• Title/Summary/Keyword: F%26B

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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).

ESTIMATES FOR A CERTAIN SUBCLASS OF HOLOMORPHIC FUNCTIONS

  • Ornek, Bulent Nafi;Akyel, Tugba
    • The Pure and Applied Mathematics
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    • v.26 no.2
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    • pp.59-73
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    • 2019
  • In this paper, a version of the boundary Schwarz Lemma for the holomorphic function belonging to $\mathcal{N}$(${\alpha}$) is investigated. For the function $f(z)=z+c_2z^2+C_3z^3+{\cdots}$ which is defined in the unit disc where $f(z){\in}\mathcal{N}({\alpha})$, we estimate the modulus of the angular derivative of the function f(z) at the boundary point b with $f(b)={\frac{1}{b}}\int\limits_0^b$ f(t)dt. The sharpness of these inequalities is also proved.

POISSON BRACKETS DETERMINED BY JACOBIANS

  • Ahn, Jaehyun;Oh, Sei-Qwon;Park, Sujin
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.2
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    • pp.357-365
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    • 2013
  • Fix $n-2$ elements $h_1,{\cdots},h_{n-2}$ of the quotient field B of the polynomial algebra $\mathbb{C}[x_1,x_2,{\cdots},x_n]$. It is proved that B is a Poisson algebra with Poisson bracket defined by $\{f,g\}=det(Jac(f,g,h_1,{\cdots},h_{n-2})$ for any $f,g{\in}B$, where det(Jac) is the determinant of a Jacobian matrix.

THE RELATION BETWEEN HENSTOCK INTEGRAL AND HENSTOCK DELTA INTEGRAL ON TIME SCALES

  • Park, Jae Myung;Lee, Deok Ho;Yoon, Ju Han;Kim, Young Kuk;Lim, Jong Tae
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.3
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    • pp.625-630
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    • 2013
  • In this paper, we define an extension $f^*:[a,b]{\rightarrow}\mathbb{R}$ of a function $f^*:[a,b]_{\mathbb{T}}{\rightarrow}\mathbb{R}$ for a time scale $\mathbb{T}$ and show that $f$ is Henstock delta integrable on $[a,b]_{\mathbb{T}}$ if and only if $f^*$ is Henstock integrable on $[a, b]$.

A Study on the Variation of the Body surface Area by the Arm movements to Somatotype -The Subject of the College Men- (체형별 상복동작에 따른 상체의 체표면 변화에 관한 연구 -남자대학생을 중심으로-)

  • 김진경
    • Journal of the Korean Home Economics Association
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    • v.26 no.2
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    • pp.1-13
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    • 1988
  • The purpose of this study was to classify somatotype of males, to show changes of the body skin surface by the somatotype. The size of sample was 156 males between age 20 and 24. Somatotype classified into Bending somatotype, Standard somatotype, Turning over somatotype. And according to the somatotype, changing of the upper part of the body by the arm movements analyzed through gypsum experiment. The result obtained from this study were as follows; 1. the variation of the upper part of the body form by changing the am movements, by the increasing of movements, shoulder-point ws moved to be inside or upside, the anterior armpit point & armpit point were moved to the upside. 2. As a result of investigating into the rate of the expansion and contraction of the basic lines and body surface area by the arm movements, the rate of expansion and contraction of the basic lines by the arm movements, the side sea length showed the maximum rate of extension in 135 degrees, the shoulder length showed the maximum rate of contraction in 135 degrees. The rate of expansion and contraction on the body surface area by the arm movements showed the phenomenon of contraction, of items F1, F6, B1, B9 showed the phenomenon of extension, of items F3, F4, F8, F9, B8, B9. 3. According to somatotypes, items which show the significant difference were, of items f3, f8, b3, b8, F2, F7, F8, B3, B7, in all movements.

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Simulation Anaysis on the Output Characteristics of XeF$(C\rightarrowA$ Excimer Laser Pumped by Electron-Beam (전자빔여기 XeF$(C\rightarrowA$ 엑시머 레이저의 출력특성에 대한 시뮬레이션 해석)

  • 류한용;이주희
    • Korean Journal of Optics and Photonics
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    • v.6 no.3
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    • pp.201-213
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    • 1995
  • By the use of computer simulation including collisional mixing kinetic processes of the B- and C-state in the upper laser level the output characteristics of electron-beam pumped XeF$(C\rightarrowA$ excimer laser are analyzed. We compared the results between experiments and simulations for the $XeF^*(C)$ formation that correlated the number of densities of the $XeF^*(B)$. We obtained good agreement$(28.5 mJ\pm5%)$ with comparisons between experiment and simulation and confirmed the optimal gas mixing ratio of $Xe/F_2/Ar=5.26/0.49/94.28%$ at atmospheric pressure laser medium under the condition of 70 ns [FWHM] electron-beam (800 kV, 21 kA). Also through the simulation we have investigated that the $XeF^*(C)$ formation channel, the $XeF^*(C)$ relaxation channel, and the absorption channel of bluegreen wavelength region as a function of F2 halogen donor and Xe partial pressure. ssure.

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Inhibitory Effects of Methanol Extract of Kaempferia galanga on melanogenesis in B16/F10 Melanoma Cells (B16/F10 흑색종양세포에서 삼내자 메탄올 추출물의 멜라닌 생성에 미치는 억제효과)

  • Yoon, Jung-Won;Han, Jung-Min;Yoon, Hwa-Jung;Ko, Woo-Shin
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.26 no.1
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    • pp.1-18
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    • 2013
  • Objective: Recently the demands for the effective and safe depigmentative and anti-aging agents of the skin have increased due to the medical, pharmaceutical and cosmetic reasons. The purpose of this study is to investigate the MKG(Methanol Extract of Kaempferia galanga) and their dermal bioactivity properties related to cosmeceuticals such as depigmentation. Methods: We assessed inhibitory effects of MKG on melanin production in B16/F10 melanoma cells, on mushroom tyrosinase activity, effects of MKG on the expression tyrosinase, TRP-1, TRP-2, GSK-$3{\beta}$, CREB, MITF in B16/F10 melanoma cells without cytotoxicity range. Cell viability was measured by MTT assay and tyrosinase activity was assessed using by DOPA staining, western-blot analysis. We measured inhibition of melanin synthesis and tyrosinase activity by down-regulation of melanogenic enzyme expressions in ${\alpha}$-MSH induced melanogenesis B16/F10 melanoma cells. Results: MKG inhibited tyrosinase-activity, total melanin contents and dendrite out-growth. MKG inhibited melanogenesis by down-regulation of tyorsinase, TRP-1, TRP-2, CREB, and MITF in B16/F10 cells. The treatment with MKG at the 12.5, $25{\mu}g/ml$ level significantly inhibited the melanin synthesis induced ${\alpha}$-MSH in B16/F10 melanoma cells compared with untreated control. Conclusion: These results suggest that MKG inhibit melanin biosynthesis which is involved in hyper-pigmentation. So MKG is considered to be used as a whitening components reducing cytotoxicity.