微积分中值定理的统一证明及推广形式

Cauchy中值定理统一了微积分中值定理各种形式，从而建立了微分中值定理和积分中值定理之间的内在联系,以Rolle中值定理为基础，借助不同形式辅助函数可对其它几个中值定理作出多种形式的统一证明；利用Taylor公式可以进一步导出微积分中值定理的推广形式。     

Enjoyment,Boredom, Anxiety in Elementary Schools in Two Domains: Relations With Achievement

This study investigated the enjoyment, boredom, and anxiety of elementary school students and the relations of these emotions with achievement in two domains. Seven-hundred-and-sixty-seven second- and fourth-graders completed an adaptation of the Achievement Emotions Questionnaire-Elementary School (AEQ-ES: Lichtenfeld, Pekrun, Stupnisky, Reiss, & Murayama, 2012) assessing their emotions in their native language and mathematics. The hierarchical model of the instrument was invariant across countries (Italy, Germany, United States), grades, gender, and domains. Anxiety related negatively to achievement, while enjoyment related positively to achievement only in mathematics. Second-graders reported more enjoyment and less boredom and anxiety than fourth-graders. Overall, mathematics resulted in better emotions than native language. The results have implications for future research on achievement emotions in elementary school.     

A taxonomy of emotion and cognition for student reflection: introducing emo-cog

ABSTRACT

Reflective practice can support student learning by enabling praxis: the bridging of the theory of the classroom with the students’ learning experience. Students’ written reflections are the most common mode for practising and documenting reflection. Available typologies for coding the level of student written reflections focus on the cognitive domain. The coding of student reflection data from four locations (Australia, Denmark, Hong Kong and South Korea; n?=?760) revealed that the focus on the cognitive domain could not capture the role and contribution of the affective domain of reflection for learning. This study conceptualises and presents our new two-domain emo-cog taxonomy, together with empirical evidence to substantiate a new way of thinking about reflection for learning. Emo-cog identifies multiple levels of affective responses along with traditional cognitive reflections. Emotions are found to make a significant contribution to student reflections. Learning is clearly a matter of head and heart.     

用时域有限差分法对槽线特性的全波分析

应用时域有限差分法计算了槽线的传输特性和色散特性 .由于采用了改进的色散边界条件 ,改善了槽线的高斯脉冲的拖尾现象 ,使计算域大为减少 ,节省了内存空间和计算时间 ,更方便于在个人计算机上运行 .同时较好的边界棱和顶点的处理 ,使计算更为精确且收敛性好     

评逻辑研究中的极左干扰

世界观与方法论有一致,也有不一致。形而上学方法是科学方法。形式逻辑是形而上学方法的产物,故需要接受辩证方法的改造。受苏联极左思潮影响,辩证民形式逻辑被人为分家,中国逻辑研究被极左思潮误导已半个世纪了。黑格尔、马恩列的逻辑理想就是在辩证法的指导下,对形式逻辑认识过程的整合,辩证逻辑实是认识逻辑。     

关于有限环的若干结果

环是近世代数的重要概念之一。本文主要讨论有限环是域的若干充分必要条件,揭示了这些条件可以作为有限整环、除环、域等重要概念的刻划。这将有助于我们进一步了解和研究有限环的构造。     

试析网络域名侵权及其法律适用

当前有关计算机网络域名的民事纠纷案件的发生有上升之势，网络域名侵权、不正当竞争行为的发生不仅损害了合法经营者的商标权，也损害了网络消费者的合法权益。正确认识域名权与商标权的区别以及域名抢注、使用和转让过程中构成的不正当竞争行为，正确适用法律来解决这些民事纠纷，以便及时有效地保护合法网络经营者和其他经营者、消费者的正当权益。     

儿童书面语空间维度词"高/低"隐喻域的认知

以认知语言学的词义分析理论和隐喻理论为理论基础,运用认知主义的观点和方法,抽查1 315名中小学生约125万字随堂作文中七对空间维度词的出现时间、顺序和使用频率,着重甄别"高/低"的隐喻域分析,揭示儿童抽象概念和空间概念发展之间的关系。     

A Novel Absorbing Boundary Condition for the Frequency—Dependent Finite—Difference Time—Domain Method

A new absorbing boundary condition(ABC) for frequency-dependent finite-difference time-domain algorithm for the arbitrary dispersive media is presented.The concepts of the digital systems are introduced to the (FD)^2TD method.On the basis of digital filter disigning and vector algebra,the absorbing boundary condition under arbitrary angle of incidence are derived.The transient electromagnetic problems in two-dimensions and three-dimensions are calculated and the validity of the ABC is verified.     

Sedimentation of a single particle between two parallel walls

INTRODUCTIONThecenteringofaparticlewhichsettlesatsmallReynoldsnumbershadbeenstudiedbyseveralresearchers.ChristophersonandDowson(1959)foundthattheoretically,whentheeffectofinertiaisnegligible ,aballachieveseccentricequilibriuninaverticaltubehavingadiameteronlyslightlyexceedingthediameteroftheball.Theyverifiedtheiranalysiswithexperiments.VaseurandCox (1977)didexperimentsonthesedimentationofasmallsphereinaverticalductofarectangularcross section .Theyobservedthatthespherealwaysmigratedtothec…