• 대한수학회지
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• 제55권1호
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• pp.29-42
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• 2018

We construct bounded linear integral operators that giving solutions to the ${\bar{\partial}}$-equation in $L^p$-spaces and with compact supports on a q-convex intersection ($q{\geq}1$) with ${\mathcal{C}}^3$ boundary in $K{\ddot{a}}hler$ manifolds, and we apply it to obtain a Hartogs-like extension theorems for ${\bar{\partial}}$-closed forms for some bidegree.

• 대한수학회논문집
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• 제33권2호
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• pp.535-547
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• 2018

In the present investigation our main aim is to give lower bounds for the ratio of some normalized q-Bessel functions and their sequences of partial sums. Especially, we consider Jackson's second and third q-Bessel functions and we apply one normalization for each of them.

• 대한수학회보
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• 제57권2호
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• pp.345-354
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• 2020

In this paper, we first give some representations for four new mock theta functions defined by Andrews [1] and Bringmann, Hikami and Lovejoy [5] using divisor sums. Then, some transformation and summation formulae for these functions and corresponding bilateral series are derived as special cases of ₂𝜓₂ series $${\sum\limits_{n=-{{\infty}}}^{{\infty}}}{\frac{(a,c;q)_n}{(b,d;q)_n}}z^n$$ and Ramanujan's sum $${\sum\limits_{n=-{{\infty}}}^{{\infty}}}{\frac{(a;q)_n}{(b;q)_n}}z^n$$.

• 대한수학회보
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• 제51권5호
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• pp.1411-1423
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• 2014

For BMO, it is well known that $VMO^{**}=BMO$. In this paper such duality results of $Q_K$-type spaces are obtained which generalize the results by M. Pavlovi$\acute{c}$ and J. Xiao.

• 대한수학회보
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• 제53권5호
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• pp.1291-1308
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• 2016

In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for intersection of two complex ellipsoids {$z{\in}\mathbb{C}^3:{\mid}z_1{\mid}^p+{\mid}z_2{\mid}^q$ < 1, ${\mid}z_1{\mid}^p+{\mid}z_3{\mid}^r$ < 1}. We consider cases p = 6, q = r = 2 and p = q = r = 2. We also investigate the Lu Qi-Keng problem for p = q = r = 2.

• 한국농공학회:학술대회논문집
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• 한국농공학회 1999년도 Proceedings of the 1999 Annual Conference The Korean Society of Agricutural Engineers
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• pp.701-707
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• 1999

This study was initiated to collect background pollutant data for rural watersheds. The effluent/run-off polutant load and run-off ratio of the study areas were calculated and the two types of regression equations, L=a$.$Q+b and L=c$.$Qd where L and Q are the pollutant load(L) and discharge (Q), were derived. We acquired that the correlation coeffcients of the two types of regression equations were over than 90% except for BOD . Therefore, L-Q equations would be a measure to predict water quality of rural watersheds.

• 충청수학회지
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• 제14권2호
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• pp.37-46
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• 2001

In this paper, weighted Bloch spaces $\mathcal{B}_q$ are considered on the open unit ball in $\mathbb{C}^n$. In this paper, we will show that every Bloch function in $B_q$ induces a bounded linear functional on $L^1_a(\mathcal{B})$.

• 한국자기학회지
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• 제10권1호
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• pp.30-36
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• 2000

Q switch mode 혹은 Fixed Q mode Nd-YAG 레이저 어블레이션법으로 (100)Si 기판위에 SmCo 박막을 증착하였다. 증착시 Sm$_{100-x}$Co$_{x}$ (73$\leq$x$\leq$93) 조성의 타겟을 사용하였고, 기판온도는 600~$700^{\circ}C$ 변화시켰으며 각 mode 에너지를 조절하였다. Q switching mode로 증착된 박막의 4$\pi$Ms, $_{i}$H$_{c}$ 및 4$\pi$M$_{r}$/4$\pi$M$_{s}$는 각각 5.2~7.7 kG, 190~250 Oe, 0.4~O.74이었다. 반면, Fixed Q mode로 얻어진 박막의 $_{i}$H$_{c}$, 4$\pi$M$_{r}$/4$\pi$M$_{s}$는 각각 430~6290 Oe, 0.32~0.91로 훨씬 양호한 경자기 특성이 나타났다. 후자의 자기특성은 박막에 존재하는 입자(droplet)내 SmCo$_{5}$ 와 Sm$_2$Co$_{17}$상의 생성에 의한 것으로 판단된다. 입자의 존재로 인한 박막표면의 거칠기는 향후 연구에서 해결되어야 할 문제점으로 확인되었다.문제점으로 확인되었다.었다.

• 대한전기학회논문지:전기물성ㆍ응용부문C
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• 제53권2호
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• pp.67-72
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• 2004

The microwave dielectric properties and microstructure of the (1-x)$Mg_4Ta_2O_{9-x}TiO_2$(X=0, 0.3, 0.4) ceramic were, investigated. The specimens were prepared by the conventional mixed oxide method with sintering temperature of $1350^{\circ}C$∼$1425^{\circ}C$. According to the XRD patterns, the (1-x)$Mg_4Ta_2O_{9-x}TiO_2$(X=0, 0.3, 0.4) ceramics have the $Mg_4Ta_2O_{9}$ phase(hexagonal). The dielectric constant($\varepsilon$$_{\gamma}$) and density increased with sintering temperature and mole fraction of x. To improve the quality factor and the temperature coefficient of resonant frequency, TiO$_2$($\varepsilon_{r}$=100, $Q{\times}f_{r}$=40,000GHz, $\tau$$_{f}$=＋450 ppm/$^{\circ}C$) was added in $Mg_4Ta_2O_{9}$ ceramics. In the case of the $0.7Mg_4Ta_2O_{9}$-$0.3TiO_2$ and the $0.6Mg_4Ta_2O_{9}$-$0.4TiO_2$ceramics sintered at $1400^{\circ}C$ for 5hr., the microwave dielectric properties were $\varepsilon$$_{\gamma}$=11.72, $Q{\times}f_{r}$=126,419GHz, $\tau_{f}$=-31.82 ppm/$^{\circ}C$ and $\varepsilon_{r}$=12.19, $Q{\times}f_{r}$=109,411GHZ, $\tau$$_{f}$= -17.21 ppm/$^{\circ}C$, respectively.

• 한국통신학회논문지
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• 제32권9C호
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• pp.810-819
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• 2007

90도 위상 천이기나 필터와 같은 불완전한 시스템 요소에 의해 생성되는 I(inphase)축과 Q(quadrature)축 간의 불균형은 피할 수 없는 물리적 현상으로 동기 변/복조 시스템(coherent modulation/demodulation system) 구현에 있어서 성능 열화를 유발한다. 본 논문에서는 AWGN (additive white Gaussian noise) 채널 환경에서 수신기의 I/Q 불균형이 존재하는 경우, DVB(digital video broadcasting)-S2 시스템에서 사용되는 변조방식에 대한 정확하고 일반화된 심벌 오류 확률을 2차원 결합 가우시안 Q-함수(two-dimensional joint Gaussian Q-function)의 선형 결합(linear combination)의 형태로 유도한다.