar content ratio of 31.81%, the ethanol concentration of 93.96%, and the sprayed ethanol solution content of 10.51%.

• Applied Chemistry for Engineering
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• v.16 no.6
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• pp.785-789
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• 2005

$TiO_2$ powders with rutile and brookite phases were synthesized through homogeneous precipitation of the aqueous $TiOCl_2$ solution, prepared from $TiCl_4$ and HCl solution, and their properties were characterized. Based on the analytical results appropriate molar ratios of ${Cl^-}_{total}:Ti^{+4}$ in precipitating solution for synthesis of pure rutile phase and a mixture of rutile and brookite phases were proposed. The volumetric proportion of brookite increased with increasing HCl concentration under a typical condition obtaining mixed phase of rutile and brookite. The brookite phase in the mixture was transformed to anatase phase by heat treatment at about $800^{\circ}C{\sim}850^{\circ}C$, and finally converted to rutile phase at $1000^{\circ}C$.

• Korean Journal of Agricultural Science
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• v.49 no.3
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• pp.643-653
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• 2022

This study investigated which nutrient solution is suitable for growth and secondary metabolite contents when three different vegetable plants are grown simultaneously in one hydroponic cultivation bed. Seeds of pak choi (Brassica compestris L. ssp chinsensis), red mustard (Brassica juncea L.), and arugula (Eruca sativa Mill.) were sown in the shape of a triangle in three places on rockwool cubes. The rockwool cubes were placed in semi deepflow technique (semi-DFT) hydroponic systems in a rooftop greenhouse after three weeks of growth as seedlings then cultivated with four different nutrient solutions, Korea Horticultural Experiment Station (KHE), Hoagland, Otsuka-A, and Yamazaki, at the rooftop greenhouse for two weeks. The leaf area of pak choi cultivated in Otsuka-A was the largest but SPAD values, leaf area, and fresh weight of arugula were highest with KHE treatment. The total glucosinolate (GSL) content of pak choi was 151.7% higher in KHE than in Hoagland, and there was no significant difference in Yamazaki and Otsuka-A treatments. The total GSL content of red mustard was 34.6 μmol·g^-1 in Hoagland, and it was 32.6% higher in Hoagland than in Yamazaki. Total GSL content of arugula was 57.5% higher in Yamazaki and Hoagland nutrients than in KHE and Otsuka-A nutrients solutions. The total GSL content of three plants grown with KHE was 40.7% higher than with Yamazaki, and the other nutrient solutions did not show significant differences. Therefore, KHE nutrient solution is considered suitable for nutrient solution composition for the cultivation of three different Brassicaceae crops in a single hydroponic cultivation system.

• The Journal of Korean Obstetrics and Gynecology
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• v.19 no.2
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• pp.49-61
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• 2006

Purpose : This study was undertaken to evaluate the effects of the different administration duration of Ginseng Radix Alba extract solution on the spermatogenic abilities. Methods : We used the 2-month-old mice and administered Ginseng Radix Alba extract solution 0.3mg/g/day for 30, 60, 90 and 120 days. The control group was administered the normal saline in the same way. We examined the number of total, motile and normal sperm from the cauda epididymis, the activities of sperm hyaluronidase. Also we observed changes of isolated testis before and after administration of Ginseng Radix Alba extract solutions in the mice. And we compared to the testicular tissue especially seminiferous tubules between control and treated group by histochemical methods. Results : The significant differences were observed in the concentration of total sperm and normality of spermatozoa of the Ginseng Radix Alba extract solution administered groups compared to the control group in 60, 90 and 120days groups. The significant differences were observed the motility of the Ginseng Radix Alba extract solution administered groups compared to the control group in 90 days group respectively. In the histological analysis of the testicular tissues, the enlargement of testicular lobe diameter and apparent vasculogenesis between testicular lobes were observed in the Ginseng Radix Alba extract solution administered groups compared to the control group, respectively. but the activity of hyaluronidase was not significantly increased in the Ginseng Radix Alba extract solution administered groups Conclusion : This study shows that Ginseng Radix Alba has the beneficial effect on the concentration, morphology and motility of sperm especially in 90 days administration group. We can suggest that Ginseng Radix Alba extract solution be useful for the treatment of male sexual dysfunctions and infertility.

• Journal of the Korean Society of Food Science and Nutrition
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• v.32 no.5
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• pp.689-694
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• 2003

Propolis obtained from honeybee hives has been used in oriental folk medicine as an anti-inflammatory, anti-carcinogenic, or immunomodulatory agent. To prepare granule depending on operational parameters, such as glucose content to total sugar (X$_1$, 0~100%), ethanol concentration (X$_2$, 20~100%) and sprayed ethanol solution content (X$_3$, 6~10%) using propolis, response surface methodology was applied to monitor the changes in yield, fragmentation rate by shaking and organoleptic properties. Yield showed high with decreasing sprayed ethanol solution content and fragmentation rate by shaking decreased with increasing sprayed ethanol solution content. The organoleptic color, flavor, taste, mouth-feel and overall palatability were dependent on the glucose content to total sugar, ethanol concentration and sprayed ethanol solution content. Overall palatability was maximized in glucose content to total sugar 47.94%, ethanol concentration 56.45% and sprayed ethanol solution content 8.04% .