• 제목/요약/키워드: exponent of convergence

검색결과 29건 처리시간 0.022초

개선된 지형지수 산정 알고리즘의 적용에 관한 연구 (Application of Improved Algorithm for Topographic Index Calculation)

  • 김상현;이지영
    • 한국수자원학회논문집
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    • 제32권4호
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    • pp.489-499
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    • 1999
  • 본 연구는 분포형 수문 모형인 TOPMODEL의 기본 입력자료인 지형지수, 1n(a/tan {{{{{B}_{}}}}}) 산정을 위한 알고리즘과 수로형성면적(CIT)과 구배멱급수(H)를 고려한 개선된 지형지수 산정 알고리즘의 국내 지형에 대한 적용성을 검토하였다. 대상 유역은 청도천 유역의 한제천 소유역 (18.6km2)과 위천 대표 시험유역의 동곡 소유역(33.6km2)으로, 이 두 유역에 대한 10m, 20m, 30m, 50m, 100m의 수치고도자료(Digital elevation model ; DEM)을 구축하였다. 기존 알고리즘에 대해 수로형성면적의 적용 결과, 수로 격자에 대한 지형지수의 적절한 처리를 통해 개선된 계산 결과를 얻을 수 있었고, 구배멱급수(H)의 적용을 통해 기존의 다방향 흐름(MFD) 알고리즘에 비해 유역 내 협곡 지점에 대한 흐름의 수렴 효과를 얻을 수 있었다. 개선된 알고리즘에 의해 계산된 지형지수 분포는 최대값의 감소로 유출 모의시 과도한 초기 유출 계산 문제를 완화시킬 수 있었다. 기존 알고리즘을 사용한 유출 모의와 비교하여 개선된 알고리즘을 활용한 전체적인 모의 효율은 유사하나 수문정보의 공간 분포 산정은 보다 합리적인 결과를 도출하였다,

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제어불가능 불안정 선형화를 가지는 비선형 시스템에 대한 다이나믹 안정화 (Dynamic Stabilization for a Nonlinear System with Uncontrollable Unstable Linearization)

  • 서상보;심형보;서진헌
    • 전자공학회논문지SC
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    • 제46권4호
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    • pp.1-6
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    • 2009
  • 본 논문에서 우리는 비선형 시스템에 대한 다이나믹 스무스 상태 궤환 안정화기를 설계한다. 이 시스템은 우반평면에 고유값이 존재함으로 제어불가능 모드를 가질 수 있다. 이 시스템을 지수적으로 안정화하기 위해서 우리는 추가 다이나믹스를 고려한 다이나믹 제어기를 제안한다. 추가 다이나믹스의 설계 후에 다이나믹 차수 보정법과 역진기법을 이용하여 안정화기와 미분 가능, positive definite, proper인 리아푸노프 함수를 설계한다. 설계된 제어기의 수렴성은 차수 지표자라는 새로운 개념의 도입으로 증명될 것이다.

티모센코 보 이론에 따른 초기 비틀림각을 갖는 경사기능재 블레이드의 진동 해석 (Vibration Analysis of Pre-twisted Blades with Functionally Graded Material Properties Based on Timoshenko Beam Theory)

  • 유홍희;오유택
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2014년도 추계학술대회 논문집
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    • pp.285-287
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    • 2014
  • Equations of motion for the vibration analysis of rotating pre-twisted beams with functionally graded material properties are derived in this paper. Based on Timoshenko beam theory, the effects of shear and rotary inertia are considered. The pre-twisted beam has a rectangular cross-section and is mounted on a rotating rigid hub with a setting angle. Functionally graded material (FGM) properties are considered along the height direction of the beam. The equations of stretching and bending motion are derived by Kane's method employing hybrid deformation variables. To validate the derived equations, natural frequencies of a rotating FGM pre-twisted beam are compared to those obtained by a commercial software ANSYS. The effects of the pre-twisted angle, slenderness ratio, hub radius, volume fraction exponent, and angular speed on the modal characteristics of the system are investigated with the proposed model.

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On the Order of Growth of Solutions to Complex Non-homogeneous Linear Differential Equations

  • Habib, Habib;Belaidi, Benharrat
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.819-829
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    • 2016
  • In this paper, we study the order of growth of solutions to the non-homogeneous linear differential equation $$f^{(k)}+A_{k-1}e^{az}f^{(k-1)}+{\cdots}+A_1e^{az}f^{\prime}+A_0e^{az}f=F_1e^{az}+F_2e^{bz}$$, where $A_j(z)$ (${\not\equiv}0$) ($j=0,1,{\cdots},k-1$), $F_j(z)$ (${\not\equiv}0$) (j = 1, 2) are entire functions and a, b are complex numbers such that $ab(a-b){\neq}0$.

FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS

  • Wen, Zhi-Tao
    • 대한수학회보
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    • 제51권1호
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    • pp.83-98
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    • 2014
  • During the last decade, several papers have focused on linear q-difference equations of the form ${\sum}^n_{j=0}a_j(z)f(q^jz)=a_{n+1}(z)$ with entire or meromorphic coefficients. A tool for studying these equations is a q-difference analogue of the lemma on the logarithmic derivative, valid for meromorphic functions of finite logarithmic order ${\rho}_{log}$. It is shown, under certain assumptions, that ${\rho}_{log}(f)$ = max${{\rho}_{log}(a_j)}$ + 1. Moreover, it is illustrated that a q-Casorati determinant plays a similar role in the theory of linear q-difference equations as a Wronskian determinant in the theory of linear differential equations. As a consequence of the main results, it follows that the q-gamma function and the q-exponential functions all have logarithmic order two.

FPGA-Based Design of Black Scholes Financial Model for High Performance Trading

  • Choo, Chang;Malhotra, Lokesh;Munjal, Abhishek
    • Journal of information and communication convergence engineering
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    • 제11권3호
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    • pp.190-198
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    • 2013
  • Recently, one of the most vital advancement in the field of finance is high-performance trading using field-programmable gate array (FPGA). The objective of this paper is to design high-performance Black Scholes option trading system on an FPGA. We implemented an efficient Black Scholes Call Option System IP on an FPGA. The IP may perform 180 million transactions per second after initial latency of 208 clock cycles. The implementation requires the 64-bit IEEE double-precision floatingpoint adder, multiplier, exponent, logarithm, division, and square root IPs. Our experimental results show that the design is highly efficient in terms of frequency and resource utilization, with the maximum frequency of 179 MHz on Altera Stratix V.

Relaxation Characteristic of the Disordered Lead Scandium Niobate

  • Kim, Yeon Jung
    • Applied Science and Convergence Technology
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    • 제24권3호
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    • pp.47-52
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    • 2015
  • The correlation between admittance and dielectric spectroscopy of dielectric relaxation in lead scandium noibate, have been investigated. Lead scandium niobate, with composition $PbSc_{0.5}Nb_{0.5}O_3$, was prepared by conventional solid state synthesis. Conductance Y'(G), susceptance Y"(B) and capacitance C of lead scandium niobate as a function of frequency and temperature were measured. From the temperature-dependence of RLC circuit, insight into physical significance of the dielectric properties of lead scandium niobate is obtained. The relative strong frequency dependent of dielectric properties in lead scandium niobate is observed, and the phase transition occurred at a broad temperature region. Also, the value of critical exponent ${\gamma}$=1.6 showed on heating process. The long relaxation times part enlarged diffuse by conductivity effects with increasing temperature, and the ordering between $Sc^{3+}$ and $Nb^{5+}$ in PSN influences complex admittance and dielectric properties. Confirmed the typical characteristic of lead-type relaxor in the Raman spectra of lead scandium niobate and major ranges are between 400 and $900cm^{-1}$.

Attribute-based Proxy Re-encryption with a Constant Number of Pairing Operations

  • Seo, Hwa-Jeong;Kim, Ho-Won
    • Journal of information and communication convergence engineering
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    • 제10권1호
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    • pp.53-60
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    • 2012
  • Attribute-based encryption (ABE) is an encryption scheme in which the user is able to decrypt a ciphertext with associated attributes. However, the scheme does not offer the capability of decryption to others when the user is offline. For this reason, the attribute-based proxy re-encryption (ABPRE) scheme was proposed, which combines traditional proxy re-encryption with ABE, so a user is able to empower designated users to decrypt the re-encrypted ciphertext with the associated attributes of designated users. However, previous ABPRE schemes demands a number of pairing operations that imply huge computational overhead. To reduce the number of pairing operations, we reduce the pairing operations with exponent operations. This paper provides a novel approach to an ABPRE scheme with constant pairing operation latency.

Fairness CSMA/CA MAC Protocol for VLC Networks

  • Huynh, Vu Van;Jang, Yeong-Min
    • International journal of advanced smart convergence
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    • 제1권1호
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    • pp.14-18
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    • 2012
  • This paper presents a fair MAC protocol based on the CSMA/CA algorithm in visible light communication (VLC) networks. The problem of bandwidth sharing among differentiated priority in VLC networks can be solved by using number of backoff time and backoff exponent parameters with AIFS. The proposed algorithm can achieve fair allocation of the bandwidth resource among differentiated priority. The two dimension Markov chain is assisted for analyzing the proposed mechanism about throughput and delay metrics. Numerical results show that our proposed algorithm improves the fairness among different traffic flows.

THE LOCAL TIME OF THE LINEAR SELF-ATTRACTING DIFFUSION DRIVEN BY WEIGHTED FRACTIONAL BROWNIAN MOTION

  • Chen, Qin;Shen, Guangjun;Wang, Qingbo
    • 대한수학회보
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    • 제57권3호
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    • pp.547-568
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    • 2020
  • In this paper, we introduce the linear self-attracting diffusion driven by a weighted fractional Brownian motion with weighting exponent a > -1 and Hurst index |b| < a + 1, 0 < b < 1, which is analogous to the linear fractional self-attracting diffusion. For the 1-dimensional process we study its convergence and the corresponding weighted local time. As a related problem, we also obtain the renormalized intersection local time exists in L2 if max{a1 + b1, a2 + b2} < 0.