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A Hybrid of Theorems of Goldbach and Piatetski-Shapiro

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Chinese Annals of mathematics,Series B 2006年第3期27卷 341-352页

作者： Xianmeng MENG Mingqiang WANG school of Computer Science and Technology, Shandong university, Jinan 250100, china.Department of statistics and mathematics, Shandong Finance Institute, Jinan 250014, china. school of Computer Science and Technology, Shandong university, Jinan 250100, china.Department of mathematics, Qufu normal university, Qufu 273165, Shandong, china. school of Computer Science and Technology Shandong University Jinan 250100 China Department of statistics and mathematics Shandong Finance Institute Jinan 250014 China Department of mathematics Qufu Normal University Qufu 273165 Shandong China

It is proved that for almost all sufficiently large even integers n, the prime variable equation n = p1 ＋ p2, p1 ∈ Pγ is solvable, with 13/15 〈γ≤ 1, where Pγ = {p ｜p = [m^1/γ], for integer m and prime p} is t... 详细信息

关键词： Circle method Sieve method Goldbach problem

CONSTRUCTION AND COMPARISONS OF SIMULTANEOUS CONFIDENCE INTERVALS FOR THE MEAN DIFFERENCE OF MULTIVARIATE normal DISTRIBUTIONS

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Journal of Systems Science & Complexity 2010年第2期23卷 303-314页

作者： Xianhua MENG·Jinglong WANG·Xianyi WU school of Finance and statistics,East china.normal university,Shanghai 200241,china. school of Finance and statistics East China Normal University Shanghai China

In this paper,Scheffé and Simplified Scheffé simultaneous confidence intervals are firstconstructed for mean difference of several multivariate normal *** the authors theoreticallyprove that when there are only two populations,Bonferroni bounds and Simplified Scheffébounds are the same and they are shorter than Scheffé bounds for p*** the case for 3k10and 2p10,there exists n(p,k)such that Bonferroni method is better than Simplified Schefféprocedure for nn(p,k),otherwise Simplified Scheffé procedure is ***,the authors findout that neither of Scheffé critical values nor Simplified Scheffé critical values are always larger thananother through numerical calculation.

关键词： Bonferroni simultaneous confidence interval multiple comparison Scheff@ simultaneousconfidence interval simplified Scheffé simultaneous confidence interval.

Revisit of Sheppard corrections in linear regression

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Science china.mathematics 2010年第6期53卷 1435-1451页

作者： LIU TianQing1,ZHANG BaoXue1,HU GuoRong1 & BAI ZhiDong1,2,1Key Laboratory for Applied statistics of MOE and school of mathematics and statistics,northeast normal university,changchun 130024,china.2Department of statistics and Applied Probability,National university of Singapore,Singapore 117543,Singapore Key Laboratory for Applied statistics of MOE and school of mathematics and statistics Northeast Normal University Changchun China Department of statistics and Applied Probability National University of Singapore Singapore Singapore

Dempster and Rubin(D&R) in their JRSSB paper considered the statistical error caused by data rounding in a linear regression model and compared the Sheppard correction,BRB correction and the ordinary LSE by *** asymptotic results when the rounding scale tends to 0 were also *** a previous research,we found that the ordinary sample variance of rounded data from normal populations is always inconsistent while the sample mean of rounded data is consistent if and only if the true mean is a multiple of the half rounding *** the light of these results,in this paper we further investigate the rounding errors in linear *** notice that these results form the basic reasons that the Sheppard corrections perform better than other methods in D&R examples and their conclusion in general cases is *** in which the Sheppard correction works worse than the BRB correction are also ***,we propose a new approach to estimate the parameters,called "two-stage estimator",and establish the consistency and asymptotic normality of the new estimators.

