• Title/Summary/Keyword: ${\delta}$

Search Result 8,940, Processing Time 0.041 seconds

EXISTENCE OF NONTRIVIAL SOLUTIONS OF THE NONLINEAR BIHARMONIC SYSTEM

  • Jung, Tacksun;Choi, Q.-Heung
    • Korean Journal of Mathematics
    • /
    • v.16 no.2
    • /
    • pp.135-143
    • /
    • 2008
  • We investigate the existence of nontrivial solutions of the nonlinear biharmonic system with Dirichlet boundary condition $$(0.1)\;\begin{array}{lcr}{\Delta}^2{\xi}+c{\Delta}{\xi}={\mu}h({\xi}+{\eta})\;in{\Omega},\\{\Delta}^2{\eta}+c{\Delta}{\eta}={\nu}h({\xi}+{\eta})\;in{\Omega},\end{array}$$ where $c{\in}R$ and ${\Delta}^2$ denote the biharmonic operator.

  • PDF

ANALYTIC TORSION FOR HOLOMORPHIC VECTOR BUNDLES

  • Kim, Hong-Jong
    • Communications of the Korean Mathematical Society
    • /
    • v.9 no.3
    • /
    • pp.669-670
    • /
    • 1994
  • Let $E \to M$ be a hermitian holomorphic vector bundle over a compact (complex) hermitian manifold M of complex dimension n, and let $$ d"_p(E) : 0 \to A^{p,0}(E) \to A^{p,1}(E) \to \cdots \to A^{p,n}(E) \to 0$$ be the Dolbeault complex. Then $A^{p,q}(E)$ become a prehibert space so that the formal adjoint $\delta"$ of $d"$ and the "Laplacian" $\Delta" = \delta" d" + d" \delta"$ are defined.quot; d" + d" \delta"$ are defined.;$ are defined.

  • PDF

Intuitionistic Fuzzy δ-continuous Functions

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
    • /
    • v.13 no.4
    • /
    • pp.336-344
    • /
    • 2013
  • In this paper, we characterize the intuitionistic fuzzy ${\delta}$-continuous, intuitionistic fuzzy weakly ${\delta}$-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly ${\theta}$-continuous functions in terms of intuitionistic fuzzy ${\delta}$-closure and interior or ${\theta}$-closure and interior.

THE CONVERGENCE OF δ-FILTERS

  • Lee, Seung On;Oh, Ji Hyun;Yun, Sang Min
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.24 no.1
    • /
    • pp.35-43
    • /
    • 2011
  • In this paper we define the convergence of ${\delta}$-filters and study them. We show that ${\delta}$-filters on a Hausdorff space X converge at most one point in X. We also show that in a P-space X, ${\delta}$-filters on X converge at most one point in X if and only if X is a Hausdorff space.

Digital Autopilot Design Using $\delta$-Transformation ($\delta$변환에 의한 디지탈 자동조종 장치 설계)

  • 이명의;민종진;권오규
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1989.10a
    • /
    • pp.82-86
    • /
    • 1989
  • In this paper, digital autopilot design methods are investigated and a new method is suggested in order to improve existing problems. The method is based on .delta. transform (1) and overcome numerical problems occurring in the process of discretization. We illustrate design procedures using .delta. transform and suggest a hardware and software structure for digital autopilot implemented by microprocessor.

  • PDF

Measurement of δ-Aminolevulinic Acid in Urine by Fluorometric HPLC and Colorimetric Methods (비색법과 HPLC 법에 의한 요중 δ-Aminolevulinic acid의 측정치 비교)

