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NONCONSTANT WARPING FUNCTIONS ON EINSTEIN WARPED PRODUCT MANIFOLDS WITH 2-DIMENSIONAL BASE

  • Lee, Soo-Young
    • Korean Journal of Mathematics
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    • v.26 no.1
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    • pp.75-85
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    • 2018
  • In this paper, we study nonconstant warping functions on an Einstein warped product manifold $M=B{\times}_{f^2}F$ with a warped product metric $g=g_B+f(t)^2g_F$. And we consider a 2-dimensional base manifold B with a metric $g_B=dt^2+(f^{\prime}(t))^2du^2$. As a result, we prove the following: if M is an Einstein warped product manifold with a 2-dimensional base, then there exist generally nonconstant warping functions f(t).

Cloning and Sequence Analysis of the trpB, trpA and 3' trpC(F) Gens of Vibrio metschnikovii Strain RH530 (Vibrio metschnikovii 균주 RH530의 trpB, trpA 그리고 3' trpC(F) 유전자의 클로닝 및 염기서열 결정)

  • Kwon, Yong-Tae;Kim, Jin-Oh;Yoo, Young-Dong;Rho, Hyune-Mo
    • Korean Journal of Microbiology
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    • v.32 no.2
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    • pp.120-125
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    • 1994
  • The genes, trpB, trpA and 3’ trpC(F) of Vibrio metschnikovii strain RH530 were cloned and sequenced. The trpB and trpA genes had open reading frames of 1,173 bp and 804 bp encoding 391 and 268 amino acids, respectively. The trpB and trpA genes had conventional ribosome-binding sequences and overlapped with each other by one nucleotide, suggesting that these two genes are translationally coupled. 115 nucleotide upstream the trpB start codon, tjere was an incomplete open reading frame of the 3’-end of the trpC(F). The amino acid sequences of trpB, trpA and trpC(F) of V. metschnikovii RH530 had identities of 64.2%, 82.4% and 73.7% respectively, for those of V. parahaemolyticus; 58.7%, 72.3% and 54.9%, respectively, for Salmonella typhimurium; and 42.6%. 54.1% and 12.5%, respectively, for brevibacterium lactofermentum. The genetic organization of these genes, especially in the noncoding region between trpC(F) and trpB, was distinct from that of Enterobacteriaceae.

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Identification and Tolerance-Test to Digestive Fluids of Lactobacilli Isolated from Korean Liquid Yogurts (국내 액상발효유에서 분리한 유산균의 동정 및 소화관액 내성조사)

  • So, Myeong-Hwan
    • Korean Journal of Food Science and Technology
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    • v.17 no.3
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    • pp.192-196
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    • 1985
  • Eight strains of Lactobacilli(a, b, b', c, d, e, f and g) were isolated from seven Korean liquid-yogurts(A, B, C, D, E, F and G), and identification and tolerance-test to digestive fluids were carried out. Isolate a from yogurt A and isolate a from yogurt E were identified as L. casei, isolate b from yogurt B as L. acidophilus, isolate d from yogurt D as L. bulgaricus, isolate f from yogurt F as L. helveticus, and isolate b' from yogurt B, isolate c from yogurt C and isolate g from yogurt G as L. jugurti, respectively. Isolate f(L. helveticus) and c(L. jugurti) showed high tolerance to artificial gastric juice but didn't to bile acid. Isolate b(L. acidophilus), a(L. casei), and e(L. casei) showed high tolerance to both artificial gastric juice and bile acid, but isolate d(L. bulgaricus), b'(L. jurgurti) and g(L. jugurti) did not.

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Lp FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTION

  • Ahn, Jae Moon
    • Korean Journal of Mathematics
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    • v.7 no.2
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    • pp.183-198
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    • 1999
  • Let $\mathcal{F}(B)$ be the Fresnel class on an abstract Wiener space (B, H, ${\omega}$) which consists of functionals F of the form : $$F(x)={\int}_H\;{\exp}\{i(h,x)^{\sim}\}df(h),\;x{\in}B$$ where $({\cdot}{\cdot})^{\sim}$ is a stochastic inner product between H and B, and $f$ is in $\mathcal{M}(H)$, the space of all complex-valued countably additive Borel measures on H. We introduce the concepts of an $L_p$ analytic Fourier-Feynman transform ($1{\leq}p{\leq}2$) and a convolution product on $\mathcal{F}(B)$ and verify the existence of the $L_p$ analytic Fourier-Feynman transforms for functionls in $\mathcal{F}(B)$. Moreover, we verify that the Fresnel class $\mathcal{F}(B)$ is closed under the $L_p$ analytic Fourier-Feynman transform and the convolution product, respectively. And we investigate some interesting properties for the $n$-repeated $L_p$ analytic Fourier-Feynman transform on $\mathcal{F}(B)$. Finally, we show that several results in [9] come from our results in Section 3.

