关于求平方根的三种迭代序列的收敛速度及收敛渐近性

运用求解初等代数方程(不动点)的方法,建立了关于求平方根a(a 0)的分式线性迭代序列、牛顿迭代序列、哈雷迭代序列的收敛速度及收敛渐近性定理.     

迭代法求解一类非单调算子方程

通过构造迭代收敛序列,讨论了一类非线性二元算子方程解的存在性和唯一性,并给出迭代收敛于解的误差估计,所得结果拓宽了某些已知结果的适用范围.     

Banach空间混合单调算子方程解的迭代序列的收敛性

利用非对称迭代技巧,讨论了不具有连续性和紧性条件的混合单调算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广。     

渐近非扩张映象的具误差的修正Reich迭代收敛性

在实Banach空间中,研究具误差的修正Reich迭代序列的收敛问题,获得了第一型和第二型具误差的修正Reich迭代序列强收敛到不动点的充要条件,所得结果改进和推广了已有文献的相关结果.     

迭代序列收敛阶的探讨

就一些理论与计算问题中经常考察的单点迭代序列X1=a,Xn＋1=f（xn）（n=1,2,……）,探讨在迭代序列收敛的条件下,估计其收敛的阶．通过推算得到一些较为精确的结论,并给出了一种如何讨论迭代序列收敛阶估计的方法．     

一类二元算子方程组的迭代解法

利用非线性泛函分析中的锥与半序理论和单调迭代方法,讨论了不具有连续性和紧性条件的非单调二元算子方程组解的存在唯一性,给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果本质改进和推广.     

Banach空间中一类广义混合平衡问题系统解的存在性及算法

在实Banach空间中引入和研究了一类新的广义混合平衡问题组.首先考虑了一个辅助混合平衡问题组,通过它与广义混合平衡问题组的等价性,证明了它的解的存在性和唯一性;其次构造了广义混合平衡问题组的近似解的迭代算法.在一定的条件下,证明了由算法生成的迭代序列的强收敛性,这些结果推广并改进了近期的某些结果.     

Banach空间中具误差的Ishikawa和Mann迭代序列的强收敛定理

在新的限制条件下,通过引入序列不等式证明了具误差的Ishikawa和Mann迭代序列的强收敛定理,并得出了Ishikawa和Mann迭代的强收敛定理.     

平均算子及梯度投影生成的Ishikawa序列的收敛性

在该文中,我们引入了与平均算子和梯度投影算子相关的Ishikawa迭代序列,且证明了这种迭代序列在一定的假设条件下弱收敛。该文中已有的结论推广了其它文献中的相关结果。     

Banach空间中非单调二元算子方程的迭代解

利用非线性泛函分析中的单调迭代方法和锥与半序理论,讨论Banach空间不具有单调性的二元算子方程解的存在性与唯一性,并给出收敛于方程的解的迭代序列和误差估计.文中的算子不具有任何连续性和紧性,也不要求算子是某序区间上的自映象.本文结果改进和推广了混合单调算子方程与一元算子方程迭代求解问题的某些相应结果.     

线性方程组的距离迭代解法

目前,线性方程组的数值求解,常用的方法是Gauss-Seidel迭代法.Gauss-Seidel的收敛性要求条件很强.对于一般n元方程组,如果系数矩阵的秩小于n,则Gauss-Seidel迭代一般不能使用.本文所要介绍的距离迭代法,及其改进方法,折线迭代法,对于方程组基本上没有什么要求,只要有解,就一定能够得到.距离迭代法具有鲜明的几何意义,理论、方法十分朴素易懂,速度快,精度高,是一个值得推荐的优秀数值方法.     

青春期轻度智障学生与普通学生心理健康特点比较研究

使用心理健康诊断测验(MHT)手册对处于青春期的轻度智障学生与普通学生的心理健康特点进行比较研究,结果发现:(1)青春期轻度智障学生与普通学生在心理健康方面存在显著差异;(2)两类学生心理健康在性别上比较,男生间差异显著,女生间差异不显著;(3)不同年级的智障学生间差异显著;(4)智障学生中男生的心理健康问题比女生明显。本文分析了造成青春期轻度智障学生心理健康问题的原因,并为特殊学校开展心理健康教育提出建议。     

“假象等值”现象在《红楼梦》第三回两个译本中的体现

《红楼梦》是我国文学史上的巅峰之作,被译为多种语言,其中杨宪益和霍克斯对于《红楼梦》的英译本则更是文学翻译中的经典之作.然而,受到一定条件的影响,他们的译作中也会出现“假象等值”的问题.文章从文学文体学的角度出发,引用中丹的“假象等值”的说法,分别从内容层面和语言形式层面对《红楼梦》第三回两个英译本中存在的“假象等值”问题进行研究并试图分析其产生的原因,旨在为文学作品的翻译提出一定的参考意见.     

