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素数模19的同余方程的整数解 被引量:2
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作者 邹兆南 《重庆交通大学学报(自然科学版)》 CAS 2008年第3期491-492,共2页
证明了连续正整数偶次幂之和,关于素数模19同余方程的若干性质,并给出了全部整数解。
关键词 素数模 同余式 最小剩余 FERMAT定理
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利用Petri网方法求解二次同余式:ax2+bx+c≡0(modp, p≥3,素数)
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作者 许安国 赵义军 《系统仿真学报》 CAS CSCD 北大核心 2005年第z1期216-218,228,共4页
首先给出判定a是奇素数模p的平方剩余的增广Petri网模型,然后给出求解二次同余式x2≡a(modp,p≥3,素数,(a,p)=1)的增广Petri网模型.同时给出这种类型增广Petri网的矩阵分析和状态方程,从而导出由EXN网的输入求其输出的算法.
关键词 二次同余式 素数模 抑止弧 增广PETRI网
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连续正整数偶次幂之和同余方程的整数解 被引量:1
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作者 邹兆南 谭远顺 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第6期28-30,共3页
利用连续正整数偶次幂之和关于素数模同余式的降幂性、对称性、归零性和缩减性,分别就与两种情形的若干特殊同余方程,给出了方程的全部整数解.
关键词 连续正整数 素数模 同余方程 最小非负剩余 FERMAT定理
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关于连续正整数Diophantine方程的正整数解
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作者 邹兆南 《重庆交通大学学报(自然科学版)》 CAS 2008年第6期1168-1172,共5页
连续正整数Diophantine方程xn+(x+1)n+…+(x+h)n=(x+h+1)n的正整数解问题,是一个迄今为止尚未彻底解决的数论难题。目前已知的结果是:①当6≤n≤33时;②当n>3且为奇数时;③当34≤n≤200且为偶数时,该方程均无正整数解。采用多种素数... 连续正整数Diophantine方程xn+(x+1)n+…+(x+h)n=(x+h+1)n的正整数解问题,是一个迄今为止尚未彻底解决的数论难题。目前已知的结果是:①当6≤n≤33时;②当n>3且为奇数时;③当34≤n≤200且为偶数时,该方程均无正整数解。采用多种素数模筛法证明了:当200<n≤250且为偶数时,该方程均无正整数解。这一结果推广和改进了已有的结论。 展开更多
关键词 连续整数 DIOPHANTINE方程 素数模 筛法 整数解
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不定方程(x十i)~n=(x+h+1)~n的解的最新结果
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作者 王斌 邹兆南 《重庆交通学院学报》 1996年第2期118-122,共5页
本文证明了不定方程;xn+(x+1)n+…+(x+h)n=(x+h+1)n,当100<n≤200时无正整数解.
关键词 筛法 同余方程 素数模 不定方程
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一类高维随机矩阵置乱变换的周期
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作者 王泽辉 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期38-42,共5页
为了适合多媒体信息量庞大、存在数据冗余的特点,实施可证明安全、高效率的加密解密,使用了数论、近世代数、矩阵变换、算法分析等工具,对高维随机矩阵置乱变换的精确周期进行了研究。将实数域上线性代数的若干结果,推广到模素数有限域... 为了适合多媒体信息量庞大、存在数据冗余的特点,实施可证明安全、高效率的加密解密,使用了数论、近世代数、矩阵变换、算法分析等工具,对高维随机矩阵置乱变换的精确周期进行了研究。将实数域上线性代数的若干结果,推广到模素数有限域上,得到一类整数矩阵及其相关同余方程组之解的若干新性质;在此基础上将用于置乱的矩阵由2维扩展到任意高维,给出广泛一类高维随机整数矩阵A决定的置乱变换,在任意素数幂N=pr模数下,其周期T(A,N)的精确表达式,给出求精确周期算法的时间复杂度。结论可用于建立新型数字多媒体密码体制和信息隐藏体制,扩大其密钥空间,增加其安全性。 展开更多
关键词 随机矩阵置乱变换 周期性 素数有限域 数字多媒体加密 快速算法
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A novel method for predicting breakthrough time of horizontal wells in bottom water reservoirs 被引量:2
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作者 李立峰 岳湘安 +2 位作者 赵海龙 杨志国 张立娟 《Journal of Central South University》 SCIE EI CAS 2013年第12期3612-3619,共8页
Dimensional analysis and numerical simulations were carried out to research prediction method of breakthrough time of horizontal wells in bottom water reservoir. Four dimensionless independent variables and dimensionl... Dimensional analysis and numerical simulations were carried out to research prediction method of breakthrough time of horizontal wells in bottom water reservoir. Four dimensionless independent variables and dimensionless time were derived from 10 influencing factors of the problem by using dimensional analysis. Simulations of horizontal well in reservoir with bottom water were run to find the prediction correlation. A general and concise functional relationship for predicting breakthrough time was established based on simulation results and theoretical analysis. The breakthrough time of one conceptual model predicted by the correlation is very close to the result by Eclipse with less than 2% error. The practical breakthrough time of one well in Helder oilfield is 10 d, and the predicted results by the method is 11.2 d, which is more accurate than the analytical result. Case study indicates that the method could predict breakthrough time of horizontal well under different reservoir conditions accurately. For its university and ease of use, the method is suitable for quick prediction of breakthrough time. 展开更多
关键词 reservoirs with bottom water breakthrough time of horizontal well prediction method dimensional analysis numericalsimulation
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含连续整数的3维本原勾股数问题
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作者 袁淑丽 《黑龙江生态工程职业学院学报》 2011年第4期117-119,共3页
探讨了3维本原勾股数中具有连续正整数解的规律性,证明了有三个连续正整数、两对连续正整数的3维本原勾股数解的条件和求解的方法。并讨论了由一个奇数构成具有两个连续正整数的3维本原三维勾股数的充要条件及其解的个数。并以行列式的... 探讨了3维本原勾股数中具有连续正整数解的规律性,证明了有三个连续正整数、两对连续正整数的3维本原勾股数解的条件和求解的方法。并讨论了由一个奇数构成具有两个连续正整数的3维本原三维勾股数的充要条件及其解的个数。并以行列式的计算形式给出了构造有两个连续正整数的3维本原三维勾股数的计算范例。 展开更多
关键词 不定方程 本原勾股数 连续正整数 4余1素数
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Pressure fluctuation and its influencing factors in circulating water pump 被引量:13
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作者 代翠 孔繁余 董亮 《Journal of Central South University》 SCIE EI CAS 2013年第1期149-155,共7页
