• Title/Summary/Keyword: permutation group

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THE 3D BOUSSINESQ EQUATIONS WITH REGULARITY IN THE HORIZONTAL COMPONENT OF THE VELOCITY

  • Liu, Qiao
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.649-660
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    • 2020
  • This paper proves a new regularity criterion for solutions to the Cauchy problem of the 3D Boussinesq equations via one directional derivative of the horizontal component of the velocity field (i.e., (∂iu1; ∂ju2; 0) where i, j ∈ {1, 2, 3}) in the framework of the anisotropic Lebesgue spaces. More precisely, for 0 < T < ∞, if $$\large{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_o}^T}({\HUGE\left\|{\small{\parallel}{\partial}_iu_1(t){\parallel}_{L^{\alpha}_{x_i}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}+}{\HUGE\left\|{\small{\parallel}{\partial}_iu_2(t){\parallel}_{L^{\alpha}_{x_j}}}\right\|}{\small^{\gamma}_{L^{\beta}_{x_{\hat{i}}x_{\bar{i}}}}})dt<{{\infty}},$$ where ${\frac{2}{{\gamma}}}+{\frac{1}{{\alpha}}}+{\frac{2}{{\beta}}}=m{\in}[1,{\frac{3}{2}})$ and ${\frac{3}{m}}{\leq}{\alpha}{\leq}{\beta}<{\frac{1}{m-1}}$, then the corresponding solution (u, θ) to the 3D Boussinesq equations is regular on [0, T]. Here, (i, ${\hat{i}}$, ${\tilde{i}}$) and (j, ${\hat{j}}$, ${\tilde{j}}$) belong to the permutation group on the set 𝕊3 := {1, 2, 3}. This result reveals that the horizontal component of the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

A Multilevel Key Distribution using Pseudo - random Permutations (의사 랜덤치환을 이용한 다중레벨 키분배)

  • Kim, Ju-Seog;Shin, Weon;Lee, Kyung-Hyune
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.10
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    • pp.2493-2500
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    • 1997
  • We propose a new key management scheme for multiuser group which is classified as hierarchical structure (sometimes it is called a multilevel security hierarchy) in the symmetric key cryptosystem. The proposed scheme is based on the trapdoor one-way permutations which are generated by the pseudo-random permutation algorithm, and it is avaliable for multilevel hierarchical structure composed of a totally ordered set and a partially ordered set, since it has advantage for time and storage from an implemental point of view. Moreover, we obtain a performance analysis by comparing with the other scheme, and show that the proposed scheme is very efficient for computing time of key generation and memory size of key storage.

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Distributional Pattern of Tree Species in Response to Soil Variables in a Semi Natural Tropical Forest of Bangladesh

  • Ara, Saida Hossain;Limon, Mahedi Hasan;Kibria, Mohammad Golam
    • Journal of Forest and Environmental Science
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    • v.37 no.1
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    • pp.14-24
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    • 2021
  • A plant community is a group of populations that coexist in space and interact directly or indirectly with the environment. In this paper, we determined the pattern of tree species composition in response to soil variables in Khadimnagar National Park (KNP), which is one of the least studied tropical forests in Bangladesh. Soil and vegetation data were collected from 71 sample plots. Canonical Correspondence Analysis (CCA) with associated Monte Carlo permutation tests (499 permutations) was carried out to determine the most significant soil variable and to explore the relationship between tree species distribution and soil variables. Soil pH and clay content (pH with p<0.01 and Clay content with p<0.05) were the most significant variables that influence the overall tree species distribution in KNP. Soil pH is related to the distribution and abundance of Syzygium grande and Magnolia champaca, which were mostly found and dominant species in KNP. Some species were correlated with clay content such as Artocarpus chaplasha and Cassia siamea. These observations suggest that both the physico-chemical properties of soil play a major role in shaping the tree distribution in KNP. Hence, these soil properties should take into account for any tree conservation strategy in this forest.

An Effect of a Self-Efficacy Information Resources Program on Perceived Self-Efficacy and Self-Care in Patients with Coronary Artery Disease (자기효능 정보자원 프로그램이 관상동맥 질환 환자의 지각된 자기효능감과 자가간호행위에 미치는 효과)

