• 대한수학회논문집
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• 제18권3호
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• pp.469-479
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• 2003

Let B be the open unit ball in $C^{n}$ and ${\mu}_{q}$(q > -1) the Lebesgue measure such that ${\mu}_{q}$(B) ＝ 1. Let ${L_{a,q}}^2$ be the subspace of ${L^2(B,D{\mu}_q)$ consisting of analytic functions, and let $\overline{{L_{a,q}}^2}$ be the subspace of ${L^2(B,D{\mu}_q)$) consisting of conjugate analytic functions. Let $\bar{P}$ be the orthogonal projection from ${L^2(B,D{\mu}_q)$ into $\overline{{L_{a,q}}^2}$. The little Hankel operator ${h_{\varphi}}^{q}\;:\;{L_{a,q}}^2\;{\rightarrow}\;{\overline}{{L_{a,q}}^2}$ is defined by ${h_{\varphi}}^{q}(\cdot)\;=\;{\bar{P}}({\varphi}{\cdot})$. In this paper, we will find the necessary and sufficient condition that the little Hankel operator ${h_{\varphi}}^{q}$ is bounded(or compact).

• 한국응용약물학회:학술대회논문집
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• 한국응용약물학회 1994년도 춘계학술대회 and 제3회 신약개발 연구발표회
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• pp.308-308
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• 1994

열분석 (DSC, TG/DTA)을 통해 Q-35는 A, B, C의 세가지 다형이 존재함을 알수 있었으며 이중 상대습도에 따른 흡습성의 변화가 적고, 가습에 의해 다형전환이 일어나지 않는 C형이 제제에 유리하다고 사료된다. 또한C형은 분쇄, 연합 및 타정에 의한 다형의 전환이 없었다. Q-35의 용해도는 물, 메탄올, 에탄올에 각각 0.30.3.55,6.31mg/m1 이었으며 PH5이상에서는 급격히 용해도가 감소하고 산성에서는 용해도가 크게 증가하는 양상을 나타냈다. 적층시험, 배합시험을 통해 선정한부형제의 표준 처방 혼합물로 정제를 저조한 결과Q-35의 성형성은 양호하였고 Q-35의 함량이 증가함에 따라 붕해시간이 다소 지 연됨을 알수 있었다. 그러나 Q-35원료는 유동성이 적어 직타법이 적합하지 않았으며, 습식 과립압축법에 따라 저조한 정제의 붕해시간은 5-9분, 15분 후 용출은 91.$\pm$5.0% 이었다. Q-35정제를 4$0^{\circ}C$, 4$0^{\circ}C$ ㆍ 75%RH에서 6개월, 6$0^{\circ}C$에서 3개월 보존후 함량을 측정한 결과 각각 100.0, 98.7, 98.9%이었으며 그밖의 항목에서도 안정한 결과를 얻어 Q-35정제는 온도 및 습도어 안정한 것으로 사료된다. 대량생산 연구결과 Q-35의 결정수가 이탈되지 않도록 건조, 코팅 공정 중 정제의 온도를 5$0^{\circ}C$ 이하로 유지시켰다.

• 산업공학
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• 제25권2호
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• pp.241-254
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• 2012

This paper studies the relationship between SCM(Supply Chain Management) metrics and corporate value (Tobin's Q) for manufacturing and wholesale/retail firms in Korea. Specifically, the multiple regression analysis is used to investigate the relationships 1) between inventory level, inventory turns, and days of inventory and Tobin's Q and 2) between cash-to-cash (C2C) cycle time including its components such as days of inventory, days sales outstanding, and days payable outstanding and Tobin's Q. The results indicate that there exist statistically significant negative relationships between inventory levels and days of inventory (DOI) and Tobin's Q. Also, we found that there exist commonly known negative correlations between days of raw materials inventory and days of work in process (WIP) inventory and Tobin's Q. For the C2C cycle time, we found that there -exists a statistically significant negative relationship between the C2C cycle time and Tobin's Q. Also, we found that there exist commonly known correlations between the two components of C2C cycle time and Tobin's Q such as the negative for DOI and days sales outstanding. This study clearly shows the negative relationship in general between inventory levels and corporate value and between C2C time and corporate value, and this kind of result has not been found by previous studies in Korea.

• 대한수학회논문집
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• 제20권3호
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• pp.467-485
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• 2005

Let p and q be odd primes with p=2q+1. We study the number of solutions of congruence equations $ax^i\;+\;by^j\;{\equiv}\;c$ (mod p) and a$ax^i\;+\;by^j\;+\;dz^t\;{\equiv}\;c(modp)$

• 대한수학회보
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• 제50권1호
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• pp.105-116
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• 2013

In this paper, we consider the positive solution to a Cauchy problem in $\mathbb{B}^N$ of the fast diffusive equation: ${\mid}x{\mid}^mu_t={div}(\mid{\nabla}u{\mid}^{p-2}{\nabla}u)+{\mid}x{\mid}^nu^q$, with nontrivial, nonnegative initial data. Here $\frac{2N+m}{N+m+1}$ < $p$ < 2, $q$ > 1 and 0 < $m{\leq}n$ < $qm+N(q-1)$. We prove that $q_c=p-1{\frac{p+n}{N+m}}$ is the critical Fujita exponent. That is, if 1 < $q{\leq}q_c$, then every positive solution blows up in finite time, but for $q$ > $q_c$, there exist both global and non-global solutions to the problem.

