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HYPERSURFACES IN THE UNIT SPHERE WITH SOME CURVATURE CONDITIONS

  • Park, Joon-Sang
    • Communications of the Korean Mathematical Society
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    • v.9 no.3
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    • pp.641-648
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    • 1994
  • Let M be a minimally immersed closed hypersurface in $S^{n+1}$, II the second fundamental form and $S = \Vert II \Vert^2$. It is well known that if $0 \leq S \leq n$, then $S \equiv 0$ or $S \equiv n$ and totally geodesic hypersheres and Clifford tori are the only possible minimal hypersurfaces with $S \equiv 0$ or $S \equiv n$ ([6], [2]). From these results, Chern suggested some questions on the study of compact minimal hypersurfaces on the sphere with S =constant: what are the next possible values of S to n, and does in the ambient sphere\ulcorner By the way, S is defined extrinsically but, in fact, it is an intrinsic invariant for the minimal hypersurface, i.e., S = n(n-1) - R, where R is the scalar, curvature of M. Some partial answers have been obtained for dim M = 3: Assuming $M^3 \subset S^4$ is closed and minimal with S =constant, de Almeida and Brito [1] proved that if $R \geq 0$ (or equivalently $S \leq 6$), then S = 0, 3 or 6, Peng and Terng ([5]) proved that if M has 3 distint principal curvatures, then S = 6, and in [3] Chang showed that if there exists a point which has two distinct principal curvatures, then S = 3. Hence the problem for dim M = 3 is completely done. For higher dimensional cases, not much has been known and these problems seem to be very hard without imposing some more conditions on M.

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A Study on the Anxiety of Open Heart Surgery Patient's Family (개심술 환자 가족의 불안에 관한 연구)

  • Choi, Young-Hee
    • The Korean Nurse
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    • v.31 no.5
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    • pp.29-38
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    • 1992
  • The purpose of this is to find the anxiety score of OHS pt's family and general surgery pt's family and to offer basic data. The subjects of this study were 80 : 40 were OHS pt's family in Seoul Hospital and remaining 40 were OS pt's family in Capital Hospital. The data was collected between March 1, through May 30, 1992. The instruments used for this study were Zung's The Self-Rating Anxiety Scale. The collected daLa were analyzed using percentage, descriptive statistics, $X^2-test$, t-test and Two-way Anova. The finding's were as followed: 1. Test of hypothesis "The anxiety score of the Ol-lS pt's family were similar to as pt's family" was rejected (L=0.772 P>.05) 2. The mean score of anxiety of the OHS pt's family was 1.772, The mean score of anxiety of the OS pt's family was 1,790. 3. The relationship between anxiety of the OHS pt's family and GS pt's family and family's age was significant (P<.Ol) and the relationship between anxiety and age interaction effect. (F=242.0 P<.01) In conclusion, the anxiety score of the OI-IS pt's finding and GS pt's family was all high.

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Serological Distribution and Antibiotic Susceptibility of Salmonella sp. Isolated from Pusan Area in 2000 (2000년도 부산지역에서 분리된 살모넬라속균의 혈청학적 분포 및 항균제 감수성)

  • 차인호;민상기;박은희;김미희;진성현;박지현;이영숙;이상훈
    • Journal of Life Science
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    • v.11 no.3
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    • pp.266-272
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    • 2001
  • A total of 79 Salmonella spp. were isolated from Pusan area in 2000. The serotypes of 79 Salmonella isolates were classified as 42 strains of S. typhi(53.1%), 24 strains of S. enteritidis(30.4%), 9 strains of S. montevideo(11.4%), 2 strains of S. typhimurium(2.5%), 1 strain of S. infantis(1.3%) and 1 strain of S. indiana(1.3%) strains(16.5%) of Salmonella sp. were isolated at May July, respectively. The isolates of S. typhi were sensitive to most sntibiotics except streptomycin. All isolates of S. typhi were especially sensitive to tobramycin, gentamicin, colistin, kanamycin, samikacin, sulfamethozazole/ trimethoprim, cefriaxone, ceftazdime, cifrofloxacin, cefoxitin and cefotaxime. Isolates of S. enteritidis wer presented higher resistance than isolates of S. typhi. Twenty-four strains of S. enteritidis were sensitive to kanamycin, amikacin cifrofloxacin, cefoxitin and cefotaxime, however 13 strains(54.2%) of S. enteritidis were resistant to carbenicillin, ampicillin and ticarcillin. Nine strains of S. montevideo were sensitive to most antibiotics except carbenicillin and streptomycin. Each 1 stain of S. indiana and S. infantis was sensitive to most antibiotics used in this study except streptomycin. Three kinds of resistant pattern (CB, SM, TE, AM, TC). In the case of S. enteritidis isolates, 9 kinds resistant pattern were detected. Most frequent resistant pattern of S. enteritidis isolates was CB, AM, TC type(16.7%)

