一个不等式的证明方法探讨

针对一道不等式的证明题,进行探讨,提出3种证明方法,即可以利用泰勒(Taylor)公式、拉格朗日(Lagrange)中值定理证明和反证法证明,进而培养学员的发散思维.

习题课的探究性教学

探究性教学注重学生的自主学习、合作学习、开放学习,注重师生间的交互作用。探究性教学可以提高学生的学习兴趣,提高学生对知识的认知度。本文介绍在讲授微积分中值定理的习题课中如何使用探究性教学,使学生加深对该知识的理解并体会线性代数在微积分中的应用。

Reflective Ladder Topology Network Based on White Light Fiber-Optic Mach-Zehnder Interferometer

In order to improve the multiplexing capability of the optical sensors based on the lower interferential optic fiber sensing technology and the white light fiber-optic Mach-Zehnder interferometer,reflective ladder topology network ( RLT) with tailored formula was proposed. The topology network consists of 6 rungs sensing elements linked by 5 couplers. Two cases with different choices of couplers were contrasted: one is equal coupling ratio,and the other is tailored coupling ratio. Through the simulation of these two cases,the detailed multiplexing capability was analyzed,and accordingly the experiments were also carried out. The simulation results showed that,the tailored formula enhances the multiplexing capability of the structure. In the first case, the maximum number of sensors which can be multiplexed is 8,and in the other case is 12 fiber optic sensors. The experimental results have a good agreement with numerical simulation results. Thus,it is considered expedient to incorporate RLT into large-scale building,grounds,bridges,dams,tunnels,highways and perimeter security.

液压支架底板比压特性研究

底板比压对液压支架支护性能影响较大。运用弹性基础梁理论进行推导,得到了液压支架底板比压强度分布解析公式,与实验数据进行对比,两者基本一致,验证了理论结果的正确性。在此基础上,为了计算方便,对底板比压集度公式进行了简化计算处理,对比了底板比压多项式简化计算与数值计算结果。研究表明,多项式简化计算结果偏小,在实际应用中,应考虑上述计算方法带来的偏差。