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THREE RESULTS ON TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS

  • Li, Nan;Yang, Lianzhong
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.4
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    • pp.795-814
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    • 2021
  • In this paper, we study the transcendental meromorphic solutions for the nonlinear differential equations: fn + P(f) = R(z)eα(z) and fn + P*(f) = p1(z)eα1(z) + p2(z)eα2(z) in the complex plane, where P(f) and P*(f) are differential polynomials in f of degree n - 1 with coefficients being small functions and rational functions respectively, R is a non-vanishing small function of f, α is a nonconstant entire function, p1, p2 are non-vanishing rational functions, and α1, α2 are nonconstant polynomials. Particularly, we consider the solutions of the second equation when p1, p2 are nonzero constants, and deg α1 = deg α2 = 1. Our results are improvements and complements of Liao ([9]), and Rong-Xu ([11]), etc., which partially answer a question proposed by Li ([7]).

Quality Characteristics of Rice $Makgeolli$ Prepared by Mashing Types (담금유형에 따른 쌀 막걸리 술덧의 품질특성)

  • Park, Chan-Woo;Jang, Se-Young;Park, Eun-Ji;Yeo, Soo-Hwan;Jeong, Yong-Jin
    • Korean Journal of Food Science and Technology
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    • v.44 no.2
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    • pp.207-215
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    • 2012
  • Six different mashing types ((A) $koji$+purified enzyme, (B) $koji$+crude enzyme, (C) $koji$+$nuruk$, (D) $koji$+purified enzyme+$nuruk$, (E) $koji$+crude enzyme+$nuruk$, (F) purified enzyme+$nuruk$) had been established, according to fermentation agents and a mixing rate of rice $makgeolli$, in this study. The alcohol content was the highest in the mashing type (C), which was 13.6%, followed by (D) 13.5%, (A) 13.1%, (B) 12.9%, (E) 12.7% and (F) 12.1%. The reducing sugar content of (A) was the highest with 401.6 mg% and those of (B), (C), (D) and (F) were between 337.3- 380.9 mg%. The alcohol components were found and tended to increase during the fermentation. The oligo-saccharides content was the highest in (D) with 1251.3 mg%, which was followed by (E) 1,219.2 mg%, (C) 1,141.4 mg%, (A) 1,049.9 mg% and 973.8 mg% in (B). The total free amino acid was highest in (B) with 781.4 mg% and followed by (C) 703.2 mg%, (D) 702.6 mg%, (E) 678.7 mg%, (A) 630.4 mg% and (F) 328.7 mg% in order. There were 16 different types of volatile flavor components, in the mashing types (A) and (B), in addition to 15 different types of those in type (C), as well as 14 different types of those in (D), (E) and (F). There were significant differences in the overall preference between the type (A) and (C).

Serological Studies on the Specific Antibodies Against P-pili of Uropathogenic Escherichia coli (요로 감염환자에서 혈청학적 방법을 이용한 P-pili특이혈중 항체의 조사)

  • 이원용;김종배
    • Biomedical Science Letters
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    • v.2 no.1
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    • pp.31-40
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    • 1996
  • Escherichia coli is one of the most common etiological agents in urinary tract infection. An important virulence factor is the adhesive capacity of E. coli to uroepithelial cell, mediated by bacterial fimbriae. The Adhesion property has been regarded as an important virulence determinant in urinary tract infections. A total of 60 patients, who were diagnosed microbiologically as urinary tract infections, were examined by immunoblotting and enzyme-linked immunosorbent assay(ELISA). Uropathogenic E. coli with recombinant plasmid were positive for mannose resistant hemagglutination (MRHA). For identification of p-fimbriae subtype in uropathogenic E. coli, In the immunoblot analysis, specific bands in the range of p-fimbriae molecular weight of 17KD-22KD were identified. For the distribution of p-fimbriae subtype in the patient sera, 34/60(56.7%) were positive for $F7_1$, 28/60(46.7%) were positive for $F7_2$, and 30/60(50%) were positive for F13 with immunoblotting method. similar trends were observed in the enzyme-linked immunosorbent assay. Relatively good specificity(92.6%) and sensitivity(90%) were found in the ELISA test system using mixed antigens of purified $F7_1$, $F7_2$, and F13 p-fimbriae, and 60 sera from patients with urinary tract infections. In conclusion The serological tests were convenient method in diagnosis of urinary tract infections. among those ELISA could be recommended in diagnosis of urinary tract infections.

