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Weighted weak type estimates for commutators of the Marcinkiewicz integrals

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Science china mathematics 2004年第1期47卷 83-95页

作者： DING Yong, LU Shanzhen & ZHANG Pudepartment of mathematics, beijing Normal University, beijing 100875, china department of Information and Computing Science, Zhejiang institute of Science and technology, Hangzhou 310033, china department of mathematics Beijing Normal University Beijing China department of Information and Computing Science Zhejiang Institute of Science and Technology Hangzhou China

In this paper the authors give the weighted weak LlogL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities... 详细信息

关键词： Marcinkiewicz integral, commutator, Ap weight, weak type estimate.

Boundedness of solutions and existence of invariant tori for generalized pendulum type equation

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Chinese Science Bulletin 1997年第20期42卷 1673-1675页

作者： HUANG Hai and YUAN Rong1. institute of mathematics, Chinese Academy of Sciences, beijing 100080, china 2. department of mathematics, beijing Normal University, beijing 100875, china institute of mathematics Chinese Academy of Sciences Beijing China department of mathematics Beijing Normal University Beijing China

MOTIVATED by various significant applications to non-Newtonian fluid theory, diffusion offlows in porous media, nonlinear elasticity, and theory of capillary surfaces, several authors(see refs.[1,2] and references cited therein ) have recently studied the existence of periodicsolutions and other properties for the following differential equation:

关键词： boundeduess of solutions invariant tori quasiperlodic solutions Moser’s small twist theorem.

Monomial Hopf algebras over fields of positive characteristic

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Science china mathematics 2006年第3期49卷 320-329页

作者： LIU Gongxiang & YE Yu institute of mathematics, Academy of mathematics and Systems Science, Chinese Academy of Sciences, beijing 100080, china department of mathematics, University of Science and technology of china, Hefei 230026, china institute of mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China department of mathematics University of Science and Technology of China Hefei China

In this paper, we study the structures of monomial Hopf algebras over a field of positive characteristic. A necessary and sufficient condition for the monomial coalgebra Cd(n) to admit Hopf structures is given here, and if it is the case, all graded Hopf structures on Cd(n)are completely classified. Moreover, we construct a Hopf algebras filtration on Cd(n) which will help us to discuss a conjecture posed by Andruskiewitsch and Schneider. Finally combined with a theorem by Montgomery, we give the structure theorem for all monomial Hopf algebras.

关键词： monomial coalgebra, Gaussian binomial coefficient, monomial Hopf algebra.

Reconfigurable design and implementation of the MD6 Hash function

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The Journal of china Universities of Posts and Telecommunications 2010年第2期17卷 109-115页

作者： GAO Xian-wei department of Electronic and Information Engineering,beijing Electronic Science and technology institute,beijing 100070,china department of Electronic and Information Engineering Beijing Electronic Science and Technology Institute Beijing 100070 China

Efficient reconfigurable field programmable gate array （FPGA） architectures for the MD6-224/256/384/512 Hash algorithm are proposed in this article. The basic iterative compact design requires 923 ALMs and achieves a throughput ranging from 225 Mbit/s to 394 Mbit/s at a maximum frequency of 198 MHz. The 32-step-urtrolled high-throughput design requires 7 090 ALMs and achieves a throughput ranges from 5 776 Mbit/s to 9 490 Mbit/s at a maximum frequency of 173 MHz. The simulation results show that high flexibility and efficient FPGA implementation of the MD6 Hash function is achieved.

关键词： SHA-3 MD6 reconfigurable iterative loop-unrolling

THE POPULATION DYNAMICS WITH N-INTERSECTIONS

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Systems Science and Mathematical Sciences 1994年第2期7卷 177-186页

作者： GUO Baozhu(department of Applied mathematics beijing institute of technology,beijing 100081, china)

ＴＨＥＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳＷＩＴＨＮ－ＩＮＴＥＲＳＥＣＴＩＯＮＳ￥ＧＵＯＢａｏｚｈｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＢｅｉｊｉｎｇＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇ... 详细信息

ＴＨＥＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳＷＩＴＨＮ－ＩＮＴＥＲＳＥＣＴＩＯＮＳ￥ＧＵＯＢａｏｚｈｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＢｅｉｊｉｎｇＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ｂｅｉｊｉｎｇ１０００８１，Ｃ...