关键词： asymptotic normality consistency linear regression model rounded data two-stage estimates

Dominant bacteria correlated with elimination of sludge in an innovative reactor

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Progress in Natural Science:Materials International 2009年第12期19卷 1765-1771页

作者： Shanshan Lin~a,Ying Wang~a,Jifang Lin~a,Xinrui Wang~b,Huili Gong~(c,*) a school of Urban and Environmental Science,northeast normal university,changchun 130024,china.b College of Medicine,Jilin university,changchun 130064,china.c school of Resource Environment and Tourism,Capital normal university,Beijing 100048,china school of Urban and Environmental Science Northeast Normal University Changchun 130024 China College of Medicine Jilin University Changchun 130064 China school of Resource Environment and Tourism Capital Normal University Beijing 100048 China

This study was conducted to identify bacteria responsible for the elimination of sludge in an innovative gravel contact oxidation reactor (GCOR) and a conventional activated sludge reactor(ASR).Fluorescent in situ hybridization revealed thatα-,β-,γ- andε-Proteobacteria and Bacteroidetes were present in both *** the GCOR,γ-Proteobacteria accounted for 13%of the biofilm biomass on the carrier,whileα-,ε- andβ-Proteobacteria accounted for 12%.However,the predominant bacteria in the pores of the carrier in the GCOR were Bacteroidetes(18%),ε-Proteobacteria(13%),β- andα-Proteobacteria(10%) andγ-Proteobacteria(9%).Conversely,β-Proteobacteria(18%),Bacteroidetes(13%),α- andγ-Proteobacteria(12%) andε-Proteobacteria(5%) dominated the sediment community of the ASR.

关键词： Predominant bacteria Gravel contact oxidation reactor(GCOR) Excess sludge elimination Fluorescent in situ hybridization(FISH)

Updating verbal and visuospatial working memory: Are the processes parallel?

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Chinese Science Bulletin 2008年第14期53卷 2175-2185页

作者： YUE ZhenZhu1,2, ZHANG Ming3,4 & ZHOU XiaoLin1 1 Department of Psychology, Peking university, Beijing 100871, china.2 Biological Psychology and Neuropsychology, university of Hamburg, Von-Melle-Park 11, 20146 Hamburg, Germany 3 Department of Psychology, northeast normal university, changchun 130024, china.4 Key Laboratory for Applied statistics of MOE, northeast normal university, changchun 130024, china Department of Psychology Peking University Beijing China Biological Psychology and Neuropsychology University of Hamburg Hamburg Germany Department of Psychology Northeast Normal University Changchun China Key Laboratory for Applied statistics of MOE Northeast Normal University Changchun China

The current study compared the processes of updating verbal and visuospatial working memory (WM) and examined the roles of central executive and slave systems in working memory updating tasks, by changing the number of items updated simultaneously to manipulate the load on central executive. Ex- periment 1 used the verbal WM updating task, and the results validated the efficiency of the paradigm to manipulate the load on central executive. Experiment 2 employed the verbal WM updating task, with the articulatory suppression task to interfere with the phonological loop. The results supported the study by Morris and Jones, revealing that the central executive system played an important role in the updating component of verbal WM, while the phonological loop was responsible for the serial recall component. Experiment 3 employed the visuospatial WM updating task, with the spatial tapping task to interfere with the visuospatial sketchpad. The results suggested that the visuospatial sketchpad and the central execu- tive together dealt with the updating component, while the visuospatial sketchpad was responsible for the serial recall component by itself. These results are consistent with the findings that visuospatial sketch- pad has close links with central executive, while the phonological loop is separated from the central ex- ecutive. It suggests that updating visuospatial and verbal WM are not two parallel processes.

关键词：记忆储存工作记忆中枢神经视觉性

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中美高师中学数学教学论教材比较及启示

外国教育研究 2006年第2期33卷 61-64页

作者：李清东北师范大学数学与统计学院吉林长春130024

中学数学教学论是我国高师数学教育类课程的一门主要课程,对这门课程的中美教材进行比较分析,对中学数学教师的职前专业发展具有重要意义。文章通过比较分析发现,中美高师中学数学教学论教材在知识内容、体系结构、能力培养、非智力因... 详细信息

中学数学教学论是我国高师数学教育类课程的一门主要课程,对这门课程的中美教材进行比较分析,对中学数学教师的职前专业发展具有重要意义。文章通过比较分析发现,中美高师中学数学教学论教材在知识内容、体系结构、能力培养、非智力因素培养、适应水平等方面都存在着较大的差异,对这些差异的对比研究可以为解决我国当前中学数学教学论课程的教材中存在的问题提供有益的启示。