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Synthesis of Fe­Garnet for tile Immobilization of High Level Radioactive Waste (고준위 방사성폐기물의 고정화를 위한 Fe­석류석 합성 연구)

  • ;;;Yudintsev, S. V.
    • Journal of the Mineralogical Society of Korea
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    • v.16 no.4
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    • pp.307-320
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    • 2003
  • Garnet has been considered as a possible matrix for the immobilization of radioactive actinides. It is expected that Fe­based garnet be able to have the high substitution ability of actinide elements because ionic radius of Fe in tetrahedral site is larger than that of Si of Si­based garnet. Accordingly, we synthesized Fe­garnet with the batch composition of $Ca_{2,5}$C $e_{0.5}$Z $r_2$F $e_3$ $O_{12}$ and $Ca_2$CeZrFeF $e_3$ $O_{12}$ and studied their phase relations and properties. Mixed samples were fabricated in pellet forms under the pressure of 400 kg/$\textrm{cm}^2$ and were sintered in the temperature range of 1100∼140$0^{\circ}C$ in atmospheric conditions. Phase identification and chemical composition of synthesized samples were analyzed by XRD and SEM/EDS. In results, where the compounds were sintered at 130$0^{\circ}C$, we optimally obtained Fe­garnets as the main phase, even though some minor phases like perovskite were included. The compositions of Fe­garnets synthesized from the batch compositions of $Ca_{2,5}$C $e_{0.5}$Z $r_2$F $e_3$ $O_{12}$ and $Ca_2$CeZrFeF $e_3$ $O_{12}$, are $Ca_{2.5­3.2}$C $e_{0.3­0.7}$Z $r_{1.8­2.8}$F $e_{1.9­3.2}$ $O_{12}$ and $Ca_{2.2­2.5}$C $e_{0.8­1.0}$Z $r_{1.3­1.6}$ F $e_{0.4­.07}$ F $e_{3­3.2}$ $O_{12}$, respectively. Ca contents were exceeded and Ce contents were exceeded or depleted in 8­coodinated site, comparing to the initial batch composition. These results were caused by the compensation of the difference of ionic radius between Ca and Ce.

Enhanced Production of Chlorella ovalis and Dunaliella parva by the Rates of Medium Composition Obtained from the Fermented Animal Wastewater Including a Natural Substitute Chelator for EDTA (EDTA 대체용 천연 킬레이팅제를 함유한 발효 축산폐수의 배지조성률에 따른Chlorella ovalis와 Dunaliella parva의 생산성 강화)

  • Jeon, Seon-Mi;Jeune, Kyung-Hee;Kim, Mi-Kyung
    • ALGAE
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    • v.21 no.3
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    • pp.333-341
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    • 2006
  • The productivities of Chlorella ovalis and Dunaliella parva were influenced by the rates of medium compositions obtained from the fermented animal wastewater (BM: bacteria mineral water) including a natural substitute chelator for EDTA (etylenediaminetetraacetic acid). The most favorable medium was -E+50 adding 50% BM in f/2 medium instead of EDTA, a chemical chelator, which increased more 19-fold of cell density in C. ovalis and 7-fold in D. parva than cells cultured on f/2 medium as well as the enhancements of chlorophyll a (f/2-E: 0.26 g L–1, -E+50: 1.5 g L–1 in C. ovalis; f/2-E: 2.7 g L–1, -E+50: 15 g L–1 in D. parva) and the increase of maximal PSII quantum yields. These results were verified that the BM could play an important part as a natural chelator substituted for EDTA. In the fields of biotechnology, food organisms in fishery and eco-industries of CO2 sequestration in air and nutrient removal in water, the natural chelator of BM could be applied to enhance the biomass of the other microalgae.

ON A GENERALIZED DIFFERENCE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION AND STATISTICAL CONVERGENCE

  • Bataineh Ahmad H.A.
    • Communications of the Korean Mathematical Society
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    • v.21 no.2
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    • pp.261-272
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    • 2006
  • In this paper, we define the sequence spaces: $[V,{\lambda},f,p]_0({\Delta}^r,E,u),\;[V,{\lambda},f,p]_1({\Delta}^r,E,u),\;[V,{\lambda},f,p]_{\infty}({\Delta}^r,E,u),\;S_{\lambda}({\Delta}^r,E,u),\;and\;S_{{\lambda}0}({\Delta}^r,E,u)$, where E is any Banach space, and u = ($u_k$) be any sequence such that $u_k\;{\neq}\;0$ for any k , examine them and give various properties and inclusion relations on these spaces. We also show that the space $S_{\lambda}({\Delta}^r, E, u)$ may be represented as a $[V,{\lambda}, f, p]_1({\Delta}^r, E, u)$ space. These are generalizations of those defined and studied by M. Et., Y. Altin and H. Altinok [7].

Genetic Study on the Resistance of Blast Disease in the Rice Variety Tongil (II) (수도 통일품종의 도열병저항성에 관한 유전학적 연구(II))

  • Kwon Shin Han;Oh Jeung Haing
    • Korean journal of applied entomology
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    • v.15 no.4 s.29
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    • pp.163-168
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    • 1976
  • The present study was conducted to determine the number of genes controlling resistance of variety Tongil to three prevalent blast strains and any relationships among the genes in the inheritance of resistance of the variety to blast. Tongil was crossed with five local varieties and the progenies were tested with blast isolates E-7 and 100-14 by injection inoculation method. Results indicated that a tingle dominant gene conditioned resistance of variety Tongil and resistance to the isolate E-7 was controlled by a gene different from that controlling resistance to the isolate 100-14. In previous study it was identified that the gene controlling resistance to the isolate E-7 was different from the gene for resistance to isolate T-1. Therefore based on the foregoing results it may be inferred that the variety Tongil has at least three or more resistant genes to blast.

