• Title/Summary/Keyword: N:M correspondence

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Performance of Self-Manufactured Ion Selective Microelectrode (ISME) for Continuous Monitoring of Ammonia and Nitrate Ions

  • Byun, Im-Gyu
    • Journal of Environmental Science International
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    • v.21 no.12
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    • pp.1449-1454
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    • 2012
  • The ion selective microelectrodes (ISME) have been applied to observe the continuous profiles of NO3-N and NH4-N in bulk solutions or biofilms. In order to evaluate the performance and applicability of ion concentration measuring system, the characteristics, such as slope of calibration curve, detection limit and potentiometric selectivity coefficient were investigated. The slopes of calibration curve showed high degree of correspondence for each target ion concentrations. And the detection limits of nitrate and ammonia ion selective microelectrode were 10-4.7 M and 10-4.4 M, respectively. These ion selective microelectrodes were proved that their own performance could be maintained for 16 days after making. NO3-N and NH4-N selective microelectrodes were also adapted to detect the continuous ion profiles of cilia media packed MLE (Modified Ludzack-Ettinger) process. And the monitored nitrate and ammonia ion profiles with the ion selective microelectrode were stable and well corresponded to the results with conventional ion chromatograph. However, the electric potential was unstable until 8 hr because of the unknown noise. The tip shape and performance of the ion selective microelectrode was stably kept over 2 days continuous monitoring.

PRIME M-IDEALS, M-PRIME SUBMODULES, M-PRIME RADICAL AND M-BAER'S LOWER NILRADICAL OF MODULES

  • Beachy, John A.;Behboodi, Mahmood;Yazdi, Faezeh
    • Journal of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1271-1290
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    • 2013
  • Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime (resp. M-semiprime) submodule of X such that in the case M=R, it coincides with prime (resp. semiprime) submodule of X. Other concepts encountered in the general theory are M-$m$-system sets, M-$n$-system sets, M-prime radical and M-Baer's lower nilradical of modules. Relationships between these concepts and basic properties are established. In particular, we identify certain submodules of M, called "primeM-ideals", that play a role analogous to that of prime (two-sided) ideals in the ring R. Using this definition, we show that if M satisfies condition H (defined later) and $Hom_R(M,X){\neq}0$ for all modules X in the category ${\sigma}[M]$, then there is a one-to-one correspondence between isomorphism classes of indecomposable M-injective modules in ${\sigma}[M]$ and prime M-ideals of M. Also, we investigate the prime M-ideals, M-prime submodules and M-prime radical of Artinian modules.

MATHEMATICAL ANALYSIS FOR A DYNAMIC CIPHER

  • JUNG YOON-TAE;CHOI EUN-HEE;RIM KWANG-CHEOL
    • The Pure and Applied Mathematics
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    • v.12 no.2 s.28
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    • pp.143-152
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    • 2005
  • We present a new block cipher called DyC. It consists of four sets (procedures) having the different $2^2,\;2^2,\;2^4$, and $2^8$ one-to-one correspondence functions as the elements. The round key is used to determine exactly one composite function from the possible $2^{16}$ composite functions. DyC supports 8 $\times$ n bit key size, 16 $\times$ m bit block length, and n rounds. We have confirmed that DyC offers security against other well-known advanced cryptanalytic attacks including the slide attacks and interpolation attacks. In this paper, we show several properties of the key schedule of DyC by mathematical analysis.

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Cellulose Degradation and Extracellulat Enzymatic Activity of the Mud Flat in Sunchon Bay (순천만 갯벌 토양의 섬유소 분해능 및 체외효소 활성)

  • 백근식;최지혁;성치남
    • Korean Journal of Microbiology
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    • v.36 no.2
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    • pp.130-135
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    • 2000
  • Decomposition rate of organic matiter in the mud flat of Sunchon Bay was estimated. Physicochemical parameters, cellulose degradation rate. distribution of heterotrophic bacteria, and extracellular enzymatic activities were measured from August 1997 to July 1998. Soil temperatures, water contents, concentration of $PO_4$-P and organic matter were -1-~$30^{\circ}C$, 42.1-53.1%, 0.0779-0.1961 mgig and 1.99-7.64%, respectively. Decomposition rate of cellulose film ranged from 7.7 to 100%imonth, high in summer and low in winter. The number of heterotrophic bacteria ranged from $0.87{\times}10^6 to 3.6{\times}10^7 $CUFsIg dq soil. Enzymatic activities of phosphatase, $\alpha$-D-gluEosidase, $\beta$-D-glucosidase and cellobiohydrolase, which were measured as decomposition rate of methylumbelliferyl(MLiF)-substrate, were 152.23-1779.80 nMIhr, 2.67-202.18 nM/hr, 5.03-258.26 M h r and 3.42-63.07 nM/hr, respectively Cellulose degradaaon rate and extracellular extracellular enzymatic activities were conelated with each other, and showed high correlation coefticiency with soil temperature.

