• Honam Mathematical Journal
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• v.26 no.4
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• pp.463-469
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• 2004

In this paper we establish some recurrence relations satisfied by quotient moments of upper record values from the exponential distribution. Let $\{X_n,\;n{\geq}1\}$ be a sequence of independent and identically distributed random variables with a common continuous distribution function F(x) and probability density function(pdf) f(x). Let $Y_n=max\{X_1,\;X_2,\;{\cdots},\;X_n\}$ for $n{\geq}1$. We say $X_j$ is an upper record value of $\{X_n,\;n{\geq}1\}$, if $Y_j>Y_{j-1}$, j > 1. The indices at which the upper record values occur are given by the record times {u(n)}, $n{\geq}1$, where u(n)=min\{j{\mid}j>u(n-1),\;X_j>X_{u(n-1)},\;n{\geq}2\} and u(1) = 1. Suppose $X{\in}Exp(1)$. Then $\Large{E\;\left.{\frac{X^r_{u(m)}}{X^{s+1}_{u(n)}}}\right)=\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{s}E\;\left.{\frac{X^r_{u(m)}}{X^s_{u(n)}}}\right)}$ and $\Large{E\;\left.{\frac{X^{r+1}_{u(m)}}{X^s_{u(n)}}}\right)=\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m)}}{X^s_{u(n-1)}}}\right)-\frac{1}{(r+2)}E\;\left.{\frac{X^{r+2}_{u(m-1)}}{X^s_{u(n-1)}}}\right)}$.

• International Commerce and Information Review
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• v.6 no.3
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• pp.373-384
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• 2004

While the bilateral trade volume between China and U.S. has been growing rapidly, the trade deficits of U.S. to China has also been expanding. This growing trade deficit of U.S. to China has several reasons: the increase of foreign direct investment to China, the transfer of trade deficit origins, the intervention of U.S. domestic politics to China-U.S. trade relations, and U.S. direct control on export to China. However, the increased U.S. trade deficit to China does not mean that U.S. is in a disadvantaged position in its economic relations with China, or its international competitiveness is deteriorating. When U.S. surplus in service trade to China is included, the picture would be very different. Also, as internationalization progresses and China's industrial structure adjusts, the trade deficit of U.S. to China would narrow.

• Proceedings of the Korean Magnestics Society Conference
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• 1996.05a
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• pp.30-31
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• 1996

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.525-532
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• 2004

For two vertices u and v of an oriented graph D, the set I(u, v) consists of all vertices lying on a u-v geodesic or v-u geodesic in D. If S is a set of vertices of D, then I(S) is the union of all sets 1(u, v) for vertices u and v in S. The geodetic number g(D) is the minimum cardinality among the subsets S of V(D) with I(S) = V(D). In this paper, we give a partial answer for the conjecture by G. Chartrand and P. Zhang and present some results on orient able geodetic number.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.12
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• pp.555-586
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• 1999

United States has extended the extraterritorial application of U.S. Antitrust Law in 1990s. First, The U.S. Federal Supreme Court declared in Hartford Fire Insurance Co. v. California that the extraterritorial application of U.S. Antitrust Law is according to Effect Doctrine. Therefore, U.S. Antirust Division and FTC will continue to base their assertions of juridiction on the test of direct, substantial and foreseeable effects on U.S. interests. Second, U.S. Antitrust Law apply to foreign conduct that such conduct has direct, substantial and reasonably foreseeable effect on U.S. domestic or import commerce and export commerce. Third, United States has extended the extraterritorial application of U.S. Antitrust Law on international licensing contract or international merger. Forth, United States impose criminal responsbility of U.S. Antitrust Law on the foreign anticompetitive conduct. Therefore, our government and industries must consider the corresponding stratigies against the extension of the extraterritorial application of U.S. Antitrust Law.

• Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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• v.6
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• pp.305-322
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• 2002

Seit dem Ereignis des Tunnbaus zu Babel. versucht man, Sprachbarriere zu $\"{u}berwinden$. Eine dieser $Bem\"{u}hungen$ hat seit der 60er Jahre zur Anwendung von Computern in der $\"{U}bersetzung gef\"{u}hrt$. Bei der automatischen $\"{U}bersetzung\;\"{u}bernimmt$ der Computer die Aufgabe, Texte von einer $nat\"{u}rlichen$ Sprache in eine andere zu $\"{u}bertragen$. Die vorliegende Arbeit $besch\"{a}ftigt$ sich mit verschiedenen Arten von den sogenannten $\"{U}bersetzungspatterns\;f\"{u}r$ die automatische $\"{U}bersetzung$ Koreanisch­Deutsch. Zu den $\"{U}bersetzungspatterns\;geh\"{o}ren$ u.a. Verbphrasen-Pattern, Nominalphrasen-Pattern und Verbindungspattern. Unter 'Verbphrasen-Pattern' versteht man einen gekoppelten Subkategorisierungsrahmen der Verben zweier Sprachen. 'NominaIphrasen-Pattern' verstehen sich als $\"{U}bersetzungspattern$ der Nominalphrasen. Unter 'Verbindungs-Pattern' werden $\"{U}bersetzungspattern$ von komplexen $S\"{a}tze$ verstanden, wie z.B. Satzkoordinationen und $S\"{a}tze$ mit eingebetten $S\"{a}tzen$. Als Vorteil des Ansatzes $z\"{a}hlen$ u.a. die Wiederverwendbarkeit bzw. das leichte Management der Patterns, die $Beschreibungsm\"{o}glichkeit$ in der lexikalischen Ebene, die Generieung der naturlichen $Ziels\"{a}tze$ und die leichte Verbesserung der $\"{U}bersetzungsqualit\"{a}t$. Die in dieser Arbeit vorgestellten $\"{U}bersetzungspatterns\;k\"{o}nnen$ aIs Hilfsmittel $f\"{u}r$ Deutschunterrichte, Aufsatzhilfesysteme und elektronische Koreanisch-Deutsch $W\"{o}rterb\"{u}cher$ eingesetzt werden.

