• Title/Summary/Keyword: S-T Method

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ON STABILITY OF NONLINEAR NONAUTONOMOUS SYSTEMS BY LYAPUNOV'S DIRECT METHOD

  • Park, Jong-Yeoul;Phat, Vu-Ngoc;Jung, Il-Hyo
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.805-821
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    • 2000
  • The paper deals with asymtotic stabillity of nonlinear nonautinomous systems by Lyapunov's direct method. The proposed Lyapunov-like function V(t, x) needs not be continuous in t and Lipschitz in x in a Banach space. The class of systems considered is allowed to be nonautonomous and infinite-dimensional and we relax the boundedness, the Lipschitz assumption on the system and the definite decrescent condition on the Lyapunov function.

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Prediction of Effective Horsepower for G/T 4 ton Class Coast Fishing Boat Using Statistical Analysis (통계해석에 의한 G/T 4톤급 연안어선의 유효마력 추정)

  • Park, Chung-Hwan;Shim, Sang-Mog;Jo, Hyo-Jae
    • Journal of Ocean Engineering and Technology
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    • v.23 no.6
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    • pp.71-76
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    • 2009
  • This paper describes a statistical analysis method for predicting a coast fishing boat's effective horsepower. The EHP estimation method for small coast fishing boats was developed, based on a statistical regression analysis of model test results in a circulating water channel. The statistical regression formula of a fishing boat's effective horsepower is determined from the regression analysis of the resistance test results for 15 actual coast fishing boats. This method was applied to the effective horsepower prediction of a G/T 4 ton class coast fishing boat. From the estimation of the effective horsepower using this regression formula and the experimental model test of the G/T 4 ton class coast fishing boat, the estimation accuracy was verified under 10 percent of the design speed. However, the effective horsepower prediction method for coast fishing boats using the regression formula will be used at the initial design and hull-form development stage.

Studies on Sensory Evaluation -[Part IV] New Modified Triangle Test- (관능검사(官能檢査)에 관한 연구(硏究) -[제4보(第4報)] 3점비교법(點比較法)의 신변형(新變形)에 대하여-)

  • Hong, Jin
    • Applied Biological Chemistry
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    • v.20 no.3
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    • pp.285-291
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    • 1977
  • In this paper the new statistical method called "New Modified Triangle Test" is studied. This method is to test the null hypothesis based on the result which comes from evaluating sample size "t", where $t{\geqq}3$, by using Triangle Preference Scale Test. It a confirmed that "New Modified Scheffe's Method 1" can be used for appraising "New Modified Triangle Test". In this report, the weight fraction of in-correct oddity chosen to correct oddity chosen is made 1/2 in terms of chance probability.

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A Quality Assessment Method of Biometrics for Estimating Authentication Result in User Authentication System (사용자 인증시스템의 인증결과 예측을 위한 바이오정보의 품질평가기법)

  • Kim, Ae-Young;Lee, Sang-Ho
    • Journal of KIISE:Computing Practices and Letters
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    • v.16 no.2
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    • pp.242-246
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    • 2010
  • In this paper, we propose a quality assessment method of biometrics for estimating an authentication result in an user authentication system. The proposed quality assessment method is designed to compute a quality score called CIMR (Confidence Interval Matching Ratio) as a result by small-sample analysis like T-test. We use the C/MR-based quality assessment method for testing how to well draw a distinction between various biometrics in a multimodal biometric system. We also test a predictability for authentication results of obtained biometrics using the mean $\bar{X}$ and the variance $s^2$ in T-test-based CIMR. As a result, we achieved the maximum 88% accuracy for estimation of user authentication results.

FAST OPERATION METHOD IN GF$(2^n)$

  • Park, Il-Whan;Jung, Seok-Won;Kim, Hee-Jean;Lim, Jong-In
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.531-538
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    • 1997
  • In this paper, we show how to construct an optimal normal basis over finite field of high degree and compare two methods for fast operations in some finite field $GF(2^n)$. The first method is to use an optimal normal basis of $GF(2^n)$ over $GF(2)$. In case of n = st where s and t are relatively primes, the second method which regards the finite field $GF(2^n)$ as an extension field of $GF(2^s)$ and $GF(2^t)$ is to use an optimal normal basis of $GF(2^t)$ over $GF(2)$. In section 4, we tabulate implementation result of two methods.

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ALMOST STABILITY OF THE MANN ITERATION METHOD WITH ERRORS FOR STRICTLY HEMI-CONTRACTIVE OPERATORS IN SMOOTH BANACH SPACES

  • Liu, Z.;Kang, S.M.;Shim, S.H.
    • Journal of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.29-40
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    • 2003
  • Let K be a nonempty closed bounded convex subset of an arbitrary smooth Banach space X and T : KlongrightarrowK be a strictly hemi-contractive operator. Under some conditions we obtain that the Mann iteration method with errors both converges strongly to a unique fixed point of T and is almost T-stable on K. The results presented in this paper generalize the corresponding results in [l]-[7], [20] and others.

The Effect of Different Heat Treatment Processes on Critical Properties of Bi2212/Ag ROSAT Wire (열처리 공정 변화에 따른 Bi2212/Ag ROSAT 선재의 임계 특성)

  • Oh, W.S.;Jang, G.E.;Kim, S.C.;Ha, D.W.;Oh, S.S.
    • Progress in Superconductivity
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    • v.9 no.1
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    • pp.111-114
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    • 2007
  • We have investigated the effect of different heat treatment processes on electrical and magnetic properties of Bi2212/Ag ROSAT wire. The ROSAT wire was fabricated by stacking and arranging 12 filaments Bi2212/Ag tapes in triple rotation symmetry in a Ag tube. ROSAT wires have been prepared using a partial melting method with changing $T_{max}$ and $T_a$ in oxygen atmosphere. The highest critical current density($J_c$) at 65 K under 0 T was $21,158\;A/cm^2$ for wire prepared $890\;^{\circ}C(T_{max})$ and $840\;^{\circ}C(T_a)$, respectively. SEM results indicated that the wire prepared at $890\;^{\circ}C(T_{max})$ and $840\;^{\circ}C(T_a)$ showed better directional phases than the other samples. However the result of magnetic susceptibility measurement indicates that the wire prepared $890\;^{\circ}C(T_{max})$ and $835\;^{\circ}C(T_a)$ had better superconducting phases than the other samples. It was revealed that heat treatment temperature was important factor for superconducting properties of the ROSAT wire.

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A Fuzzy Time series Prediction method using modified inputs (변형된 입력을 이용한 퍼지 시계열 예측 방법)

  • 이성록;김인택
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.99-104
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    • 1998
  • 본 논문은 효과적인 시계열 예측을 위한 새로운 퍼지 학습방법을 제안한다. 기존의 학습방법에서는 입력 데이터를 F(y(t),y(t-1),y(t-2)..)의 형태로 주어 예측을 수행했으나 본 논문에서 제안한 방법에서는 입력 데이터를 F(y(t)-y(t-1),y(t-1)-y(t-2)..)로 설정한다. 이것은 각 입력값의 차이를 새로운 입력으로 사용함으로써 유사한 시계열 분포를 좀더 능동적인 퍼지 규칙으로 만들기 때문에 Non-stationary한 데이터뿐만 아니라 기존의 시계열 데이터 예측방법 보다 나은 결과를 나타낸다. 알고리즘의 수행능력을 살펴보기 위해 Mackey-Glass time series와 Lorenz data를 사용하였다.

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