• Title/Summary/Keyword: k-gamma function

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Studies on the Application of Weibull Distribution to Forestry (II) - Estimation of Parameter by Gamma Function - (Weibull 분포(分布)를 응용(應用)한 임학연구(林學硏究)(II) - Gamma함수(函數)에 의한 parameter의 추정(推定) -)

  • Yun, Jong Wha
    • Journal of Korean Society of Forest Science
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    • v.61 no.1
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    • pp.1-7
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    • 1983
  • In the estimation of diameter distribution in a stand using Weibull distribution function, the calculation method of experimental distribution was presented in previous paper. This study was to estimate the diameter distribution of Korean pine stands by Weibull distribution which represents Gamma function, with mean diameter and mean basal-area diameter of the random sample trees. The results obtained fitted the diameter distribution in experimental stands. Thus, this method appears to be used for the estimation of diameter distribution in a stand as well as for the analysis and prediction of stand construction for the future.

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Integral constants of Transformed geometric Poisson process

  • Park, Jeong-Hyun
    • Journal of the Korean Data and Information Science Society
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    • v.9 no.2
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    • pp.305-310
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    • 1998
  • In this paper, we introduce the conditions that the P-process has the intensity function which it is a standard form of gamma distribution. And we show that the transformed geometric Poisson process which the intensity function is a standard form of gamma distribution is a alternative sign P-process

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The Efficacy of Interferon(IFN)-${\gamma}$ in Idiopathic Pulmonary Fibrosis (특발성 폐섬유화증에서 Interferon-${\gamma}$의 효과)

  • Park, Joo Hun;Oh, Yeon Mok;Shim, Tae Sun;Lim, Chae-Man;Koh, Younsuck;Lee, Sang-Do;Kim, Woo Sung;Kim, Won Dong;Kim, Dong Soon
    • Tuberculosis and Respiratory Diseases
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    • v.56 no.6
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    • pp.611-618
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    • 2004
  • Background : Idiopathic pulmonary fibrosis(IPF), a subtype of IIP(idiopathic interstitial pneumonia), is a fatal disease with a 3-5 year median survival. Many attempts at treating this condition have failed to demonstrate a survival benefit in IPF. Recently Ziesche et $al^{12}$ reported the efficacy of IFN-${\gamma}$ for treating IPF but there is still some controversy. The aim of this study was to determine the efficacy of IFN-${\gamma}$ in patients with advanced IPF who had not been responsive to steroid and cytotoxic agents. Method : Nine patients with advanced IPF(age: $55.4{\pm}15.3$ years, Male: Female=8:1) were enrolled. One year treatment regime with 2 million IU of IFN-${\gamma}$ administered subcutaneously three times a week, and low dose prednisolone(10-30 mg/d) was also used. In the case of a definite aggravation and serious side effects, the IFN-${\gamma}$ was discontinued. During the IFN-${\gamma}$ trial, a pulmonary function test and chest radiography were checked every three month throughout the study. Result : 1) Among 9 patients, only 4 patients were able to complete the 12 month treatment with IFN-${\gamma}$, and 5 patients died during the treatment period. 2) No improvement either in the respiratory symptoms or pulmonary functions were observed any of the patients, even in those who completed the 12 months trial of IFN-${\gamma}$, 3) At the time of IFN-${\gamma}$ trial, the survivors who finished the IFN-${\gamma}$ treatment for 12 months had a higher oxygen level($81.3{\pm}2.8$ vs. $67.4{\pm}8.4$, P=0.024) and a better pulmonary function(FVC: $61.3{\pm}5.1$ % predicted vs. $45.7{\pm}12.3%$, P=0.048, and $D_Lco$: $45.0{\pm}5.0%$ predicted vs. $30.8{\pm}11.2%$, P=0.048) than the non-survivors. Conclusion : Our data suggested that IFN-${\gamma}$ therapy was not effective in the patients with advanced IPF refractory compared with other therapeutic agents. Furthermore, these results suggest that severe impairment of the pulmonary function and hypoxemia during the IFN-${\gamma}$ therapy requires special attention.

Analysis on the Relations of Droplet Size Distribution and Optical Depth in Water Curtain (워터커튼에서 액적의 크기 분포와 광학 두께의 상관관계 분석)

  • You, Woo Jun;Ryou, Hong-Sun
    • Fire Science and Engineering
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    • v.30 no.2
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    • pp.62-67
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    • 2016
  • In this study, the optical depth is analyzed with the effects of droplet size distribution of the water curtain nozzle to attenuate the radiative heat transfer. The HELOS/VARIO equipment is used for the measurement of the droplet size distributions. The spray characteristics are quantified by the investigation of Deirmenjian's modified gamma distribution function. The distribution constant of the nozzle can be obtained as ${\alpha}=1$ and ${\gamma}=5.2$. The generalized equation of the optical depth related with the droplet size distribution is introduced. These results will be applicable to the analysis of the design condition of the water curtain nozzle.

MONOTONICITY PROPERTIES OF THE GENERALIZED STRUVE FUNCTIONS

  • Ali, Rosihan M.;Mondal, Saiful R.;Nisar, Kottakkaran S.
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.575-598
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    • 2017
  • This paper introduces and studies a generalization of the classical Struve function of order p given by $$_aS_{p,c}(x):=\sum\limits_{k=0}^{\infty}\frac{(-c)^k}{{\Gamma}(ak+p+\frac{3}{2}){\Gamma}(k+\frac{3}{2})}(\frac{x}{2})^{2k+p+1}$$. Representation formulae are derived for $_aS_{p,c}$. Further the function $_aS_{p,c}$ is shown to be a solution of an (a + 1)-order differential equation. Monotonicity and log-convexity properties for the generalized Struve function $_aS_{p,c}$ are investigated, particulary for the case c = -1. As a consequence, $Tur{\acute{a}}n$-type inequalities are established. For a = 2 and c = -1, dominant and subordinant functions are obtained for the Struve function $_2S_{p,-1}$.

