• 제목/요약/키워드: log-law

검색결과 108건 처리시간 0.031초

Relationship between Maximum Stem Volume and Density during a Course of Self-thinning in a Cryptomeria japonica Plantation

  • Ogawa, Kazuharu;Hagihara, Akio
    • The Korean Journal of Ecology
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    • 제27권1호
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    • pp.27-33
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    • 2004
  • Cryptomeria japonica plantation was monitored every year during 15 years from 1983 to 1997 for stem diameter and volume. The reciprocal equation, 1/Y = A + B/N, was applied to the relationship between cumulative volume Y and cumulative number N from the largest tree in the stand each year. The parameters A and B, which means respectively the reciprocal of an asymptotic value of total stand stem volume and the reciprocal of the maximum stem volume, are related by a power function. The power functional relationship between A and B derived a linear relationship of B-points ( $N_{B}$, $V_{B}$; $N_{B}$ = B/A, $Y_{B}$ = 1/2A) of each Y-N curve on log-log coordinates. The gradient of B-point line was so steep that the Y-N curve moved parallel upward year by year. The time trajectory of mean stem volume (W) and density ($\rho$) provided evidence in favor of the 3/2 power law of self-thinning, because the gradient of W - $\rho$ trajectory on log-log coordinates approximated to -3/2 at the final stage of stand development. On the basis of the results of Y-N curves and W - $\rho$ trajectory, the time trajectory of maximum stem volume $W_{max obs}$ and $\rho$ was derived theoretically. The gradient of $W_{max obs}$ - $\rho$ trajectory on log-log coordinates is calculated to be -0.6105 at the final stage. The gradient of $W_{max obs}$ - $\rho$ trajectory was steeper than that of W - $\rho$ trajectory at the early stage, while the former is gentler than the latter at the later stage.stage.e.age.e.

말뚝의 정재하시험을 통한 현장시험 결과 분석 (A Comparative Study on Field Tests for Driven Pile in Static Load Tests)

  • 천병식;윤환호;윤병태;김영훈
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 춘계 학술발표회 초청강연 및 논문집
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    • pp.1117-1124
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    • 2008
  • In This paper, load-settlement curves that obtained from 11 sites were analyzed. At all tests, the load is applied until apparent failure is observed. The validity of the ultimate and yield load estimation method and load calculated from the settlement criterion was investigated through comparison with the measured data. The result indicated that B. Hansen 80% criterion and Stability Plot in ultimate loading decision law almost have been regared as same by comparing measured date and ultimate bearing capacity decided in depending yield loading decision law from 13% to 46% difference have taeyaeen came out when measured data and Davisson was compared, and S-log t from 5% to 41% log P-log S from 14% to 50% difference have been came out. When Settlement standard and measured data was compared difference had been came out about 3% in total settlement 0.1D criterion and from 12% to 35% difference had been came out in net settlement.

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PRECISE RATES IN THE LAW OF THE LOGARITHM FOR THE MOMENT CONVERGENCE OF I.I.D. RANDOM VARIABLES

  • Pang, Tian-Xiao;Lin, Zheng-Yan;Jiang, Ye;Hwang, Kyo-Shin
    • 대한수학회지
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    • 제45권4호
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    • pp.993-1005
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    • 2008
  • Let {$X,\;X_n;n{\geq}1$} be a sequence of i.i.d. random variables. Set $S_n=X_1+X_2+{\cdots}+X_n,\;M_n=\max_{k{\leq}n}|S_k|,\;n{\geq}1$. Then we obtain that for any -1$\lim\limits_{{\varepsilon}{\searrow}0}\;{\varepsilon}^{2b+2}\sum\limits_{n=1}^\infty\;{\frac {(log\;n)^b}{n^{3/2}}\;E\{M_n-{\varepsilon}{\sigma}\sqrt{n\;log\;n\}+=\frac{2\sigma}{(b+1)(2b+3)}\;E|N|^{2b+3}\sum\limits_{k=0}^\infty\;{\frac{(-1)^k}{(2k+1)^{2b+3}$ if and only if EX=0 and $EX^2={\sigma}^2<{\infty}$.

