• Title/Summary/Keyword: Gamma function

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A Gompertz Model for Software Cost Estimation (Gompertz 소프트웨어 비용 추정 모델)

  • Lee, Sang-Un
    • The KIPS Transactions:PartD
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    • v.15D no.2
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    • pp.207-212
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    • 2008
  • This paper evaluates software cost estimation models, and presents the most suitable model. First, we transformed a relevant model into variables to make in linear. Second, we evaluated model's performance considering how much suitable the cost data of the actual development software was. In the stage of model performance evaluation criteria, we used MMRE which is the relative error concept rather than the absolute error. Existing software cost estimation model follows Weibull, Gamma, and Rayleigh function. In this paper, Gompertz function model is suggested which is a kind of growth curve. Additionally, we verify the compatability of other different growth curves. As a result of evaluation of model's performance, Gompertz function was considered to be the most suitable for the cost estimation model.

Studies on the Correlation between Sodium Chloride Metabolism and Blood Pressure of Koreans (한국사람의 뇨중식염배설량과 혈압과의 상호관계에 관한 연구)

  • Kim, Ku-Ja
    • The Korean Journal of Physiology
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    • v.8 no.2
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    • pp.19-31
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    • 1974
  • In oder to study the correlation between daily urinary output of sodium chloride and blood pressure, twenty four hour urine samples were collected from 224 cases (70 male and 154 female) of healthy Koreans whose age varied from 18 to 70 years old. The volume and concentration of sodium, chloride and potassium and total nitrogen were measured, along with the resting blood pressure. Results obtained are summarized as follows; 1. Daily urinary output was increased as a function of age. However, daily urinary output per unit sulface area was maintained at approximately 800 to 900 $ml/m^2$ in all age groups of male and it increased as a function of age in female groups. There was no significant difference between male and female. 2. The daily urinary sodium concentration was decreased gradually acceding to age in both sexes. Daily excretion of sodium was constant regardless of age in both sexes but especially high in 25-39 year female age group, which was slightly greater in males than in females. 3. The daily urinary chloride concentration was at approximately 250 meq/L in all age groups of male and which decreased as a function of age in females. 4. Hence the daily urinary output of sodium chloride was constant in all age groups of males which increased as a function of age in female groups. However, daily excretion of sodium chloride per unit sulface area was maintained at approximately 11 $gm/m^2$ in males and which increased as a function of age in females. 5. The daily urinary excretion of potassium was constant regardless of age in both sexes. 6. Urinary K/Na ratio was maintained at approximately 0.27 in males and 0.33 in females. 7. The daily urinary output of total nitrogen amount was approximately $8{\sim}10$ gm in males and $7{\sim}9$ gm in females. However, daily urinary output of nitrogen per unit sulface area was constant regardless of age in both sexes. 8. The systolic blood pressure was increased gradually according to the age in both sexes and was higher for males than females under 40 years of age. However, there was no significant difference between both sexes in ages over 40 years. 9. Quantitative comparisons indicated that daily urinary output and sodium chloride excretion are higher while daily potassium output, nitrogen excretion and urinary K/Na ratio are significantly lower among Koreans than a among Occidentals. These findings suggest that average Koreans live on low-protein and high-salt diet throughout their livers. Statistical result obtained may he summarized as follows; 10. The relation between blood pressure and sodium concentration of urine. The correlation between systolic blood pressure and sodium concentration was negatively associated for both sexes and the correlation coefficient was significant for females $({\gamma}_1=-.19<-{\gamma}_{152},\;_{0.05}=-0.159)$ and it was not significant for males $({\gamma}_1=-.19>-{\gamma}_{68},\;_{0.05}=-0.232)$ tut may be due to the sample size for males. The correlation between diastolic blood Pressure and sodium concentration was negatively associated for both sexes and the correlation coefficient was significant for males $({\gamma}_1=-.37<-{\gamma}_{68},\;0.05=-0.232)$ and the relation was not significant for females $({\gamma}_1=-.11>-{\gamma}_{152},\;_{0.05}=-0.159)$. 11. The relation between blood pressure and daily urinary sodium chloride excretion. The association between systolic blood pressure and sodium chloride excretion was positively correlated for both sexes and the relation was significant for females $({\gamma}_1=.20>{\gamma}_{152},\;_{0.05}= 0.159)$ and it was insignificant for males $({\gamma}_1=.09<{\gamma}_{68},\;_{0.05}=0.232)$, The relation between diastolic blood pressure and sodium chloride excretion was positively associated and insignificant for both sexes males $({\gamma}_1=.17<{\gamma}_{68},\;_{0.05}=0.232)$ and females $({\gamma}_1=.09<{\gamma}_{152},\;_{0.05}=0. 159)$. 12. The relation between daily urinary nitrogen excretion and sodium chloride excretion. The association between daily nitrogen excretion and sodium chloride excretion was positively significant for both sexes, males $({\gamma}_1=.31>{\gamma}\;_{68},\;_{0.05}=0.232)$ and females $({\gamma}_1=.36>{\gamma}_{-152},\;_{0.05}=0.159)$.

