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有限对称群中素数平方阶元素的比例
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作者 陈守双 钟丽萍 张师贤 《理论数学》 2024年第6期373-386,共14页
为了构造G的生成集,需要寻找特殊类型的元素,这些元素通常是随机寻找。此外,为了了解寻找的复杂性,需要估计各种元素的比例。令n是正整数,设有限集合Ω={1,2,⋯,n},记Sym(Ω)是Ω上全体置换所组成的群,称作Ω上的对称群。令p是素数,设Ρn... 为了构造G的生成集,需要寻找特殊类型的元素,这些元素通常是随机寻找。此外,为了了解寻找的复杂性,需要估计各种元素的比例。令n是正整数,设有限集合Ω={1,2,⋯,n},记Sym(Ω)是Ω上全体置换所组成的群,称作Ω上的对称群。令p是素数,设Ρn(p2)是对称群Sym(Ω)中所有p2阶元素所组成的集合,ρn(p2)是对称群Sym(Ω)中p2阶元素所占比例,本文首先对p2阶元素在对称群Sym(Ω)中所能表现的形式进行分析,找到其所有的表现形式,接着找出相应形式下p2元素比例的递归公式;在此基础上,通过合理构造对称群Sym(Ω)中元素数,并结合归纳法,最终得出ρn(p2)的上界表达式。 展开更多
关键词 对称群 元素比例 数学归纳法 素数平方元素 上界表达式
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CONSTRUCTIONOFACLASSOFPNSEQUENCESWITHPRIMENUMBERPERIODSOF4t+1FORM
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作者 Yang Fengfan Bi Guangguo Department of Radio Engineering,Southeast UniversityNanjing 210096,P.R.China 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1996年第1期118-120,共3页
A class of new PN sequence with prime number periods of 4t +1 form (t is an integer)is constructed.The advantage of these PN sequencs over the m(M) sequence is their large number of alternative periods.They hav... A class of new PN sequence with prime number periods of 4t +1 form (t is an integer)is constructed.The advantage of these PN sequencs over the m(M) sequence is their large number of alternative periods.They have good pseudo random characteristics demonstrated by the expression of periodic autocorrelation function found out in this paper. 展开更多
关键词 CODING autocorrelation function MATRIX PN sequences quadratic element finite field
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Thermal Relativity
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作者 赵柳 《Communications in Theoretical Physics》 SCIE CAS CSCD 2011年第12期1052-1056,共5页
The group G of general coordinate transformations on the thermodynamic configuration space ε spanned by all the extensive variables keeps the first law of thermodynamics invariant. One can introduce a metric with Lor... The group G of general coordinate transformations on the thermodynamic configuration space ε spanned by all the extensive variables keeps the first law of thermodynamics invariant. One can introduce a metric with Lorentzian signature on the space ε, with the corresponding line element also being invariant under the action of G. This line element is identi6ed as the square of the proper entropy. Thus the second law of thermodynamics is also formulated invariantly and this lays down the foundation for the principle of thermal relativity. 展开更多
关键词 THERMODYNAMICS GEOMETRY RELATIVITY
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Numerical simulation of bistatic scattering from fractal rough surface in the finite element method 被引量:2
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作者 李中新 金亚秋 《Science China(Technological Sciences)》 SCIE EI CAS 2001年第1期12-18,共7页
By using the Monte Carlo method and numerical finite elementapproach, bistatic scattering from the fractal and Gaussian rough surfaces is studied. The difference between these two surfaces and their functional depende... By using the Monte Carlo method and numerical finite elementapproach, bistatic scattering from the fractal and Gaussian rough surfaces is studied. The difference between these two surfaces and their functional dependence on the surface parameters are discussed. Angular variation of bistatic scattering from the fractal surface is very significant, even for fairly smooth surface, whilst scattering from the Gaussian rough surface tends to the specular reflection. The slope of angular variation is linearly related with the fractal dimension. If an electrically_large target is placed over the rough surface, the fractal dimension inverted from bistatic scattering would be reduced. As the surfaces become very rough, scattering from different fractal and Gaussian surfaces would be not identified. 展开更多
关键词 fractal rough surface Monte Carlo method finite element method
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