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AN INVESTIGATION ON GEOMETRIC PROPERTIES OF ANALYTIC FUNCTIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS EXPRESSED BY HYPERGEOMETRIC FUNCTIONS

  • Akyar, Alaattin;Mert, Oya;Yildiz, Ismet
    • Honam Mathematical Journal
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    • v.44 no.1
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    • pp.135-145
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    • 2022
  • This paper aims to investigate characterizations on parameters k1, k2, k3, k4, k5, l1, l2, l3, and l4 to find relation between the class of 𝓗(k, l, m, n, o) hypergeometric functions defined by $$5_F_4\[{\array{k_1,\;k_2,\;k_3,\;k_4,\;k_5\\l_1,\;l_2,\;l_3,\;l_4}}\;:\;z\]=\sum\limits_{n=2}^{\infty}\frac{(k_1)_n(k_2)_n(k_3)_n(k_4)_n(k_5)_n}{(l_1)_n(l_2)_n(l_3)_n(l_4)_n(1)_n}z^n$$. We need to find k, l, m and n that lead to the necessary and sufficient condition for the function zF([W]), G = z(2 - F([W])) and $H_1[W]=z^2{\frac{d}{dz}}(ln(z)-h(z))$ to be in 𝓢*(2-r), r is a positive integer in the open unit disc 𝒟 = {z : |z| < 1, z ∈ ℂ} with $$h(z)=\sum\limits_{n=0}^{\infty}\frac{(k)_n(l)_n(m)_n(n)_n(1+\frac{k}{2})_n}{(\frac{k}{2})_n(1+k-l)_n(1+k-m)_n(1+k-n)_nn(1)_n}z^n$$ and $$[W]=\[{\array{k,\;1+{\frac{k}{2}},\;l,\;m,\;n\\{\frac{k}{2}},\;1+k-l,\;1+k-m,\;1+k-n}}\;:\;z\]$$.

Optimum Dissolved Oxygen Level for the Growth of the Israeli Strain of Common Carp, Cyprinus carpio in the Recirculating Water System (순환여과식 사육장치내에서 이스라엘계 잉어(Cyprinus carpio)의 성장을 위한 최적용존산소량)

  • KIM In-Bae;KIM Pyong-Kih
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.19 no.6
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    • pp.581-585
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    • 1986
  • A growth experiment of the Israeli strain of common carp (Cyprinus carpio) under varying dissolved oxygen levels in the recirculating water system was conducted at the Fish Culture Experiment Station of the National Fisheries University of Pusan from August 28, 1985 to September 17, 1985. Five tanks with a capacity of $5m^3$ of water each were used under the same condition of water parameters except for dissolved oxygen levels which were designed to maintain at 2.0, 2.5, 3.0, 3.5 and 4.0 mg/l ranges. The weight of fish in the beginning was about 300g and each tank was stocked with 200kg of fish. DO level of 3.5mg/l was found to be the best level with a feed coefficient of 1.57 and a daily growth rate of $1.411\%$ whereas 4.mg/l showed a slightly decreased performance of 1.63 and $1.365\%$ respectively. The amounts of feed consumed in 3.5 and 4.0mg/l DO levels were almost the same. Below 3.0mg/l DO levels the growth rate markedly decreased. Furthermore, in 2.0 and 2.5 mg/l groups, the fish did not accept feed vigorously and after feeding the fish usually concentrated around the inflow point showing oxygen deficiency response, The experiment indicates that the DO range of 3.5 to 4.0mg/l is the optimum level for the best growth at $27.5^{\circ}C$. DO concentration above these levels is considered a waste of energy resulting in uneconomical performance, and on the other hand, below these levels, the carp certainly shows a poor growth performance.