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A GENERALIZATION OF A RESULT OF CHOA ON ANALYTIC FUNCTIONS WITH HADAMARD GAPS

  • Stevic Stevo
    • Journal of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.579-591
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    • 2006
  • In this paper we obtain a sufficient and necessary condition for an analytic function f on the unit ball B with Hadamard gaps, that is, for $f(z)\;=\;{\sum}^{\infty}_{k=1}\;P_{nk}(z)$ (the homogeneous polynomial expansion of f) satisfying $n_{k+1}/n_{k}{\ge}{\lambda}>1$ for all $k\;{\in}\;N$, to belong to the weighted Bergman space $$A^p_{\alpha}(B)\;=\;\{f{\mid}{\int}_{B}{\mid}f(z){\mid}^{p}(1-{\mid}z{\mid}^2)^{\alpha}dV(z) < {\infty},\;f{\in}H(B)\}$$. We find a growth estimate for the integral mean $$\({\int}_{{\partial}B}{\mid}f(r{\zeta}){\mid}^pd{\sigma}({\zeta})\)^{1/p}$$, and an estimate for the point evaluations in this class of functions. Similar results on the mixed norm space $H_{p,q,{\alpha}$(B) and weighted Bergman space on polydisc $A^p_{^{\to}_{\alpha}}(U^n)$ are also given.

Toxicity and Fumonisin B1 Production by Fusarium Isolates from Chines Corn Samples (중국산 옥수수로부터 분리한 Fusarium균주의 독성 및 Fumonisin B1의 생성)

  • 이인원;강효중
    • Korean Journal Plant Pathology
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    • v.10 no.2
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    • pp.129-135
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    • 1994
  • Ninety-two isolates of Fusarium species were obtained from Chinese corn samples. The predominant Fusarium species isolated from corn seeds were F. moniliforme, F. proliferatum, F. oxysporum and F. subglutinans, and all 13 species were identified. Each isolate was grown on autoclaved wheat grains and wheat cultures were fed by twenty-one-day-old female rats for the toxicity test. Twenty-six out of 92 isolates caused the death accompanying feed refusal, severe weight loss, liver damage, and hemorrhages in the stomach and intestines. Of the toxigenic isolates, 17 isolates of F. moniliforme, 4 of F. oxysporum, 3 of F. proliferatum, and one of each F. sporotrichioides and unknown species were lethal to rats. The analyses of fumonisin B1 production of the 26 toxigenic Fusarium isolates were carried out by thin layer chromatography and high-performance liquid chromatography, and fumonisin B1 was confirmed by mass spectrometry. Fumonisin B1 was produced in wheat culture at levels ranging from 280 $\mu\textrm{g}$/g to 3,952 $\mu\textrm{g}$/g by all of toxigenic F. moniliforme and F. proliferatum, but by none of the other toxigenic Fusarium species. The present results suggest the high possibility of natural occurrence of fumonisin B1 in corn samples imported from China.

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b-GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS IN PRIME RINGS

  • Dhara, Basudeb
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.573-586
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    • 2018
  • Let R be a noncommutative prime ring of characteristic different from 2, Q be its maximal right ring of quotients and C be its extended centroid. Suppose that $f(x_1,{\ldots},x_n)$ be a noncentral multilinear polynomial over $C,b{\in}Q,F$ a b-generalized derivation of R and d is a nonzero derivation of R such that d([F(f(r)), f(r)]) = 0 for all $r=(r_1,{\ldots},r_n){\in}R^n$. Then one of the following holds: (1) there exists ${\lambda}{\in}C$ such that $F(x)={\lambda}x$ for all $x{\in}R$; (2) there exist ${\lambda}{\in}C$ and $p{\in}Q$ such that $F(x)={\lambda}x+px+xp$ for all $x{\in}R$ with $f(x_1,{\ldots},x_n)^2$ is central valued in R.

