• Journal of the Korean Mathematical Society
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• v.58 no.5
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• pp.1147-1180
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• 2021

By considering the polynomial function 𝜙_car(z) = 1 + z + z²/2, we define the class 𝓢^*_car consisting of normalized analytic functions f such that zf'/f is subordinate to 𝜙_car in the unit disk. The inclusion relations and various radii constants associated with the class 𝓢^*_car and its connection with several well-known subclasses of starlike functions is established. As an application, the obtained results are applied to derive the properties of the partial sums and convolution.

• Journal of the Korean Mathematical Society
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• v.56 no.2
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• pp.439-455
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• 2019

Let ${\Sigma}_k(p)$ be the class of univalent meromorphic functions defined on the unit disc ${\mathbb{D}}$ with k-quasiconformal extension to the extended complex plane ${\hat{\mathbb{C}}}$, where $0{\leq}k<1$. Let ${\Sigma}^0_k(p)$ be the class of functions $f{\in}{\Sigma}_k(p)$ having expansion of the form $f(z)=1/(z-p)+{\sum_{n=1}^{\infty}}\;b_nz^n$ on ${\mathbb{D}}$. In this article, we obtain sharp area distortion and weighted area distortion inequalities for functions in ${\sum_{k}^{0}}(p)$. As a consequence of the obtained results, we present a sharp upper bound for the Hilbert transform of characteristic function of a Lebesgue measurable subset of ${\mathbb{D}}$.

• Journal of the Korean Mathematical Society
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• v.56 no.2
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• pp.289-309
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• 2019

This paper is intended as a discussion of some generalizations of the notion of a reversible ring, which may be obtained by the restriction of the zero commutative property from the whole ring to some of its subsets. By the INCZ property we will mean the commutativity of idempotent elements of a ring with its nilpotent elements at zero, and by ICZ property we will mean the commutativity of idempotent elements of a ring at zero. We will prove that the INCZ property is equivalent to the abelianity even for nonunital rings. Thus the INCZ property implies the ICZ property. Under the assumption on the existence of unit, also the ICZ property implies the INCZ property. As we will see, in the case of nonunital rings, there are a few classes of rings separating the class of INCZ rings from the class of ICZ rings. We will prove that the classes of rings, that will be discussed in this note, are closed under extending to the rings of polynomials and formal power series.

• Kyungpook Mathematical Journal
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• v.58 no.4
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• pp.697-709
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• 2018

In the present paper, we introduce and investigate two new subclasses, namely; the class of strongly ${\alpha}$-bi-spirallike functions of order ${\beta}$ and ${\alpha}$-bi-spirallike functions of order ${\rho}$, of the function class ${\Sigma};$ of normalized analytic and bi-univalent functions in the open unit disk $$U=\{z:z{\in}C\;and\;{\mid}z{\mid}<1\}$$. We find estimates on the coefficients ${\mid}a_2{\mid}$, ${\mid}a_3{\mid}$ and ${\mid}a_4{\mid}$ for functions in these two subclasses.

• Journal of Korean Elementary Science Education
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• v.38 no.3
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• pp.305-316
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• 2019

Most research on verbal interaction in school has used general frameworks, not including general sense that encompass 'elementary' and 'science'. Considering the current framework, we developed a new framework containing items such as safety and science terms. In this study, we compared 2 beginner teachers and 2 career teachers using new frameworks. After preliminary experiments, we recorded 4 classes per each person and recorded all interaction. It was revealed that the career teachers shows more convergent question and agreement to students. And in experimental class the career teachers give more attention for safety. This study may present that it is necessary for beginner teachers to be trained focusing differences.

• Honam Mathematical Journal
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• v.16 no.1
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• pp.119-135
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• 1994

Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

• Korean Journal of Air-Conditioning and Refrigeration Engineering
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• v.22 no.4
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• pp.225-233
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• 2010

We performed 3 dimensional numerical study on the improvement of the airflow deflection in the cleanroom of Class 1000, which is presently operated for the manufacturing process in Korea. The Deflection angle and the non-uniformity were investigated to analyze the airflow characteristics and the performance of cleanroom with variations of the cleanroom occupancy state, the filters' arrangement, and the floor return air system. From the numerical results, we found out that the airflow pattern of the cleanroom is more unidirectional and stable in the condition of at-rest than in the condition of as~built. It is due to that the equipments installed in the cleanroom play a role like partitions, which prevent the airflow from inclining toward the recirculation air duct. And it is needed to arrange the filter units parallel to the equipments array without a gap between them for maintaining the unidirectional airflow pattern. Finally, we knew that it is very important to install the partition like the eyelid above the equipment to keep the unidirectional airflow around the equipments and remove the contaminants quickly.

• Asia pacific journal of information systems
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• v.7 no.1
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• pp.99-111
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• 1997

This paper presents an application of an artificial neural net to the implementation of decision class analysis (DCA), together with the generation of a decision model influence diagram. The diagram is well-known as a good tool for knowledge representation of complex decision problems. Generating influence diagram model is known to in practice require much time and effort, and the resulting model can be generally applicable to only a specific decision problem. In order to reduce the burden of modeling decision problems, the concept of DCA is introduced. DCA treats a set of decision problems having some degree of similarityz as a single unit. We propose a method utilizing a feedforward neural net with supervised learning rule to develop DCA based on influence diagram, which method consists of two phases: Phase l is to search for relevant chance and value nodes of an individual influence diagram from given decision and specific situations and Phase II elicits arcs among the nodes in the diagram. We also examine the results of neural net simulation with an example of a class of decision problems.

• KEPCO Journal on Electric Power and Energy
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• v.3 no.2
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• pp.141-146
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• 2017

In this work, a simulation study on net 500 MW class of Poly-Generation was conducted for the retrofit of an aged natural gas combined cycle. An entrained gasifier which has a capacity of maximum $260,000Nm^3/h$, 50 MW class of a Polymer Electrolyte Membrane Fuel Cell, and H-class Gas Turbine were selected as key processes. After unit design for those employed processes was set up and combined, the simulation was carried out with Gate-Cycle software (Ver. 6.0) for two cases. The selected cases are a retrofit type (Poly-Gen 1) and a new type (Poly-Gen 2). It was found that the efficiency of the retrofit case is 2.7% lower than that of the new case.

• Korean Journal of Human Ecology
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• v.10 no.3
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• pp.303-315
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• 2001

The purpose of this study is to evaluate the housing unit and investigate needs of housing in Home Economics curriculum of Home Economics teachers. The questionnaire survey was conducted 98 teachers participated in the minor training course in Chungbuk, August of 2000. When the teachers made their class in the section of housing, they emphasized respectively as the textual order: the space of housing and family life, the utilization of space, clean of residing circumstance in the middle school: and in the high school there was also concerned to the textual order: choice of housing, the house planning, interior design, maintenance of house. The teachers focused into the arrange of furniture and interior design for the students in the class, drawing of a plan in the contents of practical experience and performance. According to the survey results, the main point of class in housing should be emphasized the arranging of own room and function of other spaces in house for the students in the middle school. The high school curriculum should focus on the practical area to connect with the interior design. And in the section of housing it was needed to add the contents of management in the multi-family housing, housing problems, neighborhood environment for elderly, and also community planning.