• Honam Mathematical Journal
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• v.4 no.1
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• pp.75-84
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• 1982

Let M be a complete and orientable hypersurface of an odd-dimensional sphere $S^{2n+1}$ with quasi-integrable $(f,\;g,\;u,\;{\nu},\;{\lambda})$ -structure. The purpose of the present paper is to prove the following two theorems. (I) If the scalar curvature of M is constant and the function $\lambda$ is not locally constant, then M is a great sphere $S^{2n}$(1) or a product of two spheres with the same dimension $S^{n}(1/\sqrt{2}){\times}S^{n}(1/\sqrt{2})$. (II) Suppose that the sectional curvature of the section $\gamma(u,\;{\nu})$ spanned by u and $\nu$ is constant on M and M is compact. If the second fundamental tensor H of M is positive semi-definite and satisfies trace $$^{t}HH{\leq_-}{2n}$$, then M is a great sphere $S^{2n}$ (1) or a product of two spheres $S^{n}{\times}S^{n}$ or $S^{p}{\times}S^{2n-p}$, p being odd.

• Honam Mathematical Journal
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• v.14 no.1
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• pp.107-121
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• 1992

In this paper, we consider an iterative algorithm for solving a new class of quasi complementarity problems of finding $u{\epsilon}R^{n}$ such that $g(u){\in}K(u)$, $Tu+A(u){\in}K^{*}(u)$, and < g(u), Tu + A(u) >=0, where T, A and g are continuous mappings from $R^{n}$ into itself and $K^{*}(u)$ is the polar cone of the convex cone K(u) in $R^{n}$. The algorithms considered in this paper are general and unifying ones, which include many existing algorithms as special cases for solving the complementarity problems. We also study the convergence criteria of the general algorithms.

• (The)Study of the Eastern Classic
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• no.67
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• pp.345-378
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• 2017

In the scriptures of "$Ch{\bar{u}}n-qi{\bar{u}}$(春秋)", the expression method of '$Ch{\bar{u}}n-w{\acute{a}}ng-zh{\bar{e}}ng-yu{\grave{e}}$(春王正月 : It's spring. It's the first month regulated by the king.)' was used as Jì-yuè-fǎ(紀月法 : the rules to determine the first month(正月)), the month of winter solstice was regarded as the first month of a year, and three years since then were named as $Ch{\bar{u}}n$(春 : spring). With regard to this "$Ch{\bar{u}}n-qi{\bar{u}}$"Wáng-lì("春秋"王曆 : the calendar regulated by the king of $Zh{\bar{o}}u$(周) dynasty in "$Ch{\bar{u}}n-qi{\bar{u}}$"), depending on whether Confucius(孔子) changed and recorded the names of the months and the season or not, there were three different arguments; the theory that 'Confucius changed the names of both the months and the season'(孔子改月 改時說), the view that 'Confucius changed the name of the season, not the names of the months'(孔子不改月 改時說), and then the theory that 'Confucius changed neither the names of the months nor the name of the season'(孔子不改月 不改時) since Song(宋) dynasty. The first view was taken by $Hh{\acute{u}}-{\bar{a}}n-gu{\acute{o}}$(胡安國) and $C{\grave{a}}i-ch{\acute{e}}n$(蔡沈), and the second theory was mentioned by Chéng-yí(程?) and Zhū-zǐ(朱子). The advocates of the third view had become remarkable since Ming(明) dynasty, and one of representatives was Wàng-yáng-míng(王陽明). All of them based their arguments on ancient scriptures and Confucian legal books, and there were cases of taking the same records as the support for different opinions. Confucius' so-called 'Chūn-qiū-bǐ-fǎ(春秋筆法 : the method to describe historical facts by making clear discrimination between right and wrong)' and '$Sh{\grave{u}}-{\acute{e}}r-b{\grave{u}}-zu{\grave{o}}$(述而不作 : the attitude to succeed virtuous men's achievements and only explain and describe them not creating and adding new contents)' could come from thoughts of $Z{\bar{u}}n-w{\acute{a}}ng$(尊王 : to respect the king with the virtues of benevolence, righteousness, propriety, wisdom and sincerity). Therefore, even though Confucius is assumed to have been the writer of "$Ch{\bar{u}}n-qi{\bar{u}}$(春秋)", whether he actually changed and recorded the names of the months and the season in the calendar used in "$Ch{\bar{u}}n-qi{\bar{u}}$" is doubtful. These theories on Confucius's intervention in the calendar of "$Ch{\bar{u}}n-qi{\bar{u}}$" hadn't been discussed as conflicting in reality until Tang(唐) dynasty.