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Effects of the Enterprise Image in Korean Processed Marine Product Industry on Consumers' Product Evaluation and Purchase Intention (한국 수산물 가공식품기업의 이미지가 제품 평가 및 구매의도에 미치는 영향)

  • So, Won-Hyun;Kim, Ha-Kyun
    • The Journal of Fisheries Business Administration
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    • v.44 no.1
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    • pp.1-14
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    • 2013
  • The purpose of this study is examining an influence of a corporate on processed marine product's purchase intention with moderating effect of consumers' product evaluation adding processed marine product's evaluations as new variable. The hypothesis of a positive influence of processed marine product's corporate image on processed marine product's purchase intension is partially supported. Specifically, product itself, service, reliability, and communication among the factors of a processed marine product's corporate image significantly affect processed marine product's purchase intension whereas corporate social responsibility does not affect processed marine product's purchase intention. Processed marine product's evaluation also positively affects processed marine product's purchase intention. It implies that there are somewhat differences between influences of various factors of a processed marine product's corporate image on processed marine product's purchase intention but are overall influences of a processed marine product's corporate image on processed marine product's evaluation both directly and indirectly. Nowadays, consumer considers not only good quality of product but also its invisible image and value. Therefore, future studies should consider various ways to investigate a processed marine product's corporate image and processed marine product's product evaluation.

Study to Exchange Metadata of Maritime electronic chart (전자해도에 대한 메타데이터 변환 시스템 연구)

  • Kang, Dong-Woo;Park, Su-Hyun
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2011.10a
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    • pp.183-184
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    • 2011
  • Because voyages of large ship applies electronic chart, electronic chart standardization takes a peak importance in navigation safety. Currently the standard electronic chart follows the form S-57 but is currently establishing S-100 as the new Transfer Standard for Digital Hydrographic Data. S-100 was determined by IHO about Transfer Standard for Digital Hydrographic Data in 2010 years. Hence as S-100 takes place as the new standard for the safety of ocean vessel activities, the electronic chart, which was previously based on S-57, would be in avail only after it follows the new S-100 form. This paper discusses analyzations of metadata thorugh S-57 record and field, and study a system which creates S-100 Metadata.

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Bone Ingrowth and Enhancement of Bone Bonding Strength at Interface between Bone and HA Coated Stainless Steel (HA 코팅된 스테인레스강과 뼈의 계면에서의 경조직 성장 및 결합력 향상)

  • Kim, C.S.;Kim, S.Y.;Kim, D.H.;Khang, G.
    • Proceedings of the KOSOMBE Conference
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    • v.1996 no.05
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    • pp.133-136
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    • 1996
  • We investigated how hydroxyapatite (HA) coating onto a porous super stainless steel (S.S.S, 22Cr-20Ni-6Mo-0.25N) affects bone ingrowth in a dog transcortical femoral model. Implants were histologically evaluated after 4 and 48 weeks of implantation, and the bone bonding strength at the bone/implant interface was examined by employing the pull-out test. The direct osseous tissue bonding onto the HA-coated S.S.S was observed, but the uncoated stainless steels had thin fibrous tissue layers. The mean interface strength of the HA-coated S.S.S was 1.5 and 2.5 times greater than those of the S.S.S and the 316L SS after one year of implantation, respectively. In preliminary studies, no toxic responce was observed from a cytotoxicity test of the S.S.S, having similar corrosion resistance to titanium. Our results suggest that early osteoconductive nature of HA coating may induce long term osteointegration for a bioinert substrate.

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Spectral Properties of k-quasi-class A(s, t) Operators

  • Mecheri, Salah;Braha, Naim Latif
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.415-431
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    • 2019
  • In this paper we introduce a new class of operators which will be called the class of k-quasi-class A(s, t) operators. An operator $T{\in}B(H)$ is said to be k-quasi-class A(s, t) if $$T^{*k}(({\mid}T^*{\mid}^t{\mid}T{\mid}^{2s}{\mid}T^*{\mid}^t)^{\frac{1}{t+s}}-{\mid}T^*{\mid}^{2t})T^k{\geq}0$$, where s > 0, t > 0 and k is a natural number. We show that an algebraically k-quasi-class A(s, t) operator T is polaroid, has Bishop's property ${\beta}$ and we prove that Weyl type theorems for k-quasi-class A(s, t) operators. In particular, we prove that if $T^*$ is algebraically k-quasi-class A(s, t), then the generalized a-Weyl's theorem holds for T. Using these results we show that $T^*$ satisfies generalized the Weyl's theorem if and only if T satisfies the generalized Weyl's theorem if and only if T satisfies Weyl's theorem. We also examine the hyperinvariant subspace problem for k-quasi-class A(s, t) operators.

