• Title/Summary/Keyword: S-S curve

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POSITION VECTORS OF A SPACELIKE W-CURVE IN MINKOWSKI SPACE 𝔼13

  • Ilarslan, Kazim;Boyacioglu, Ozgur
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.3
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    • pp.429-438
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    • 2007
  • In this paper, we study the position vectors of a spacelike W-curve (or a helix), i.e., curve with constant curvatures, with spacelike, timelike and null principal normal in the Minkowski 3-space $\mathbb{E}_1^3$. We give some characterizations for spacelike W - curves whose image lies on the pseudohyperbolical space $\mathbb{H}_0^2$ and Lorentzian sphere $\mathbb{S}_1^2$ by using the positions vectors of the curve.

ON THE GEOMETRY OF RATIONAL BÉZIER CURVES

  • Ceylan, Ayse Yilmaz;Turhan, Tunahan;Tukel, Gozde Ozkan
    • Honam Mathematical Journal
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    • v.43 no.1
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    • pp.88-99
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    • 2021
  • The purpose of this paper is to assign a movable frame to an arbitrary point of a rational Bézier curve on the 2-sphere S2 in Euclidean 3-space R3 to provide a better understanding of the geometry of the curve. Especially, we obtain the formula of geodesic curvature for a quadratic rational Bézier curve that allows a curve to be characterized on the surface. Moreover, we give some important results and relations for the Darboux frame and geodesic curvature of a such curve. Then, in specific case, given characterizations for the quadratic rational Bézier curve are illustrated on a unit 2-sphere.

Evaluation Methods of Compression Index and the Coefficient of Consolidation by Back Analysis of Settlement Data (현장계측치로부터 역산한 압축지수와 압밀계수의 평가 방법)

  • Lee, Dal Won;Lim, Seong Hun;Kim, Ji Moon
    • Korean Journal of Agricultural Science
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    • v.27 no.1
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    • pp.39-47
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    • 2000
  • A large scale field test of prefabricated vertical drains is performed to analyze the effect of parameters of the very soft clay at a test site. Compression index and the coefficient of horizontal consolidation obtained by back-analysis from the settlement data were compared with those obtained by means of laboratory tests. The Hyperbolic, Asaoka's and The Curve fitting methods are used to estimate final settlements and coefficients of consolidation. 1. Final settlement predicted with the Hyperbolic method was the largest, and the settlements predicted with the Asaoka's and the Curve fitting methods were nearly the same range, and it was concluded that smear effect has to be considered on design in the case that spacing of drains is small 2. The relationships of the measured consolidation ratio (Urn) and the designed consolidation ratio($U_t$) were showed as $U_m$ = (1.13~1.17)$U_t$, $U_m$ = (1.07~1.20)$U_t$, $U_m$ = (1.13~1.17)$U_t$ on the Hyperbolic, Asaoka's and the Curve fitting methods, respectively. The relations on the Asaoka's and the Curve fitting methods were nearly the same range. 3. The relationships of the field compression index($C_{cfield}$) and virgin compression index($V_{cclab}$) were showed as $C_{cfield}$ = (1.26~1.45)$V_{cclab}$, $C_{cfield}$ = (1.08~1.15) $V_{cclab}$, $C_{cfield}$ = (1.04~1.21)$V_{cclab}$, on the Hyperbolic, Asaoka's and the Curve fitting methods, respectively. 4. The ratio ($C_h/C_v$) of the coefficient of vertical consolidation and the coefficient of horizontal consolidation that is obtained by back-analysis from the settlement data was $C_h$=(0.7~0.9)$C_v$, $C_h$=(0.9~1.5)$C_v$, $C_h$=(2.4~3.0)$C_v$ on the Hyperbolic, Asaoka's and the Curve fitting methods, respectively. 5. It was concluded that the exact consolidation coefficient must be determined after the final settlement is predicted again when the consolidation is finished, because the field consolidation coefficient is decreased as the time allowed to be alone is increased.

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Mesh Selectivity of Durm Net Fish Trap for Elkhorn sculpin(Alcichthys alcicornis) in the Eastern Sea of Korea (동해의 장구형 통발에 대한 빨간횟대 (Alcichthys alcicornis)의 망목선택성)

  • Park, Hae-Hoon;Jeong, Eui-Cheol;An, Heui-Chun;Park, Chang-Doo;Kim, Hyun-Young;Bae, Jae-Hyun;Cho, Sam-Kwang;Baik, Chul-In
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.40 no.4
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    • pp.247-254
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    • 2004
  • The mesh selectivity of the drum net fish trap for elkhorn sculpin(Alcichthys alcicornis) in the estern sea of Korea was described. The selection curve for the elkhorn sculpin caught from the experiments between June 2003 and December 2003 was by SELECT(Share Each Length Class's Catch Total)model and by Kitahaa's method to a polynomial equation and two parameter logistic selection curve. The selection curve by SELECT model showed to be equal probability of entrance of the elkhorn sculpin in the large(55mm) and small(20mm) mesh traps by minimum AIC (Akaike Information Criteria). The equation of selectivity curve obtained by Kitahara's method using a logistic function with least square method was $s(R)\;=\;\frac{1}{1+exp(-0.3545R+2.141)$, where R=1/m, and/and m are total length and mesh size, respectively. The mesh selectivity curve showed that the current regulated mesh size(35mm) for the trap was corresponded to 21.4cm in the $L_{50}$of the selection curve for the elkhorn sculpin.

