• 충청수학회지
• /
• 제23권1호
• /
• pp.59-63
• /
• 2010

In this paper, we introduce the concept of weakly-ultra-${\alpha}{\psi}$-separation of two sets in a topological space using ${\alpha}{\psi}$-open sets. The ${\alpha}{\psi}$-closure and the ${\alpha}{\psi}$-kernel are defined in terms of this weakly ultra-${\alpha}{\psi}$-separation. We also investigate some of the properties of the ${\alpha}{\psi}$-kernel and the ${\alpha}{\psi}$-closure.

• 한국전문물리치료학회지
• /
• 제20권2호
• /
• pp.1-10
• /
• 2013

The purpose of this study was to determine the effect of the changes that occur in the leg muscle activity of unstable surface with different levels of air pressures. Three groups of college students have been placed randomly on unstable surfaces with different air pressures at group 1.0 psi ($n_1$=36), group 1.4 psi ($n_2$=40), and group 1.8 psi ($n_3$=40). Using surface electromyography, the recruitment of the tibialis anterior, peroneus longus, and the gastrocnemius was measured. Maximal voluntary isometric contraction was measured at the different air pressures based on the manual muscle test, then normalizing the value to %maximal voluntary isometric contraction (%MVIC). The tibialis anterior muscle activity was significant change from the unstable surface with difference levels of air pressures between group 1.0 psi and 1.8 psi and between group 1.4 psi and 1.8 psi. peroneus longus muscle activity was significant changes in muscle activity occurred between 1.0 psi and 1.4 psi group and between 1.0 psi and 1.8 psi group. Gastrocnemius muscle activity was significant change in muscle activity occurred between 1.0 psi and 1.4 psi group and between 1.0 psi and 1.8 psi group. In conclusion it identify that 1.0 psi group is most effective on muscle activity than the other groups. These suggest that the rehabilitation or strengthening of patients with ankle injuries, balance exercise with low air pressure like 1.0 psi can be more effective.

• 비파괴검사학회지
• /
• 제20권3호
• /
• pp.200-205
• /
• 2000

제 1보에서 Windows 환경 하에서 PSI/ISI 데이터의 효율적 관리 및 다원적평가와 분석이 가능한 고리 원전 PSI/ISI 데이터베이스 구축과 프로그램 개발(IDPIN)에 대해 소개하였다. 제 2보에서는 월성 원자력발전소 PSI/ISI 자료 관리를 위한 지능형 데이터베이스 프로그램(WS-IDPIN)을 개발하였다. 이 프로그램에는 월성 원전 PSI/ISI 관련 자료 분석 기능, PSI/ISI UT 검사 보고서 양식의 표준화와 전산 시스템화, PSI/ISI 비파괴검사 결과의 통계적 신뢰도 평가 프로그램(depth and length sizing performance 등) 등을 개발하여 원전 PSI/ISI 데이터 관리 전문가시스템(expert system)화에 한 단계 접근하였다.

• Korean Journal of Mathematics
• /
• 제5권2호
• /
• pp.177-183
• /
• 1997

Let ${\sigma}(X,x_0,G)$ be the fundamental group of a transformation group (X,G). Let $R({\varphi},{\psi})$) be the generalized Reidemeister number for an endomorphism $({\varphi},{\psi}):(X,G){\rightarrow}(X,G)$. In this paper, our main results are as follows ; we prove some sufficient conditions for $R({\varphi},{\psi})$ to be the cardinality of $Coker(1-({\varphi},{\psi})_{\bar{\sigma}})$, where 1 is the identity isomorphism and $({\varphi},{\psi})_{\bar{\sigma}}$ is the endomorphism of ${\bar{\sigma}}(X,x_0,G)$, the quotient group of ${\sigma}(X,x_0,G)$ by the commutator subgroup $C({\sigma}(X,x_0,G))$, induced by (${\varphi},{\psi}$). In particular, we prove $R({\varphi},{\psi})={\mid}Coker(1-({\varphi},{\psi})_{\bar{\sigma}}){\mid}$, provided that (${\varphi},{\psi}$) is eventually commutative.

• 대한수학회지
• /
• 제54권2호
• /
• pp.599-612
• /
• 2017

If ${\psi}$ is analytic on the open unit disk $\mathbb{D}$ and ${\varphi}$ is an analytic self-map of $\mathbb{D}$, the weighted composition operator $C_{{\psi},{\varphi}}$ is defined by $C_{{\psi},{\varphi}}f(z)={\psi}(z)f({\varphi}(z))$, when f is analytic on $\mathbb{D}$. In this paper, we study normal, cohyponormal, hyponormal and normaloid weighted composition operators on the Hardy and weighted Bergman spaces. First, for some weighted Hardy spaces $H^2({\beta})$, we prove that if $C_{{\psi},{\varphi}}$ is cohyponormal on $H^2({\beta})$, then ${\psi}$ never vanishes on $\mathbb{D}$ and ${\varphi}$ is univalent, when ${\psi}{\not\equiv}0$ and ${\varphi}$ is not a constant function. Moreover, for ${\psi}=K_a$, where |a| < 1, we investigate normal, cohyponormal and hyponormal weighted composition operators $C_{{\psi},{\varphi}}$. After that, for ${\varphi}$ which is a hyperbolic or parabolic automorphism, we characterize all normal weighted composition operators $C_{{\psi},{\varphi}}$, when ${\psi}{\not\equiv}0$ and ${\psi}$ is analytic on $\bar{\mathbb{D}}$. Finally, we find all normal weighted composition operators which are bounded below.