Effects of Dokhwalkisaeng-tang on Melanin Synthesis Inhibition and Gene Expression in B16F10 Melanoma Cells (독활기생탕(獨活寄生湯)이 멜라닌 생성억제 및 유전자 발현에 미치는 영향)

  • Oh, Won-Kyo;Kim, Ki-Byoung;Lim, Jin-Young;Lee, Su-Kyung;Kwon, Young-Dal;Yeom, Seung-Ryong;Song, Yung-Sun
    • Journal of Physiology & Pathology in Korean Medicine
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    • v.23 no.1
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    • pp.63-75
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    • 2009
  • The aim of this study was to elucidate the antimelanogenic effect of Dokhwalkisaeng-tang(Duohujisheng-tang) in B16F10 melanoma cells. Dokhwalkisaeng-tang(DKT) was used to develop the effective prescription of inhibition of melanin production. We determined inhibitory effects of DKT on melanin-release, melanin production, and tyrosinase activity in B16F10 melanoma cells. And to explicate the action-mechanism of DKT, melanin-related gene expressions were determined using RT-PCR and real time RT PCR technique in B16F10 melanoma cells. DKT inhibited melanin-release, melanin production in B16F10 melanoma cells considerably. DKT inhibited tyrosinase activity in vitro and in B16F10 melanoma cells. DKT inhibited the expression of tyrosinase, TRP-1, TRP-2 in B16F10 melanoma cells. DKT inhibited the expression of PKA, PKC, MMP-2 and MITF in B16F10 melanoma cells. On the other hand, DKT increased the expression of ERK-1, ERK-2, AKT-1 in B16F10 melanoma cells. From these results, we propose that DKT may have effect on the antimelanogenesis.

Basic and Creepy Characteristics of High Performance Concrete Complexly Using Blast Furnace Slag Powder and Fly ash (고로슬래그 미분말 및 플라이애시를 복합사용한 고성능 콘크리트의 기초 및 크리프 특성)

  • Park, Byung-Kwan;Pei, Chang-Chun;Kim, Soo-Yung;Kim, Bok-Kyu;Han, Min-Cheol;Han, Cheon-Goo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.11a
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    • pp.717-720
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    • 2008
  • This study analyzed the basic characteristics and the characteristic of drying shrinkage and creep of high performance concrete complexly metathesized by BS and FA and the results are summarized as the followings. Regarding to the compressive strengths according to the passage of aging, OPC was appeared to be larger than B2F1 at the initial aging but B2F1 was appeared to be higher than OPC at aging 28days. Regarding to the changing rate of drying shrinkage according to the passage of aging, both OPC and B2F1 were appeared to be increased and, at aging 60days, B2F1 was appeared to be largely increased by about 42% as -21${\times}$10-6 및 -51${\times}$10-6 as compared to OPC. The transforming rate of creep was appeared to have been largely increased at the initial aging and then be smoothly increased somewhat as the aging was passed. And regardign to the transforming rate of creep after 60 days had been passed, B2F1 was appeared to be largely increased by about 13% as compared to OPC.

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The Effect of Yukmijihwangtang -gagambang (YMG) on Melanin Synthesis and Gene Expression (육미지황탕가감방(六味地黃湯加減方)이 멜라닌 생성 및 유전자발현에 미치는 영향)

  • Kim, Jin-Kyung;Yoo, Dong-Youl
    • The Journal of Korean Obstetrics and Gynecology
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    • v.22 no.3
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    • pp.66-82
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    • 2009
  • Purpose: This study was performed to elucidate the inhibitory effect of Yukmijihwangtang-gagambang (YMG) on melanin synthesis in B16F10 mouse melanoma cell. Methods: To demonstrate the inhibitory effects of YMG on melanin synthesis, we measured the amount of released and produced melanin in B16F10 melanoma cell. Also, we evaluated tyrosinase-activity in vitro as well as in B16F10 melanoma cell. And to investigate the action mechanism we assessed the gene expressions of tyrosinase, TRP-1, TRP-2, MMP-2, PKA, PKC${\beta}$, ERK-1 ERK-2, AKT-1 and MITF in B16F10 melanoma cells. Results: 1. YMG decreased the release and production of melanin in B16F10 melanoma cells. 2. YMG decreased tyrosinase activity in vitro and in B16F10 melanoma cells. 3. YMG decreased the expression of tyrosinase, TRP-1, TRP-2, PKA, PKC${\beta}$ and MMP-2 in B16F10 melanoma cells. 4. YMG increased the expression of ERK-1, ERK-2, and AKT-1 in B16F10 melanoma cells. 5. YMG decreased the expression of MITF in B16F10 melanoma cells. Conclusion: From these results, we suggest that YMG inhibit melanin synthesis via tyrosinase inhibition and regulation of the gene expression in B16F10 melanoma cells.