基于Ⅰ-Space模型的高校网络舆情评估体系构建

本文以Ⅰ-space模型为依据对高校校园网络舆情进行逻辑分析,从舆情发布者、舆情参与者、舆情内容、舆情传播媒介四个方面建立了全方位的、多层次高校网络舆情评估指标体系,并提出了科学的具有可操作性的高校网络舆情管理对策,以加强高校网络舆情的监控。

L^1-space中基于强收敛意义下函数最优逼近的VSOW法研究

指出L1-space中任意一个闭区间[a,b]上的连续函数f(x),都可用[a,b]上的线性无关的连续函数族{gi(x)}的线性组合来逼近。并在强收敛意义下证明了这种最优逼近式的存在性、唯一性问题,进一步地,给出了确定这种最优逼近式的VSOW方法,并揭示了运用这种VSOW法在L1-space中所确定的最优逼近式的敛散性问题。

ON THE BOUNDEDNESS OF SPHERES IN F-SPACES

In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.

1.5T磁共振T_2-SPACE序列对血管压迫性面肌痉挛的诊断价值

目的通过对比T_2-SPACE序列及T_2-3D-TSE序列对血管压迫性面肌痉挛(HFS)患者面神经与责任血管的显示效果,评价T_2-SPACE序列在1.5T MR对血管压迫性面肌痉挛的诊断价值。方法 47例HFS患者分别行T_2-SPACE序列及3D-T_2-TSE序列扫描,对比分析面神经及其周围血管的显示效果。结果 45例有效病例中,T_2-SPACE序列显示效果明显优于T_2-3D-TSE序列,两者有统计学差异。结论 T_2-SPACE序列可以作为1.5 T MR面肌痉挛病人的首选检查。

STABILITY OF ε-ISOMETRIES ON L_∞-SPACES

In this article,we discuss the stability ofε-isometries for L∞,λ-spaces.Indeed,we first study the relationship among separably injectivity,injectivity,cardinality injectivity and universally left stability of L∞,λ-spaces as well as we show that the second duals of universally left-stable spaces are injective,which gives a partial answer to a question of Bao-Cheng-Cheng-Dai,and then we prove a sharpen quantitative and generalized Sobczyk theorem which gives examples of nonseparable L∞-spaces X(but not injective)such that the couple(X,Y)is stable for every separable space Y.This gives a new positive answer to Qian's problem.

Some Geometric Invariants of Pseudo-Spherical Evolutes in the Hyperbolic 3-Space

In this paper,we study the pseudo-spherical evolutes of curves in three dimensional hyperbolic space.We use techniques from singularity theory to investigate the singularities of pseudo-spherical evolutes and establish some relationships between singularities of these curves and geometric invariants of curves under the action of the Lorentz group.Besides,we defray with illustration some computational examples in support our main results.

NOTES ON REAL INTERPOLATION OF OPERATOR L_(p)-SPACES

Let M be a semifinite von Neumann algebra.We equip the associated noncommutative Lp-spaces with their natural operator space structure introduced by Pisier via complex interpolation.On the other hand,for L_(p),p(M)=(L_(∞)(M),L_(1)(M)_(1/p,p)be equipped with the operator space structure via real interpolation as defined by the second named author(J.Funct.Anal.139(1996),500–539).We show that Lp,p(M)=Lp(M)completely isomorphically if and only if M is finite dimensional.This solves in the negative the three problems left open in the quoted work of the second author.We also show that for 1<p<∞and 1≤q≤∞with p 6=q,(L_(∞)(M;l_(q)),L_(1)(M;l_(q)_(1/p,p)=L_(p)(M;l_(q)with equivalent norms,i.e.,at the Banach space level if and only if M is isomorphic,as a Banach space,to a commutative von Neumann algebra.Our third result concerns the following inequality:||(∑iixtq)^(1/q)||lp(M)≤||(∑iixit)^(1/q)||lp(M),for any finite sequence(xi)⊂L+p(M),where 0<r<q<∞and 0<p≤∞.If M is not isomorphic,as a Banach space,to a commutative von Meumann algebra,then this inequality holds if and only if p≥r.

On the Geometry of Curves in Minkowski 3-Space and Its Foldings

We will introduce a new connection between some transformations and some aspects of differential geometry of some curves in Minkowski space. The concept of folding, retractions and contraction on some curves in Minkowski space will be characterized by using some aspects of differential geometry. Types of the deformation retracts of some curves in Minkowski 3-space are obtained. The relations between the foldings and the deformation retracts of some curves are deduced. The connections between some transformations and time like, space like, light like of some curves in Minkowski 3-space are also presented.

