17 research outputs found

    On the Research of the Relationship between Statistical Convergence and Classical Convergence

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    早在1951年,H.Fast[1]^{[1]}就引入了统计收敛的定义,之后出现了一系列相关文章对统计收敛做了进一步的探讨和研究, 特别地,在2008、2009年,由程立新等[23]^{[2,3]}建立起统计收敛的测度理论,该理论使得各种统计收敛在其定义的统计测度的意义下得到统一. 本文就是在统计收敛的测度理论的基础上,进一步地研究统计收敛与经典收敛之间的关系. 首先证明了具有可数局部基的局部凸空间(特别地,Banach空间)中序列的统计收敛、\delta-\mbox{统计收敛}\delta-\mbox{几乎处处收敛}\mathscr{K}-\mbox{统计收敛(依测度收敛...The notion of statistical convergence was introduced by H. Fast^{[1]}in1951.Fromthenon,statisticalconvergencehadbeeninvestigatedanddevelopedinasequenceofarticals.Especiallyin2008and2009,L.X.Cheng,etal.in 1951. From then on, statistical convergence had been investigated and developed in a sequence of articals.Especially in 2008 and 2009, L.X.Cheng,et al.^{[2,3]}$established measure theory of statistical convergence, such that every kind of statistical convergence had been unified in the sense of statistical measure. This...学位:理学硕士院系专业:数学科学学院数学与应用数学系_基础数学学号:1902007115206

    Measure Theory of Statistical Convergence via Geometric Functional Analysis Methods

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    统计收敛的概念是由H.Fast~\cite{hf}~和H.Steinhaus~\cite{st}~引入的,~它是经典收敛概念的一个推广形式.~毫无疑问, 统计收敛及其各种各样的推广形式已经成为人们研究的热点领域.~2008年, 程立新等~\cite{lxc1,lxc2}~利用Banach空间理论知识建立起统计收敛的测度理论.~该理论不仅使得统计收敛及其一些推广形式在统计测度意义下得到统一, 而且为统计收敛研究领域注入全新的研究方法.~本文作为该理论研究的深化和应用,~证明了一系列结果. 为了统一各种各样的统计收敛,我们(在第二章)证明了对任意一个理想 I\mathcal{I}-...The concept of (classical) statistical convergence was introduced by H.Fast \cite{hf} and H.Steinhaus \cite{st}, which is a generalization of the usual notion of convergence. It is doubtless that the study of statistical convergence and of its various generalizations has become an active research area. In 2008,~Lixin Cheng,~etal.~\cite{lxc1,lxc2} established measure theory of statistical c...学位:理学博士院系专业:数学科学学院_基础数学学号:1902010015394

    Veterinary communication for development

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    研究获得了斑马鱼 nr1d4a 和 nr1d4b 基因的 cDNA,进行了序列比对和系统进化分析,并采用实时定量RT-PCR (qPCR)方法研究了其表达模式及对不同环境刺激的转录反应。研究发现,斑马鱼nr1d4a和nr1d4b是由基因复制产生的旁系同源基因,具有高度保守的DNA结合结构域和配体结合结构域。斑马鱼nr1d4a和nr1d4b的表达模式具有明显的差别。nr1d4a在胚胎发育早期的表达量很低,72 hpf时开始显著升高;而nr1d4b具有较高水平的母源性表达,6 hpf时的表达量明显降低,但也在72 hpf显著回升。nr1d4a在脑和肾脏中表达量最高,其次是鳃、卵巢、精巢和眼,在肝脏中的表达量最低; nr1d4b 在卵巢中表达量最高,其次是精巢和脑,在肠道和心脏中表达量最低。斑马鱼nr1d4a和nr1d4b都能被多种环境刺激瞬时诱导表达。16℃低温处理0.5h就能显著诱导斑马鱼nr1d4a和nr1d4b基因的表达,但处理6h后其诱导效应开始下降并逐渐消失。除低温外,重金属(2μmol/L镉)、缺氧(5%氧气)和盐度(5‰)处理均能瞬时诱导nr1d4a和nr1d4b的表达,说明 nr1d4a和nr1d4b基因可能参与斑马鱼对多种环境刺激的适应性反应。研究为深入揭示鱼类 nr1d4a和nr1d4b基因的生物学功能及其表达调控机制奠定了基础

    Topography characteristics and profile type of China offshore submarine

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    基于国家海洋局“908“专项的最新海底地形资料,分析中国近海海底地形特征及其影响因素。中国近岸海底地形继承了陆地地形西北向东南倾斜的趋势,海底地形坡降为0.2‰~1.6‰,平均坡降约0.8‰,等深线基本平行于海岸展布,河口区呈舌状向海展布。海底地形受构造控制作用明显,呈两窿两坳的南、北分带特征,并在不同沉积环境和复杂水动力条件下塑造出沉降盆地型、挤压隆起型、沉积改造型和过渡型等4种类型。沉降盆地型和挤压隆起型地形起伏小,沉积物以细粒为主,水流方向单一,易发育海湾堆积平原和水下堆积岸坡等堆积型地貌,同属构造成因的地形;沉积改造型地形起伏较大,沉积物以粗粒为主,多在陆源补给丰富的河口和潮流辐聚区发育大型潮流沙脊,全新统沉积层巨厚,受潮流、径流、海流的后期改造作用明显;过渡型地形陡缓不均,沉积物颗粒不均匀混合,近岸发育阶地状陡坎,远岸发育陆架平原等侵蚀—堆积型地貌,为断陷地块不完全发育和多期次海侵共同作用的结果。Based on the latest submarine topography data of "908" special project of the State Oceanic Administration, topographical characteristics and its influencing factors of China offshore submarine were analyzed.China offshore submarine topography inherits land topographical trend from northwest to southeast.The submarine topographical gradient is from 0.2‰ to 1.6‰ and the average gradient was about 0.8‰.The depth contour is substantially parallel to the coast spreading and is tongue to sea spreading at estuary area.The submarine topography is dominated by the geological structure, which shows the typical characteristics about two uplifts and two subsides form north to south.Four types have been with the influence of different sedimentary environments and complex hydrodynamic shape: sedimentary basin, squeeze uplift, deposit reformation and transition types.On the sedimentary basin and squeeze uplift area, topographical undulate is small, sediments is fine, flowing current is single direction and easily develops the gulf accumulation plains and underwater accumulation slope.They belong to the same tectonic origin topography.On the deposit reformation area, topographical undulate is large, sediments are coarse, develop tidal sand ridges at terrigenous supply estuary and convergence trend zone, Holocene sediments are thick, and obviously transformed by tidal, runoff and currents.On the transition area, change of topographical undulate and sediment particles mixed are uneven and develop terraces like scarp inshore and shelf plains erosion-accumulation landforms offshore.That is the common result of incompletely developed plots rift and transgression of many times.国家自然科学基金资助项目(41276058); 国家海洋局“908”专项(908-ZC-I-07); 国家海洋局公益性科研项目(201105001;2012418004