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Effect of Egg Yolks from Laying Hens Intubated Astaxanthin on the Oxidation of Liver Microsome of Mouse (Astaxanthin처리 산란계로부터 생산된 난황이 Mouse Liver Microsome의 산화에 미치는 영향)

  • 김홍출;박숙자;김정곤;박철우;조용운;조현종;하영래
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.31 no.1
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    • pp.155-159
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    • 2002
  • Effect of the egg yolky from laying hens intubated, p.o., astaxanthin (designated AEY) on the oxidation of mouse liver microtome was investigated using female ICR mouse (6~7 weeks of age). Mice were adapted in a temperature- and humidity-controlled house for one week and randomly divided into 7 treatment groups (10 mice/cage/treatment). Mice were intubated p.o., AEY (50, 100 and 150 mg) or control egg yolk (CEY, 150 mg) every week for 3 weeks. BHT (5 mg) and e -tocopherol (50 mg) were fed to mice as positive control. At week 4, the liver microsome was prepared from sacrificed mice. Protein content of mouse liver microsome with AEY treatment was relatively higher than that with CEY treatment. AEY treatment remarkably lowered the content of unsaturated fatty acids including oleic acid and linoleic acid, but raised that of the saturated fatty acids including stearic acid. AEY group showed relatively higher antioxidative activity than CEY, when used Asc/F $e^{+2}$ or NADPH/F $e^{+2}$ as oxidant. Antioxidative activity of AEY was more effective than $\alpha$-tocopherol, but less effective than BHT.

Prevalence of pili and enterotoxins of Escherichia coli associated with diarrhea in preweaning piglets (포유자돈 소장에서 분리된 대장균의 섬모항원과 장내독소 분포양상)

  • Ham, Hee-jin;Cheon, Doo-sung;Chae, Chan-hee
    • Korean Journal of Veterinary Research
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    • v.37 no.4
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    • pp.779-784
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    • 1997
  • A comprehensive study of 132 Escherichia coli isolates from 150 piglets with colibacillosis included detection of heat-labile enterotoxin, heat-stable enterotoxin, and identification of K88 (F4), K99 (F5), 987P (F6), and F41. Four pili were examined by haemagglutination and slide agglutination test. Heat-labile(LT) and heat-stable(ST) enterotoxin was determined by reverse passive latex agglutination and precipitation test, respectively. Among 132 E coli isolates, 26 had K88 (19.7%), 16 had K99 (12.1%), 3 had 987P (2.3%), and 2 had F41 (1.5%). Three had K88 and K99 (2.3%), 3 had K88 and 987P (2.3%), 2 had K99 and 987P (1.5%), 5 had K99 and F41 (3.8%), and 8 E coli strains had K88, K99 and F41 (6.1%) simultaneously. Among 132 E coli isolates, 5 produced LT only (3.8%), 55 produced heat-stable toxin ST only (41.7%), and 4 produced both LT and ST (3.0%). Three major pathotypes accounted for 27.9% of E coli isolates: $K99^+$ (8.3%), $K88^+ST^+$ (9%) and $K88^+$ (10.6%). Results of this study indicated that piliated enterotoxin-producing E coli was prevalent and was associated with diarrhea in preweaning piglets.

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Isolation and Identification of Sesquiterpene o-Naphthoquinones, Mansonones E, F and H, from the Root Bark of Ulmus davidiana Planch (당느릅나무로부터 Sesquiterpene o-Naphthoquinone류 화합물, Mansonone E, F 및 H의 분리와 구조결정)

  • Kim, Jong-Pyung;Kim, Won-Gon;Koshino, Hiroyuki;Park, Jong-Hee;Jung, Jin;Yoo, Ick-Dong
    • Applied Biological Chemistry
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    • v.39 no.1
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    • pp.89-94
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    • 1996
  • Three sesquiterpene ortho-naphthoquinones were isolated from the methanolic extract of root bark of Ulmus davidiana Planch whose stem and root bark have been used as an oriental medicine for the treatment of edema, mastitis, gastric cancer and inflammation. The structures of these compounds were established on the basis of spectral data obtained from UV-vis, IR, HR-EIMS and NMR spectrometry, including the pulse field gradient (PFG)-HMQC and HMBC techniques. Their structures were determined as 2,3-dihydro-3,6,9-trimethylnaphtho(1,8-b,c)pyran-7,8-dione, 3,6,9-trimethylnaphtho(1,8-b,c)pyran-7,8-dione and 2,3-dihydro-4-hedroxy-3,6, 9-trimethylnaphtho(1,8-b,c)pyran-7,8-dione, which were identified as mansonones E. F and H, respectively. These compounds have originally been isolated from Mansonia altissima Chev, but have never been isolated from Ulmus davidiana Planch. Especially, mansonone H was isolated for the first time from Ulmaceae. The mismatched carbon chemical shifts of mansonones E and F in the reported literature were corrected by the aid of the PFG-HMBC spectral data.

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