• Title/Summary/Keyword: Relation formula

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HYPERBOLIC SPINOR DARBOUX EQUATIONS OF SPACELIKE CURVES IN MINKOWSKI 3-SPACE

  • Balci, Yakup;Erisir, Tulay;Gungor, Mehmet Ali
    • Journal of the Chungcheong Mathematical Society
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    • v.28 no.4
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    • pp.525-535
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    • 2015
  • In this paper, we study on spinors with two hyperbolic components. Firstly, we express the hyperbolic spinor representation of a spacelike curve dened on an oriented (spacelike or time-like) surface in Minkowski space ${\mathbb{R}}^3_1$. Then, we obtain the relation between the hyperbolic spinor representation of the Frenet frame of the spacelike curve on oriented surface and Darboux frame of the surface on the same points. Finally, we give one example about these hyperbolic spinors.

Comparison of earthquake parameters between KMA and ISC (1978 ~ 1998) (기상청과 ISC의 지진자료 비고 (1978 ~ 1998))

  • 전명순;박윤경
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.44-51
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    • 2001
  • We compare with earthquake parameters of KMA(Korea Meteorological Administration) and ISC(International Seismological Centre) to understand characteristics of earthquake using 30 earthquakes data acquired from 1978 to 1998 in Korea. We calculate difference of KMA between ISC epicentral distance and analyze for magnitude and year. Difference of epicentral distance decreases according to increase of magnitude and have no concern with year. That is the lowest in case of earthquake occurring in land of south Korea. We estimate relation formula for magnitude of KMA and ESC. The result can be expressed in KMA( $M_{L}$) and ISC( $m_{b}$ ) as $M_{L}$$^{KMA}$ = 0.70* $m_{b}$ $^{ISC}$+1.03 and in KMA( $M_{L}$) and ISC( $M_{L}$ as $M_{L}$$^{KMA}$=0.47* $M_{L}$$^{ISC}$+1.37X> ISC/+1.371.371.37

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A NOTE FOR RESTRICTED INFORMATION MARKETS

  • Jianqi, Yang;Qingxian, Xiao;Haifeng, Yan
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1073-1086
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    • 2009
  • This paper considers the problems of martingale measures and risk-minimizing hedging strategies in the market with restricted information. By constructing a general restricted information market model, the explicit relation of arbitrage and the minimal martingale measure between two different information markets are discussed. Also a link among all equivalent martingale measures under restricted information market is given. As an example of restricted information markets, this paper constitutes a jump-diffusion process model and presents a risk minimizing problem under different information. Through $It\hat{o}$ formula and projection results in Schweizer[13], the explicit optimal strategy for different market information are given.

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A Study on Influence of Seam Puckering by the Mechanical Properties of Polyester/Cotton Brended Fabrics (폴리에스테르/면 혼방직물의 역학특성이 Seam puckering에 미치는 영향)

  • Park, Chae-Ryun;Kim, Soon-Boon
    • Fashion & Textile Research Journal
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    • v.7 no.3
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    • pp.346-350
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    • 2005
  • In this study, to investigate the influence on the seam puckering by the mechanical properties of textiles, it was measured from 4 polyester/cotton samples. We reached the following conclusion in influences of the seam puckering by the thread, iron and laundry. Seam puckering is occurred several times by repeating the laundry. according to iron method, the seam puckering is stronger in order of T/C1> T/C2> T/C3> T/C4 by the samples and order of 40's/2> 60's/3> 50's/2> 60's/2 by the threads, the relation between sample's mechanical properties and seam strength and obtainment of formula. We can find that seam puckering is related with B, 2HB, G, 2HG5, RC, T among the mechanical properties and the estimated formulas which get from mechanical factors.

Uncertainty, View, and Hedging: Optimal Choice of Instrument and Strike for Value Maximization

  • Kwon, Oh-Sang
    • Management Science and Financial Engineering
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    • v.17 no.2
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    • pp.99-129
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    • 2011
  • This paper analytically studies how to choose hedging instrument for firms with steady operating cash flows from value maximization perspective. I derive a formula to determine option's optimal strike that makes hedged cash flow have the best monetary payoff given a hedger's view on the underlying asset. I find that not only the expected mean but also the expected standard deviation of the underlying asset in relation to the forward price and the implied volatility play a crucial role in making optimal hedging decision. Higher moments play a certain part in hedging decision but to a lesser degree.