In order to investigate the effect of sampling frequency and time on pressure fluctuations, the three-dimensional unsteady numerical simulations were conducted in a circulating water pump. Through comparison of turbul... In order to investigate the effect of sampling frequency and time on pressure fluctuations, the three-dimensional unsteady numerical simulations were conducted in a circulating water pump. Through comparison of turbulence models with hydraulic performance experiment, SST k-co model was confirmed to study the rational determination of sampling frequency and time better. The Fast Fourier Transform (FFT) technology was then adopted to process those fluctuating pressure signals obtained. On these bases, the characteristics of pressure fluctuations acting on the tongue were discussed. It is found that aliasing errors decrease at higher sampling frequency of 17 640 Hz, but not at a lower sampling frequency of 1 764 Hz. Correspondingly, an output frequency range ten-times wider is obtained at 17 640 Hz. Compared with 8R, when the sampling time is shorter, the amplitudes may be overvalued, and the frequencies and amplitudes of low-frequency fluctuations can not be well predicted. The frequencies at the tongue are in good agreement with the values calculated by formula and the frequency compositions less than the blade passing frequency are accurately predicted. 展开更多
关键词 circulating water pump turbulence model sampling frequency sampling time pressure fluctuation
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Selection model of trip time for rural population 被引量:2
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作者 冯忠祥 袁华智 +2 位作者 刘静 高璇 张卫华 《Journal of Central South University》 SCIE EI CAS 2013年第1期274-278,共5页
Referring to the 1 248 survey data of rural population in 14 provinces of China, the influencing factors of trip time choice were analyzed. Based on the basic theory of disaggregate model and its modelling method, nin... Referring to the 1 248 survey data of rural population in 14 provinces of China, the influencing factors of trip time choice were analyzed. Based on the basic theory of disaggregate model and its modelling method, nine grades were selected as the alternatives of trip time, the variables affecting time choice and the method getting their values were determined, and a multinomial logit (MNL) model was developed. Another 1 200 trip data of rural population were selected to testify the model's validity. The result shows that the maximum absolute error of each period between calculated value and statistic is 3.6%, so MNL model has high calculation accuracy. 展开更多
关键词 traffic planning rural population trip time disaggregate model multinominal logit (MNL) model
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Failure probability analysis of coal crushing induced by uncertainty of influential parameters under condition of in-situ reservoir 被引量:1
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作者 张立松 闫相祯 +2 位作者 杨秀娟 田中兰 杨恒林 《Journal of Central South University》 SCIE EI CAS 2014年第6期2487-2493,共7页
The uncertainties of some key influence factors on coal crushing,such as rock strength,pore pressure and magnitude and orientation of three principal stresses,can lead to the uncertainty of coal crushing and make it v... The uncertainties of some key influence factors on coal crushing,such as rock strength,pore pressure and magnitude and orientation of three principal stresses,can lead to the uncertainty of coal crushing and make it very difficult to predict coal crushing under the condition of in-situ reservoir.To account for the uncertainty involved in coal crushing,a deterministic prediction model of coal crushing under the condition of in-situ reservoir was established based on Hoek-Brown criterion.Through this model,key influence factors on coal crushing were selected as random variables and the corresponding probability density functions were determined by combining experiment data and Latin Hypercube method.Then,to analyze the uncertainty of coal crushing,the firstorder second-moment method and the presented model were combined to address the failure probability involved in coal crushing analysis.Using the presented method,the failure probabilities of coal crushing were analyzed for WS5-5 well in Ningwu basin,China,and the relations between failure probability and the influence factors were furthermore discussed.The results show that the failure probabilities of WS5-5 CBM well vary from 0.6 to 1.0; moreover,for the coal seam section at depth of 784.3-785 m,the failure probabilities are equal to 1,which fit well with experiment results; the failure probability of coal crushing presents nonlinear growth relationships with the increase of principal stress difference and the decrease of uniaxial compressive strength. 展开更多
关键词 coal crushing failure probability Hoek-Brown criterion first-order second-moment method
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