• Title/Summary/Keyword: N-continuous

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THE CONTINUOUS DENSITY FUNCTION OF THE LIMITING SPECTRAL DISTRIBUTION

  • Choi, Sang-Il
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.515-521
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    • 2010
  • In multivariate analysis, the inversion formula of the Stieltjes transform is used to find the density of a spectral distribution of random matrices of sample covariance type. Let $B_n\;=\;\frac{1}{N}Y_nY_n^TT_n$ where $Y_n\;=\;[Y_{ij}]_{n\;{\times}\;N}$ is with independent, identically distributed entries and $T_n$ is an $n\;{\times}\;n$ symmetric non-negative definite random matrix independent of the $Y_{ij}$'s. In the present paper, using the inversion formula of the Stieltjes transform, we will find that the limiting distribution of $B_n$ has a continuous density function away from zero.

Nitrate reduction by iron supported bimetallic catalyst in low and high nitrogen regimes

  • Hamid, Shanawar;Lee, Woojin
    • Advances in environmental research
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    • v.4 no.4
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    • pp.263-271
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    • 2015
  • In this study, the effect of initial nitrate loading on nitrate removal and byproduct selectivity was evaluated in a continuous system. Nitrate removal decreased from 100% to 25% with the increase in nitrate loading from 10 to $300mg/L\;NO_3-N$. Ammonium selectivity decreased and nitrite selectivity increased, while nitrogen selectivity showed a peak shape in the same range of nitrate loading. The nitrate removal was enhanced at low catalyst to nitrate ratios and 100% nitrate removal was achieved at catalyst to nitrate ratio of ${\geq}33mg\;catalyst/mg\;NO_3-N$. Maximum nitrogen selectivity (47%) was observed at $66mg\;catalyst/mg\;NO_3-N$, showing that continuous Cu-Pd-NZVI system has a maximum removal capacity of 37 mg $NO_3{^-}-N/g_{catalyst}/h$. The results from this study emphasize that nitrate reduction in a bimetallic catalytic system could be sensitive to changes in optimized regimes.

A Case Study on Students' Concept Images of the Uniform Convergence of Sequences of Continuous Functions

  • Jeong, Moonja;Kim, Seong-A
    • Research in Mathematical Education
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    • v.17 no.2
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    • pp.133-152
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    • 2013
  • In this research, we investigated students' understanding of the definitions of sequence of continuous functions and its uniform convergence. We selected three female and three male students out of the senior class of a university and conducted questionnaire surveys 4 times. We examined students' concept images of sequence of continuous functions and its uniform convergence and also how they approach to the right concept definitions for those through several progressive questions. Furthermore, we presented some suggestions for effective teaching-learning for the sequences of continuous functions.

An Efficient Algorithm for the Generalized Continuous Multiple Choice linear Knapsack Problem (일반연속 다중선택 선형배낭문제의 효율적인 해법연구)

  • Won, Joong-Yeon
    • Journal of Korean Institute of Industrial Engineers
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    • v.23 no.4
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    • pp.661-667
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    • 1997
  • We consider a generalized problem of the continuous multiple choice knapsack problem and study on the LP relaxation of the candidate problems which are generated in the branch and bound algorithm for solving the generalized problem. The LP relaxed candidate problem is called the generalized continuous multiple choice linear knapsack problem and characterized by some variables which are partitioned into continuous multiple choice constraints and the others which only belong to simple upper bound constraints. An efficient algorithm of order O($n^2logn$) is developed by exploiting some structural properties and applying binary search to ordered solution sets, where n is the total number of variables. A numerical example is presented.

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Comparison of N2O Emissions by Greenhouse Gas Emission Estimation Method (온실가스 배출량 산정 방법에 따른 N2O 배출량 비교)

  • Kang, Soyoung;Cho, Chang-Sang;Kim, Seungjin;Kang, Seongmin;Yoon, Hyeongi;Jeon, Eui-Chan
    • Journal of Climate Change Research
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    • v.6 no.3
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    • pp.175-184
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    • 2015
  • In this study GC and PAS were used to calculate $N_2O$ concentration of exhaust gas from Wood Chip combustion system. Fuel supplied to the incinerator was collected and analyzed and then the analysis result was used to calculate $N_2O$ emissions. Tier 3 and Tier 4 Method were used to calculate the $N_2O$ emissions. Plant's Specific emission factor of $N_2O$ by Tier 3 Method was 0.35 kg/TJ, while default emission factor of Wood?Wood Waste proposed by 2006 IPCC G/L was 4 kg/TJ. So the $N_2O$ emission factor of this study was 3.65 kg/TJ lower compared to the IPCC G/L. The total emissions calculated by Plant's specific emission factor was 4.22 kg during the measuring period, but by Tier 4 Method it was 7.88 kg. This difference in emissions was caused by the difference of continuous measuring and intermittent sampling. It would be necessary to apply continuous measuring to calculate emissions of $Non-CO_2$ gas whose the density distribution is relatively high. However currently, according to the target management guideline of greenhouse gas and energy, the continuous measuring method to calculate greenhouse gas emission is applied only to $CO_2$. Therefore for reliable greenhouse gas emission calculation it would be necessary to apply continuous measuring to calculate $Non-CO_2$ gas emission.