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Activity of the Extracts from Polyporus umbellatus as a Apoptosis Inducer (저령의 암세포증식 억제효능)

  • 신유진;김봉선;서용준;조덕제;최원일;이용규
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.33 no.6
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    • pp.1074-1077
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    • 2004
  • The effect of gradient eluted fractions from Et$_2$O extracts of Polyporus umbellatus screlotium was investigated on the viability of leukemia cell lines, K-562, L-1210, HL-60 and U-937 cells. Among those fractions, fraction 2 showed mild cytotoxic effect on L-1210 and HL-60 cells. Fraction 3 showed cytotoxic effect on 4 cell lines, and cytotoxic effect was the most potent on L-1210. The hallmark of apoptosis, DNA fragmentation, also appeared by fraction 3 on L-1210 after 48 hr treatment. Furthermore, this fraction was shown to be able to induce cell death on L-1210 cells by the inhibition of DNA synthesis in [$^3$H]thymidine incorporation test. From these results, P. umbellatus involves a potent chemical component that inhibits the viability of leukemia cell lines, L-1210. Further studies about the components of fraction 3 to function as a apoptosis inducer are necessary.

A Study on the Water Quality of Domestic Mineral Water (Saeng Su) (국내 보존음료수(생수)의 성분에 관한 연구)

  • 류의형;이중근;김성조
    • Journal of Environmental Health Sciences
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    • v.16 no.2
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    • pp.41-45
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    • 1990
  • This study was performed to analyze for the mineral water (Saeng Su) from 12 pure beverage Co. products, which was obtained during March to May in 1988. The results were as follows: 1. The analytical results of contaminant materials in all the samples were suitable for drinking water standard. The mean value of NH$_{3}$-N, NO$_{3}$-N, Cl-and KMnO$_{4}$ consumption were ND, 49mg/l, 1.08mg/l and 8.14mg/l, respectively. 2. Total bacterial counts were 3/cc in average and Coliforms was negative in all samples. 3. The analytical results of Heavy metals were not detected or detected in a small amount, and the contents were different from each company. The CN, Hg, P were not detected in all the samples and the mean value of Cu, Fe, Mn were 0.0087mg/l, 0.0303mg/l, 0.018mg/l, respectively and it's contents were low. 4. The mean value of Pb, Zn, Cr$^{+6}$, As and Cd were 0.016mg/l, 0.015mg/l, 0.0025mg/l. 0.0059mg/l and 0.0011mg/l respectively.

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Hibiscus Sabdariffa L. Inhibits the Insulin Signaling in Adipogenesis (지방세포분화에서 Hibiscus 추출물에 의한 Insulin signaling 억제효과)

  • Kim, Jin-Kyung;Song, Jeong-Hoon
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.21 no.1
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    • pp.86-92
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    • 2007
  • Hibiscus sabdariffa L., a tropical beverage material, is used commonly as in folk medicine against hypertension, pyrexia, inflammation, liver disorders, and obesity. However, the mechanism by which Hibiscus sabdariffa L. modulates adipogenic differentiation is remained to be elusive. This report was designed to investigate the inhibitory effect of Hibiscus extract on insulin signaling pathway during adipocyte differentiation in 3T3-L1 preadipocytes. 3T3-L1 preadipocytes were differentiated with isobutylmethylxanthine, dexamethasone, and insulin (MDI) and followed by the addition of Hibiscus extract. Treatment with Hibiscus resulted in a decrease of lipid droplet accumulation, which was suppressed by PI-3 kinase inhibitor wortmannin in 3T3-L1 preadipocytes. Also, Hibiscus extract markedly attenuated the mRNA expression of adipogenic transcriptional factor PPAR${\gamma}$ and adipogenic hormon Leptin during adipogenesis. However, it did not affect the expression of adiponectin in 3T3-L1 preadipocytes differentiated with MDI mixture. Furthermore, Adipogenic differentiation by MDI mixture increased the phosphorylation and expression of PI3-Kinase and Akt in 3T3 preadipocytes, which was markedly suppressed by Hibiscus extract treatment. Taken together, our results suggest that Hibiscus extract suppressed the adipogenic differentiation of 3T3 preadipocytes through activation of PI3-Kinase and Akt signaling pathway.