• Proceedings of the KOSOMBE Conference
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• v.1985 no.06
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• pp.29-32
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• 1985

• Communications of the Korean Mathematical Society
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• v.38 no.4
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• pp.1045-1061
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• 2023

Using variational methods, Krasnoselskii's genus theory and symmetric mountain pass theorem, we introduce the existence and multiplicity of solutions of a parameteric local equation. At first, we consider the following equation $$\{-div[a(x,{\mid}{\nabla}u{\mid}){\nabla}u]\,=\,{\mu}(b(x){\mid}u{\mid}^{s(x)-2}-{\mid}u{\mid}^{r(x)-2})u\;in\;{\Omega},\\u\,=0\,on\;{\partial}{\Omega},$$ where Ω⊆ ℝ^N is a bounded domain, µ is a positive real parameter, p, r and s are continuous real functions on ${\bar{\Omega}}$ and a(x, ξ) is of type |ξ|^p(x)-2. Next, we study boundedness and simplicity of eigenfunction for the case a(x, |∇u|)∇u = g(x)|∇u|^p(x)-2∇u, where g ∈ L^∞(Ω) and g(x) ≥ 0 and the case $a(x,\,{\mid}{\nabla}u{\mid}){{\nabla}u}\,=\,(1\,+\,{\nabla}u{\mid}^2)^{\frac{p(x)-2}{2}}{\nabla}u$ such that p(x) ≡ p.

• Bulletin of the Korean Mathematical Society
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• v.52 no.3
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• pp.1007-1025
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• 2015

Let $\mathbb{N}_0$ be the set of non-negative integers, and let P(n, l) denote the set of all weak compositions of n with l parts, i.e., $P(n,l)=\{(x_1,x_2,{\cdots},x_l){\in}\mathbb{N}^l_0\;:\;x_1+x_2+{\cdots}+x_l=n\}$. For any element $u=(u_1,u_2,{\cdots},u_l){\in}P(n,l)$, denote its ith-coordinate by u(i), i.e., $u(i)=u_i$. A family $A{\subseteq}P(n,l)$ is said to be t-intersecting if ${\mid}\{i:u(i)=v(i)\}{\mid}{\geq}t$ for all $u,v{\epsilon}A$. A family $A{\subseteq}P(n,l)$ is said to be trivially t-intersecting if there is a t-set T of $[l]=\{1,2,{\cdots},l\}$ and elements $y_s{\in}\mathbb{N}_0(s{\in}T)$ such that $A=\{u{\in}P(n,l):u(j)=yj\;for\;all\;j{\in}T\}$. We prove that given any positive integers l, t with $l{\geq}2t+3$, there exists a constant $n_0(l,t)$ depending only on l and t, such that for all $n{\geq}n_0(l,t)$, if $A{\subseteq}P(n,l)$ is non-trivially t-intersecting, then $${\mid}A{\mid}{\leq}(^{n+l-t-l}_{l-t-1})-(^{n-1}_{l-t-1})+t$$. Moreover, equality holds if and only if there is a t-set T of [l] such that $$A=\bigcup_{s{\in}[l]{\backslash}T}\;A_s{\cup}\{q_i:i{\in}T\}$$, where $$A_s=\{u{\in}P(n,l):u(j)=0\;for\;all\;j{\in}T\;and\;u(s)=0\}$$ and $$q_i{\in}P(n,l)\;with\;q_i(j)=0\;fo\;all\;j{\in}[l]{\backslash}\{i\}\;and\;q_i(i)=n$$.

• Asia-Pacific Journal of Business
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• v.13 no.4
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• pp.135-149
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• 2022

Purpose - The primary objective of this article is to investigate the impact of U.S. monetary policy on institutional / individual / foreign investor reactions in the Korean stock market. Design/methodology/approach - This study employs a high frequency event study methodology to identify U.S. monetary policy shocks and quantify the impact of identified shocks on investor reactions. The dependent variable in the regression model is net stock purchase, while the explanatory variables are U.S. monetary policy shocks. The model is estimated for the period 2000-2019, including 156 FOMC meetings. Findings - Foreign investors immediately sell stocks in response to contractionary U.S. monetary shocks. They do not, however, react to anticipated changes in monetary policy rates, confirming the rationality of foreign investors. Individual investors demonstrate the opposite response, indicating that a non-trivial proportion of individual investors are irrational. Research implications or Originality - This study adds to the current literature on the effect of U.S. monetary policy on the Korean stock market. This study demonstrates a heterogeneous response to U.S. monetary policy shocks, validating the rational investment behavior of foreign investors, while individual investors exhibit a certain degree of irrationality. Methodologically, this study adds to the literature by quantifying the impact of U.S. monetary policy employing a sharper identification method allowing a simple and consistent estimation.