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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Choi, Junesang;Rathie, Arjun K.;Parmar, Rakesh K.
    • Honam Mathematical Journal
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    • v.36 no.2
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    • pp.357-385
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    • 2014
  • Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions. Here we aim at giving further extensions of the abovementioned extended functions and investigating various formulas for the further extended functions in a systematic manner. Moreover, our extension of the Beta function is shown to be applied to Statistics and also our extensions find some connections with other special functions and polynomials such as Laguerre polynomials, Macdonald and Whittaker functions.

Gamma-Knife Radiosurgery for Vestibular Schwannoma (청신경초종에 대한 감마나이프 방사선 수술)

  • Paeng, Sung Hwa;Kim, Moo Seong;Sim, Hong Bo;Jeong, Yeong Gyun;Lee, Sun Il;Jung, Yong Tae;Kim, Soo Chun;Sim, Jae Hong
    • Journal of Korean Neurosurgical Society
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    • v.30 no.11
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    • pp.1308-1313
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    • 2001
  • Object : The goals of radiosurgery include preservation of neurological function and prevention of tumor growth. We document the results of gamma-knife radio-surgery for vestibular schwannoma. Method & Object : Eighty-two patients underwent stereotactic radiosurgery for an vestibular schwannoma from October, 1994 to December, 2000. Sixty-five of these patients were followed up for radiological and clinical evaluation. As pregamma-knife modality, surgical resection were done in 23 patients,and V-P shunt in 2 patients. Initial symptoms were headache(n=45), dizziness(n=16), tinnitus(n=17). While normal facial function(House-Brackmann grade 1) was present in 48 patients(73.8%), other patients showed grade 2 function in 8, grade 3 function in 7,and grade 4 function in 2. The Gardner/Robertson scale was used to code hearing function. Male to female ratio was 1:3. Mean tumor volume was $7.98cm^3$. Mean dose delivered to the tumor margin was 14.2Gy,and mean maximal dose was 28.3Gy. Results : Mean follow-up duration of 19.9 months. Thirty-five showed decrease(53.8%) in size, 19 patients(29.2%) stationary, 3(4.6%) initial decrease follow up increase, 5(7.6%) initial increase follow up decrease,and 59 patients (90.8%) were well controlled. Two patients experienced transient facial neuropathy, one transient trigeminal neuropathy, and one transient hearing deterioration. After gamma-knife radiosurgery, ventriculoperitoneal shunt was done in 4 patients. Conclusions : Gamma-knife radiosurgery can be used to treat postoperative residual tumors as well as in patients with concomitant medical problems in patients with preserved hearing function. Gamma-knife radiosurgery is safe and effective method to treat small, medium sized(less than 3cm in extracanalicular diameter), intracanalicular vestibular schwannoma, associated with low rate of cranial neuropathy.

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Geothermal Potential Mapping in Jeju Island Using Fuzzy Logic Based Data Integration (퍼지기반 공간통합에 의한 제주도의 지열 부존 잠재력 탐사)

  • Baek Seung-Gyun;Park Maeng-Eon
    • Korean Journal of Remote Sensing
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    • v.21 no.2
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    • pp.99-111
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    • 2005
  • A fuzzy logic based data integration was applied for geothermal potential mapping in Jeju Island. Several data sets, such as geological map, the density of drainage system, the distribution density of cinder cones, density of lineaments, aerial survey map for total magnetic intensity and total gamma ray, were collected as thematic map for the integration. Fuzzy membership function for all thematic maps were compared to the locations of the spa, which were used as ground-truth control points. The older geology, the lower density of drainage, cinder cones and lineaments, and the lower intensity of magnetic and gamma ray were showed the higher fuzzy membership function values, respectively. After integrating all thematic maps, the results of gamma operator with the gamma value of 0.75 was the highest success rate, and new geothermal potential zone is prospected in western north part of Jeju Island.