• 대한수학회보
• /
• 제46권3호
• /
• pp.499-510
• /
• 2009

For a Borel function ${\psi}:\mathbb{R}{\times}\mathbb{R}{\rightarrow}\mathbb{R}$ satisfying the functional equation $\psi$ (s + t, u + v) + $\psi$(s - t, u - v) = $2\psi$(s, u) + $2\psi$(t, v), we show that it satisfies the functional equation $$\psi$$(s, t) = s(s - t)$$\psi$$(1, 0) + $$st\psi$$(1, 1) + t(t - s)$$\psi$$(0, 1). Using this, we prove the stability of the functional equation f(ax + ay, bz + bw) + f(ax - ay, bz - bw) = 2abf(x, z) + 2abf(y,w) in Banach modules over a unital $C^*$-algebra.

• 한국해양학회지:바다
• /
• 제19권2호
• /
• pp.109-124
• /
• 2014

남극 아문젠해의 탄소순환을 이해하기 위해서 표층에서 심층으로의 입자상 유기탄소 침강플럭스를 ${\psi}$/${\psi}$ 비평형법을 이용하여 추정하였다. 2012년 2월과 3월에 걸쳐 남극 아문젠해의 총 14개 정점에서 깊이별로 해수시료를 채취하였고, 총 ${\psi}$, 용존 ${\psi}$ 및 입자상 유기탄소를 분석하였다. 수심에 따라 총 ${\psi}$의 활동도 농도는 ${\psi}$에 비하여 결핍과 과잉을 나타내었다. 유광대에서 총 ${\psi}$의 결핍 정도는 엽록소 및 형광도와 거울상을 나타내고, 질산염 제거와 수반되어 나타나므로 생물 활동의 영향으로 파악되었다. 심층에서 일어나는 총 ${\psi}$ 결핍은 Fe/Mn 산화물에 의해 이루어지는 것으로 해석되었다. 유광대 바로 아래의 수층에서 나타나는 총 ${\psi}$ 과잉은 재광물화 작용보다는 이 깊이에 집적된 입자상 ${\psi}$에 기인하였다. 정상상태 모델로 추정한 ${\psi}$의 침강플럭스는 평균 $867{\pm}246dpmm^{-2}day^{-1}$이었으며, 유광대에서 질소와 인의 결핍 총량과 밀접한 관련성을 보였다. 입자상 유기탄소와 ${\psi}$의 비율($7.08{\pm}4.27{\mu}molCdpm^{-1}$)을 이용하여 추정한 입자상 유기탄소의 침강플럭스는 평균 $5.9{\pm}3.9mmolCm^{-2}day^{-1}$으로 나타났는데 이 값은 2-3월의 웨델해와 유사한 수준이었다. 입자상 유기탄소 플럭스와 일차생산력의 비율로 나타낸 생물 펌프의 효율(ThE)은 3-54%(평균 28%) 범위였다.

• Kyungpook Mathematical Journal
• /
• 제52권4호
• /
• pp.405-412
• /
• 2012

The purpose of the present paper is towards working out a unified version of the study of certain weak forms of generalized open sets and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by $\acute{A}$. Cs$\acute{a}$sz$\acute{a}$r, we introduce unified definitions of ${\wedge}_{\psi}$-sets, ${\vee}_{\psi}$-sets, $g{\cdot}{\wedge}_{\psi}$-sets and $g{\cdot}{\vee}_{\psi}$-sets and derive results concerning them.

• 대한수학회보
• /
• 제33권4호
• /
• pp.545-551
• /
• 1996

It is well known in the theory of distributions and proved in [GS, S] that $$ (i) (Bochner-Schwartz) Every positive definite (tempered) distribution is the Fourier transform of a positive tempered measure \mu. $$ $$ (ii) (Schwartz kernel theorem) Let B(\varphi, \psi) be a bilinear distribution. Then for some u \in D'(R^n \times R^n) B(\varphi, \psi) = u(\varphi(x)\bar{\psi}(y)) for every \varphi, \psi \in C_c^\infty. $$ $$ (iii) A translation invariant positive definite bilinear distribution B(\varphi, \psi) is of the form B(\varphi, \psi) = \smallint \varphi(x)\psi(x) d\mu(x) for every \varphi, \psi \in C_c^\infty (R^n), where \mu is a positive tempered measure.

• 통합자연과학논문집
• /
• 제2권3호
• /
• pp.211-214
• /
• 2009

A new porous silicon (PSi) microcavity sensor for the detection of volatile organic compounds (VOCs) was developed. PSi microcavity sensor exhibiting unique reflectivity was successfully obtained by an electrochemical etching of silicon wafer. When PSi was fabricated into a structure consisting of two high reflectivity muktilayer mirrors separated by an active layer, a microcavity was formed. This PSi microcavity is very sensitive structures. Reflection spectrum of PSi microcavity indicated that the full-width at half-maximum (FWHM) was of 10 nm and much narrower than that of fluorescent organic molecules or quantum dot. The detection of volatile organic compounds (VOCs) using PSi microcavity was achieved. When the vapor of VOCs condensed in the nanopores, the refractive indices of entire particle increased. When PSi microcavity was exposed to acetone, ether, and toluene, PSi microcavity in reflectivity was red shifted by 28 nm, 33 nm, and 20 nm for 2 sec, respectively.