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Cyclic compressive loading-unloading curves of brick masonry

  • AlShebani, Milad M.;Sinha, S.N.
    • Structural Engineering and Mechanics
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    • v.9 no.4
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    • pp.375-382
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    • 2000
  • Experimental investigation into the cyclic behaviour of sand plast brick masonry was performed on forty two square panels. The panels were subjected to cyclic uniaxial compression for two cases of loading: normal to bed joint and parallel to bed joint. Experimental data were used to plot the unloading-reloading curves for the entire range of the stress-strain curve. Mathematical expressions to predict the reloading and unloading stress-strain curves at various values of residual strain are proposed. A simple parabola and an exponential type formula are found adequate to model the unloading and reloading curves respectively. The models account for the potential effects of residual strain on these curves. Comparison of test results with the proposed mathematical expression shows good correspondence.

Modeling of a Software Vulnerability Identification Method

  • Diako, Doffou jerome;N'Guessan, Behou Gerard;ACHIEPO, Odilon Yapo M
    • International Journal of Computer Science & Network Security
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    • v.21 no.9
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    • pp.354-357
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    • 2021
  • Software vulnerabilities are becoming more and more increasing, their role is to harm the computer systems of companies, governmental organizations and agencies. The main objective of this paper is to propose a method that will cluster future software vulnerabilities that may spread. This method is developed by combining the Multiple Correspondence Analysis (MCA), the Elbow procedure and the Kmeans Algorithm. A simulation was done on a dataset of 15713 observations. This simulation allowed us to identify families of future vulnerabilities. This model was evaluated using the silhouette index.

Application of Tidal Computations for Mokpo Coastal Zone (목포해역에서의 조석모형 적용)

  • Oh, N.S.;Kang, J.H.
    • Journal of Korean Port Research
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    • v.12 no.1
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    • pp.105-111
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    • 1998
  • A horizontal 2-D model which includes the wetting-drying treatment technique in the intertidal zone is applied for the prediction of tidal changes. The flow model is applied to Mokpo coastal zone and verified by measurement data. Comparing computation results with observed values for the M2 tidal constituent, agreeable correspondence is detected. The validity of the model is also proven by applying it to such areas which have narrow width and rapid velocity, irregular topography and complex geometry. Thus, this model can be used as the compatible prediction model for the tidal change and pollutant transport due to the development of Mokpo coastal zone.

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Community Structures of Evergreen Broad-leaved Forest of Mt. Yeogwi in Jin-do Island (진도 여귀산 상록활엽수림의 군집구조)

