• Journal of the Korean Mathematical Society
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• v.58 no.6
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• pp.1385-1405
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• 2021

Let A be a positive bounded linear operator acting on a complex Hilbert space (𝓗, ⟨·,·⟩). Let ω_A(T) and ║T║_A denote the A-numerical radius and the A-operator seminorm of an operator T acting on the semi-Hilbert space (𝓗, ⟨·,·⟩_A), respectively, where ⟨x, y⟩_A := ⟨Ax, y⟩ for all x, y ∈ 𝓗. In this paper, we show with different techniques from that used by Kittaneh in [24] that $$\frac{1}{4}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A{\leq}{\omega}^2_A(T){\leq}\frac{1}{2}{\parallel}T^{{\sharp}_A}T+TT^{{\sharp}_A}{\parallel}_A.$$ Here T^#_A denotes a distinguished A-adjoint operator of T. Moreover, a considerable improvement of the above inequalities is proved. This allows us to compute the 𝔸-numerical radius of the operator matrix $\(\array{I&T\\0&-I}\)$ where 𝔸 = diag(A, A). In addition, several A-numerical radius inequalities for semi-Hilbert space operators are also established.

• Kyungpook Mathematical Journal
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• v.27 no.1
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• pp.55-60
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• 1987

A linear system $\dot{x}= A(t)x$, with A(t+w)=A(t) is considered. A step function approximation of a periodic matrix is constructed. The stability criteria is discussed.

• The Korean Journal of Mycology
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• v.27 no.4 s.91
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• pp.283-288
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• 1999

The effect of water activity ($a_w,\;0.9{\sim}0.995$) and temperature ($18{\sim}30^{\circ}$C) on in vitro growth and interactions between ochratoxin-producing Aspergillus ochraceus and six other fungi (Alternaria alternata, Aspergillus candidus, A. flavus, A. niger, Eurotium amstelodami, E. rubrum) isolated from maize grain were investigated. A. ochraceus and each six other species were paired and their interactions given a numerical score to obtain an index of dominance ($I_D$) for each species. Generally A. ochraceus was very competitive and dominant against other fungi. It was, however, dominanted by Alternaria alternata and A. niger at high $a_w\;(0.995\;a_w)$, and mutually antagonistic when paired with E. amstelodami and E. rubrum at low $a_w\;(0.9\;a_w)$. The growth rates of each species were also calculated under the same range of environmental conditions. They were markedly influenced by aw and temperature. At high temperature ($30^{\circ}C$), A. ochraceus grew most rapidly under slightly drier conditions ($0.95\;a_w$), while A. alternata, A. flavus and A. niger did at high water availability level ($0.995\;a_w$). At $18^{\circ}C\;and\;25^{\circ}C$, and high $a_w$ level ($0.995\;a_w$), A. alternata grew fastest, while A. candidus, E. amstelodami and E. rubrum grew very slowly. Using Biolog plates the effect of $a_w$ and temperature on utilization patterns of carbon sources in maize was evaluated. The niche overlap index (NOI) relative to A. ochraceus was determined and compared with that of each interacting species. Under high water available condition ($0.995\;a_w$). the NOI of A. ochraceus was often >0.9, indicative of the coexistence with other interacting species. However, against E. amstelodami and E. rubrum at $18^{\circ}C$, the species had NOI <0.8, indicative of occupation of different niches. At low $a_w\;(0.95\;a_w)$, NOI for A. ochraceus was <0.8 when paired with A. alternata and A. niger also suggested the occupation of different niches.

• Parasites, Hosts and Diseases
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• v.36 no.2
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• pp.69-80
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• 1998

