• 충청수학회지
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• 제29권4호
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• pp.613-629
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• 2016

In this paper, we introduced the notion of multiplier of Boolean algebras and discuss related properties between multipliers and special mappings, like dual closures, homomorphisms on B. We introduce the notions of xed set $Fix_f(X)$ and normal ideal and obtain interconnection between multipliers and $Fix_f(B)$. Also, we introduce the special multiplier ${\alpha}_p$a nd study some properties. Finally, we show that if B is a Boolean algebra, then the set of all multipliers of B is also a Boolean algebra.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제29권1호
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• pp.113-124
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• 2022

In this paper, we plan to introduce the class of the analytic functions called 𝒫 (b) and to investigate the various properties of the functions belonging this class. The modulus of the second coefficient c₂ in the expansion of f(z) = z+c₂z²+… belonging to the given class will be estimated from above. Also, we estimate a modulus of the second angular derivative of f(z) function at the boundary point 𝛼 with f'(𝛼) = 1 - b, b ∈ ℂ, by taking into account their first nonzero two Maclaurin coefficients.

• Nonlinear Functional Analysis and Applications
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• 제27권2호
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• pp.309-322
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• 2022

In this paper, we introduce the notion of a new generalized type of rational F-contraction mapping. Further, the concept is used to obtain fixed points in a complete b-metric space. We also prove another unique fixed point theorem in the context of b-metric space. Our results are verified with example.

• 대한수학회논문집
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• 제38권3호
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• pp.837-846
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• 2023

In this paper, we firstly construct a Hsu-B manifold and give some basic results related to it. Then, we address a semi-symmetric metric F-connection on the Hsu-B manifold and obtain the curvature tensor fields of such connection, and study properties of its curvature tensor and torsion tensor fields.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제31권1호
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• pp.103-117
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• 2024

In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.

• 공업화학
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• 제9권3호
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• pp.372-376
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• 1998

Pd를 지지체에 담지시킨 촉매($Pd/AlF_3$, $Pd/{\gamma}-Al_2O_3$)와 고체산촉매(${\gamma}-Al_2O_3$, ${\alpha}-Al_2O_3$, $AlF_3$)를 제조한 후 수소분위기에서 HCFC-142b(1-chloro-1,1-difluoroethane)의 탈염소반응을 수행하여 반응온도, 수소/HCFC-142b의 공급비(r) 및 Pd담지량 변화가 HFC-143a(1,1,1-trifluoroethane)와 HFC-152a(1,1-difluoroethane)로의 선택도에 미치는 영향을 조사하였다. 실험결과 $Pd/AlF_3$와 $Pd/{\gamma}-Al_2O_3$촉매에 의한 전환율은 각각 60%와 92%였고, 생성가스 중에서 HFC-143a로의 선택도는 각각 58%와 64%였다. 이때 최적반응조건은 반응온도, $200^{\circ}C$, 공간시간 1.05s, 수소/HCFC-142b의 공급비가 3이었다. 한편, 동일 조건하에서 ${\gamma}-Al_2O_3$와 ${\alpha}-Al_2O_3$, 그리고 $AlF_3$촉매에 의한 HCFC-142b의 생성가스로의 전환율은 각각 12%, 8%와 7%였고, 생성가스중 HFC-152a로의 선택도는 각각 94%, 92%와 90%였다.

• 대한수의학회지
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• 제33권4호
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• pp.591-596
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• 1993

The smear preparations of the semen from Korean native bull and the tissue preparations of the organs from male and female mice were performed by fluorescent staining method. More than 600 spermatozoa per straw from two semen straw groups and more than 300 cells per mouse organ from two mice per sex were observed and then the ratio of spermatozoa bearing B-body and the cells bearing F-body were assessed, respectively. 1. The ratios of spermatozoa bearing B-body in semen of Korean native bull were $37.3{\pm}3.1%$. 2. The ratios of cells bearing F-body in the organs of mice were $63.5{\pm}4.5%$ in male tissues and $7.5{\pm}3.2%$ in female tissues. 3. The organs with higher appearance frequency of F-body were ordered as brain, kidney, stomach, lung, testis, liver, small intestine, spleen and pancreas in male mice and pancreas, small intestine, liver, brain, kidney, lung, spleen and stomach in female mice.

• 자연과학논문집
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• 제11권1호
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• pp.45-54
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• 1999

4-NQO에 대한 감수성을 이용한 A.nidulans uvs 유전자들의 epistatic grouping은 자외선 및 MMS의 감수성을 이용한 grouping과 동일한 결과를 보였다. 한편, MMS에 대한 감수성을 기준으로 분류한 epistasis group에서 uvsA는 UvsF group 유전자인 uvsF 및 uvsH와 synergistic interaction을 보였으며, uvsA;uvsB 및 uvsA;uvsC 이배체는 uvsB, uvsC의 반수체와 동일한 감수성을 나타내었다. Germination한 뒤 4시간 후의 자외선 감수성을 기준으로 한 uvsI의 epistatic grouping은 conidia 상태에서 자외선을 쬐어 조사한 grouping과 유사하여, uvsH, uvsC, uvsB와 synergistic interaction을 보였다. 하지만, quiescent conidia 상태에서의 additive effect를 보인 uvsI와 uvsF 돌연변이체는 4h germination 후에는 epistatic interaction을 나타내었다. uvsI 돌연변이체의 Intergenic-intragenic recombination frequency는 야생주와 유사하였다.

• 대한수학회보
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• 제54권6호
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• pp.1981-1990
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• 2017

Let R be a root system in $\mathbb{R}^d$ with Coxeter-Weyl group W and let k be a nonnegative multiplicity function on R. The generalized volume mean of a function $f{\in}L^1_{loc}(\mathbb{R}^d,m_k)$, with $m_k$ the measure given by $dmk(x):={\omega}_k(x)dx:=\prod_{{\alpha}{\in}R}{\mid}{\langle}{\alpha},x{\rangle}{\mid}^{k({\alpha})}dx$, is defined by: ${\forall}x{\in}\mathbb{R}^d$, ${\forall}r$ > 0, $M^r_B(f)(x):=\frac{1}{m_k[B(0,r)]}\int_{\mathbb{R}^d}f(y)h_k(r,x,y){\omega}_k(y)dy$, where $h_k(r,x,{\cdot})$ is a compactly supported nonnegative explicit measurable function depending on R and k. In this paper, we prove that for almost every $x{\in}\mathbb{R}^d$, $lim_{r{\rightarrow}0}M^r_B(f)(x)= f(x)$.

• 대한수학회논문집
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• 제20권2호
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• pp.339-350
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• 2005

We obtain the following two inequalities on a strongly pseudoconvex domain $\Omega\;in\;\mathbb{C}^n\;:\;for\;f\;{\in}\;O(\Omega)$ $$\int_{0}^{{\delta}0}t^{a{\mid}a{\mid}+b}M_p^a(t, D^{a}f)dt\lesssim\int_{0}^{{\delta}0}t^{b}M_p^a(t,\;f)dt\;\int_{O}^{{\delta}O}t_{b}M_p^a(t,\;f)dt\lesssim\sum_{j=0}^{m}\int_{O}^{{\delta}O}t^{am+b}M_{p}^{a}\(t,\;\aleph^{i}f\)dt$$. In [9], Shi proved these results for the unit ball in $\mathbb{C}^n$. These are generalizations of some classical results of Hardy and Littlewood.