Effect of Plant Growth Regulators on Flowering and Micropropagation of Gentiana scabra Bunge In Vitro. (용담의 기내 개화 및 증식에 관한 연구)

  • Son, Beung-Gu;Choi, Young-Whan;Ahn, Chong-Kil;Cho, Dong;Kwon, Oh-Chang;Park, Jung-Ki
    • Journal of Life Science
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    • v.6 no.1
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    • pp.40-47
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    • 1996
  • Experiments were conducted to determine the effects of plant growth regulators on in vitro flowering and micropropagation of Gentiana scabra Bunge which had been used the cut flower, pot flower ornamental and medicinal plants. Flower bud formation was affected by GA$_{3}$ and kinetin. The optimum concentrations for flower bud formation was observed at 0.5 mg/l kinetin and GA$_{3}$ , while kinetin was favorable. More flowerings result from the interaction of GA$_{3}$ and kinetin at in a combination of 0.1 mg/l kinetin + o.1 mg/l GA$_{3}$, but the optimum concentration of GA$_{3}$ and kinetin was decreased. All concentrations of kinetin with 0.1 mg/l GA$_{3}$ or O mg/l GA$_{3}$ + 0.5 mg/l kientin reduced t (weeks needed for 50% plantlets). The plantlet growth was affected by GA$_{3}$ and kinetin during plantlet culture. More lateral shots and better shoot length per plantlet were obtained as GA$_{3}$ and kinetin concentration were increased up to 1.0 mg/l. The number of per plantlet was greater increased in MS medium containing GA$_{3}$ than kinetin. Interaction was exhibited at lower concentration with 0.5mg/l GA$_{3}$ and kinetin, but not in higher concentration with 1.0 mg/l GA$_{3}$ and kinetin. Higher pod diameter increased seed germination, while lower pod diameter was obtained from abnormal plantlet. MA medium containing 0.5 mg/l GA$_{3}$ significantly increased germination without regard to pod diameter.

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Survey on Canine Leptospiral Antibody Titer in Seoul (서울지역 견의 렙토스피라 항체가 조사)

  • 최준식;김성원;오영희;김성삼
    • Korean Journal of Veterinary Service
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    • v.14 no.1
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    • pp.1-5
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    • 1991
  • A serological survey for antibody of Leptospira spp. in canine was carried out from March to September, 1989 in Seoul. 182 serums collected from animal hospitals and keeping were collected and these were performed by using 12 different living antigens. In the microscopic agglutination test(MAT), being partial agglutination reaction at a serum dilution of 1:200 or over, we recorded it as positive. These results were compared with the species, sex and general conditions of canines, the areas and types of animal keeping. The results were summarized as followed ; 1. We detected the antibodies L. grippotyphosa 1 and L. icteroheamorrhagiae 1 in A area(total 48 heads ), L. canicola 1 and L. icterohaemorrhagiae 4 in B area(total 52 heads), L. hardjo 1 and L. icterohaemorrhagiae 2 in C area (total 32 heads), L. icterohaemorrhagiae 1 in D area(total 23 heads) L. grippotyposa 1 and L. icterohaemorrhagiae 2 in E area(total 27 heads) by MAT. There were positives for L. canicola 1, L. grippotyposa 2, L. hardjo 1 and L. icterohaemorrhagiae 10 in 5 areas by MAT. 2. The deteclive rate of leptospiral antibody in Jindo canine was 17.6% (3) among 17, Mixed 4.4% (4) among 90 and Exotic 9.3% (7) among 75 heads. 3. The Male(91 heads) was positive for 8.7%(8) and the female(91 heads) was positive for 6.5%(6). 4. In the vaccination, positive rate was 10.3% (7) among 55 heads, and in the unvaccination, positive rate was 5.5%(7) among 127 heads.

