Boundedness of semilinear Duffing equations at resonance in a critical situation

In this paper, we propose a sufficient and necessary condition for the boundedness of all the solutions for the equation $\ddot{x}+n^{2}x+g(x)=p(t)$ with the critical situation that $|{\int }_0^{2\pi }p(t)e^{?int}dt|=2|g(+\infty )?g(?\infty )|$ on g and p, where $n\in {\mathbb{N}}^{+}$, $p(t)$ is periodic and $g(x)$ is bounded.     

Reductions of interval noncooperative games

Noncooperative games of a finite number of persons with interval-valued payoff functions are considered. The concept of an equilibrium situation is introduced. A reduction of such games to deterministic noncooperative games is proposed. Properties of the reduced games are discussed. Interval antagonistic and bimatrix games are examined, and illustrative examples are considered.     

人工神经网络在SARS疫情分析与预测中的应用

讨论人工神经网络在 SARS疫情分析与预测中的应用 .采用三层结构的反向传播网络 ( Backpropagation network,简称 BP网络 ) ,对 SARS在中国的传播与流行趋势及控制策略建立了网络模型 .并利用实际数据拟合参数 ,针对北京、山西的疫情进行了计算仿真 .结果表明 ,该网络模型算法收敛速度较快 ,预测精度很高     

计算机模拟织物变形形态的研究现状

介绍了国外计算机图形学界对织物变形形态的研究现状．按建模原理分为几何方法。物理方法及综合方法．     

A DIAGNOSTIC STUDY OF FORMATION AND MAINTENANCE OF BLOCKING SITUATION ON THE NORTHERN HEMISPHERE USING E-P FLUX

In this paper, the variations of the mean flow, the E-P flux and its divergence of planetary waves in the process of the formation, maintenance and collapse of the blocking situation in the second half of February, 1979 are analysed with the transformed Eulerian mean-motion equations.Analysed results show that because the basic flow changes from the easterly into the westerly in the lower troposphere at high latitudes, the planetary wave for wavenumber 2 strongly propagates upwards, and because of the interaction between the upward propagating planetary wave and the basic flow, the westerty is weakened and approaches to the resonant flow of wavenumber 2 in the middle and upper troposphere (then, in the lower and middle Stratosphere). This may cause the anomalous amplification of planetary wave for wavenumber 2, and moreover make the mean flow change from the westerly into the easterly in the lower and middle stratosphere, following the upper troposphere. Therefore, the blocking situation can be formed a     

影视节目中酸碱指示剂的应用与评价

将影视节目中酸碱指示剂的应用引入到化学教学中，让学生在娱乐中学习化学知识，创造一个有趣的学习情境，提高学生的学习兴趣。     

基于化学学科核心素养发展的元素化合物教学案例研究*

通过“燃煤污染与防治”“金属矿物的开发利用”等2个典型的元素化合物教学案例,探讨如何将元素化合物的学习置于一定挑战性的问题情境中,形成问题解决基本思路,从化学视角分析解决实际问题,促进学生化学学科核心素养的发展。     

培养高阶思维和核心素养的高考有效复习——以“从海洋到餐桌上的碘”为例

选择学生比较熟悉的碘元素,结合海带提碘和精碘制碘酸钾工业生产情境展开复习教学,综合利用元素性质、反应原理探索含碘物质之间相互转化的最优路径,并对转化过程中的某些现象进行实验探究。通过设置有梯度的问题串引导学生在思考、分析、探究、归纳中完成综合型学习任务,实现知识规律化和体系化整合以及高阶思维培养。     

基于真实情境的初中化学微项目教学实践与反思*——以“溶液的形成”为例

以“溶液的形成”为例进行微项目教学实践,选择学生熟悉的护手霜为主题情境,巧妙设计了“原料分散”“微观探秘”“辨识活动”“对比实验”“感知乳化”等系列微项目活动,通过情境不断地设置认知冲突,引导学生反思、修正并最终形成更完善的概念,在环环相扣的探究活动中使学生自主建构结构化的知识。通过制作“护手霜”将“溶解”和“乳化”串联,感知溶液,感受乳化,感悟人与自然、社会的和谐、可持续发展。     

基于真实情境的高中化学作业设计——化学中常用的实验方法

依据课程标准,围绕核心素养,通过实例阐述了“双新”背景下基于真实情境的高中化学作业的设计。从生活-生产、学术研究、化学实验、化学史实、教材和跨学科等6个方面挖掘真实情境,精心组织问题,进行作业设计,突出作业对落实核心素养的功能价值。