• Journal of the Korean Data and Information Science Society
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• 제10권1호
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• pp.243-250
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• 1999

We consider $Y=X{\lambda}Z,\;{\lambda}>0$, where X and Z are independent random variables, and Y is the length biased distribution or the equilibrium distribution of X. The purpose of this paper is to consider the distribution of X or Y when the distribution of Z is given and the distribution of Z when the distribution of X or Y is given, In particular, we obtain that the necessary and sufficient conditions for X to be $X^{2}({\upsilon})\;is\;Z{\sim}X^{2}(2)\;and\;for\;Z\;to\;be\;X^{2}(1)\;is\;X{\sim}IG({\mu},\;{\mu}^{2}/{\lambda})$, where $IG({\mu},\;{\mu}^{2}/{\lambda})$ is two-parameter inverse Gaussian distribution. Also we show that X is smaller than Y in the reverse Laplace transform ratio order if and only if $X_{e}$ is smaller than $Y_{e}$ in the Laplace transform ratio order. Finally, we can get the results that if X is smaller than Y in the Laplace transform ratio order, then $Y_{L}$ is smaller than $X_{L}$ in the Laplace transform order, and that if X is smaller than Y in the reverse Laplace transform ratio order, then $_{\mu}X_{L}$ is smaller than $_{\nu}Y_{L}$ in the Laplace transform order.

• 한국수산과학회지
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• 제42권5호
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• pp.509-517
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• 2009

Seagrass meadows are important biogenic habitats for a wide variety of marine animals and plants, a source of organic carbon for commercially important animals, and act as a nutrient filter in estuarine and coastal ecosystems. As such, mapping the distribution of seagrass beds provides us with an important component of management and conservation strategies. To survey seagrass distribution within Deukryang Bay, we directly observed seagrass beds using SCUBA in Boseong-gun, Goheung-gun, and Jangheung-gun. Seagrass distribution in Geogeum and Gumdang islands were not observed. Specifically, we monitored the distribution area, species composition, morphology, density, and biomass of seagrass meadows. Seagarss beds were mapped for Daikum-ri coast, Deukryang island, Yongjeong-ri coast, Samsan-ri coast and Ongam-ri coast. Total seagrass coverage in Deukryang Bay was $5.1\;km^2$, $4.8\;km^2$ of which was Zostera marina, $0.3\;km^2$ Z. caulescence and $0.01\;km^2$ Z. japonica. Z. japonica was found in intertidal zones, Z. marina was found from the intertidal to subtidal zones of 2 m MSL (mean sea level) depth, and Z. caulescence was found in subtidal zones of 2.5-5 m MSL.

• Journal of Ecology and Environment
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• 제46권2호
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• pp.111-125
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• 2022

Background: Zanthoxylum armatum is one of the 30 prioritized medicinal plants for economic development of Nepal with a high trade value. Understanding the ecology of individual species is important for conservation and cultivation purposes. However, relation of ecological factors on the distribution and populations of Z. armatum in Nepal remain unknown. To address this knowledge gap, an attempt has been made to study the population structure, distribution, and regeneration potentiality of Z. armatum. Vegetation sampling was conducted at six different localities of Salyan district along the elevation range of 1,000 m to 2,000 m. Results: Altogether 50 plant species belonging to 44 genera under 34 families were found to be associated with Z. armatum. Significantly higher species richness was found at Rim (1,400-1,700 m) and Chhatreshwori (1,800-2,000 m) and lower at Kupinde (1,600-1,800 m). The highest population density of Z. armatum was at Kupinde (1,600-1,800 m) with a total of 1,100 individuals/ha. and the lowest at Chhatreshwori (1,800-2,000 m) with 740 individuals/ha. Based on the A/F value (Whitford index), it can be said that Z. armatum has random distribution in the study area. The plants were categorized into seedlings, saplings and adults based on plant height and the status of natural regeneration category determined. The regeneration potentiality of Z. armatum in the study area was fair with the average seedlings and saplings densities of 150 and 100 individuals/ha. Respectively. A Shannon-Weinner index mean value of 2.8 was obtained suggesting high species diversity in the study area. Conclusions: The natural distribution and regeneration of Z. armatum is being affected in the recent years due to anthropogenic disturbances. Increasing market demand and unsustainable harvesting procedures are posing serious threat to Z. armatum. Thus, effective conservation and management initiatives are most important for conserving the natural population of Z. armatum in the study area.

• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.261-265
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• 2017

Let X and Y be independent identically distributed nondegenerate random variables with common absolutely continuous probability distribution function F(x) and the corresponding probability density function f(x) and $E(X^2)$<${\infty}$. Put Z = max(X, Y) and W = min(X, Y). In this paper, it is proved that Z - W and Z + W or$(X-Y)^2$ and X + Y are independent if and only if X and Y have normal distribution.

• 대한수학회보
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• 제47권3호
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• pp.443-454
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• 2010

In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation $f^{(n)}+A_{n-2}(z)f^{(n-2)}+{\cdots}+A_1(z)f'+A_0(z)f=0(n{\geq}2)$ in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.