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Leaves of Cudrania tricuspidata on the Shoot Positional Sequence Show Different Inhibition of Adipogenesis Activity in 3T3-L1 Cells (꾸지뽕 신초 엽위별 잎 추출물의 항비만 효과)

  • Park, Ju Ha;Guo, Lu;Kang, He Mi;Son, Beung Gu;Kang, Jum Soon;Lee, Yong Jae;Park, Young Hoon;Je, Byoung Il;Choi, Young Whan
    • Journal of Life Science
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    • v.31 no.2
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    • pp.209-218
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    • 2021
  • This study aimed to evaluate the anti-obesity effects of Cudrania tricuspidata leaf extract in the order of leaf development on the shoot (L0, L1, L2, L3, L4, and L5). The leaves at the apex of a Cudrania tricuspidata shoot were classified as L0; the next leaves of the apex were classified as L1, L2, L3, and L4 from highest to lowest; and the lowest leaf was classified as L5. A series of 70% ethyl alcohol leaf extracts were screened for the inhibitory effects of adipogenesis in 3T3-L1 preadipocytes. We found that the apical leaf extract of Cudrania tricuspidata (CTL0) was the most effective. Next, a study was conducted on the inhibitory action mechanism of CTL0. Treatment with CTL0 significantly suppressed the differentiation of 3T3-L1 preadipocytes in a dose-dependent manner, as confirmed by the decrease in lipid droplet content observed with Oil Red O staining. Treatment with 12.5 ㎍/ml, 25 ㎍/ml, and 50 ㎍/ml of CTL0 significantly reduced the lipid droplet content. Glucose and cellular triglyceride concentrations were reduced in the 3T3-L1 cells on the CTL0-treated medium compared to the differentiation medium (DM control, DMEM + insulin + dexamethasone + rosiglitazone). Compared with DM, CTL0 significantly inhibited the expression of key pro-adipogenic transcription factors, including peroxisome proliferator-activated receptor γ (PPARγ), LPL, A-FABP, and Glut4. These findings show that CTL0 extract has potent anti-obesity effects.

Extension of L-Fuzzy Topological Tower Spaces

  • Lee Hyei Kyung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.389-394
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    • 2005
  • The purpose of this paper is to introduce the notions of L-fuzzy topological towers by using a completely distributive lattic L and show that the category L-FPrTR of L-fuzzy pretopoplogical tower spaces and the category L-FPsTR of L-fuzzy pseudotopological tower spaces are extensional topological constructs. And we show that L-FPsTR is the cartesian closed topological extension of L-FPrTR. Hence we show that L-FPsTR is a topological universe.

Sequential Anoxic/Aerobic Biofilm Reactors and MF Membrane System for the Removal of Perchlorate and Nitrate (무산소/호기생물막반응조와 MF막의 연속처리에 의한 퍼클로레이트와 질산염 제거)

  • Choi, Hyeoksun
    • Journal of Korean Society of Environmental Engineers
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    • v.35 no.5
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    • pp.301-306
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    • 2013
  • This research was conducted to investigate whether sequential anoxic/aerobic biofilm reactors and microfilteration (MF) membrane system can be used as a direct treatment for the removal of perchlorate and nitrate in groundwater. The biofilm process consisted of an anoxic first stage to remove perchlorate and nitrate and aerobic second stage to remove remaining acetate used as a carbon source for dissimilatory reduction of perchlorate and nitrate. In final stage, hollow fiber MF membrane was used to remove turbidity. In this research, perchlorate was reduced from the influent concentration of 102 ${\mu}/L$ to below the IC detection level (5 ${\mu}/L$) and nitrate was reduced from 61.8 mg/L (14 mg/L $NO_3$-N) to 4.4 mg/L (1 mg/L $NO_3$-N). Acetate used as a carbon source was consumed from 179 mg/L $CH_3COO-$ to 117 and 11 mg/L $CH_3COO^-$ in effluents from anoxic and aerobic biofilm reactors, respectively. Turbidity was reduced from 3.0 NTU to 1.5, 0.3, and 0.2 NTU in effluents from anoxic/aerobic biofilm reactors and MF membrane, respectively. It is expected that the sequential anoxic/aerobic biofilm reactors and MF membrane system can efficiently remove perchlorate and nitrate in surface water or groundwater.