Optical Properties of Mid-infrared Transparent ZnS Ceramics with Different Molar Ratio of S/Zn (S/Zn의 몰비에 따른 중적외선 투과용 ZnS 세라믹스의 소결과 광학적 특성)

  • Yeo, Seo-Yeong;Park, Buem-Keun;Kim, Chang-Il;Paik, Jong-Hoo
    • Journal of Sensor Science and Technology
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    • v.28 no.4
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    • pp.256-261
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    • 2019
  • In this study, mid-infrared transparent zinc sulfide (ZnS) ceramics were fabricated through hydrothermal synthesis with different molar ratios of S/Zn (S/Zn = 0.8, 1.0, 1.2, 1.4, and 1.6). The ZnS ceramics were sintered at a relatively low temperature of $850^{\circ}C$ to prevent the occurrence of the hexagonal phase featuring optical anisotropy. The phase composition, microstructure, and optical properties of the ZnS ceramics were subsequently investigated by employing X-ray diffraction, scanning electron microscopy, and Fouriertransform infrared spectroscopy. The results obtained indicate that the ZnS nanoparticles feature the cubic phase, without the hexagonal phase. Moreover, with increasing S, the crystallinity and particle size of the ZnS nanoparticles increased. The crystallinity and density of the ZnS ceramics improved when the molar ratio of S was higher than the molar ratio of Zn, thereby enhancing the transmittance. Furthermore, the ZnS ceramic with an S/Zn value of 1.2 was found to exhibit the highest transmittance of approximately 69% owing to the reduced occurrence of the hexagonal phase and a high density of 99.8%.

The Effects of Children's Age and Fathers' Childrearing Involvement on the Social Morality of Young Children (유아의 사회도덕성에 대한 유아 연령 및 아버지 양육참여의 영향)

  • Lee, Joo-Yeon;Mun, Ye Eun
    • Korean Journal of Childcare and Education
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    • v.17 no.5
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    • pp.63-82
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    • 2021
  • Objective: The purpose of this study was to examine the impact of children's age and their fathers' childrearing involvement on the social morality of young children. Methods: The data were gathered from parents who had 3-5 year old children enrolled in daycare centers and from their daycare teachers. The parents answered questions about their children's socio-demographic background and the father's childrearing involvement. And the teachers rated children's social morality. The data from a total of 245 questionnaires were analyzed by SPSS 25.0. Results: First, there was a statistically significant difference between young children's morality score and convention score. Young children's morality scores were higher than their convention scores. Second, children's age was a significant influential factor on both their moral and conventional social morality. Third, father's care-discipline had the only impact on children's conventional social morality. That is, children's social morality was higher when their fathers gave them more care and guidance. Forth, an interaction effect between children's age and father's development-support on children's conventional social morality was found. Conclusion/Implications: The results from this study suggest that a differentiated approach is needed according to the types of childrearing involvement of fathers in order to improve children's social morality.

$\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES AND GLOBAL DIMENSION RELATIVE TO $\mathcal{F}_{\mathcal{S}}$-MITTAG-LEFFLER MODULES

  • Chen, Mingzhao;Wang, Fanggui
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.961-976
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    • 2019
  • Let R be any commutative ring and S be any multiplicative closed set. We introduce an S-version of $\mathcal{F}$-Mittag-Leffler modules, called $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, and define the projective dimension with respect to these modules. We give some characterizations of $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, investigate the relationships between $\mathcal{F}$-Mittag-Leffler modules and $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler modules, and use these relations to describe noetherian rings and coherent rings, such as R is noetherian if and only if $R_S$ is noetherian and every $\mathcal{F}_{\mathcal{S}}$-Mittag-Leffler module is $\mathcal{F}$-Mittag-Leffler. Besides, we also investigate the $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension of R, and prove that $R_S$ is noetherian if and only if its $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension is zero; $R_S$ is coherent if and only if its $\mathcal{M}^{\mathcal{F}_{\mathcal{S}}$-global dimension is at most one.