  • Shin, Ju-Young;Khim, Soon-Yong
    • Korean Journal of Adult Nursing
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    • v.14 no.1
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    • pp.114-124
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    • 2002
  • Purpose: This study was conducted to investigate whether a self-efficacy information resources program based on the self-efficacy theory of Bandura (1986) would increase self-efficacy and self-care in patients with CAD. Method: The study was a one group, pretest-posttest pre-experimental design research. The Self-Efficacy Information Resources Program was composed of a video tape program and a telephone coaching program and based on vicarious experiences and verbal persuation. The Program was used as an experimental treatment from February 27. to May 27, 1999. Twenty patients participated from a university hospital located in Seoul. Three days later after a pretest the telephone coaching program was given. It was repeated weekly during a 3 week period. At the end of this period post-test data were collected by mail. Data were analyzed with a random permutation test using SAS program. Result: 1) Scores on self-efficacy after the Self-Efficacy Information Resources Program were significantly higher than before the program (p=0.06). 2) Scores on self-care after the Program were significantly higher (subjective self-care, p=0.0005; objective self-care, p= 0.0002) than before the program. Conclusion: The Program was found to be an effective nursing intervention for increasing self-efficacy and self-care. When nurses who care for CAD patients plan to increase their patients' self care ability, they should always consider the concept of self-efficacy.

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Detection of major genotypes combination by genotype matrix mapping (유전자 행렬 맵핑을 활용한 우수 유전자형 조합 선별)

  • Lee, Jea-Young;Lee, Jong-Hyeong;Lee, Yong-Won
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.3
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    • pp.387-395
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    • 2010
  • It is important to identify the interaction of genes about human disease and characteristic value. Many studies as like logistic analysis, have associated being pursued, but, previous methods did not consider the sub-group of the genotypes. So, QTL interactions and the GMM (genotype matrix mapping) have been developed. In this study, we detect the superior genotype combination to have an impact on economic traits of Korean cattle based on the study over GMM method. Thus, we identified interaction effects of single nucleotide polymorphisms (SNPs) responsible for average daily gain(ADG), marbling score (MS), carcass cold weight (CWT), longissimus muscle dorsiarea (LMA) using GMM method. In addition, we examine significance of the major genotype combination selected by implementing permutation test of the F-measure which was not obtained by Sachiko et al.

Community Structure and Understory Vegetation Distribution Pattern of Fagus engleriana Stand in Is. Ulleung (울릉도 너도밤나무림의 군집구조와 하층식생의 분포특성)

  • Cheon, Kwang-Il;Jung, Sung-Cheol;Lee, Chang-Woo;Byeon, Jun-Gi;Joo, Sung-Hyun;You, Ju-Han;Lee, Seul-Gi;Choi, Cheol-Hyun;Park, In-Hwan
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.15 no.4
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    • pp.81-95
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    • 2012
  • This study was intended for Fagus engleriana stand in Is. Ulleung where the disturbance of vegetation has been caused by the exploitation and the increase of tourists. For the effective conservation and management on this issue, this study was conducted provide basic data. The sixteen study sites ($20{\times}20m$) were installed in the dominant Fagus engleriana stand and the base environment and vegetation were investigated. The Fagus engleriana stand was classified into two groups, The Fagus engleriana stand was classified into two groups, community A is Fagus engleriana-Sorbus amurensis and community B is Fagus engleriana-Acer pictum subsp. Mono by cluster analysis and community A were nothing signigicant by indicator species analysis. Community B were Eight species (Tsuga sieboldii, Camellia japonica, Dystaenia takesimana ect.) significant by indicator species analysis. The diameter class of 16cm to 25cm was 53.7% in population structure of Fagus engleriana, which was the highest and showed inverse J-distribution. Species diversity index (H') of investigated woody layer group ranged from 0.99 to 2.05 and that of under layer group ranged from 1.75~2.59. According to Non-metric Multidimensional Scaling (NMS) analysis, the woody layer was divided into community A developed in the region having relatively high sand content at high altitudes and community B formed at the place having relatively high clay content at low altitudes. Then this classification was significant through Multi-Response Permutation Procedures (MRPP) analysis. The distribution of understory vegetation through Detrended Correspondence Analysis (DCA) was induced by the silt content and cover degree of vegetation layer.

Community Structure of Pinus thunbergii Stand in the Eastern Coast of Gyeongsangbuk-do (경상북도 동해안 곰솔림의 군집구조)

