• 제목/요약/키워드: a-C:H:F

Search Result 2,577, Processing Time 0.034 seconds

INTEGRAL REPRESENTATIONS FOR SRIVASTAVA'S HYPERGEOMETRIC FUNCTION HC

  • Choi, Junesang;Hasanov, Anvar;Turaev, Mamasali
    • Honam Mathematical Journal
    • /
    • v.34 no.4
    • /
    • pp.473-482
    • /
    • 2012
  • While investigating the Lauricella's list of 14 complete second-order hypergeometric series in three variables, Srivastava noticed the existence of three additional complete triple hypergeo-metric series of the second order, which were denoted by $H_A$, $H_B$ and $H_C$. Each of these three triple hypergeometric functions $H_A$, $H_B$ and $H_C$ has been investigated extensively in many different ways including, for example, in the problem of finding their integral representations of one kind or the other. Here, in this paper, we aim at presenting further integral representations for the Srivatava's triple hypergeometric function $H_C$.

Acid Stress Response of Lactobacillus rhamnosus GG in Commercial Yogurt (발효유제품에서 Lactobacillus rhamnosus GG의 생육 특성)

  • Bang, Miseon;Jeong, Anna;Park, Dong-June;Lim, Kwang-Sei;Oh, Sejong
    • Journal of Dairy Science and Biotechnology
    • /
    • v.33 no.1
    • /
    • pp.83-91
    • /
    • 2015
  • Yogurt is a product of the acidic fermentation of milk, which affects the survival of lactic acid bacteria (LAB). The aim of this present study was to examine the survival and acid stress response of Lactobacillus rhamnosus GG to low pH environment. The survival of LAB in commercial yogurt was measured during long-term storage. The enumeration of viable cells of LAB was determined at 15-day intervals over 52-weeks at $5^{\circ}C$. L. acidophilus, L. casei, and Bifidobacterium spp. showed low viability. However, L. rhamnosus GG exhibited excellent survival throughout the refrigerated storage period. At the end of 52-weeks, L. rhamnosus GG survived 7.0 log10 CFU/mL. $F_0F_1$ ATPase activity in L. rhamnosus GG at pH 4.5 was also evaluated. The ATPase activities of the membranes were higher when exposed at pH 4.5 for 24 h. The survival of L. rhamnosus GG was attributable to the induction in $F_0F_1$ ATPase activity. In addition, the mRNA expression levels of acid stress-inducible genes at low pH were investigated by qRT-PCR. clpC and clpE genes were up-regulated after 1 h, and atpA and dnaK genes were up-regulated after 24 h of incubation at pH 4.5. These genes could enhance the survival of L. rhamnosus GG in the acidic condition. Thus, the modulation of the enzymes or genes to assist the viability of LAB in the low pH environment is thought to be important.

  • PDF

Free Energy of Formation of BaThO3 from E.M.F. Measurement

  • Park, S. H.;H. D. Baek;J. S. Hwang;Park, C. O.
    • The Korean Journal of Ceramics
    • /
    • v.4 no.3
    • /
    • pp.204-206
    • /
    • 1998
  • The Gibbs free energy of formation of $BaThO_3$ from elemental oxides has been measured at temperatures between 853 and 903 K using a $CaF_2$ solid electrolyte galvanic cell. The galvanic cell consisted of Pt, $O_2, CaO+CaF_2 \parallel CaF_2 \parallelBaThO_3+ThO_2+BaF_2, O_2$, Pt EMF gave the standard Gibbs free energy for the reaction $CaF_2+BaThO_3=CaO+BaF_2+ThO_3$ as $\DeltaG^o$,/TEX>=124111.031-117.597 T(J/mol).

  • PDF

ON FUNCTIONS STARLIKE WITH RESPECT TO n-PLY SYMMETRIC, CONJUGATE AND SYMMETRIC CONJUGATE POINTS

  • Malik, Somya;Ravichandran, Vaithiyanathan
    • Communications of the Korean Mathematical Society
    • /
    • v.37 no.4
    • /
    • pp.1025-1039
    • /
    • 2022
  • For given non-negative real numbers 𝛼k with ∑mk=1 𝛼k = 1 and normalized analytic functions fk, k = 1, …, m, defined on the open unit disc, let the functions F and Fn be defined by F(z) := ∑mk=1 𝛼kfk(z), and Fn(z) := n-1n-1j=0 e-2j𝜋i/nF(e2j𝜋i/nz). This paper studies the functions fk satisfying the subordination zf'k(z)/Fn(z) ≺ h(z), where the function h is a convex univalent function with positive real part. We also consider the analogues of the classes of starlike functions with respect to symmetric, conjugate, and symmetric conjugate points. Inclusion and convolution results are proved for these and related classes. Our classes generalize several well-known classes and the connections with the previous works are indicated.

