• East Asian mathematical journal
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• v.37 no.1
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• pp.41-77
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• 2021

Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (��, ξ, η, g) in a complex space form Mn+1(c), c ≠ 0. We denote by Rξ = R(·, ξ)ξ and A(i) be Jacobi operator with respect to the structure vector field ξ and be the second fundamental form in the direction of the unit normal C(i), respectively. Suppose that the third fundamental form t satisfies dt(X, Y ) = 2��g(��X, Y ) for certain scalar ��(≠ 2c)and any vector fields X and Y and at the same time Rξ is ��∇ξξ-parallel, then M is a Hopf hypersurface in Mn(c) provided that it satisfies RξA(1) = A(1)Rξ, RξA(2) = A(2)Rξ and ${\bar{r}}-2(n-1)c{\leq}0$, where ${\bar{r}}$ denotes the scalar curvature of M.

• Kyungpook Mathematical Journal
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• v.62 no.1
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• pp.133-166
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• 2022

Let M be a semi-invariant submanifold with almost contact metric structure (𝜙, 𝜉, 𝜂, g) of codimension 3 in a complex space form M_n+1(c) for c ≠ 0. We denote by S and R_𝜉 be the Ricci tensor of M and the structure Jacobi operator in the direction of the structure vector 𝜉, respectively. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a certain scalar 𝜃 ≠ 2c and any vector fields X and Y on M. In this paper, we prove that if it satisfies R_𝜉𝜙 = 𝜙R_𝜉 and at the same time S𝜉 = g(S𝜉, 𝜉)𝜉, then M is a real hypersurface in M_n(c) (⊂ M_n+1(c)) provided that $\bar{r}-2(n-1)c{\leq}0$, where $\bar{r}$ denotes the scalar curvature of M.

• Journal of Animal Environmental Science
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• v.16 no.2
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• pp.129-134
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• 2010

This survey was carried out to investigate the dimensions of farrowing accommodation and farrowing crate by types. Farrowing crates are used to prevent the crushing death in the swine industry generally but farrowing crates include many problems in the animal welfare viewpoint: e.g. restriction of movements and maternal instincts. Therefore, the studies of alternative systems have been discussed for a while in U.K., U.S.A. and Canada. We surveyed eight farms for about eight months. To accurately compare the farrowing housing, small scale swine farms (3,000hd or less) were excluded from all data in this survey. Lactating accommodations were divided into vertical lactating accommodation type and diagonal accommodation type, and farrowing crates were divided into vertical bar type and horizontal bar type. In this survey, nipple waterer, partial slotted floor and total slotted floor were 80%, 40% and 60% respectively, and the lactating accommodations' dimensions ranged from 3.90 to $4.92\;m^2$. We believe that these data of the survey contribute to develop alternative systems and then contribute to improve the animal welfare in Korea.

• Koreanishche Zeitschrift fur Deutsche Sprachwissenschaft
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• v.9
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• pp.1-21
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• 2004

Die sogenannten verba pura bilden eine Teilmenge der germanischen starken Verben der VII. KLasse. Sie sind auf einsilbige langvokalisch auslautende Wurzeln des Vorurgermanischen $zur\"{u}ckzufuhren$: z. B. ${\ast}kn\bar{e}an$ 'erkennen', ${\ast}m\bar{e}an$ '$m\"{a}hen$', ${\ast}bl\bar{o}an$ $'bl\"{u}hen'$, ${\ast}m\bar{o}an$ $'qu\"{a}hlen'$. Um den Begriff der verba pura genau zu $erkl\"{a}ren$, stellt man diesen Verben die sogenannten verba impura $gegen\"{u}ber$, bei denen auf die lang Wurzelvokale urgerm. ${\ast}-\bar{e}-$ und ${\ast}-\ber{o}-$ ein Konsonant folgl: z.. B. urgerm. ${\ast}l\bar{e}tan$ (got. \etan) 'lassen', ${\ast}hw\bar{o}pan$ (got. hvopan) 'sich $r\"{u}hmen$'. Die germanischen starken Verben der VII. Klasse hat die $st\"{a}rksten$ Umgestaltungen mitgemacht, und zwar die verba pura noch mehr. In diesem Aufsatz untersuchte ich die $Gr\"{u}nde$ ihrer Umgestaltungen im germanischen Verbalsystem. Danach wird der Vorgang erschlossen, wie die verba pura in Ahd. zu den schwachen Verben I $\"{u}bertraten$. Dabei werden die folgenden Punkte besonders behandelt: Hatten die $fr\"{u}hzeitigen${\;}Pr\"{a}sensformen$ der verba pura -i-, das aus -jan herausgeht? Wenn nein, wie haben die verba pura zur schwachen Flexion $\"{u}bertraten$? Warum konnten die verba pura wie die anderen redupliziernden Verben in Ahd. nicht zu ablautenden Verben $\"{u}bergehen$?

