Newton迭代法及其改进

应用Taylor展开式构造出Newton迭代法,论证了它的局部收敛性及收敛阶,然后指出了它的不足,并通过论证提供了三种改进方案。     

New Method for the Determination of Ionization Constants of Polyprotic Weak Acid

Ionizationconstantsofpolyproticweakacidsarebasicthermodynamicsdata .Undermanycircumstances ,measurementsofionizationconstantsofpolyproticweakacidsareroutinelynecessary ,e .g .,fornewcompounds ,forwell establishedcompoundsatagiventemperaturewherepreviousdataareunavailable,andindifferentsol ventsystems.ThemainmethodsfordeterminationofionizationconstantsreportedinRefs.[1]— [4 ]arecon ductometricmethod ,potentiometrictitrationmethod ,NMRmethodandspectrophotometricmethod .Inthispaper,anewmethodf…     

平-凸透镜曲率半径测量的新方法

在牛顿环实验的基础上利用平-凸透镜代替平板玻璃,观察到不同疏密程度的等厚干涉图样,并对不同平-凸透镜的曲率半径进行测量和计算,分析不确定度,为薄膜干涉法测量平-凸透镜的曲率半径提供了一种新的途径.     

Smoothing inexact Newton method for solving P 0-NCP problems

Based on a smoothing symmetric disturbance FB-function, a smoothing inexact Newton method for solving the nonlinear complementarity problem with P0-function was proposed. It was proved that under mild conditions, the given algorithm performed global and superlinear convergence without strict complementarity. For the same linear complementarity problem （LCP）, the algorithm needs similar iteration times to the literature. However, its accuracy is improved by at least 4 orders with calculation time reduced by almost 50%, and the iterative number is insensitive to the size of the LCP. Moreover, fewer iterations and shorter time are required for solving the problem by using inexact Newton methods for different initial points.     

基于无线模块和VisualBasic的仿真演示实验设计——以牛顿第二定律实验为例

介绍了基于无线模块和VisualBasic仿真演示实验设计的功能．并以牛顿第二定律实验为例,利用霍尔传感器将实验物理变量的变化转换成电脉冲信号并通过无线模块发射．利用USB无线模块接收将信号输入计算机,然后控制VisualBasic设计的演示实验的仿真界面,实现仿真界面与演示实验同步进行．     

牛顿环实验教学的讨论

牛顿环实验是利用分振幅法获得可相干光束的典型实验,在光学测量和光学加工技术上有着非常重要的应用。文章阐述了牛顿环实验的干涉原理,对牛顿环实验教学中需注意的问题进行了讨论。     

牛顿自相矛盾的“上帝观”析评

科学的发展夺取了上帝（造物主）的＂立足之地＂,不断提升和强化了无神论在认识自然中的话语权,这是历史的发展趋势。但是,至今却有人拿＂科学家信仰上帝＂来做文章,企图把科学的阵地再归还给上帝。通过对牛顿上帝观的内在矛盾的分析可看出这种做法的错误所在。     

Applying the Science of Learning to the Learning of Science: Newton’s Second Law of Motion

Science teaching and learning require knowledge about how learning takes place (cognition) and how learners interact with their surroundings (affective and sociocultural factors). The study reported on focussed on learning for understanding of Newton’s second law of motion from a cognitive perspective that takes social factors into account. A cognitive refinement instructional approach (CRIA) was used to organise and sequence learning activities, while students were engaged through inquiry and group work. Students’ real-life experiences were used as starting point of the learning sequence. The efficiency of the sequence was determined with the aid of the Force Concept Inventory (FCI) and complemented with the students’ reflections on the sequence, showing their epistemological preferences. The results indicated that a CRIA aided in constructing more coherent scientific knowledge and enhanced understanding, while reducing misconceptions on the topic. In their reflections, the students acknowledged that experiential and experimental evidence, as well as guided formation of a scientific explanatory framework, are foundational for a deeper understanding of the challenging topic.     

测量工程中某些非线性问题的数值解法

以高斯投影正算中求X0的数学模型为基础，构造了求底点纬度毋的牛顿迭代算法，并对牛顿迭代法的适用条件进行了说明。经过实例计算表明相对于常用的求Bf的算法，该方法具有计算简便、速度快、精度高等特点，在实际工作中有较高的实用价值和参考价值。     

MATLAB在光学实验中的应用

利用MATLAB强大便捷的科学计算功能，引入多项式拟合法处理牛顿环实验数据，提高了实验的测量精度，拓展了测量范围；基于MATLAB的科学可视化功能对光学实验现象进行计算机模拟，在实验教学中应用效果明显。