关键词：中国美国中学数学教学论教材

Patterns of magpie nest utilization by a nesting raptor community in a secondary forest

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Progress in Natural Science:Materials International 2009年第10期19卷 1253-1259页

作者： Tong Zhou a,Haitao Wang a,c,Yu Liu b,Fumin Lei c,Wei Gaoa,a Key Laboratory of Vegetation Ecology,Ministry of Education,school of Life Sciences,northeast normal university,changchun 130024,china.b Natural History Museum,northeast normal university,changchun 130117,china.c Institute of Zoology,Chinese Academy of Sciences,Beijing 100101,china Key Laboratory of Vegetation Ecology Ministry of Education School of Life Sciences Northeast Normal University Changchun 130024 China Institute of Zoology Chinese Academy of Sciences Beijing 100101 China Natural History Museum Northeast Normal University Changchun 130117 China

For a total of 9 years,we examined the patterns of a nesting raptor community that utilized European Magpie(Pica pica) nests in the Zuojia Natural Reserve,northeast *** raptor species and two other bird species were recorded nesting in magpie *** reuse rate of abandoned magpie nests was 51.6%,and the number of reused nests was positively correlated with their *** utilized 83.3% of the reused abandoned magpie *** followed for more than 1 year were reused by raptors an average of 1.13 ***-specific nest usurpation was common,with 17.3% of new magpie nests being usurped by raptors,and four cases of usurpation occurred among different raptor *** the community level,8 of 11 raptor species took over magpie nests to breed in the study area,and 91.9% of their nests came from magpie *** Magpies represent the core species in the nest web of the local raptor community that utilizes magpie *** the forest stand level,closer proximity to forest edges and greater distances from occupied raptor nests were the best predictors of nest *** the nest-site level,arbor density and canopy coverage were the best predictors of nest reuse.

关键词： European Magpie Nest reuse Nest usurpation Raptor community

Extension of isometries on the unit sphere of l^p (Γ) space

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Science china.mathematics 2010年第4期53卷 1085-1096页

作者： FANG XiNian 1,& WANG JianHua 2 1 school of mathematics and statistics,Nanjing Audit university,Nanjing 210029,china.2 Department of mathematics,Anhui normal university,Wuhu 241000,china school of mathematics and statistics Nanjing Audit University Nanjing China Department of mathematics Anhui Normal University Wuhu China

In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 < p < ∞,p≠2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) onto ... 详细信息

关键词： isometric extension l p (Γ) space isometry 1-Lipschitz mapping

Checking for normality in linear mixed models

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Science china.mathematics 2012年第4期55卷 787-804页

作者： WU Ping 1,,ZHU LiXing 2,3 & FANG Yun 4 1 school of Finance and statistics,East china.normal university,Shanghai 200241,china.2 school of statistics and mathematics,Yunnan university of Finance and Economics,Yunnan 650221,china.3 The Department of mathematics,Hong Kong Baptist university,Hong Kong 999077,china.4 mathematics and Science College,Shanghai normal university,Shanghai 200234,china school of Finance and statistics East China Normal University Shanghai China school of statistics and mathematics Yunnan University of Finance and Economics Yunnan China The Department of mathematics Hong Kong Baptist University Hong Kong China mathematics and Science College Shanghai Normal University Shanghai China

Linear mixed models are popularly used to fit continuous longitudinal data, and the random effects are commonly assumed to have normal distribution. However, this assumption needs to be tested so that further analysis can be proceeded well. In this paper, we consider the Baringhaus-Henze-Epps-Pulley （BHEP） tests, which are based on an empirical characteristic function. Differing from their case, we consider the normality checking for the random effects which are unobservable and the test should be based on their predictors. The test is consistent against global alternatives, and is sensitive to the local alternatives converging to the null at a certain rate arbitrarily close to 1/V~ where n is sample size. ^-hlrthermore, to overcome the problem that the limiting null distribution of the test is not tractable, we suggest a new method： use a conditional Monte Carlo test （CMCT） to approximate the null distribution, and then to simulate p-values. The test is compared with existing methods, the power is examined, and several examples are applied to illustrate the usefulness of our test in the analysis of longitudinal data.

关键词： linear mixed models estimated best linear unbiased predictors BHEP tests conditional MonteCarlo test