• Bulletin of the Korean Mathematical Society
• /
• v.47 no.3
• /
• pp.623-632
• /
• 2010

A holomorphic function F defined on the unit disc belongs to $A^{p,{\alpha}}$ (0 < p < $\infty$, 1 < ${\alpha}$ < $\infty$) if $\int\limits_U|F(z)|^p \frac{1}{1-|z|}(1+log)\frac{1}{1-|z|})^{-\alpha}$ dxdy < $\infty$. For boundedness of the composition operator defined by $C_{fg}=g{\circ}f$ mapping Blochs into $A^{p,{\alpha}$ the following (1) is a sufficient condition while (2) is a necessary condition. (1) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha}M_p(r,\lambda{\circ}f)^p\;dr$ < $\infty$ (2) $\int\limits_o^1\frac{1}{1-r}(1+log\frac{1}{1-r})^{-\alpha+p}(1-r)^pM_p(r,f^#)^p\;dr$ < $\infty$.

• Journal of computational fluids engineering
• /
• v.17 no.2
• /
• pp.65-70
• /
• 2012

The droplet ejection behavior from drop-on-demand printhead are investigated numerically in terms of the non-dimensional parameters. The numerical simulation is performed using a volume-of-fluid model. It is important to eject droplet within the printability range, where the droplet is ejected in stable manner without satellite droplets. Generally, the printability range has been determined by Z number, which is the inverse of Oh number. However, it is found that the ejection of droplets with same Z number can exhibit different behavior depending on the value of Ca and We number. Therefore, it is insufficient to determine the printability range only with Z number. Instead, other non-dimensional parameters, such as Ca and We number, should be considered comprehensively.

• Communications of the Korean Mathematical Society
• /
• v.28 no.2
• /
• pp.297-301
• /
• 2013

When certain general single or multiple hypergeometric functions were introduced, their reduction formulas have naturally been investigated. Here, in this paper, we aim at presenting a very interesting reduction formula for the Srivastava's triple hypergeometric function $F^{(3)}[x,y,z]$ by applying the so-called Beta integral method to the Henrici's triple product formula for hypergeometric series.

• Nutrition Research and Practice
• /
• v.7 no.2
• /
• pp.122-131
• /
• 2013

Based on data generated from 180 randomly selected households with children age under five years old in Aysaita district of Afar region of Ethiopia, this study explored prevalence of malnutrition and scrutinized household characteristics, maternal characteristics, specifics of the child and economic variables associated with child malnutrition. The height-for-age Z-scores (HAZ), weight-for-height Z-scores (WHZ) and weight-for-age Z-scores (WAZ) were used to measure the extent of stunting, wasting and underweight, respectively. The results revealed that prevalence of long term nutritional imbalance and malnutrition status indicator (i.e. stunting) was 67.8%. The short term measure (wasting) was found to be 12.8% and underweight was found to be 46.1%. Moreover, children in households which are headed by women, and characterized by more dependency ratio, less access to assets, health services and institutions are more likely to be undernourished.

• Korean Journal of Mathematics
• /
• v.28 no.2
• /
• pp.205-221
• /
• 2020

Paranormed spaces are important as a generalization of the normed spaces in terms of having more general properties. The aim of this study is to introduce a new paranormed space |𝜙_z|(p) over the paranormed space ℓ(p) using Euler totient means, where p = (p_k) is a bounded sequence of positive real numbers. Besides this, we investigate topological properties and compute the α-, β-, and γ duals of this paranormed space. Finally, we characterize the classes of infinite matrices (|𝜙_z|(p), λ) and (λ, |𝜙_z|(p)), where λ is any given sequence space.

• Communications of the Korean Mathematical Society
• /
• v.21 no.1
• /
• pp.65-74
• /
• 2006

In this paper, we will define the Bergman projection type operator Pr and find conditions on which the operator Pr is bound-ed on $L^p$(B, dv). By using the properties of the Bergman projection type operator Pr, we will show that if $f{\in}L_a^p$(B, dv), then $(1-{\parallel}{\omega}{\parallel}^2){\nabla}f(\omega){\cdot}z{\in}L^p(B,dv)$. We will also show that if $(1-{\parallel}{\omega}{\parallel}^2)\; \frac{{\nabla}f(\omega){\cdot}z}{},\;{\in}L^p{B,\;dv),\;then\;f{\in}L_a^p(B,\;dv)$.