Subgenus classification of Acanthcmoeba remains uncertain. Twenty-three reference strains of Acanthnmoeba including 18 (neo)type-strains were subjected for classification at the subgenus level by riboprinting, PCR/RFLP analysis of 185 rRNA gene (rDNA) . On the dendrogram reconstructed on the basis of riboprint analyses, two type- strains (A. astronwxis and A. tubinshi) of morphological group 1 diverged early from the other strains and were quite distinct from each other. Four type-strains of morphological group 3. A. culbertsoni, A. polestinensis, A. healyi were considered taxonomically valid, but A. pustulosn was regarded as an invalid synonym of A. pclestinensis. Strains of morphological group 2 were classified into 6 subgroups. Among them, A. giulni which has an intron in its 185 rDNA was the most divergent from the remaining strains. Acanthcmoebc ccstellanii Castellani, A. quinc Vil3, A. Iugdunensis L3a. A. poIyphage Jones, A. trinngularis SH621, and A. cqstellanii Ma strains belonged to a subgroup, A. castellanii complex. However, A. quinc and A. Lugnunensis were regarded as synonyms of A. ccstellanii. The Chang strain could be regarded as A. hatchetti. Acanthcmoebo nauritaniensis, A. niuionensis, A. paranivionensis could be considered as synonyms of A. rhwsodes. Neff strain was regarded as A. polyphage rather than as A. castellanii. It is likely that riboprinting can be applied for rapid identification of Acnnthcmoebc isolated from the clinical specimens and environments.

• Clinical and Experimental Pediatrics
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• v.46 no.4
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• pp.340-344
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• 2003

Purpose : We evaluated allele frequencies and distribution of surfactant protein A2(SP-A2) in Korean neonates in order to estimate the prevalence of RDS, to find out new SP-A alleles, and to establish new steroid therapy. Methods : Genomic DNA was extracted from 71 neonates and served as a template in PCR for genotype analysis. SP-A gene-specific amplications and gene-specific allele determinations were performed using PCR-cRFLP methods. Results : The distribution for the alleles of the SP-A2 gene in the study population was 1A, $1A^0$, $1A^1$, $1A^2$, $1A^3$, $1A^5$, $1A^6$, $1A^7$, $1A^8$, $1A^9$, $1A^{11}$, $1A^{12}$. The specific frequencies for the alleles of the SP-A2 gene in the study population were : 1A=11.3%, $1A^0=38%$, $1A^1=12.7%$, $1A^2=9.2%$, $1A^5=15.5%$, $1A^7=2.9%$, $1A^8=4.9%$, $1A^9=2.2%$, others=3.3%. Conclusion : The frequency of $1A^0$ was higher than the other SP-A2 alleles in Korean neonates. This finding suggests that the prevalence of RDS in Korea may be low compared with other countries. However, this finding also suggests that Korean neonates have a high risk of infection.

• Bulletin of the Korean Mathematical Society
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• v.22 no.1
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• pp.11-15
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• 1985

Manddelberg [9] has shown that a Clifford algebra of a free quadratic space over an arbitrary semi-local ring R in Brawer-Wall group BW(R) is determined by its rank, determinant, and Hasse invariant. In this paper, we prove a corresponding result when R is a full ring.Throughout this paper, unless otherwise specified, we assume that R is a commutative ring having 2 a unit. A quadratic space (V, B, .phi.) over R is a finitely generated projective R-module V with a symmetric bilinear mapping B: V*V.rarw.R which is non-degenerate (i.e., the natural mapping V.rarw.Ho $m_{R}$(V,R) induced by B is an isomorphism), and with a quadratic mapping .phi.: V.rarw.R such that B(x,y)=1/2(.phi.(x+y)-.phi.(x)-.phi.(y)) and .phi.(rx) = $r^{2}$.phi.(x) for all x, y in V and r in R. We denote the group of multiplicative units of R by U9R). If (V, B, .phi.) is a free rank n quadratic space over R with an orthogonal basis { $x_{1}$,.., $x_{n}$}, we will write < $a_{1}$,.., $a_{n}$> for (V, B, .phi.) where the $a_{i}$=.phi.( $x_{i}$) are in U(R), and denote the space by the table [ $a_{ij}$ ] where $a_{ij}$ =B( $x_{i}$, $x_{j}$). In the case n=2 and B( $x_{1}$, $x_{2}$)=1/2 we reserve the notation [a $a_{11}$, $a_{22}$] for the space. A commutative ring R having 2 a unit is called full [10] if for every triple $a_{1}$, $a_{2}$, $a_{3}$ of elements in R with ( $a_{1}$, $a_{2}$, $a_{3}$)=R, there is an element w in R such that $a_{1}$+ $a_{2}$w+ $a_{3}$ $w^{2}$=unit.TEX>=unit.t.t.t.