Reaction of Potassium Fluoride with Organic Halogen Compounds. (Part I) Reactions of Potassium Fluoride with Organic Halides, Acids, and Esters in presence of Dimethyl Formamide and their Pyrolytic Decaboxylation in presence of Potassium Fluoride (有機 할로겐 化合物과 弗化加里의 反應 (第1報) 有機 할라이드, 酸 및 에스테르와 弗化加里의 디메칠 호름아마이드 溶媒系反應 및 高溫-脫炭酸-熱分解反應)

  • You Sun Kim
    • Journal of the Korean Chemical Society
    • /
    • v.7 no.3
    • /
    • pp.189-196
    • /
    • 1963
  • Reactions between potassium fluoride with organic halogen-containing carboxylic acids in dimethyl formamide solvent gave a decarboxylation reaction for the case of fluoro carboxylic acids of the type of $CF_3\;COOH,\;C_3F_7COOH,\;and\;C_2F_5COOH,$ whereas an additional partial fluorination together with dimerization reaction occurred for the chlorine containing acids of the type of $CH_2ClCOOH,\;CH_3CHClCOOH, \;CHCl_2COOH\;and\;o-Cl-C_6H_4-COOH.$ The phenyl halides showed no reactivity, but the halides with two electron attracting substituents on the benzene ring gave mainly dimerization reaction. The esters and alcohols gave an usual fluorination reaction. The same reactions in absence of the solvent at the elevated temperature increase the yield of the dimerized product and gave the cyclized product, fluorenone, in case of ο-chlorobenzoic acid. It was found that the fluorination usually precede the decarboxylation reaction by checking the stiochemical sequence of reaction. Catalytic influence of potassium fluoride were discussed and the mechanism of the reaction was considered.

  • PDF

Quality Characteristics of Sliced Raw-fish Washed by Different Methods during Storage (세척방법에 따른 생선회의 저장 중 품질특성)

  • Oh, Seung-Hee;Jung, Yoo-Kyung;Kim, Su-Hyun;Kim, Soon-Dong
    • Food Science and Preservation
    • /
    • v.14 no.6
    • /
    • pp.571-577
    • /
    • 2007
  • Storage characteristics of fresh and thawed sliced raw fish (flounder and rockfish) washed in different solutions (tap water, A; jade water, B; 0.2% chitosan-ascorbate (CA), C; 0.03 ppm ozone water, D; 1.5% vinegar containing jade water, E; 1.5% vinegar and 0.2% CA containing jade water, F) at $10^{\circ}C$ were investigated. Changes in pH and acidity of thawed sliced raw fish (TS) during storage were lower than for fresh sliced raw fish (DS). The total microbial content (log cfu/g) of A stored for 3 days in DS was 6.7 (which represented an increase of 1 log cycle compared with day zero), but was 5.50 in B, 3.23 in C, 4.90 in D, 2.40 in E and 1.77 in F, the latter similar to counts at day zero. The degree of microbial contamination of DS and TS followed the order F > E > D > C > B > A in flounder, and F > E > C > D > B > A in rockfish. In general the hardness and chewiness of TS was less than for DS. While the effect of CA on TS texture was not significant in flounder, the effect showed in rockfish. For DS, the appearance in B, C and D was relatively good, as was freshness. Fishiness of flavor was in the order A > B > F > E > D > C. Overall acceptability of flounder and rockfish treated with C was better than treatment with the other washing agents. For TS the appearance of flounder and rockfish were good in B and C. The freshness of flounder and rockfish were in the order of D > C > B > A > E > F and D > C > B > A > E > F, respectively. Fishiness of the flavor of sliced raw fish was lowest in D, which also provided the best overall acceptability.

Characteristics of TiO2 Thin Films Fabricated by R.E, Magnetron Sputtering (R.F Magnetron Sputtering법으로 제조한 TiO2 박막의 특성)

  • Chu Y. H.;Choi D. K.
    • Korean Journal of Materials Research
    • /
    • v.14 no.11
    • /
    • pp.821-827
    • /
    • 2004
  • Titanium oxide thin films were prepared on Si(100) substrates by R.F. magnetron reactive sputtering at $30\sim200watt$ R.F power range, and annealed at $600^{\circ}C\sim800^{\circ}C$ for 1 hour. The properties of $TiO_2$ thin films were analyzed using x-ray, ${\alpha}-step$, ellipsometer, scanning electron microscopy, and FT-IR spectrometer. Upon in-situ depositions, the initial phase of $TiO_2$ thin film showed non-crystalline phase at R.F. power $30\sim100$ watt. The crosssection of $TiO_2$ thin films were sbserved to be the columnar structure. With the increasing R.F power and annealing temperature, the grain size, crystallinity, refractive index, and void size of titanium oxides showed a tended to increase. The FT-IR transmittance spectra of titanium oxide thin films have the obsorption band of Ti-O bond, Si-O bond, Si-O-Ti bond and O-H bond. With the increase of R.F. power and annealing temperature, these films have the stronger bond structures. It is considered that such a phenomena is due to phase transition and good crystallinity