Ion-induced secondary electron emission coefficient and work function for MgO thin film with $O_2$ plasma treatment

  • Jung, J.C.;Jeong, H.S.;Lee, J.H.;Oh, J.S.;Park, W.B.;Lim, J.Y.;Cho, J.W.;Choi, E.H.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2004.08a
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    • pp.525-528
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    • 2004
  • The ion-induced secondary electron emission coefficient ${\gamma}$ and work function for MgO thin film with $O_2$ plasma treatment has been investigated by ${\gamma}$ -FIB (focused ion beam) system. The MgO thin film deposited from sintered material with $O_2$ plasma treatment is found to have higher ${\gamma}$ and lower work function than those without $O_2$ plasma treatment. The energy of various ions used has been ranged from 100eV to 200eV throughout this experiment. It is found that the highest secondary electron emission coefficient ${\gamma}$ has been achieved for 10 minutes of $O_2$ plasma treatment under RF power of 50W.

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BER Analysis of Coherent Free Space Optical Systems with BPSK over Gamma-Gamma Channels

  • Lim, Wansu
    • Journal of the Optical Society of Korea
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    • v.19 no.3
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    • pp.237-240
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    • 2015
  • We derived the average bit error rate (BER) of coherent free-space optical (FSO) systems with digital binary phase shift keying (BPSK) modulations over atmospheric turbulence channels with a gamma-gamma distribution. To obtain a generalized derivation in a closed-form expression, we used special integrals and transformations of the Meijer G function. Furthermore, we numerically analyzed and simulated the average BER behavior according to the average SNR for different turbulence strengths. Simulation results are demonstrated to confirm the analytical results.

Enhanced macrophage function of red ginseng acidic polysaccharide(RGAP) in combination with IFN-$\gamma$

  • Choi, Hye-Sook;Kwak, Yi-Seong;Park, Jong-Dae;Pyo, Suhk-Neung
    • Proceedings of the Ginseng society Conference
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    • 2006.05a
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    • pp.83-88
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    • 2006
  • In this study we examined the potential for the synergistic augmentation of the activity of inflammatory mouse peritoneal macrophages by stimulation with RGAP combined with IFN-$\gamma$. The moderate augmentative effect induced by preincubation with RGAP was observed in the production of IL-1, IL-6 and NO but not TNF-$\alpha$. In addition, IFN-$\gamma$ had a low activating effect. Following preincubation with both RGAP A and IFN-$\gamma$, a marked enhancement of secretory activity and tumoricidal activity was noted in mouse peritoneal macrophages. Treatment of peritoneal macrophage with combination increased the generation of IL-1, IL-6, TNF-$\alpha$ and NO, whereas the production of reactive oxygen species were not altered. These results demonstrate the synergistic effects on macrophage function of RGAP in combination with IFN-$\gamma$ and suggest that the ability of IFN-$\gamma$ to prime macrophages to produce secretory molecules in response to RGAP may have implications for immunotherapy with this combination.

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ROMAN k-DOMINATION IN GRAPHS

  • Kammerling, Karsten;Volkmann, Lutz
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1309-1318
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    • 2009
  • Let k be a positive integer, and let G be a simple graph with vertex set V (G). A Roman k-dominating function on G is a function f : V (G) $\rightarrow$ {0, 1, 2} such that every vertex u for which f(u) = 0 is adjacent to at least k vertices $\upsilon_1,\;\upsilon_2,\;{\ldots},\;\upsilon_k$ with $f(\upsilon_i)$ = 2 for i = 1, 2, $\ldot$, k. The weight of a Roman k-dominating function is the value f(V (G)) = $\sum_{u{\in}v(G)}$ f(u). The minimum weight of a Roman k-dominating function on a graph G is called the Roman k-domination number ${\gamma}_{kR}$(G) of G. Note that the Roman 1-domination number $\gamma_{1R}$(G) is the usual Roman domination number $\gamma_R$(G). In this paper, we investigate the properties of the Roman k-domination number. Some of our results extend these one given by Cockayne, Dreyer Jr., S. M. Hedetniemi, and S. T. Hedetniemi [2] in 2004 for the Roman domination number.

THE ARCHES CLUSTER MASS FUNCTION

  • Kim, Sung-Soo S.;Figer, Donald F.;Kudritzki, Rolf P.;Naharro, F.
    • Journal of The Korean Astronomical Society
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    • v.40 no.4
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    • pp.153-155
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    • 2007
  • We have analyzed H and $K_s$-band images of the Arches cluster obtained using the NIRC2 instrument on Keck with the laser guide star adaptive optics (LGS AO) system. With the help of the LGS AO system, we were able to obtain the deepest ever photometry for this cluster and its neighborhood, and derive the background-subtracted present-day mass function (PDMF) down to $1.3M_{\bigodot}$ for the 5"-9" annulus of the cluster. We find that the previously reported turnover at $6M_{\bigodot}$ is simply due to a local bump in the mass function (MF), and that the MF continues to increase down to our 50 % completeness limit ($1.3M_{\bigodot}$) with a power-law exponent of ${\Gamma}$ = -0.91 for the mass range of 1.3 < M/$M_{\bigodot}$ < 50. Our numerical calculations for the evolution of the Arches cluster show that the ${\Gamma}$ values for our annulus increase by 0.1-0.2 during the lifetime of the cluster, and thus suggest that the Arches cluster initially had ${\Gamma}$ of $-1.0{\sim}-1.1$, which is only slightly shallower than the Salpeter value.