PRECISE ASYMPTOTICS IN STRONG LIMIT THEOREMS FOR NEGATIVELY ASSOCIATED RANDOM FIELDS

  • Ryu, Dae-Hee
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.1025-1034
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    • 2010
  • Let {$X_n$, $n\;{\in}\;\mathbb{Z}_+^d$} be a field of identically distributed and negatively associated random variables with mean zero and set $S_n\;=\;{\sum}_{k{\leq}n}\;X_k$, $n\;{\in}\;\mathbb{Z}_+^d$, $d\;{\geq}\;2$. We investigate precise asymptotics for ${\sum}_n|n|^{r/p-2}P(|S_n|\;{\geq}\;{\epsilon}|n|^{1/p}$ and ${\sum}_n\;\frac{(\log\;|n|)^{\delta}}{|n|}P(|S_n|\;{\geq}\;{\epsilon}\;\sqrt{|n|\log|n|)}$, ($0\;{\leq}\;{\delta}\;{\leq}\;1$) as ${\epsilon}{\searrow}0$.

Wind profiles of tropical cyclones as observed by Doppler wind profiler and anemometer

  • He, Y.C.;Chan, P.W.;Li, Q.S.
    • Wind and Structures
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    • 제17권4호
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    • pp.419-433
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    • 2013
  • This paper investigates the vertical profiles of horizontal mean wind speed and direction based on the synchronized measurements from a Doppler radar profiler and an anemometer during 16 tropical cyclones at a coastal site in Hong Kong. The speed profiles with both open sea and hilly exposures were found to follow the log-law below a height of 500 m. Above this height, there was an additional wind speed shear in the profile for hilly upwind terrain. The fitting parameters with both the power-law and the log-law varied with wind strength. The direction profiles were also sensitive to local terrain setups and surrounding topographic features. For a uniform open sea terrain, wind direction veered logarithmically with height from the surface level up to the free atmospheric altitude of about 1200 m. The accumulated veering angle within the whole boundary layer was observed to be $30^{\circ}$. Mean wind direction under other terrain conditions also increased logarithmically with height above 500 m with a trend of rougher exposures corresponding to lager veering angles. A number of empirical parameters for engineering applications were presented, including the speed adjustment factors, power exponents of speed profiles, and veering angle, etc. The objective of this study aims to provide useful information on boundary layer wind characteristics for wind-resistant design of high-rise structures in coastal areas.

제주도 풍력발전단지 설계를 위한 조도계수 산정에 대한 연구 (The Study on Assessment of Roughness Coefficient for Designing Wind Farm in Jeju Island)

  • 고정우;권혁춘;이병걸
    • 대한공간정보학회지
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    • 제20권2호
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    • pp.15-22
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    • 2012
  • 지면위의 풍속의 변화를 높이별 풍속변화(wind shear)아고 한다. 풍력자원 평가 분야에서 전통적으로 이런 높이별 풍속 변화특성을 수학적으로 두 가지 방법으로 분석한다. 이를 대수법칙(Lograthmic law)과 멱법칙(Power law)이라 한다. 대수법칙은 표면 거칠기를 파라미터로 멱법칙의 경우 멱지수를 파라미터로 사용한다. 높이별 풍속변화는 여러 가지 인자에 의하여 영항을 받는다. 대부분은 대기의 안정도와 주변의 지형에 의한 거칠기에 현저한 영향을 받는다. 대기안정도는 계절적, 하루의 시간 변화나 기상학적 변화에 의한 영항을 받는다. 표면의 거칠기와 멱지수 역시 시간의 변화에 따라 변화하는 경향을 보인다. 본 연구에서는 제주 평대와 한동 지역의 풍황 관측데이터를 이용하여 메트랩과 windograper를 이용하여 조도 길이와 멱지수를 계산 하였다. 이 결과는 참조데이터들과 유사한 결과를 보이긴 했지만 범위는 차이를 보이고 있었다. 선행 연구와 비교한 결과 해양의 경우 비슷한 결과를 보였지만 농작지의 경우 보다 높은 범위를 농촌마을이 경우 보다 낮은 범위를 보이고 있었다.

비트-슬라이스 마이크로프로세서를 이용한 LOG PCM/ADPCM 부호변환시스템 설계

  • 조정연;이영호
    • ETRI Journal
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    • 제6권3호
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    • pp.9-16
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    • 1984
  • This paper describes $\mu$-law PCM/ADPCM Code Conversion System. The system algorithm is computer-simulated, and with the result of simulation the system is designed by using the Am 2900 family's Bit-Slice Microprocessors which have a high-speed processing power. The ADPCM algorithm is based on Jayant's model and the converting algorithm between $\mu$-law PCM and linear PCM is developed according to the CCITT Recommendation G. 711.

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