  • Jang, Jeong Jae;Kim, Joon Sun
    • Journal of Korean Society of Forest Science
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    • v.94 no.6
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    • pp.410-419
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    • 2005
  • Community structure of evergreen broad-leaved forest of Mt. Yeogwi in Jin-do was investigated to secure sustainable conservation of evergreen broad-leaved forest. Twenty survey plots of $20m{\times}20m$ were established along the elevation from 200 m to 390 m above the sea level in the northwestern slope. The woody species were tallied at each plots. DBH distribution of the major evergreen broad-leaved trees was investigated to find out the spatial distribution. Cluster analysis was applied to a set of vegetation data, that is, importance value to classify the forest community. Species diversity, evenness and species correlation were analysed. Canonical correspondence analysis was also applied to vegetation data and soil environmental data. Cluster analysis showed that the forests of Mt. Yeogwi were classified into 2 community groups, such as Camellia japonica community group and Quercus acuta community group. C japonica community group was subdivided into C japonica- evergreen broad-leaved trees community, C. japonica-Neolitsea sericea community, and C. japonica-deciduous broad-leaved trees community. Q. acuta community group was subdivided into Q. acuta-C. japonica community, and Q. acuta community. C. japonica, Q. acuta, N. sericea, Machilus thunbergii and Illicium religiosum were dominant evergreen broad-leaved tree species, while Styrax japonica, Lindera erythrocarpa, Cornus kousa, Prunus sargentii, Albizzia julibrisin and Quercus acutissima were major deciduous tree species. Species diversity was greater in Q. acuta community group (0.8231 for Q. acuta-C. japonica community, and 0.8135 for Q. acuta community) than in C. japonica community group (0.7674 for C. japonica-evergreen broad-leaved trees community, 0.6164 for C. japonica-N. sericea community, and 0.7931 for C. japonica-deciduous broad-leaved trees community). DBH 2 cm~10 cm of major evergreen broad-leaved trees occupied 80% of all. C. japonica of less than DBH 5 cm tended to aggregate but distribute randomly or regularly with increasing DBH. Q. acuta distributed more aggregately than C. japonica and Machilus thunbergii for more than 15 cm of DBH. C. japonica correlated negatively with Q. acuta, I. religiosum and C. kousa, but positively with N. sericea. with significance at 1% level. Q. acuta correlated negatively with C. japonica, N. sericea and M. thunbergii but positively with l. religiosum. There were also negative correlation between N. sericea and C. kousa. CCA showed that forest communities were correlated with soil variables such as CEC, soil organic matter and soil pH. With increased soil organic matter and CEC, and decreased soil pH, C. japonica was dominant and forest community and Q. acuta and N. sericea tended to develop in the evergreen broad-leaved forest.

Heterotrophic Bacterial Secondary Productivity and Effect of Environmental Parameters is Naktong Embayment Korea (낙동강하구 연안수역의 세균 생산성과 환경요인의 영향)

  • 김미정;윤인길;정익교;권오섭
    • Korean Journal of Microbiology
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    • v.36 no.2
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    • pp.125-129
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    • 2000
  • The ecology of estuarine bacteria in terms of bactenal production and biomass was investigated in Naktong embayment. Intrusion of eutrophic freshwater was one of the major factors affecting on the ecosystem of Naktong embayment. Total bacterial number varied from $2.2{\times}10^5 cells/ml to 9.8{\times}10^5 $ cellslml, and the variation ranges of the bacterial biovolume and biomass were 0.023-0.201TEX>$\mu$$m^3$/cell and 0.010-0.140 TEX>$\mu$g-Clml, respectively, and there was a reciprocal relationship between bacterial number and biomass. Pool size of thymidine varied from 12.93 nM to 44.56 nM. The pool during summer was supposed to be composed of easily utilizable form than the typical one of winter, which suggests thal bacterial productivity measured in summer may be underestimated. Bactenal production varied from 0.12 TEX>$\mu$g-Cllh to 22.38 TEX>$\mu$g-Clllh, and the values were low in winter and increased from spring and reached the highest in summer. The variations of bacterial production showed high correlations with temperature, chlorophyll a, and bacterial biomass. These results suggested that the main source of organic matters which influence the bacterial production in Naktong embayment may be the photosynthetic excretory products of phytoplanktons.

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Construction of Branching Surface from 2-D Contours

  • Jha, Kailash
    • International Journal of CAD/CAM
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    • v.8 no.1
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    • pp.21-28
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    • 2009
  • In the present work, an attempt has been made to construct branching surface from 2-D contours, which are given at different layers and may have branches. If a layer having more than one contour and corresponds to contour at adjacent layers, then it is termed as branching problem and approximated by adding additional points in between the layers. Firstly, the branching problem is converted to single contour case in which there is no branching at any layer and the final branching surface is obtained by skinning. Contours are constructed from the given input points at different layers by energy-based B-Spline approximation. 3-D curves are constructed after adding additional points into the contour points for all the layers having branching problem by using energy-based B-Spline formulation. Final 3-D surface is obtained by skinning 3-D curves and 2-D contours. There are three types of branching problems: (a) One-to-one, (b) One-to-many and (c) Many-to-many. Oneto-one problem has been done by plethora of researchers based on minimizations of twist and curvature and different tiling techniques. One-to-many problem is the one in which at least one plane must have more than one contour and have correspondence with the contour at adjacent layers. Many-to-many problem is stated as m contours at i-th layer and n contours at (i+1)th layer. This problem can be solved by combining one-to-many branching methodology. Branching problem is very important in CAD, medical imaging and geographical information system(GIS).