TRACE EXPRESSION OF r-TH ROOT OVER FINITE FIELD

  • Cho, Gook Hwa;Koo, Namhun;Kwon, Soonhak
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.1019-1030
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    • 2020
  • Efficient computation of r-th root in 𝔽q has many applications in computational number theory and many other related areas. We present a new r-th root formula which generalizes Müller's result on square root, and which provides a possible improvement of the Cipolla-Lehmer type algorithms for general case. More precisely, for given r-th power c ∈ 𝔽q, we show that there exists α ∈ 𝔽qr such that $$Tr{\left(\begin{array}{cccc}{{\alpha}^{{\frac{({\sum}_{i=0}^{r-1}\;q^i)-r}{r^2}}}\atop{\text{ }}}\end{array}\right)}^r=c,$$ where $Tr({\alpha})={\alpha}+{\alpha}^q+{\alpha}^{q^2}+{\cdots}+{\alpha}^{q^{r-1}}$ and α is a root of certain irreducible polynomial of degree r over 𝔽q.

Effect on body composition change during 6 weeks of aerobic and circuit weight training (6주간의 유산소성 및 근력강화운동이 체성분 변화에 미치는 영향)

  • Hwang, Eui-Hyoung;Kim, Jeong-Yeon
    • The Journal of Korea CHUNA Manual Medicine
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    • v.6 no.1
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    • pp.11-20
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    • 2005
  • Objectives: To find relation with training period and body composition of peoples engaged in training program of six weeks and present a better training formula. Methods: Changes of body composition during training were analysed with paired t-test. correlation of training period and body composition were analysed with simple correlation analysis. Results: Body weight, body fat and body fat ratio were decreased significantly, all of them were concerned in training period. Conclusions: Training program of six weeks reduce body weight, body fat ratio even muscle mass. It should be careful to order training prescription.

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Relationship between the Initial Clamping Force and the Sliding Distance of the Rail Clamp according to the Wedge Angle (쐐기각에 따른 레일클램프의 초기 압착력과 밀림거리 사이의 관계)

  • Han D.S.;Lee S.W.;Kwon S.K.;Han G.J.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.379-380
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    • 2006
  • In this study we dealt with the relationship between the initial clamping force and the sliding distance in the wedge type rail clamp. The sliding distance is determined by the wedge angle and the initial clamping force. In order to derive the relation formula between the wedge angle and the sliding distance, we ad opt 5-kinds of the wedge angle, such as 2, 4, 6, 8, $10^{\circ}$. And then we analyze the effect of the initial clamping force on the sliding distance.

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A study on residual stress distribution in surface grinding (평면연삭에서의 잔류응력 분포에 관한 연구)

  • 김경년;정재천;김기선
    • Journal of the korean Society of Automotive Engineers
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    • v.13 no.6
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    • pp.109-118
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    • 1991
  • In this study, it is intended to investigate the effect of the grinding conditions such as table feed, down feed, cross feed of residual stress distribution. And this distribution is investigated upon the grinding direction and the its orthogonal direction at ground layers. The material is used carbon steel (SM20C) which usually used to motor axis. And in order to be considered as Bernoulli-Euler beam, the dimension of the specimen is appropriately designed. According as corroiding the ground surface, the residual stress layers are removed and strain which occured on account of unbalance of internal stress is detected by rosette-gate. Through A/D converter and computer, these values are saved and evaluated residual stress by stress-strain relation formula. Finally, these results are diagrammatized with Auto Cad. The results obtained are as follows. As the depth from the ground surface increases in grinding direction and its orthogonal direction, tensile residual stress exists in the surface, and subsequently it becomes compressive residual stress as it goes downward. As the table feed, the cross feed and the down feed increase, maximum residual stress is transformed form the tensile to the compressive.

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A study on the estimation of undrained shear strength and preconsolidation pressure by N-Value (표준관입시험의 N값을 이용한 비배수전단강도 및 선행압밀응력의 추정)

  • Lee, Sung-Cheol;Kim, Ji-Yong;Jo, Sung-Min;Kim, Tae-Hyung
    • 기술발표회
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    • s.2006
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    • pp.303-310
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    • 2006
  • This study researched N-Value, strength of clayey soil and preconsolidation pressure m order to variety application of standard Penetration test. We compared it makes on analysis of the relationship of the N-value and $q_u$ with relation formula is presented in existing, presented the estimated preconsolidation pressure by using the predicted undrained shear strength.

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