THE CRYSTAL AND MOLECULAR STRUCTURE OF 3-N-(2,2-DIETHOXY-ETHYL)-2-BENZIMIDAZOLINONE (3-N-(2,2디에토오키시에칠) -2벤즈 이미다즈오리논의 결정 및 분자구조)

  • 안중태;이숙자
    • Korean Journal of Crystallography
    • /
    • v.2 no.2
    • /
    • pp.7-12
    • /
    • 1991
  • C13H1SN203, Mr=250.29, is monoclinic, space group P21/a with a=8.765(4), b=17.679(3), c= 9.238(4) A, b=105.6(3)A, Z=4, V=1378.53 A3, A (Mo Ka)=0.71069 A, F(000)=536, T=299, R=0.080 for 1783 unique observed reflections with I > 1.0 σ(I). The structure was solved by direct methods and relined by cascade diagona! least-squares refinement. The C-H bond lengths and methyl groups were fixed and refined as their ideal geometry. One of two ethoxy groups is more twisted by 1 was compared with another. There is one hydrogen bond in the crystal lattice, N H‥‥0= 2.789A, forming a molecular pair packing along the b-axis.

  • PDF

INTERPOLATION PROBLEMS FOR OPERATORS WITH CORANK IN ALG L

  • Kang, Joo-Ho
    • Honam Mathematical Journal
    • /
    • v.34 no.3
    • /
    • pp.409-422
    • /
    • 2012
  • Let $\mathcal{L}$ be a subspace lattice on a Hilbert space $\mathcal{H}$. And let X and Y be operators acting on a Hilbert space $\mathcal{H}$. Let $sp(x)=\{{\alpha}x\;:\;{\alpha}{\in}\mathcal{C}\}$ $x{\in}\mathcal{H}$. Assume that $\mathcal{H}=\overline{range\;X}{\oplus}sp(h)$ for some $h{\in}\mathcal{H}$ and < $h$, $E^{\bot}Xf$ >= 0 for each $f{\in}\mathcal{H}$ and $E{\in}\mathcal{L}$. Then there exists an operator A in Alg$\mathcal{L}$ such that AX = Y if and only if $sup\{\frac{{\parallel}E^{\bot}Yf{\parallel}}{{\parallel}E^{\bot}Yf{\parallel}}\;:\;f{\in}H,\;E{\in}\mathcal{L}\}$ = K < ${\infty}$. Moreover, if the necessary condition holds, then we may choose an operator A such that AX = Y and ${\parallel}||A{\parallel}=K$.

Synthesis of New Heterocycles Derived from 3-(3-Methyl-1H-indol-2-yl)-3-oxopropanenitrile as Potent Antifungal Agents

  • Gomha, Sobhi M.;Abdel-Aziz, Hatem A.
    • Bulletin of the Korean Chemical Society
    • /
    • v.33 no.9
    • /
    • pp.2985-2990
    • /
    • 2012
  • New thiazoline derivatives 7a-c, and thiophenes 9a-c linked to indole moiety were easily prepared via the reaction of the acrylamide derivative 3 with phenacyl bromides 4a-c, depending on the reaction conditions. In addition, the reaction of compound 3 with hydrazonoyl chlorides 11a-f afforded a series of 1,3,4-thiadiazole derivatives 13a-f. Moreover, coupling of 3-(3-methyl-1H-indol-2-yl)-3-oxopropanenitrile (2) with the diazonium salts of 3-phenyl-5-aminopyrazole 16 or 3-amino-1,2,4-triazole 17 gave the corresponding hydrazones 18 and 19, respectively. Cyclization of the latter hydrazones yielded the corresponding pyrazolo[5,1-c]-1,2,4-triazine and 1,2,4-triazolo[5,1-c]-1,2,4-triazine derivatives 20 and 21, respectively. The structures of the synthesized compounds were assigned on the basis of elemental analysis, IR, $^1H$ NMR and mass spectral data. All the synthesized compounds were tested for in vitro activities against certain strains of fungi such as Aspergillus niger, Aspergillus nodulans, Alternaria alternate. Compounds showed marked inhibition of fungal growth nearly equal to the standards.