    内镜下萨氏扩张器扩张联合局部注射曲安奈德治疗食管良性吻合口狭窄的疗效及安全性研究

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    目的:探讨食管良性吻合口狭窄经内镜下萨氏扩张器扩张联合局部注射曲安奈德治疗的临床疗效及安全性。方法:选取79例食管良性吻合口狭窄患者作为研究对象,根据数字表法将其随机分为对照组(n=38)和研究组(n=41),对照组给予内镜下萨氏扩张器扩张治疗,研究组在对照组基础上联合局部注射曲安奈德治疗,比较两组患者临床疗效、术后恢复情况以及安全性。结果:研究组治疗后总有效率为85.37%(35/41),高于对照组患者的65.79%(25/38)(x~2=4.138,P=0.002)。研究组持续症状缓解时间、再次进行内镜下扩张治疗的间隔时间均长于对照组(t=21.573、27.209,P=0.000、0.000),两组患者治疗前Stooler评分比较差异无统计学意义(t=0.266,P=0.791),两组患者治疗后Stooler评分均降低(t=16.606、25.962,P=0.000、0.000),且研究组低于对照组(t=7.407,P=0.000)。研究组术后并发症总发生率为19.51%(8/41),低于对照组患者的42.11%(16/38)(x~2=4.760,P=0.009)。结论:食管良性吻合口狭窄经内镜下萨氏扩张器扩张联合局部注射曲安奈德治疗后,可获得较好的疗效,患者临床症状得到改善,同时还可减少并发症发生率,临床应用价值较高。福建省科技计划引导性项目(2016D00210

    制约我国普及性体育期刊发展的主要因素与对策

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    运用文献资料法和专家访谈法,结合传播学、历史学、社会学、公共关系学等相关理论,对"普及性体育期刊"进行定义,梳理我国普及性体育期刊的百年发展沿革。制约我国普及性体育期刊发展的主客观因素包括:期刊产业实力单薄、其他体育媒介的冲击、体育大环境的制约、发行渠道不畅通,同质化恶性竞争、因循守旧改版失败、盲目寻求合作办刊、编辑人员综合素质不高、期刊内容"变质"。建议:提高核心竞争力、找准期刊定位、完善三次销售网络、提高编辑人员的经营意识、尝试创新性营销、打造电子体育期刊

    On A-convergence

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    设A={A_I}_(I=1)~∞S_(E_1)~+,其中S_(E_1)~+={X=(X(n))∈E_1:‖X‖=1且X(n)≥0对任意的n∈n}.bAnACH空间X中的序列{X_n}称为A-收敛于X∈X是指对任意的ε>0,→0当I→∞,其中A(ε)={n∈n:‖X_n-X‖≥ε}.这篇文章中,我们证明了该收敛可以用一个有限可加的概率测度加以刻画.我们对A-收敛与统计收敛的关系进行了讨论,证明了A-收敛为统计收敛完全取决于A的W~*-拓扑性质.Let A = {a_i}_(i=1)~∞be a sequence in S_(l_1)~+,where S_(l_1)~+ = {x =(x(n))∈l_1:||x|| = 1 and x(n)≥0 for each n∈N}.A sequence {x_n} of points in a Banach space X is said to be A-convergent to x∈X provided that for everyε>0,we have〈a_i,χ_(A(ε))〉→0 as i→∞,where A(ε) = {n∈N:||x_n-x||≥ε}.In this paper,we show that this convergence can be characterized by a single finitely additive probability measure.We discuss the relationship between A-convergence and statistical convergence,and prove that A-convergence can be statistical convergence depends entirely on the w~*-topology properties of A

    Inflfl uence of ammonium and phosphate concentration of sewage on the growth,nitrogen and phosphorus removal of duckweed in Yunan

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    为揭示污水氮磷浓度对不同浮萍生长及水处理的影响规律,研究了户外条件下云南本地的4个浮萍品种,本地绿萍(Lemna japonica)、本地少根(Landoltia punctata)、本地多根(Spir odela polyrhiza)和本地芜萍(Woffi a globosa)在不同氮磷浓度污水中的生长情况.结果表明:随着污水氮磷浓度升高,浮萍处理系统对氮磷的去除总量升高,利用率降低;不同浮萍品种在不同氮磷浓度污水中的最大生长速率、氮磷含量和氮磷固定能力存在明显的种属差异.其中本地多根有最高的生长速率(7.38 g m-2 d-1)和氮固定能力(336.47 mg m-2 d-1),本地绿萍..
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