• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.57-68
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• 1999

In this short note, we construct another form of Stirling`s asymptotic series by new form of Carlitz`s q-Bernoulli numbers.

• Honam Mathematical Journal
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• v.22 no.1
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• pp.53-60
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• 2000

We evaluate some interesting families of infinite series expressed in terms of the Psi (or Digamma) and Zeta functions by analyzing the well-known identity associated with $_3F_2$ due to Watson. Some special cases are also considered.

• 한국전산유체공학회:학술대회논문집
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• 2010.05a
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• pp.252-257
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• 2010

The availability of the thermal energy has been deeply recognized recently to encourage the cascade usage of thermal energy from combustion. Within the frame work, a 1 kW class Stirling engine based cogeneration system has been proposed for a unit of a distributed energy system. The capacity has been designed to be adequate for the domestic usage, which requires high compactness as well as low emission and noised. To develop a highly efficient system with satisfying these requirements, a premixed slot flame burner has been proposed and a series of numerical simulation has been performed to establish a design tool for the combustion chamber. The thermal radiation model has been found to highly affect the computational results and a proper resolution to analyze the heat transfer characteristics of the high temperature heat exchanger. Finally, the combustion characteristics of the premixed flame with the metal fiber type burner has been studied.

• Korean Institute of Interior Design Journal
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• no.14
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• pp.82-89
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• 1998

During the boom of museum building in the 1970s-80s two museum wee erected in Germany. They are James Stirling's Neue Stattsgalerie Stuttgart and hans Hollein's Stadtisches Museum Abteiberg Monchengladbach, These two museums share the folowing point of similarity : Stirling's Neue Stattsgalerie Stuttgart and Hollein's Staditisches Museum Abetiberg Monchenbladbach both manifest the conditions of the times in light of their respective cities' local characters and historical contexts without being bound to traditional formality. Stirling and Hollein attempted to grasp the meaning of the 기nuseum as a city in miniature." Taking into account the t two museums’s territorial characteristics of being situated on a slope, both Stirling and Hollein made the walker to pass t through their building complex and introduced the concept of a public square within them. As a result, the museums are not j just two large buildings but are architecture composed of a collage of various structures. S Stirling’s architecture employs the method of attaching additional elements on top of basic constituents, which is suggestive '||'&'||'#61551; of the historical fragment from Shinkel's Altes Museum. On the other hand, Hollein applies a collage-style method as if he w were doing urban planning, maintaining the distinctiveness of each of the various forms and materials of buildings. T The object style buildings of the two museums actively demonstrate the contrast of double meaning to represent the a ambiguous and multifarious characteristics of the modern times. Stirling explores the theme of opposition and coexistence in h his Neue Stattsgalerie Stuttgart by placing a series of opposing concepts, such as the past and present and histor${\gamma}$ and t technology, in one space. Thereby, the contradiction and its appeal are manifested. Hollein made use of the visual illusion and c contradiction in alluding to the irony of the modern reality induced by nature and culture and history and technology. F For the above reasons and methods, James Stirling ’ s Neue Stattsgalerie Stuttgart allowed the penetration of art into daily l life and became the general public’s favored museum for its free and unrestrained environment. Likewise, Hans Hollein’s S Stadtisches Museum Abteiberg Moncbengladbach contribute to the development of museum function as it an expression of art i in the form of a complex piece of scupture on its own.ts own.

• Bulletin of the Korean Mathematical Society
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• v.38 no.2
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• pp.399-412
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• 2001

In this paper, we consider that the q-analogue of w$\omega-Bernoulli numbers\; B_i(\omega, q)$. And we calculate the sums of products of two q-analogue of $\omega-Bernoulli numbers B_i(\omega, q)$ in complex cases. From this result, we obtain the Euler type formulas of the Carlitz´s q-Bernoulli numbers $\beta_i(q)$ and q-Bernoulli numbers $B_i(q)$. And we also calculate the p-adic Stirling type series by the definition of $B_i(\omega, q)$ in p-adic cases.

• Bulletin of the Korean Mathematical Society
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• v.42 no.3
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• pp.617-622
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• 2005

In this paper, using Gauss multiplication formula, a recurrence relation for Bernoulli numbers, generalizing Namias' results, is given.

• Journal of computational fluids engineering
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• v.16 no.3
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• pp.88-94
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• 2011

The availability of the thermal energy has been deeply recognized recently to encourage the cascade usage of thermal energy from combustion. Within the framework, a 1 kW class Stirling engine based cogeneration system has been proposed for a unit of a distributed energy system. The capacity has been designed to be adequate for the domestic usage, which requires high compactness as well as low emission and noise. To develop a highly efficient system with satisfying these requirements, a premixed slot type short flame burner has been proposed and a series of numerical simulation has been performed to establish a design tool for the combustion chamber. The thermal radiation model has been found to highly affect the computational results and a proper resolution to analyze the heat transfer characteristics of the high temperature heat exchanger. Finally, the combustion characteristics of the premixed flame with the metal fiber type burner has been studied.

• East Asian mathematical journal
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• v.15 no.2
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• pp.201-210
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• 1999

Morley provided an interesting identity about 20 years earlier before its more generalized form was given by Dixon. In this note some of its generalized forms and an application of Morley's formula are considered.

• Journal of Aquaculture
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• v.19 no.2
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• pp.99-108
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• 2006

Sex of the Nile tilapia Oreochromis niloticus is mainly determined by an XX/XY system. However, accumulating evidences suggest the existence of additional sex modifying factors including environmental, autosomal and parental influences. In order to investigate the possibility of parental effects on sex ratios of tilapia progenies, in this study, a series of crosses was carried out using gynogenetic clonal fish, neomales, normal males and females, and YY fish. Crosses between clonal XX male and clonal female have yielded only female progenies and no parental influences were observed. However, in the crosses between clonal males and normal females, female parents were significantly associated with the progeny sex ratios ($X^2$=20.046, 7 d.f., p<0.01). Progeny sex ratios from the crosses between neomales and normal females ($X^2$=60.491, 5 d.f and $X^2$=28.072, 2 d.f.) also showed significant association with female parents (P<0.001). The stability of progeny sex ratios from repeated spawns were confirmed by using 6 different parental pairs. In 16 crosses between normal males and normal females, sex ratios of progenies showed clear maternal influences, and further analysis of the results revealed a negative correlation ($r^2$=0.7718, p<0.05) between the sex ratios of progenies from two different males, indicating a strong paternal influence. No statistically significant relationship between survival rates and sex ratios of progenies was observed in any genotypic groups. Taken together, the influence of parental pairs on progeny sex ratios in this species is evident although the cause of this influence is not clear.