  • Ahn, Kyu-Dong;Yeon, You-Yong;Lee, Byung-Kook
    • Journal of Korean Society of Occupational and Environmental Hygiene
    • /
    • v.4 no.1
    • /
    • pp.17-24
    • /
    • 1994
  • The urinary excretion of ${\delta}$-aminolevulinic acid has been widely used as a measure of the biological effect of lead in lead exposed workers. It is usually measured by colorimetric method based on the color reaction of ALA-pyrrole with Ehrlich's reagent. But the results of ${\delta}$-ALA in urine by this method are somewhat artificially higher than expected due to the urinary ALA-like compound such as aminoacetone. On the other hand, the recently developed fluorometric HPLC method is very sensitive and specific for the measuring urinary ALA. In order to compare the data obtained by two methods and to investigate the interrelation between two methods, 117 lead workers with different lead exposure were checked urinary ${\delta}$-ALA, blood lead and other lead exposure related indices. The results obtained are as follows; 1. Urinary excretion of ${\delta}$-ALA by colorimetric method is 2.15 times higher than HPLC method in overall, revealing 2.47 times in workers of blood lead less than $20{\mu}g/dl$, 2.53 times in workers of blood lead $21-40{\mu}g/dl$ and 1.86 times in workers of blood lead over $41{\mu}g/dl$, respectively. 2. While the correlation coefficients of ${\delta}$-ALA measured by colorimetric method with blood lead and blood ZPP was 0.571 and 0.629, those of ${\delta}$-ALA measured by HPLC with blood lead and blood ZPP were 0.6l0 and 0.637. All the correlation coefficients were statistically significant, but there was no statistical difference of correlation coefficients between two methods. 3. The correlation coefficient of urinary excretion of ${\delta}$-ALA between two method was 0.838 without any correction, but it was 0.852 with the correction of specific gravity 1.024. 4. Simple linear regression of ${\delta}$-ALA measured by HPLC method on ${\delta}$-ALA measured by colorimetric method was (ALA-UPH)=-0.245+0.536 (ALA-UCO) without any correction and it was (SP ALA)=-0.525+0.598 (SP ALA-UCO) with the correction of specific gravity 1.024. With above results, it is recommended that the diagnostic criteria of ${\delta}$-ALA for lead poisoning needed to be revised if ${\delta}$-ALA is measured by HPLC rather than colorimetric method.

  • PDF

${\gamma}{\delta}$ T Cells in the Peripheral Blood of Pulmonary Tuberculosis (폐결핵환자의 말초혈액에서의 ${\gamma}{\delta}$ T 림프구에 관한 연구)

  • Shim, Tae-Sun;Yoo, Chul-Gyu;Kim, Young-Whan;Han, Sung-Koo;Shim, Young-Soo;Kim, Keun-Youl;Han, Yong-Chol
    • Tuberculosis and Respiratory Diseases
    • /
    • v.41 no.3
    • /
    • pp.239-247
    • /
    • 1994
  • Background: T cell mediated immunity is important in the defense mechanism of tuberculosis. Since ${\gamma}{\delta}$ T cell receptor was found to react with 65 kD heat shock protein of M.tuberculosis, there have been some reports on the role of ${\gamma}{\delta}$ T cells in the defense against M.tuberculosis. But until now, the role of the ${\gamma}{\delta}$ T cells in tuberculosis is not clear. Methods: We therefore measured the percentage of ${\gamma}{\delta}$ T cells of peripheral blood by flowcytometry before and after stimulation with Con-A, PPD and H37Ra lysate and compared between tuberculosis patients and healthy controls. Results: ${\gamma}{\delta}$ T cells of pheripheral blood in pulmonary tuberculosis patients was $7.5{\pm}5.2%$, showing no difference compared with healthy control($10.0{\pm}4.8%$). But IL-2R(+) ${\gamma}{\delta}$ T cells were higher in tuberculosis compared with healthy control($4.8{\pm}5.1%$ vs. $1.8{\pm}2.8%$). After stimulation with PPD or Con-A, the percentage of ${\gamma}{\delta}$ T cells showed no significant change, but IL-2R(+) ${\gamma}{\delta}$ T cells increased significantly in both tuberculosis($17.9{\pm}13.4%,\;57.6{\pm}20.2%$ respectively) and healthy control group($11.5{\pm}9.1%,\;80.8{\pm}9.3%$). After stimulation with H37Ra lysate, percentage of ${\gamma}{\delta}$ T cells showed increasing tendency in healthy control group, but it was not statistically significant. Conclusion: In this study, we could not demonstrate the role of ${\gamma}{\delta}$ T cells in the peripheral blood of pulmonary tuberculosis. It is suggested that further studies will be needed in the regional sites of M.tuberculosis infection.

  • PDF