Assessing Structural Equation Models by Equivalence Testing With Adjusted Fit Indexes

Conventional null hypothesis testing (NHT) is a very important tool if the ultimate goal is to find a difference or to reject a model. However, the purpose of structural equation modeling (SEM) is to identify a model and use it to account for the relationship among substantive variables. With the setup of NHT, a nonsignificant test statistic does not necessarily imply that the model is correctly specified or the size of misspecification is properly controlled. To overcome this problem, this article proposes to replace NHT by equivalence testing, the goal of which is to endorse a model under a null hypothesis rather than to reject it. Differences and similarities between equivalence testing and NHT are discussed, and new “T-size” terminology is introduced to convey the goodness of the current model under equivalence testing. Adjusted cutoff values of root mean square error of approximation (RMSEA) and comparative fit index (CFI) corresponding to those conventionally used in the literature are obtained to facilitate the understanding of T-size RMSEA and CFI. The single most notable property of equivalence testing is that it allows a researcher to confidently claim that the size of misspecification in the current model is below the T-size RMSEA or CFI, which gives SEM a desirable property to be a scientific methodology. R code for conducting equivalence testing is provided in an appendix.     

浅议翻译中的语用对等问题

语用学是一门研究语言运用及其与使用者之间关系的学科。作者通过分析翻译的交际特性，指出语用学的理论可以被采用作为研究翻译问题的工具，因为作为语言学分支的语用学本身就是在交际研究的过程中产生和发展的。并且．将其与奈达的功能对等相联系，作者提出了语用对等的话题．同时。也从语用对等角度探讨了翻译中存在的一些问题。在两个等效理论的基础上。对翻译中在实现语用等效的过程中出现的具体困难和一些可行的解决方法进行了探讨和分析。     

Lost in translation: methodological considerations in cross-cultural research

In cross-cultural child development research there is often a need to translate instruments and instructions to languages other than English. Typically, the translation process focuses on ensuring linguistic equivalence. However, establishment of linguistic equivalence through translation techniques is often not sufficient to guard against validity threats. In addition to linguistic equivalence, functional equivalence, cultural equivalence, and metric equivalence are factors that need to be considered when research methods are translated to other languages. This article first examines cross-cultural threats to validity in research. Next, each of the preceding factors is illustrated with examples from the literature. Finally, suggestions for incorporating each factor into research studies of child development are given.     

基于目的论的招投标文件翻译策略

招投标文件是贯穿国际竞争性招标活动的指南和法律依据。根据功能派目的论三原则,以目的语文本为导向,综合考虑招投标文件英汉互译的语体、语言及文化因素,满足译文读者的期望,有助于指导译者摆脱传统“对等论”的束缚,为了充分实现此类应用文本的翻译目的和功能,宜突破原文表层的语言形式限制,积极主动地制定可行的翻译策略。     

Practical intelligence and tacit knowledge: Advancements in the measurement of developing expertise

Practical intelligence as measured by tacit-knowledge inventories generally has shown a weak relation to other intelligence constructs. However, the use of assessments capturing specialized, job-related knowledge may obscure the generality of practical intelligence and its relation to general intelligence. This article presents three studies in which three new everyday tacit-knowledge inventories are examined. Confirmatory factor analysis was used to evaluate the factor structure of each inventory and their measurement equivalence across samples. In addition, a single-factor model was tested for its fit to the covariance among the three new tacit-knowledge inventories and the Practical subscale from the Sternberg Triarchic Abilities Test. The relation between a higher-order practical intelligence factor emerging from this analysis and fluid and crystallized intelligence also was investigated. The results indicate that the new tacit-knowledge inventories are reliable and valid assessments of practical intelligence across diverse samples. The results also support the conclusion that practical intelligence and general intelligence are not the same construct, though some overlap was found.     

An Approach for Categorizing DIF in Polytomous Items

A widely used approach for categorizing the level of differential item functioning (DIF) in dichotomous items is the scheme proposed by Educational Testing Service (ETS) based on a transformation of the Mantel-Haeszel common odds ratio. In this article two classification schemes for DIF in polytomous items (referred to as the P1 and P2 schemes) are proposed that parallel the criteria set forth in the ETS scheme for dichotomous items. The theoretical equivalence of the P1 and P2 schemes to the ETS scheme is described, and the results of a simulation study conducted to examine the empirical equivalence of the P1 and P2 schemes to the ETS scheme are presented.     

两类模子范畴间等价的联系

模子范畴Copres(KA)与Gen(PR)间的等价与模子范畴Cogen(KA)与Pres(PR)间的等价是模范畴中两类重要的等价。本文主要给出了这两类模子范畴间等价的联系。