Ginsan Improved Th1 Immune Response Inhibited by Gamma Radiation

  • Han Seon Kyu;Song Jie Young;Yun Yeon Sook;Yi Seh Yoon
    • Archives of Pharmacal Research
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    • v.28 no.3
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    • pp.343-350
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    • 2005
  • Gamma radiation causes suppression of the immune function, and immune properties are related to cytokine production. In the present study, the polysaccharide, Ginsan, purified from an ethanol-insoluble fraction of Ginseng (Panax ginseng C.A. Meyer, Araliaceae) water extract was studied to assess its effects on the immunosuppressive activities of gamma radiation. Gin­san was found to stimulate murine normal splenocytes by inducing the mRNA expressions of Th1 and Th2 type cytokines, and also restore the mRNA expression of IFN-$/gamma$, Th1 cytokine, after its inhibition by whole-body gamma irradiation. Therefore, Ginsan was found to restore the T lymphocytes function that had been suppressed by gamma irradiation in allogenic MLR (mixed lymphocyte reactions). However, Ginsan exhibited no excessive stimulatory effects on the control group. The above results indicated that Ginsan may constitute a new noble agent for the improvement of gamma radiation-induced immunosuppression.

Identification of interacting proteins of retinoid-related orphan nuclear receptor gamma in HepG2 cells

  • Huang, Ze-Min;Wu, Jun;Jia, Zheng-Cai;Tian, Yi;Tang, Jun;Tang, Yan;Wang, Ying;Wu, Yu-Zhang;Ni, Bing
    • BMB Reports
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    • v.45 no.6
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    • pp.331-336
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    • 2012
  • The retinoid-related orphan nuclear receptor gamma ($ROR{\gamma}$) plays critical roles in regulation of development, immunity and metabolism. As transcription factor usually forms a protein complex to function, thus capturing and dissecting of the $ROR{\gamma}$ protein complex will be helpful for exploring the mechanisms underlying those functions. After construction of the recombinant tandem affinity purification (TAP) plasmid, pMSCVpuro $ROR{\gamma}$-CTAP(SG), the nuclear localization of $ROR{\gamma}$-CTAP(SG) fusion protein was verified. Following isolation of $ROR{\gamma}$ protein complex by TAP strategy, seven candidate interacting proteins were identified. Finally, the heat shock protein 90 (HSP90) and receptor-interacting protein 140 (RIP140) were confirmed to interplay with $ROR{\gamma}$ by co-immunoprecipitation. Interference of HSP90 or/and RIP140 genes resulted in dramatically decreased expression of CYP2C8 gene, the $ROR{\gamma}$ target gene. Data from this study demonstrate that HSP90 and RIP140 proteins interact with $ROR{\gamma}$ protein in a complex format and function as co-activators in the $ROR{\gamma}$-mediated regulatory processes of HepG2 cells.

CERTAIN FORMULAS INVOLVING EULERIAN NUMBERS

  • Choi, Junesang
    • Honam Mathematical Journal
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    • v.35 no.3
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    • pp.373-379
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    • 2013
  • In contrast with numerous identities involving the binomial coefficients and the Stirling numbers of the first and second kinds, a few identities involving the Eulerian numbers have been known. The objective of this note is to present certain interesting and (presumably) new identities involving the Eulerian numbers by mainly making use of Worpitzky's identity.

SOME REMARKS ON THE PERIODIC CONTINUED FRACTION

  • Lee, Yeo-Rin
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.2
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    • pp.155-159
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    • 2009
  • Using the Binet's formula, we show that the quotient related ratio $l_{1(x)}\;\neq\;0$ for the eventually periodic continued fraction x. Using this ratio, we also show that the derivative of the Minkowski question mark function at the simple periodic continued fraction is infinite or 0. In particular, $l_1({[\bar{1}]})$ = 2 log $\gamma$ where $\gamma$ is the golden mean $(1+\sqrt{5})/2$ and the derivative of the Minkowski question mark function at the simple periodic continued fraction $[\bar{1}]$ is infinite.

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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.