IMPROVEMENTS OF A RESULT OF D.VOGT ON(LF)-SPACES

An (LF)-space (E, t) = md(En, tn) satisfying Retakh's condition (M0) needn't be regular[7]. D. Vogt[7] proved that if every step (En, tn) is reflealve then it is regular.By using the fort that the biduals of Frechet spaces are weakdy sequentially complete.the authors give some weaker conditions for (LF)-spaces satisfying condition (M0) to be regular, which improve the ah ore Vogt's result.

CONDITIONAL EXPECTATIONS AND MARTINGALES IN NONCOMMUTATIVE Lp-SPACES ASSOCIATED WITH CENTER-VALUED TRACES

In this paper we prove the existence of conditional expectations in the noncom- mutative Lp（M, Ф）-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp（M, Ф）-spaces.

L^2-SPACES AND SUB-LAPLACIANS ON HOMO GENEOUS GROUPS

In this paper,we introduce a special class of nilpotent Lie groups defined by hermitian maps,which includes all the groups of affine holomorphic automorphisims of Siegel domains of type Ⅱ,in particular,the Heisenberg group.And we study harmonic analysis on these groups as spectral theory of the associated Sub-Laplacian instead of the group representation theory in usual way.

COVERING PROPERTIES ON H-SPACES AND APPLICATIONS

Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.

s-空间的一个注记（英文）

本文研究了s-空间的性质.利用加法定理及剩余性质,得到以下结论:(1)如果s-空间X是可数多个度量子空间的并,则X是序列空间;(2)如果非局部紧拓扑群G在某个紧化b G中的剩余是遗传s-空间,则G是可分度量空间或σ-紧空间.以上性质推广了Arhangel’skii关于s-空间的一些已有结论.

THE PICARD THEOREM ON S-METRIC SPACES

Recently, the notion of an S-metric space is defined and extensively studied as a generalization of a metric space. In this paper, we define the notion of the S∞-space and prove its completeness. We obtain a new generalization of the classical ＂Picard Theorem＂.

μ-Separations in generalized topological spaces

This paper takes some investigations on generalized topological spaces with some μ- separations. Some characterizations of μTi-spaces for i = 0, 1, 2, 3, 4, μTn-spaces and μR0-spaces are obtained and some relations among these spaces are established.

Some Topological Properties of Charming Spaces

In this paper, we mainly discuss the class of charming spaces. First, we show that there exists a charming space such that the Tychonoff product is not a charming space. Then we discuss some properties of charming spaces and give some characterizations of some class of charming spaces. Finally, we show that the Suslin number of an arbitrary charming rectifiable space is countable.

A&zeta;x- and Open <i>C_D^*</i>-Filters Process of Compactifications and Any Hausdorff Compactification

By means of a characterization of compact spaces in terms of open CD*-filters induced by a , a - and open CD*-filters process of compactifications of an arbitrary topological space Y is obtained in Sec. 3 by embedding Y as a dense subspace of , YS = {ε |ε is an open CD*-filter that does not converge in Y}, YT = {A|A is a basic open CD*-filter that does not converge in Y}, is the topology induced by the base B = {U*|U is open in Y, U ≠φ} and U* = {F∈Ysw (or YTw)|U∈F}. Furthermore, an arbitrary Hausdorff compactification (Z, h) of a Tychonoff space X?can be obtained from a by the?similar process in Sec.3.