The Bending Fatigue Behavior Analysis of Rail by Bending Fatigue Test (실물 휨 피로시험을 통한 철도레일의 휨 피로거동 분석)

  • Sung, Deok-Yong;Park, Yong-Gul;Go, Dong-Chun;Lee, Si-Yong;Min, Rak-Ki
    • Journal of the Korean Society for Railway
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    • v.13 no.2
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    • pp.201-207
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    • 2010
  • The replacement criterion of rail by accumulated passing tonnage was estimated by the bending fatigue life of rail. In order to estimate the bending fatigue life, it is basically needed to analyze bending fatigue behavior on the rail. In this study, the bending fatigue test were performed for 50kg/m and 60kg/m rails, and test specimens were distinguished by new and used rails and by the types of welded rail such as base material, thermite weld, and gas pressure weld. Also, this study analyzed the fractured surface, the position of initial crack and the bending fatigue behavior (S-N curve). Therefore, it evaluated S-N curve for welded rails according to the fracture probability. The result from this study might be used essential data in order to estimate the bending fatigue life of rail by the accumulated passing tonnage.

A Study on the Estimation of Average Service Life for New Technology Products-in Case of Solor-cell (신기술 제품의 ASL 추정-솔라셀 사례 중심으로)

  • Cho, Jin-Hyung;Lee, S.J.;Oh, H.S.;Baek, S.S.;Kim, O.J.;Kim, B.K.;Jeong, K.S.;Park, S.H.;Kwon, D.C.;Ko, J.H.;Ryu, J.H.;Shim, S.C.
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.37 no.4
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    • pp.106-115
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    • 2014
  • Until now, because a new product (or facility) launched in market has been retired from one year of age, we can have had ASL by stub-curve method by Iowa curve. Recently, many innovative products with important role in market like display and solar-cell etc. are more durable and, what are better, they have the constant variance in ASL because of their good quality. Of course, there are some ones like smart mobile phone with relatively big dispersion in ASL. Estimating ASL of products like display and solar-cell etc., the new approach is needed. In this paper a new method applied traditional Iowa curve with accelerated reliability test (indoor/outdoor) etc. is proposed.

Developmental Trajectories of Children's Internalizing and Externalizing Problem Behaviors and Their Predictors (아동기 문제행동의 발달궤적과 예측요인)

  • Cha, Yoon-Hee;Kim, Yeong-Hee
    • Journal of the Korean Home Economics Association
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    • v.48 no.5
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    • pp.25-48
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    • 2010
  • The purpose of this study was to employ the Latent Growth Curve Model(LGM) to investigate the developmental trajectories of children's internalizing and externalizing problem behaviors and to identify predictors that might have an effect on change and the level of developmental trajectories. Furthermore, we classified the developmental trajectories of children's internalizing and externalizing problem behaviors, and also analyzed factors which caused differences in developmental trajectories by Semi-Parametric Group-based Modeling. This study used data from wave 1-4(2004~2008) of elementary school fourth grade panel of the Korea Youth Panel Survey(KYPS). The results showed that children's internalizing and externalizing problem behaviors changed significantly from the fourth grade of elementary school to the first grade of middle school. The predictors for developmental trajectories of children's internalizing problem behaviors were gender, self-control, parental conflict, deviant peers, and attachment to teachers. The predictors for the developmental trajectories of children's externalizing problem behaviors were gender, self-esteem, self-control, and deviant peers. The developmental trajectories of children's internalizing problem behaviors was classified into three groups. The developmental trajectories of children's externalizing problem behaviors was classified into four groups.

Development of Application Program for Fatigue Characteristics of Engineering Plastics (엔지니어링 플라스틱 소재의 피로특성에 대한 응용프로그램 개발)

  • Jang, Cheon-Soo;Park, Bum-Gyu;Kim, Chul-Su;Kim, Jung-Kyu
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.154-159
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    • 2004
  • In this study, in order to perform more efficiently reliability design and integrity assessment of structural members, the relational database management program on the engineering plastics was constructed. This program contained 476 grades for 14 kinds of the engineering plastics and was developed using MS-access and MS-visualbasic. This program consists of 3 modules; search condition, probabilistic characteristics of material property, evaluation of P-S-N curve. We perform fatigue test for probabilistic durability analysis and this results input the database program to estimate P-S-N.

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The simulation on a electric field distribution of dielectric beads with a shape of ball in water (유전체 비드를 이용한 수중 방전의 전계 분포 특성 평가)

  • Lee, Dong-Hoon;Park, Honh-Jae;Park, Jae-Youn
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.05e
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    • pp.15-18
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    • 2003
  • In this paper, We explained the best shape design of electrode for discharge on the water. Electrode with rounding was reduced maximum electric field of over 40% to electrode without rounding for discharge on the water and the best shape of electrode for discharge on the water designed when shape of electrode had a curve radius of over $60^{\circ}$ at electrode's face to electrode's face with minimum distance and a curve radius of under $120^{\circ}$ at electrode's side face to electrode's front face. And When dielectric beads are used between electrodes, the life of electrodes is improved by lower stress of electric field on surface of electrodes.

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Analysis of MICC, ELA TFT performance transition according to substrate temperature and gate bias stress time variation (온도 변화 및 Gate bias stress time에 따른 MICC, ELA TFT성능 변화 비교 분석)

  • Yi, Seung-Ho;Lee, Won-Baek;Yi, Jun-Sin
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.368-368
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    • 2010
  • Using TFTs crystallized by MICC and ELA, electron mobility and threshold voltage were measured according to various substrate temperature from $-40^{\circ}C$ to $100^{\circ}C$. Basic curve, $V_G-I_D$, is also measured under various stress time from 1s to 10000s. Consequently, due to the passivation effect and number of grains, mobility of MICC is varied in the range of -8% ~ 7.6%, while that of ELA is varied from -11.04% ~ 13.25%. Also, since $V_G-I_D$ curve is dominantly affected by grain size, active layer interface, the graph remained steady under the various gate bias stress time from 1s to 10000s. This proves the point that MICC can be alternative technic to ELA.

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