• Journal of Welding and Joining
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• v.3 no.1
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• pp.22-31
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• 1985

Hot straining embrittlement is one of the most important factors which cause the brittle fracture initiation even in the service temperature in the case of mild steel and high tensile steel. Therefore it is necessary to analyze thoroughly the hot straining embrittlement occurred in weld HAZ of the structural steels. The behaviors of plastic deformation and fracture toughness at the notch tip of the hot strained weld HAZ in structural steels (SB 41 KS, SA 588-Grade A ASTM) have been studied by the recrystallization technique and crack opening displacement (COD) test method. The obtained results are summarized as follows; 1. The plastic zone is formed at the notch tip of weld HAZ owing to nomotonic and cyclic hot stran, and the maximum plastic strain increases with the accumulated hot straining amounts. 2. The distribution of the effective strain at the plastic deformed zone in HAZ can be determined as follows; (.epsilon. over bar $_{p}$ )$_{\chi}$=.epsilon. over bar $_{cr}$ ( $R_{/chi}$/.chi.)$^{m}$ where, .epsilon. over bar $_{cr}$ : (SB 41; .epsilon. over bar $_{cr}$ = 0.2, SA 588; .epsilon. over bar $_{cr}$ = 0.1) 3. The embrittlement of weld HAZ in SB 41 and SA 588 is influenced by hot strain, and the degree of embrittlement becomes deeper with hot straining amounts. 4. The embrittlement of weld HAZ of SB 41 is not influenced by the hot straining amounts until .epsilon. over bar $_{max}$ = 0.36, $R_{\chi}$ = 0.065mm, however the embrittlement of structure in SA 588 is considerably influenced even by a small quantity of the hot straining amounts.s.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.67 no.3
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• pp.467-473
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• 2018

R-Bar(Overhead Rigid Conductor system) is being developed for the high-speed in Europe because it has an advantage of cross section area reduction of tunnel compared with OCS (Overhead Catenary Line). Because there are lots of underground sections and mountains in korea, it is necessary to develop the R-Bar for a high-speed line. In this study, a method on speed-up of transition section between OCS and R-Bar is proposed. The commercial program, DAFUL, is used to predict a dynamic characteristics between Overhead Line and pantograph. The program is evaluated according to EN 50318 which is the European Norm for evaluation of the program. Using the evaluated modeling and method, a method for the max. speed of 250 km/h of transition section is proposed.

• Journal of the Korean Society for Heat Treatment
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• v.5 no.1
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• pp.13-22
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• 1992

The thermal stability of duplex high Mn-steel structure have been investigated using 15%Mn~1.0~2.4%C steels which are composed of ${\gamma}$-and ${\theta}$-phases in the range of temperature from 900 to $1100^{\circ}C$, and time from 50 to 300h. The results are as follows ; 1) The grain growth in single-phase region proceeds by grain boundary migration and the relation between mean radius $\bar{r}$ and annealing time t is described as follows ; $\bar{r}^2-{\bar{r}_0}^2=k_0{\cdot}t$ 2) The grain growth of duplex, (${\gamma}+{\theta}$), strucrure is slower than that single phase because the chemical composition of ${\gamma}$-and ${\theta}$-phases differs esch others. 3) The grain of (${\gamma}+{\theta}$) duplex structure grow slowly in a mode of Ostwald ripening. Because grain boundaries of ${\gamma}$-phase migrate under a restriction of pinning by ${\theta}$-phases. 4) In the duplex structures. the dispersed structures change to the dual-structures, as the volume fraction of the dispersed second-phase increase. Consequently, the growth-law, which is controlled by boundary-diffusion change to that of the volume diffusion-mechanism.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.32 no.6
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• pp.507-511
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• 2019

The purpose of an electric railway system contact wire is to supply electric energy to trains through a contacted pantograph. This energy is then converted into mechanical energy. Recent developments in overhead contact lines include the increase in the tension force up to 34 kN according to train speeds that reach up to 400 km/h with a verified safety. Rigid conductor catenary (R-Bar) for high speeds of up to 250 km/h have been developed in tunnels to save on construction costs. This is significant because minor defects in R-bars in aspects, such as height and stagger affect installation conditions. In this study, we propose the use of a detector that measures the static characteristics to reduce the R-bar installation errors. This detector has been developed to measure the height and stagger of the contact wire using video images.

• Journal of applied mathematics & informatics
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• v.37 no.1_2
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• pp.23-35
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• 2019

Self-reciprocal polynomials are important because it is possible to specify only half of the coefficients. The special case of the self-reciprocal polynomial, the maximum weight polynomial, is particularly important. In this paper, we analyze even cell 90/150 cellular automata with linear rule blocks of the form < $a_1,{\cdots},a_n,d_1,d_2,b_n,{\cdots},b_1$ >. Also we show that there is no 90/150 CA of the form < $U_n{\mid}R_2{\mid}U^*_n$ > or < $\bar{U_n}{\mid}R_2{\mid}\bar{U^*_n}$ > whose characteristic polynomial is $f_{2n+2}(x)=x^{2n+2}+{\cdots}+x+1$ where $R_2$ =< $d_1,d_2$ > and $U_n$ =< $0,{\cdots},0$ >, and $\bar{U_n}$ =< $1,{\cdots},1$ >.

• Journal of Korean Association for Spatial Structures
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• v.5 no.4 s.18
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• pp.15-20
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• 2005