泰勒公式的应用

泰勒公式是数学分析这门课中的一个重要公式,它被广泛地应用于一些重要问题的计算及证明上。本文扼要地介绍了泰勒公式在极限、不等式、中值公式、函数方程以及在中学解析几何中的具体应用。     

一类广义多值向量变分不等式问题

本文在Hauscloff拓扑向量空间中引入和研究了一类广义多值向量变分不等式问题,通过运用删定理证明了解的一些存在性定理,推广和改进了文献[3][5]的相关研究成果．     

A nonlinear inverse problem in estimating simultaneously the external forces for a vibration system with displacement-dependent parameters

The conjugate gradient method (CGM), or the iterative regularization method, is applied to a generalized inverse nonlinear force vibration problem, (i.e. system parameters are function of displacement), to simultaneously estimate the unknown time-dependent external forces for a multiple-degree-of-freedom damped system by using the measured displacements. The system parameters of the present study are considered function of displacement, thus it is classified as a genuine nonlinear inverse vibration problem. The numerical experiments are performed to test the validity of CGM by using different types of system parameters, external forces and measurement errors in this study.     

f(x)∈g(x)诱导的广义变分不等式

本文研究线性拓扑空间到其共轭空间的映射与一凸函数联系的广义变分不等式问题,论述该广义变分不等式问题的解与映射值和凸函数次微分的关系,通过Gap函数及对偶问题讨论解的存在性和Gap函数的特性。     

Teacher Perceptions of Learning Motivation and Classroom Behavior: The Role of Student Characteristics

The present study investigates whether teacher perceptions of students’ cognitive skills, their learning motivation, and their classroom behavior differ according to students’ socioeconomic status, immigrant background, and gender. Data from N = 4746 German fourth graders and data from their parents and teachers were analyzed using structural equation modeling. Controlling for student achievement as measured in a standardized achievement test and student motivation as measured by student and parent reports, we found that teachers overestimated the cognitive skills of high-SES students and girls in comparison to those of low-SES students and boys. Similarly, teachers perceived high-SES students, students who are not from an immigrant background, and girls as having a higher learning motivation and as having more cognitive skills. Finally, we found that teachers’ perceptions of students’ learning motivation and classroom behavior mediated the relationship between student characteristics and cognitive skills as perceived by the teacher.     

Selling ‘Socialism with Chinese Characteristics’ ‘Thought and Politics’ and the legitimisation of China's developmental strategy

This article examines China's senior high ‘Thought and Politics’ (sixiang zhengzhi) texts, analyzing how these seek to legitimize the regime's developmental strategy. It is argued that their overriding emphasis on the strengthening of the state is premised upon the imperative of securing China's position within global order conceived in Darwinian terms. While the school curriculum cannot be seen simply as an instrument with which the party-state shapes and moulds popular consciousness at will, it is assumed here that it does play a significant role in the political socialisation of young people. ‘Thought and Politics’ serves as a benchmark of ideological correctness within what remains a highly centralised system of curriculum development. The article begins by briefly analyzing the shifts and continuities in China's developmental strategy, and of the roles assigned to education within that strategy. The importance traditionally attached to schooling's moralizing function is noted, as is the relatively elitist character of the audience for the ‘Thought and Politics’ course – senior high school students. After considering how and why a discourse of state-centred patriotism has become central to the Communist Party's efforts to legitimise its authority, the implications of the ‘Patriotic Education Campaign’ for the broader school curriculum are reviewed. The main discussion then focuses on the way in which the current texts for ‘Thought and Politics’ justify the national developmental strategy in terms derived from this patriotic discourse. Some potential implications of this combination of patriotic political socialisation with a highly labour-repressive developmental model, setting the case of China in comparative and historical context.     

Hill密码中剩余阵的逆矩阵的求法及Matlab实现

在计算机网络中,为了保证数据的保密性和可靠性,需要对数据进行加密与解密。本文先介绍了Hill密码算法,指出Hill密码密钥矩阵即剩余阵的逆矩阵存在的充要条件,最后较详细讨论了求剩余阵的逆矩阵的算法及其Matlab程序,从而可通过Hill密码对信息进行快速加密与解密,实现用户信息安全保护。     

毕节试验区技术进步与经济发展相关性分析

以反梯度理论作为理论基础,采用改进的C-D生产函数模型对1988—2008年毕节试验区经济发展研究发现:自试验区成立以来,经济增长主要依靠劳动力数量增加和资金投入的推动,是一种粗放型的经济增长方式,经济效率低下原因之一是较落后的生产技术,它制约了毕节试验区经济较快发展。因此,试验区经济发展初期应该不断开拓市场,在积极引进资金和管理经验同时,应不断加快技术进步,推动试验区经济实现集约型增长。     

一类离散型欧阳不等式的推广及其应用

近年来,Pachpatte对欧阳不等式作了一系列的推广研究工作,我们主要讨论了几个欧阳型非线性离散不等式,并利用所得结果讨论了一类差分方程解的性质.     

一个流传十余载的数学问题的解答

本文给出a~b与b~a在1相似文献