3DT1-SPACE技术评价颈动脉斑块易损性的优势及颈动脉易损斑块的危险因素分析

目的研究3DT1-SPACE技术评价颈动脉斑块易损性的优势及颈动脉易损斑块的危险因素。方法选取2019年9月-2021年9月就诊于北京怀柔医院的256例动脉粥样硬化患者为研究对象,根据随机对照原则,将其分为实验组与对照组,每组分别为128例。患者根据病变狭窄程度分为1-4级,对照组中1-4级狭窄患者分别为27例、30例、40例、31例,并采用常规超声多普勒检查,实验组中1-4级狭窄患者分别为25例、37例、39例、27例,并采用磁共振高分辨血管成像技术:三维T1加权序列可变反转角度快速自旋回波序列(3DT1-SPACE)检查,分别测定颈动脉血管斑块的稳定性、易损性及颈动脉易损斑块的危险因素,并以数字化减影血管造影术作为金标准,分析其诊断的准确性。结果两组患者颈动脉狭窄分级患者比例及一般情况比较,差异值无统计学意义(P>0.05)。对照组患者中:①27例动脉狭窄1级患者中,共54支颈动脉血管,经过颈部血管彩超及脑血流图检查提示有17支血管有颈部动脉血管斑块形成,发生率31.48%,其中有不稳定斑块血管8支,检出率14.81%;②30例动脉狭窄2级患者中,共60支颈动脉血管,经过颈部血管超声及脑血流图检查发现有32支血管有颈部血管斑块形成,发生率53.33%,其中有不稳定斑块血管10支,检出率16.67%;③40例动脉狭窄3级患者中,共80支颈动脉血管,经过颈部血管超声和脑血流图检查提示有48支血管有不同程度的颈动脉斑块形成,发生率60.00%,其中不稳定斑块血管17支,检出率21.25%;④31例动脉狭窄4级患者中,共62支颈动脉血管,超声多普勒检查发现25支血管有不同程度的颈动脉斑块形成,发生率40.32%,其中易损斑块血管15支,检出率24.19%。实验组中:①1级颈动脉狭窄患者共50支颈动脉血管,3DT1-SPACE成像技术检查发现26支血管有不同程度的颈动脉斑块形成,发生率52%,其中不稳定斑块血管有15支,检出率30%;②2级颈动脉狭窄患者共74支颈动脉血管;3DT1-SPACE成像技术检查发现49支血管有不同程度的颈动脉斑块形成,发生率66.22%,其中不稳定斑块血管22支,检出率29.73%;③3级颈动脉狭窄患者共78支颈动脉血管,3DT1-SPACE成像技术检查发现54支血管有不同程度的颈动脉斑块形成,发生率69.23%,其中不稳定斑块血管有26支,检出率33.33%;④4级颈动脉狭窄患者共54支颈动脉血管,3DT1-SPACE成像技术检查发现42支血管有不同程度的颈动脉斑块形成,发生率77.78%,其中不稳定斑块血管30支,检出率55.56%。比较两组间颈部血管斑块发生率及不稳定斑块检出率,差异有统计学意义(P<0.05)。结论组内随着狭窄度的增加,颈动脉斑块形成发生率越高,不稳定斑块检出率也越高。而3DT1-SPACE成像技术检出率明显高于脑血流图检查,推荐使用3DT1-SPACE技术检查颈动脉血管的易损斑块,对临床早期干预,预防缺血性脑卒中的发生有指导意义。

T2-SPACE序列MRI正常人脑池段眼球运动神经的成像

目的采用MRI技术研究正常人眼球运动有关的颅神经（即眼球运动神经）脑池段的影像特征。方法收集2008年12月至2009年12月天津市第一中心医院放射科健康受试者68名，颅内神经行3DT2-SPACE序列扫描，扫描参数为TR=1000ms，TE=134ms，采集2次，层厚0．8mm，FOV=225mm×225mm，矩阵=384×384，扫描时间为4min2s。运用多平面重组技术进行多维重组，分别在沿神经长轴的层面显示3对眼球运动神经的走行和毗邻结构。2位放射科医师于脑池段独立测量动眼神经、展神经的直径。结果68名志愿者，136侧动眼神经和外展神经脑池段100％显示，滑车神经87％显示；脑池段动眼神经、展神经直径平均分别为2．2、1．3mm，2位医师测量结果差异无统计学意义（F=2．557，1．329；P=0．085，0．271），本组受试者动眼神经、展神经直径与年龄没有线性相关。结论连续的薄层三维T2-SPACE序列扫描结合多平面重组技术可以清晰显示眼运动神经脑池段及其毗邻关系。确切的影像数据测量为某些特殊性的神经源性斜视提供更准确的解剖依据。

MRI 3D T2-SPACE诊断大脑中动脉及基底动脉狭窄的价值

目的评价MRI 3D T2-SPACE诊断大脑中动脉及基底动脉狭窄的价值。方法选取2019年11月至2020年10月在南京医科大学附属淮安第一医院就诊的40例脑血管狭窄患者为研究对象,选取符合研究要求的大脑中动脉及基底动脉共120根。在入院1周内完成颅颈动脉MRI 3D T2-SPACE和数字减影血管造影(DSA)检查,分别评估动脉狭窄程度。按狭窄程度分成轻度(1%~49%)、中度(50%~69%)、重度(70%~99%)和闭塞(100%),和金标准DSA检查对照,计算灵敏度、特异度,并分析MRI 3D T2-SPACE和DSA诊断结果的一致性。结果MRI 3D T2-SPACE诊断大脑中动脉及基底动脉狭窄/闭塞的灵敏度、特异度结果如下,轻度狭窄分别为90.0%、96.4%,中度狭窄分别为77.8%、98.2%,重度狭窄分别为96.7%、97.8%,闭塞分别为87.5%、100.0%。MRI 3D T2-SPACE与DSA检查诊断大脑中动脉及基底动脉轻、中、重度狭窄及闭塞的一致性分别为0.760、0.760、0.934、0.929。结论MRI 3D T2-SPACE能够较准确地评估大脑中动脉及基底动脉狭窄程度,特别是对重度狭窄及闭塞的诊断与DSA检查结果高度一致,作为血管检查的一种全新技术,其将会在临床发挥重要作用。