• 전기학회논문지
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• 제57권12호
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• pp.2161-2166
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• 2008

This paper deals with a Z-source active power filter(Z-AFU) for mitigation voltage THD(total harmonic distortion) due to voltage harmonic propagation(amplification) in 6.6kv power distribution system. Bus voltage harmonic signal is detected by 60Hz butterworth BPF(band pass filter). As an ESS(energy storage system) of the proposed system, PEM fuel cells(Ballard NEXA, 1.2kw) is employed. Test results based on PSIM(power electronics simulation tool) validate the proposed approach.

• 환경생물
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• 제30권4호
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• pp.339-348
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• 2012

제주도와 추자도에 자생하는 보호대상해양생물인 잘피 자생지의 서식 현황을 조사하기 위해 2011년 7월 GPS를 활용하여 서식면적을 기록하였고, 직접적인 잠수 조사로 서식 현황을 확인하였다. 잘피가 자생하는 곳은 해수와 퇴적물 공극수의 영양염 분석과 함께 분포 면적, 종조성, 형태적 특성, 밀도와 생물량을 조사하였다. 추자도에는 3종의 거머리말속 잘피(거머리말, 수거머리말, 포기거머리말)가 출현한 것에 비하여 제주도에는 거머리말 한 종이 동북연안에서만 서식하고 있었다. 제주도의 거머리말 서식면적은 $238,572m^2$이고, 추자도의 잘피 서식면적은 $23,584m^2$로 수거머리말이 $21,216m^2$, 포기거머리말이 $1,870m^2$, 거머리말이 $498m^2$를 차지하고 있었다. 제주도와 추자도의 거머리말은 조간대부터 조하대 평균 수심 5m까지 출현하였다. 추자도의 포기거머리말과 수거머리말은 각각 조하대 평균 수심 3~4m와 4~6m에서 출현하였다.

• 대한수학회보
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• 제53권1호
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• pp.29-38
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• 2016

For a transcendental entire function f(z) with zero order, the purpose of this article is to study the value distributions of q-difference polynomial $f(qz)-a(f(z))^n$ and $f(q_1z)f(q_2z){\cdots}f(q_mz)-a(f(z))^n$. The property of entire solution of a certain q-difference equation is also considered.

• Kyungpook Mathematical Journal
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• 제61권1호
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• pp.99-110
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• 2021

In the present paper, we determine new characterisations of the subclasses ����∗��(α, β; γ) and ������(α, β; γ) of analytic functions associated with Pascal distribution series ${\Phi}^m_q(z)=z-{\sum_{n=2}^{\infty}}(^{n+m-2}_{m-1})q^{n-1}(1-q)^mz^n$. Further, we give necessary and sufficient conditions for an integral operator related to Pascal distribution series ${\mathcal{G}}^m_qf(z)={\int_{0}^{z}}{\frac{{\Phi}^m_q(t)}{t}}dt$ to belong to the above classes. Several corollaries and consequences of the main results are also considered.

• 한국지구과학회지
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• 제38권7호
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• pp.511-521
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• 2017

본 연구는 우적크기분포의 통계적 특성과 변동성을 알아보기 위하여, 2011-2012년 대구지역 2차원광학우적계자료를 분석하여 Marshall and Palmer(1948)의 우적크기분포 특성과 비교하였다. 우적크기분포의 특성변수로 강우강도(R), 레이더 반사도(Z), 보편특성수농도($N{_0}^{\prime}$), 보편특성직경($D{_m}^{\prime}$)을 계산하였다. 또한 스케일링 법칙을 사용하여 우적크기분포의 정규화 여부를 확인하였다. 분석 결과, 대구지역의 우적크기분포는 평균적으로 ${\log}_{10}N{_0}^{\prime}=2.37$, $D{_m}^{\prime}=1.04mm$이며 형태 인자의 경우 c =2.37, ${\mu}=0.39$를 가졌다. 대구지역의 우적크기분포를 Marshall and Palmer의 우적크기분포로 가정하여 계산한 결과, 평균적으로 ${\log}_{10}N{_0}^{\prime}=2.27$, $D{_m}^{\prime}=0.9mm$, c =1, ${\mu}=1$를 가졌다. 이 차이로부터 대구지역 우적크기분포는 Marshall and Palmer(1948)의 우적크기분포보다 통계적으로 더 높은 액체수함량을 가짐을 알 수 있다. 우적크기분포의 형태를 비교한 결과, 대구지역 우적크기분포는 위로 볼록한 모양이었다. Z > 45 dBZ를 기준으로 우적크기분포 형태에 변화가 있었다. 35 dBZ ${\leq}$ Z > 45 dBZ에서 대구지역 우적크기분포 특성은 해양성 기후대와 유사하였으나 Z > 45 dBZ에서는 Marshall and Palmer의 우적크기분포 특성과 유사하였다.