• East Asian mathematical journal
• /
• v.33 no.3
• /
• pp.257-263
• /
• 2017

Let n be any positive integer and ${\mathbb{Z}}_n=\{0,1,{\cdots},n-1\}$ be the ring of integers modulo n. Let $X_n$ be the set of all nonzero, nonunits of ${\mathbb{Z}}_n$, and $G_n$ be the group of all units of ${\mathbb{Z}}_n$. In this paper, by investigating the regular action on $X_n$ by $G_n$, the following are proved : (1) The number of orbits under the regular action (resp. the number of annihilators in $X_n$) is equal to the number of all divisors (${\neq}1$, n) of n; (2) For any positive integer n, ${\sum}_{g{\in}G_n}\;g{\equiv}0$ (mod n); (3) For any orbit o(x) ($x{\in}X_n$) with ${\mid}o(x){\mid}{\geq}2$, ${\sum}_{y{\in}o(x)}\;y{\equiv}0$ (mod n).

• Journal of international Conference on Electrical Machines and Systems
• /
• v.1 no.2
• /
• pp.46-52
• /
• 2012

This paper proposes a novel single-phase ac-ac converter topology based on the Z-source concept. The converter provides buck-boost function and plays the role of frequency changer. Compared to the traditional ac-dc-ac converter, it uses fewer devices, realizes direct ac-ac power conversion, and has a simpler circuit structure, so as to have higher efficiency and better circuit characteristics. Compared to the traditional matrix converter, it provides a wider voltage regulation range. The circuit topology, operating principle, control method and simulation results are given in this paper, and the rationality and feasibility is verified.

• Proceedings of the Korean Society for Technology of Plasticity Conference
• /
• 2006.05a
• /
• pp.304-307
• /
• 2006

A plane stress yield function YLD2000(Yoon et al., 2000) is applied to the finite element analysis S/W Z-Stamp because it is required to conduct proper consideration of aluminum alloy which has anomalous behavior. In the previous study, verification of the yield function and developed S/W is implemented. In this paper, two real parts of automobile body are additionally considered to verify the validity of Z-Stamp. The one is the benchmark problem #2 of Numisheet 2005 and the other is a small member part. In case of benchmark problem, formability simulation result and try-out result are compared with each other. In case of the small member part, formability analysis is implemented to predict the problem during the developing time.

• Proceedings of the Korean Nuclear Society Conference
• /
• 1998.05b
• /
• pp.929-934
• /
• 1998

KT(KAERI Tokamak) 장치의 언저리 영역에서 삼중정전탐침을 이용하여 플라즈마밀도, 전자온도 및 부유(floating)전압을 측정하였다. 토카막 방전조건에 따라 고정된 위치에서의 측정값들은 시간에 대한 변화를 보였다. 특히 플라즈마 밀도 값 <η$_{e}$>은 약 두 배까지의 시간에 따른 변화 폭을 보였다. 반면에 밀도 섭동량(fluctuation) $\delta$η$_{e}$/<η$_{e}$>은 다른 섭동량과 마찬가지로 거의 일정한 값을 나타냈다. z 방향에 대해 측정한 proafile 결과는 모두 z/a에 따라 감소하였으며, 반면에 섭동량은 증가하는 경향을 나타냈다. 부유전압 및 압력구매에 의하여 발생되는 poloidal 방향의 drift속도를 profile 결과로부터 얻었으며, 언저리 영역에서 섭동량은 이온 diamagnetic 방향으로 최대 + 2 $\times$$10^{5}$ cm/sec의 속도로 이동함을 예상할 수 있었다 섭동량 자체에 의해 유기되는 전기장 \ulcorner(equation omitted) 로부터, 반경방향으로 이동되는 속도는 측정한 부유전압의 섭동량에 대한 z 방향 profile로부터 언저리 영역에서 $\upsilon$$_{r}$가 최대 + 1.2 $\times$ $10^{5}$ cm/sec가 됨을 알 수 있었다. 언저리 영역에서 섭동량이 장치 벽쪽으로 이동하는 정도를 진행 속도 값으로부터 예상할 수 있었다.있었다.