• The Research Journal of the Costume Culture
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• v.17 no.6
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• pp.992-1008
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• 2009

This study is to present a female high school summer blouse with high movement functionality and satisfying appearance. For the experimental research 6 subjects with closest average body shapes and their body surface was measured at beginning and after selecting a representative movement the tested uniform was worn and the appearance and movement functionality was evaluated. The results of this research are as follows. In the research with the aims to improve the sleeve designed the height in 3 types as A.H/4+3, A.H/4+2, A.H/4+1 and their evaluation showed that in the order of best appearance was A.H/4+2, A.H/4+1, A.H/4+3. In the order of best comfort was A.H/4+2, A.H/4+3, A.H/4+1 and the best order for movement functionality was A.H/4+1, A.H/4+2, A.H/4+3. Additional height types designed produced from elastic materials were A.H/4+3, A.H/4+2, A.H/4+1 and the resulting order of appearance was A.H/4+3, A.H/4+2, A.H/4+1, order of comfort was A.H/4+3, A.H/4+2, A.H/4+1 and the order of movement functionality was A.H/4+1, A.H/4+2, A.H/4+3. Integrating these results shows that in using the same concurrent materials, the experiment pattern of setting the sleeve height as A.H/4+2 was the best while in using elastic materials, the experiment pattern of setting the sleeve height as A.H/4+3 was the best.

• Journal of the Korean Institute of Educational Facilities
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• v.6 no.2
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• pp.13-23
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• 1999

This paper seeks to find out the policies of management and layout of middle school rooms for the community people's use. This paper surveys community's needs with respect to both the use of school rooms before, during, and after classes and preferences of use of school rooms. This paper adopts two experimental case studies to find out the models. It uses t-test analysis of the statistics to find out community people's preferences for the use of school rooms between two communities in an urban area, and uses simple and multiple regression analyses to develop models concerning community people's uses of school rooms before, during, and after classes. It also uses cluster analysis to find out the cluster among community people's preference of school rooms. It found, first, that community people's use of school rooms after class can be influenced by the uses of a play ground, a music classroom, an audio visual classroom, and a gymnasium. The use during regular classes is related to the uses of the fine arts classroom, a general classroom, a home economics classroom, a gymnasium, and a playground. The use before class is affected by the uses of a fine arts classroom, a playground, and a library. It also found that, with respect to community people's preferential use of school rooms, the rooms can be clustered as a cluster of laboratories such as a general classroom, a music room, a fine arts classroom, a science classroom, a home economics classroom, and a technique classroom, a cluster of athletic areas such as a gymnasium and a playground, and a cluster of supporting facilities such as a library, an audio visual classroom, and a computer classroom. Those clusters can also be clustered in more detail, i. e., that both a general classroom and playground can be apart from a cluster of laboratories or a cluster of supporting facilities; that an audio visual classroom can be fostered into a cluster with a home economics affairs classroom and a technique classroom. Finally this paper suggests policies of management and layout of school rooms.

• Journal of Nutrition and Health
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• v.24 no.3
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• pp.189-198
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• 1991

This study was performed to examine the effect of excess vitamin A feeding on lipid profile and vitamin A content of rats. 12 male Sprague-Dawley rats. weighing 114.1$\pm$0.9g, were divided into control and excess vitamin A group, and fed experimental diet for 6 weeks. In the excess vitamin A group, the level of vitamin A was 400, 000 1.U./kg diet(100 times of standard level). It was observed that vitamin A excess group had higher levels of plasma total lipid, total cholesterol, and trighlyceride and lower HDL ratio, indicating a high risk to coronary heart disease. In the liver, total CHOL and TG content were also high, and fatty liver was produced by excess Vitamin A. Vitamin A contents of organs were higher when excess vitamin A was given. These results suggested that excess vitamin A could be a dietary factor increasing the lipid contents of plasma and liver. Therefore, it could be said that vitamin A megadose can be one of the risk factors to coronary heart disease.

• Journal of applied mathematics & informatics
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• v.28 no.1_2
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• pp.325-331
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• 2010

Let a and b be nonnegative integers with 2 $\leq$ a < b, and let G be a Hamiltonian graph of order n with n > $\frac{(a+b-5)(a+b-3)}{b-2}$. An [a, b]-factor F of G is called a Hamiltonian [a, b]-factor if F contains a Hamiltonian cycle. In this paper, it is proved that G has a Hamiltonian [a, b]-factor if $\delta(G)\;\geq\;\frac{(a-1)n+a+b-3)}{a+b-3}$ and $\delta(G)$ > $\frac{(a-2)n+2{\alpha}(G)-1)}{a+b-4}$.