ON A CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION BY CONDITIONAL EXPECTATIONS OF RECORD VALUES

  • Lee, Min-Young
    • Communications of the Korean Mathematical Society
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    • v.16 no.2
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    • pp.287-290
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    • 2001
  • Let X$_1$, X$_2$, … be a sequence of independent and identically distributed random variables with continuous cumulative distribution function F(x). X(sub)j is an upper record value of this sequence if X(sub)j > max {X$_1$, X$_2$, …, X(sub)j-1}. We define u(n) = min {j│j > u(n-1), X(sub)j > X(sub)u(n-1), n $\geq$ 2} with u(1) = 1. Then F(x) = 1 - e(sup)-x/c, x > 0 if and only if E[X(sub)n(n+1) - X(sub)u(n)│X(sub)u(m) = y] = c or E[X(sub)u(n+2) - X(sub)u(n)│X(sub)u(m) = y] = 2c, n $\geq$ m+1.

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Systematic Review of Effects of Nasal Continuous Positive Airway Pressure on Apnea of Preterm Infants (미숙아 무호흡을 위한 비강 지속적 양압환기법 효과에 대한 체계적 고찰)

  • Kim, Eun-Joo
    • Child Health Nursing Research
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    • v.20 no.3
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    • pp.225-235
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    • 2014
  • Purpose: The purpose of this study was to analysis the effects of nasal Continuous Postive Airway Pressure (nCPAP) for preterm infants using systematic review and meta-analysis. Methods: Thirteen peer-reviewed journals including preterm infants and apnea and nCPAP published between 1973 and 2013 were included. Effect size and statistics of homogeneity were done using STATA 10.0. Results: The design for 9 studies was Randomized Control Trial. In most of studies the pressure of nCPAP was set to 4-6 cm$H_2O$. The effect size of 5 studies for the effect on apnea rate using nCPAP compared to nasal Intermittent Positive Pressure Ventilator (nIPPV) showed that the Standardized Mean Difference (SMD) was -0.11 and was not significantly different (Z=0.41, p=.680). But the difference in nCPAP for nasal Synchronizes Intermittent Positive Pressure Ventilator (nSIPPV) (subgroup) was significant (SMD=-.44). The effect size of 7 studies on effect for ventilator weaning of using nCPAP compared to nIPPV showed the Risk Ratio (RR) as 1.60 and was not significantly different (Z=1.12, p=.268). But the difference between nCPAP and nSIPPV (subgroup) was significant (RR=3.94). Conclusion: The results indicate a need for an advanced care system and suggest continuous studies of apnea in preterm infants.

ON THE DYNAMICAL PROPERTIES OF SOME FUNCTIONS

  • Yoo, Seung-Jae
    • Journal of the Chungcheong Mathematical Society
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    • v.15 no.2
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    • pp.47-56
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    • 2003
  • This note is concerned with some properties of fixed points and periodic points. First, we have constructed a generalized continuous function to give a proof for the fact that, as the reverse of the Sharkovsky theorem[16], for a given positive integer n, there exists a continuous function with a period-n point but no period-m points wherem is a predecessor of n in the Sharkovsky ordering. Also we show that the composition of two transcendental meromorphic functions, one of which has at least three poles, has infinitely many fixed points.

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The Consequence Analysis for Unconfined Vapor Cloud Explosion Accident by the Continuous Release of Gas-Liquid Flow (기-액흐름 연속누출에 의한 개방공간 증기운 폭발사고의 영향평가)

  • 장서일;이헌창;김태옥
    • Journal of the Korea Safety Management & Science
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    • v.4 no.3
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    • pp.35-43
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    • 2002
  • For the unconfined vapor cloud explosion accident by the continuous release of gas-liquid flow of various saturated liquids in a vessel at ground level, overpressures were estimated and analyzed with various release conditions and materials by TNT equivalency model with vapor dispersion. We found that at same release conditions, overpressure showed n-heptane > xylene > n-hexane > toluene > n-heptane > benzene, respectively and that overpressure was increased with increasing the hole diameter and the storage pressure, but it was increased with decreasing the wind speed, the interested distance, and the vessel thickness.

Bit Interleaved Coded Modulation for Noncoherent N-symbol Continuous Phase Frequency Shift Keying (비동기식 N-심볼 연속 위상 주파수 변조 방식을 위한 비트 인터리브 된 부호화 변조)

  • Kim Chang-Joong;Lee Ho-Kyoung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.3 s.94
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    • pp.286-292
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    • 2005
  • We design and analyze the bit interleaved coded modulation(BICM) for noncoherent N-symbol continuous phase frequency shift keying(CPFSK) on the interleaved Rayleigh fading channel. In this paper, we use the equivalent normalized squared distance(ENSD) of noncoherent N-symbol CPFSK to design and analyze the BICM system. Specially, we design the BICM system for noncoherent 2-symbol 4-ary CPFSK, and analyze the performance of the system by using the ENSD. Simulation results are also provided to verify the theoretical performance analysis.