• 대한수학회보
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• 제47권2호
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• pp.319-339
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• 2010

In this paper, we prove that if $f^nf'\;-\;P$ and $g^ng'\;-\;P$ share 0 CM, where f and g are two distinct transcendental meromorphic functions, $n\;{\geq}\;11$ is a positive integer, and P is a nonzero polynomial such that its degree ${\gamma}p\;{\leq}\;11$, then either $f\;=\;c_1e^{cQ}$ and $g\;=\;c_2e^{-cQ}$, where $c_1$, $c_2$ and c are three nonzero complex numbers satisfying $(c_1c_2)^{n+1}c^2\;=\;-1$, Q is a polynomial such that $Q\;=\;\int_o^z\;P(\eta)d{\eta}$, or f = tg for a complex number t such that $t^{n+1}\;=\;1$. The results in this paper improve those given by M. L. Fang and H. L. Qiu, C. C. Yang and X. H. Hua, and other authors.

• 대한수학회지
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• 제39권2호
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• pp.277-287
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• 2002

Let B be the open unit ball with center 0 in the complex space $C^n$. For each q>0, B$_{q}$ consists of holomorphic functions f : B longrightarrow C which satisfy sup z $\in$ B $(1-\parallel z \parallel^2)^q\parallel\nabla f(z)\parallel < \infty$ In this paper, we will show that functions in weighted Bloch spaces $B_{q}$ (0 < q < 1) satifies the following Lipschitz type result for Bergman metric $\beta$: ｜f(z)-f($\omega$)｜< $C\beta$(z, $\omega$) for some constant C.

• 호남수학학술지
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• 제45권3호
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• pp.542-554
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• 2023

Given a real number α, the Lagrange number of α is the supremum of all real numbers L > 0 for which the inequality |α - p/q| < (Lq²)^-1 holds for infinitely many rational numbers p/q. All Lagrange numbers less than 3 can be arranged as a set {l_p/q : p/q ∈ ℚ ∩ [0, 1]} using the Farey index. The present paper considers a function C(α) devised from Sturmian words. We demonstrate that the function C(α) contains all information on Lagrange numbers less than 3. More precisely, we prove that for any real number α ∈ (0, 1], the value C(α) - C(0) is equal to the sum of all numbers 3 - l_p/q where the Farey index p/q is less than α.

• 동아시아식생활학회지
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• 제14권5호
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• pp.425-437
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• 2004

Medicinal plants are of great importance in providing healthcare to a large portion of the population in Korea. A number of plants are described in Dong-Ui-Bo-Gam for use in the treatment of allergic disorders, namely psoriasis, eczema, bronchial asthma, etc. In this study, we evaluated the effect of AllerQ, which is multi-complexes of various plants extracts such like Mori folium, Scutellaria baicallensis, Glycyrrhiza uralnsis, Mentha sacharinensis and Poncirus trifoliata on compound 48/80 induced anaphylactic shock, ovalbumin induced asthma in vivo and anti-IgE antibody induced hypersensitivity in vitro. We found antianaphylactic or antiallergic properties of AllerQ when given orally. AllerQ for prophylactic treatment for anaphylactic shocks have produced good results. AllerQ may modulate various aspects of immune function and allergic inflammation. In the present study, we analyse the effects of AllerQ on mast cell degranulation, mortality, cAMP/cGMP, O₂, H₂O₂ level, cyokine production and on the elicitation of IgE-mediated mast cell-dependent allergic inflammation in vivo and in vitro. We have established that AllerQ inhibited histamine release, cAMP/cGMP, O₂, H₂O₂ level, IL-4, tumor necrosis factor-alpha(TNF-α) and IL-6 production without having any significant physical change. These effects have been observed in mast cell(in vitro) and serum(in vivo) derived from three different origins that were activated by either immunological or non-immunological stimuli. These results suggest that the antianaphylactic and antiasthma tic action of AllerQ may be associated with an increase in the intracellular inhibition of the cAMP phosphodiesterase. Furthermore, AllerQ identified as potent inhibitors on O₂, H₂O₂ and cytokine activity. these data suggest that AllerQ may have an inhibitory role in mast cell-mediated allergic inflammation, and thus might be considered as an useful functional food.

• 대한수학회보
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• 제51권5호
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• pp.1369-1374
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• 2014

We show that the Diophantine equation $$aQ(x_1,x_2)+bQ(x_3,x_4)+cQ(x_5,x_6)=abc$$ has integral solutions for arbitrary positive integers a, b, c when Q(x, y) is a norm form for some imaginary quadratic fields.