关键词： Population dynamics stable population logistic model

Central limit theorem for the occupation time of catalyticsuper-Brownian motion

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Chinese Science Bulletin 1998年第24期43卷 2035-2040页

作者： HONG Wenming department of mathematics, beijing Normal University, beijing 100875, china Corresponding address: institute of mathematics, Shantou University, Shantou 515063, china department of mathematics Beijing Normal University Beijing China

The catalytic super_Brownian motion has been considered. If both the catalytic medium process Q and CSBM started with Lebesgue measure λ, the central limit theorem for occupation time of CSBM has been obtained in dim... 详细信息

关键词： branching rate functional Brownian collision local time catalytic super_Brownian motion occupation time central limit theorem.

Fractional Fourier domain equalization for single carrier broadband wireless systems

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Science china(Information Sciences) 2012年第10期55卷 2257-2268页

作者： HUANG KeWu 1,2,TAO Ran 1 & WANG Yue 1 1 department of Electronic Engineering,beijing institute of technology,beijing 100081,china 2 institute of Manned Space System Engineering,china Academy of Space technology,beijing 100094,china department of Electronic Engineering Beijing Institute of Technology Beijing China institute of Manned Space System Engineering China Academy of Space Technology Beijing China

In this paper,a novel single carrier equalization approach in the fractional Fourier domain(FRFD) is *** can remove all the inter-symbol interference(ISI) and avoid the considerable noise enhancement of the frequency domain-zero forcing(FD-ZF) *** the fractional Fourier transform makes a chirp spread,the impulse response of the deep fading channel may be flattened in some orders of the FRFD while it would be greatly attenuated in the *** searching for an optimal order under certain criterion,we take advantages of the ZF algorithm to mitigate the effects of the ISI *** approach can overcome the contradiction between the ISI mitigation and the noise enhancement of the FD-ZF *** analysis and simulation results show that the proposed FRFD-ZF equalizer can achieve a significant performance and have the same computation cost O(N log N) as the conventional FD linear equalizer,especially in the frequencyselective deep-fading channels.

关键词： fractional Fourier transform single carrier systems zero-forcing equalizer frequency domain linear equalizer

On exactness and unbiasedness of confidence bands for a continuous distribution function

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Science china mathematics 2010年第10期53卷 2665-2678页

作者： DING XiaoBo1,2,XU XingZhong2 & ZHAO ShuRan3 1institute of Applied mathematics,Academy of mathematics and Systems Science,Chinese Academy of Sciences,beijing 100190,china 2department of mathematics,beijing institute of technology,beijing 100081,china 3School of Economics,Ocean University of china,Qingdao 266071,china institute of Applied mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences department of mathematics Beijing Institute of Technology School of Economics Ocean University of China

We define a class of confidence bands for distribution functions,named simple confidence *** class of bands includes the common step bands and continuous bands,some of which may perform better than the smoothed bands not belonging to the class,e.g.,the kernel smoothed *** is shown that under some mild assumptions,the simple bands with exact coverage for continuous distribution functions are all step *** unbiasedness problem of the step bands is also *** is proved that most of two-sided step bands are biased and one-sided step bands are unbiased.

关键词： exact coverage goodness of fit kernel smoothing simple confidence bands unbiasedness

ASYMPTOTICALLY　EFFICIENT　ESTIMATES　IN　A　SYSTEM　TREE

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Systems Science and Mathematical Sciences 1996年第2期9卷 157-163页

作者： DAI Ming(department of Applied mathematics beijing institute of technology, beijing, 100081, china) department of Applied mathematics beijing institute of technology Beijing 100081 China

ＡＳＹＭＰＴＯＴＩＣＡＬＬＹＥＦＦＩＣＩＥＮＴＥＳＴＩＭＡＴＥＳＩＮＡＳＹＳＴＥＭＴＲＥＥＤＡＩＭｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＢｅｉｊｉｎｇｉｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌ... 详细信息

ＡＳＹＭＰＴＯＴＩＣＡＬＬＹＥＦＦＩＣＩＥＮＴＥＳＴＩＭＡＴＥＳＩＮＡＳＹＳＴＥＭＴＲＥＥＤＡＩＭｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＢｅｉｊｉｎｇｉｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ｂｅｉｊｉｎｇ，１０００８...

关键词： Virtual system method (VS Method) system tree subsystem tree, asymptotically efficient.