• Proceedings of the Korean Society of Crop Science Conference
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• 1998.04a
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• pp.29-30
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• 1998

• Proceedings of the Korean Society of Crop Science Conference
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• 1997.05a
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• pp.50-51
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• 1997

• Journal of the korean veterinary medical association
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• v.19 no.1
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• pp.33-38
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• 1983

Aeromonas punctata subgroup caviae and Plesiomonas shigelloides were isolated and identified from the lesion of ulcer disease of crusion carp in Ban Wol storing reservoir, the kyungki-do province.

• Korean Journal of Acupuncture
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• v.25 no.2
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• pp.115-123
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• 2008

Objectives : The aim of this stuty is to investigate the effect of acupuncture at $Yanggn\bar{u}ngch'\check{o}n$ (G34) on the muscle fatigue. Methods : Subjects were asked to perform the elbow flexion and extension to induce the muscle fatigue. Sample group of 16 healthy subjects had acupuncture on $Yanggn\bar{u}ngch'\check{o}n$ (G34) during the resting time, while control group of 13 healthy subjects did not. Surface electromyography (sEMG) was measured after exercise and rest to record muscle fatigue. Results : Acupuncture at $Yanggn\bar{u}ngch'\check{o}n$ (G34) is effective for decreasing the muscle fatigue.

• The Journal of the Korean dental association
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• v.11 no.4
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• pp.263-266
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• 1973

The measuring tests on the rest position capacity and the tongue volume were conducted on the one hundred normal dental college students and staffs of Seoul National University in order to study the relationships between the est position Capacity and tongue volume. The results were as follows : 1) The correlation between the rest position capacity and tongue volume was hardly recognized. 2) The correlation between tongue volume and the weight was recognized. 3) Physiologic reflex was coused by the water injected in the mouth in the rest position. 4) Each correlation of the height and cheek thickness to the tongue volume was not recognized.

• Bulletin of the Korean Mathematical Society
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• v.56 no.6
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• pp.1485-1495
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• 2019

The purpose of this paper is to compute the number of semistar operations of certain classes of finite dimensional $Pr{\ddot{u}}fer$ domains. We prove that ${\mid}SStar(R){\mid}={\mid}Star(R){\mid}+{\mid}Spec(R){\mid}+ {\mid}Idem(R){\mid}$ where Idem(R) is the set of all nonzero idempotent prime ideals of R if and only if R is a $Pr{\ddot{u}}fer$ domain with Y -graph spectrum, that is, R is a $Pr{\ddot{u}}fer$ domain with exactly two maximal ideals M and N and $Spec(R)=\{(0){\varsubsetneq}P_1{\varsubsetneq}{\cdots}{\varsubsetneq}P_{n-1}{\varsubsetneq}M,N{\mid}P_{n-1}{\varsubsetneq}N\}$. We also characterize non-local $Pr{\ddot{u}}fer$ domains R such that ${\mid}SStar(R){\mid}=7$, respectively ${\mid}SStar(R){\mid}=14$.

• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.221-228
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• 2013

The method of upper and lower solutions and the generalized quasilinearization technique is developed for the existence and approximation of solutions to boundary value problems for higher order fractional differential equations of the type $^c\mathcal{D}^qu(t)+f(t,u(t))=0$, $t{\in}(0,1),q{\in}(n-1,n],n{\geq}2$ $u^{\prime}(0)=0,u^{\prime\prime}(0)=0,{\ldots},u^{n-1}(0)=0,u(1)={\xi}u({\eta})$, where ${\xi},{\eta}{\in}(0,1)$, the nonlinear function f is assumed to be continuous and $^c\mathcal{D}^q$ is the fractional derivative in the sense of Caputo. Existence of solution is established via the upper and lower solutions method and approximation of solutions uses the generalized quasilinearization technique.