  • Cheon, Kwang-Il;Jung, Sung-Cheol;Youn, Ho-Joong;Byeon, Jun-Gi;Joo, Sung-Hyun
    • Journal of agriculture & life science
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    • v.46 no.4
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    • pp.57-68
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    • 2012
  • This study was conducted to provide basic data for the effective conservation and management in the black pine(Pinus thunbergii) stand which is located in the eastern coast of Gyeongsangbuk-do where the fragmentation of vegetation has been caused by the exploitation and the increase of tourists, and installed the seventy study sites($20{\times}20m$) in the dominant black pine stand. The black pine stand was classified into three groups(P. thunbergii - P. densiflora community, P. thunbergii - Robinia pseudoacacia community, P. thunbergii - P. densiflora-Celtis sinensis community) by a cluster analysis. As a result of Multi-Response Permutation Procedures test, there is significance among the communities. Pinus densiflora, Callicarpa japonica, Juniperus rigida, Rhododendron yedoense for. poukhanense etc. nineteen species were significant by indicator species analysis. The population structure of black pine stand showed that the class of diameter 12 to 26 cm was dominance, which had the inverse hump-shape pattern. Species diversity index(H') of investigated ranged from $1.033{\pm}0.234$ to $1.629{\pm}0.226$ in the woody layer group and from $2.448{\pm}0.457$ to $2.545{\pm}0.318$ $2.174{\pm}0.333$ in the herb layer group.

A Study on Lightweight Block Cryptographic Algorithm Applicable to IoT Environment (IoT 환경에 적용 가능한 경량화 블록 암호알고리즘에 관한 연구)

  • Lee, Seon-Keun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.3
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    • pp.1-7
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    • 2018
  • The IoT environment provides an infinite variety of services using many different devices and networks. The development of the IoT environment is directly proportional to the level of security that can be provided. In some ways, lightweight cryptography is suitable for IoT environments, because it provides security, higher throughput, low power consumption and compactness. However, it has the limitation that it must form a new cryptosystem and be used within a limited resource range. Therefore, it is not the best solution for the IoT environment that requires diversification. Therefore, in order to overcome these disadvantages, this paper proposes a method suitable for the IoT environment, while using the existing block cipher algorithm, viz. the lightweight cipher algorithm, and keeping the existing system (viz. the sensing part and the server) almost unchanged. The proposed BCL architecture can perform encryption for various sensor devices in existing wire/wireless USNs (using) lightweight encryption. The proposed BCL architecture includes a pre/post-processing part in the existing block cipher algorithm, which allows various scattered devices to operate in a daisy chain network environment. This characteristic is optimal for the information security of distributed sensor systems and does not affect the neighboring network environment, even if hacking and cracking occur. Therefore, the BCL architecture proposed in the IoT environment can provide an optimal solution for the diversified IoT environment, because the existing block cryptographic algorithm, viz. the lightweight cryptographic algorithm, can be used.

Exposure Assessment for Polycyclic Aromatic Hydrocarbons in the Model Menu System of Korean (한국인의 모델식이에 대한 다환방향족탄화수소류(PAHs)의 인체노출량평가)

  • Kim YunHee;Yoon EunKyung;Lee HyoMin;Park KyungAh;Jun EunAh;Lee CherlHo;Choi SangYun;Lim SeungTaek;Ze KeumRyun;Choi KwangSik
    • Journal of Food Hygiene and Safety
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    • v.19 no.4
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    • pp.176-184
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    • 2004
  • This study was conducted to compare and estimate the daily PAHs dietary intake from both home-cooking and dining-out, through approach of model diet used in exposure assessment of food contaminants. Food commodities reflecting in model diet were selected from the KHIDI report and were analysed in cooked or uncooked edible forms using HPLC-Fluorscence Detector. The PAHs dietary intake comparison between home-cooking and dining-out was based on one meal intake suggested in model diet and PAHs dietary intake was estimated by using food consumption rate and body weight of the Korean adult group. The daily PAHs dietary intake was calculated by permutation and combination method with assumption that a person consumed 2 meals from home-cooking menu and 1 meal from dining-out menu. The total PAHs levels in 36 food commodities with 200 samples were ranged from 2.00 ug/kg to 141.28 ug/kg and a food showing the highest PAHs level was the stir-fried anchovy. The $TEQ_{BaP}$ levels of PAHs were calculated using benzo(a)pyrene equivalents individual congener level and corresponding TEF value and the $TEQ_{BaP}$ level were ranged from $0.03\;ugTEQ{BaP}$ to $1.31\;ugTEQ_{BaP}$ and a food showing the highest $TEQ_{BaP}$ level was the hamburger. The PAHs dietary intakes per one meal from home-cooking and dining-out were $2.4\times10^{-3}\;ugTEQ_{BaP}/kg/meal\;and\;4.0\times10^{-3}\;ugTEQ_{BaP}/kg/meal$, respectively. This data showed the PAHs dietary intake from dining-out was about 1.7 times higher than from the home-cooking. The daily PAHs dietary intakes of general Korean adult having two meals from home-cooking and one meal from dining-out per a day were ranged between $8.0\times10^{-3}\~9.7\times10^{-3}\;ugTEQ_{BaP}/gg/day$ and mean value as $8.9\times10^{-3}\~9.7\times10^{-3}\;ugTEQ_{BaP}/gg/day$.