拉格朗日微分中值定理几种不同的证法

拉格朗日(Lagrange)微分中值定理在高等数学中占有重要地位,然而多年来其证明方法单一,为弥补此不足,采用几种不同构造函数的方法证明之.     

泰勒公式在用等价无穷小量替换求极限中的应用

用等价无穷小量替换求极限是一种常用、方便、有效的方法.但寻求等价无穷小量并非易事.本文主要探讨用泰勒公式寻求等价无穷小量及用等价无穷小替换求极限的方法.     

如何构造辅助函数--浅谈中值定理及相关命题的证明

证明微分中值定理及相关命题时，如何构造辅助函数，本作了一些探讨，提出了构造辅助函数的一般思路，对现有教材中的方法提出了不同意见。     

Simple groups with orders 2^a3^b5^cp^d, 2^a3^b7^cp^d and 2^a3^b5^c7^d

This work deals with the power exponent r1 and r2 respectively of the maximal and second-maximal prime factors ofthe order of simple K4-group, and the classification for simple {5,7}′-K4-group G (i.e. ｜G｜ can not be divided by 5 nor by 7 or ｜π(G)｜ = 4 ), simple 5′ -K4-group G (i.e. ｜G｜ can not divided by 5 and ｜π(G)｜ =4) and simple 7′-Ea-group G (i.e. ｜G｜ can notdivided by 7 and ｜π(G)｜ =4). It is derived that r1 =1, 2 and 4, and r2 is not greater than 4. All the simple K4-groups with order 2^a3^b5^cp^d, 2^a3^b7^cp^d and 2^a3^b5^c7^d are obtained.     

《搜神记》同义变换修辞的语义分析

运用同义变换分析法,对《搜神记》同义变换修辞的语义特色进行个案研究,可知其主要特色是模糊同义,体现为模糊概念及模糊命题的同义变换两大类型。     

关于应用残数定理证明代数恒等式问题的探讨

函数在孤立奇点的残数,函数在无穷远点的残数.利用残数及残数定理可以证明高等代数中的一些恒等式,同时导出拉格朗日插值公式.     

集值映象与随机集值映象的几个不动点定理

在本文中我们得到了关于集值映象与随机集值映象的几个新的不动点定理,扩充了[3]中结果,主要结果是定理1—3与定理6—7     

TDM政策实施及评价综述

交通拥挤问题是目前城市社会系统面临的日益严重的问题之一。本文通过对可变工作制、道路拥挤收费、合乘车和电子办公等交通需求管理政策的实施情况和评价指标进行总结论述，证明了从控制交通需求入手，对交通需求进行合理控制和引导，是解决城市交通供需矛盾的根本方法，对于我国推广交通需求管理策略的实施和研究有一定的借鉴意义。     

Learning while playing: Children's Forest School experiences in the UK

Children's outdoor play is declining, despite clear links between play, learning and development. Alternative learning initiatives which provide children with a diversity of play opportunities, including the chance to play outdoors, are therefore needed. One such programme, Forest School, is increasing in popularity in the UK and internationally, yet little is understood about its impact on children's learning, or how alternative approaches are informing learning in mainstream settings. This novel study examined primary school children's experiences of engaging in a Forest School programme in relation to this intersection between formal and informal approaches to learning. It explored how children interpret their experiences when faced with a fusion of learning environments and critically evaluates the benefits children realise, when asked to reflect on their learning engagement in both classroom and outdoor settings. Interviews were conducted with 33 children from two mainstream primary schools in England who had recently completed a 6-week Forest School programme. A rigorous phenomenological thematic analysis revealed three inter-related themes: a break from routine; learning through play; collaboration and teamwork. The findings suggest that the blending of Forest School with mainstream settings contributes to children's social, cognitive, emotional and physical skill development through experiential learning using play. These findings are significant because they not only emphasise the values of social constructivist play-pedagogy which underpin Forest School practice, but also highlight the need for primary schools to consider learning outside of the classroom as an effective pedagogy.     

带参数的奇异三阶三点边值问题的正解

本文讨论下述带参数的奇异三阶三点边值问题■其中γ>0是参数且a(t)在t=0和t=1处具有奇性,当f和a满足适当条件时,对一定取值范围内的γ,获得了上述边值问题正解的存在性与不存在性.所用主要工具是Guo-Krasnoselskii不动点定理.