• Title/Summary/Keyword: 2010s

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AN EXTENSION OF THE TRIPLE HYPERGEOMETRIC SERIES BY EXTON

  • Lee, Seung-Woo;Kim, Yong-Sup
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.61-71
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    • 2010
  • The aim of this paper is to extend a number of transformation formulas for the four $X_4$, $X_5$, $X_7$, and $X_8$ among twenty triple hypergeometric series $X_1$ to $X_{20}$ introduced earlier by Exton. The results are derived from the generalized Kummer's theorem and Dixon's theorem obtained earlier by Lavoie et al..

LOCATING ROOTS OF A CERTAIN CLASS OF POLYNOMIALS

  • Argyros, Ioannis K.;Hilout, Said
    • East Asian mathematical journal
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    • v.26 no.3
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    • pp.351-363
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    • 2010
  • We introduce a special class of real recurrent polynomials $f_m$$($m{\geq}1$) of degree m+1, with positive roots $s_m$, which are decreasing as m increases. The first root $s_1$, as well as the last one denoted by $s_{\infty}$ are expressed in closed form, and enclose all $s_m$ (m > 1). This technique is also used to find weaker than before [6] sufficient convergence conditions for some popular iterative processes converging to solutions of equations.

SOME STUDIES ON 2-PRIMAL RINGS, (S,1)-RINGS AND THE CONDITION (KJ)

  • Matsuoka, Manabu
    • Communications of the Korean Mathematical Society
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    • v.25 no.3
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    • pp.343-347
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    • 2010
  • In this paper we study the connection between 2-primal rings, (S,1)-rings and related conditions. And we investigate some condition which is the special case of pseudo symmetric. We also study the condition (KJ) which is given by J. Y. Kim and H. L. Jin. We introduce some condition and we prove that our condition is equivalent to the condition (KJ) when it is an (S,1)-ring.

AN INTEGRATION FORMULA FOR ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS

  • Ryu, Kun Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.4
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    • pp.711-720
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    • 2010
  • In this note, we will establish the integration formulae for functionals such as $F(x)=\prod_{j=1}^{n}\;x(s_j)^2$ and $G(x)=\exp\{{\lambda}{\int}_{0}^{t}\;x(s)^2dm_L(s)\}$ in the analogue of Wiener measure space and using our formulae, we will derive some formulae for series.

WARING'S PROBLEM FOR LINEAR FRACTIONAL TRANSFORMATIONS

  • Kim, Dong-Il
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.315-321
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    • 2010
  • Waring's problem deals with representing any nonconstant function in a set of functions as a sum of kth powers of nonconstant functions in the same set. Consider ${\sum}_{i=1}^p\;f_i(z)^k=z$. Suppose that $k{\geq}2$. Let p be the smallest number of functions that give the above identity. We consider Waring's problem for the set of linear fractional transformations and obtain p = k.

A PARTICULAR SOLUTION OF THE EINSTEIN'S EQUATION IN EVEN-DIMENSIONAL UFT Xn

  • Lee, Jong Woo
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.185-195
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    • 2010
  • In the unified field theory(UFT), in order to find a solution of the Einstein's equation it is necessary and sufficient to study the torsion tensor. The main goal in the present paper is to obtain, using a given torsion tensor (3.1), the complete representation of a particular solution of the Einstein's equation in terms of the basic tensor $g_{{\lambda}{\nu}}$ in even-dimensional UFT $X_n$.

A Study on the Changes in Spatial Composition Ratio of National Rental Houses - Focused on the Jangseong-gun Jeollanam-do Province - (국민임대주택의 평면구성비 변화에 관한 연구 -전라남도 장성군을 중심으로 -)

  • Kim, Hong-Bae
    • Journal of the Korean Institute of Rural Architecture
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    • v.20 no.1
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    • pp.61-68
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    • 2018
  • This study aims to investigate the changes in area ratios by space through floor plans of national leasing houses constructed by the LH in Jangseong-gun, particularly focusing on the floor plans of public leasing housing complexes built during the 1970s-80s and those during the 2010s. The results are as follows: First, according to the composition ratio of floor plans by period, the type of Bedroom> Livingroom> Common Area> Kitchen+Dining> Multi-purpose room> Bathroom> or the type of Bedroom> Livingroom> Kitchen/Dining> Common Area> Bathroom> Multi-purpose room were found to be high during the 1970s. Whereas, the type of Common Area>Living room(Kitchen/Dining included)>Bedroom>Bathroom>Front Entrance was found to be high during the 2010. It can be concluded that the ratio of Bedroom and Living room was found to be high during the 1970s, but after 2010s, the spacial composition ratio of Common Space, Living room, and Bedroom is getting higher in the order. Second, in terms of the composition ratio of floor plans by the area of unit household, among the floor plan of C-1, B-2, B-3, C-2 which were used since 2010s, the spatial ratio of Bedroom was maintained in the range of 20%; while during the 1970s, the Bedroom space of A-1(46%), A-2(46%), and A-3(41%) was found to be higher than 40%. It can be concluded that the size of bedroom space has doubled over time. In terms of the changes in the spatial ratio of Living room, A-1(15%), A-2(22%), and A-3(23%) were found during the 1970s. Compared to the recent floor plans of C-1(28%), B-2(25%), B-3(33%), and C-2(34%) which are applied in Jangseong-gun, Jeollanam-do province, no big changes have been found, particularly in the small floor plans (20% range).

Characteristics of Nutrient Intake According to Metabolic Syndrome in Korean Elderly - Using Data from the Korea National Health and Nutrition Examination Survey 2010 - (노인의 대사증후군 유병에 따른 영양소 섭취 특성 - 국민건강영양조사 제5기 1차년도(2010) 자료를 이용하여 -)

  • Kim, Mi Hyun
    • The Korean Journal of Food And Nutrition
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    • v.26 no.3
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    • pp.515-525
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    • 2013
  • This study was performed to investigate the characteristics of nutrient intake according to metabolic syndrome in Korean elderly. Data on 1,200 elderly (men 545, women 655) over 65 years was obtained from the Korea National Health and Nutrition Examination Survey 2010. The subjects were divided into metabolic syndrome (MetS) and normal groups based on NCEP-ATP III guidelines and by applying the Asia-Pacific definition with waist circumference. The prevalence of MetS was 48.9% in all subjects, 35.6% in men and 58.9% in women, respectively. All nutrient intake was significantly lower in MetS than normal subjects, except iron, vitamin A, carotene, and retinol. In the carbohydrate: protein: fat (C:P:F) ratio, MetS showed a higher rate for carbohydrate, but a lower rate for protein and fat than normal. MetS was lower in calcium, vitamin B1, and vitamin C by the nutrient adequacy ratio than normal. Mean adequacy ratio of MetS (0.69) was lower than that of the normal group (0.72). These results demonstrated that undernutrition, not excess intake of specific nutrients - energy, fat, or cholesterol was associated with the risk for MetS in Korean elderly with MetS. Therefore, it is recommended to have a healthy dietary pattern with diverse nutrients for the prevention of MetS.