Test for Heteroscedasticity in Partially Linear Regression Models

Testing heteroscedasticity determines whether the regression model can predict the dependent variable consistently across all values of the explanatory variables. Since the proposed tests could not detect heteroscedasticity in all cases, more precisely in heavy-tailed distributions, the authors established new comprehensive test statistic based on Levene's test. The authors built the asymptotic normality of the test statistic under the null hypothesis of homoscedasticity based on the recent theory of analysis of variance for the infinite factors level. The proposed test uses the residuals from a regression model fit of the mean function with Levene's test to assess homogeneity of variance. Simulation studies show that our test yields better than other methods in almost all cases even if the variance is a nonlinear function. Finally, the proposed method is implemented through a real data-set.     

爆燃压裂技术对水泥试样致裂实验研究

为模拟爆燃压裂技术的破岩效果和裂缝形态，进行了水泥试样致裂实验。制作了含有模拟射孔孔眼的ϕ244.5 mm套管，外维为ϕ1 600 mm×1 000 mm的水泥试样9组，并采用现场常用的航天复合推进剂和军工双基药进行实验。在实验基础上，与层内爆炸技术和重复强电冲击波技术进行储层致裂机理对比分析。研究表明，爆燃压裂技术对9组水泥试样具有100%致裂效果，裂缝条数在2~4条，裂缝缝宽在厘米级，且水泥试样的顶部缝宽要大于中部。随着火药用量减少，井筒内峰值压力减小，岩石裂缝条数减少，裂缝宽度减小。其造缝机理和形态有别于使用炸药的层内爆炸技术和使用脉冲功率负载及含能材料的可重复强电冲击波技术。     

基于变异系数的模糊物元模型评价阔叶十大功劳根不同提取部位的抗炎镇痛作用

为了筛选阔叶十大功劳根抗炎镇痛的有效部位，应用模糊物元模型对阔叶十大功劳根不同提取部位抗炎镇痛效果进行综合评价。采用醋酸扭体法、热水缩尾法及热板法，以小鼠足跖肿胀、耳廓肿胀程度考察阔叶十大功劳根不同提取部位的抗炎镇痛作用；用变异系数权重的模糊物元模型对其干预效果进行综合评价；通过计算贴近度比较模型组（M₁）、阳性对照组（M₂）、水提物组（M₃）、乙醇提取物组（M₄）、正丁醇提取物组（M₅）、乙酸乙酯提取物组（M₆）、石油醚提取物组（M₇）的抗炎镇痛效果。结果显示阔叶十大功劳根不同提取部位均有抗炎镇痛的效果，但各部位抗炎镇痛效果程度不同；反应不同部位抗炎镇痛总效应的贴近度值从大到小排序为M₆，M₄，M₃，M₅，M₂，M₇，M₁。基于变异系数权重的模糊物元模型可筛选出阔叶十大功劳根抗炎镇痛的最佳有效部位为乙酸乙酯提取部位，能够客观、科学地评价不同提取部位的抗炎镇痛效果。     

基于双响应曲面的精密产品子集模拟可靠稳健优化设计

针对不确定性场景下小失效概率的精密产品可靠性问题,提出了基于双响应曲面法(dual response surface methodology,DRSM)与子集模拟的可靠稳健优化方法。首先,建立精密产品多失效模式极限状态的RSM模型和以质量特性均值-方差为优化目标的功能函数DRSM模型。其次,在此基础上运用子集模拟法进行可靠性分析,将精密产品小失效概率描述成一系列较大的条件失效概率之积。最后,将极值事件的优化问题视作稀有事件的可靠性问题的特例,基于该转换思想采用子集模拟法将优化问题在可靠性问题的框架内进行求解。案例分析及验证结果表明所提方法的有效性。     

试析民族高校国际法课程群建设路径

民族高校法学专业担负着为边疆民族地区培养法律人才的重任,"一带一路"沿线的边疆民族地区对涉外法律人才的需求,是民族高校法学专业不容忽视的问题.国际法课程群建设关乎涉外法律人才的培养质量,力图突破国际法课程群建设瓶颈,从明确目标、优化体系、师资建设及评价指标四个方面,为民族高校国际法课程群建设提出可行建议.     

基于滑移/非滑移异质界面的动压润滑性能优化

合理布置的滑移/非滑移异质界面可以提高流体动压润滑性能,但目前滑移区和非滑移区的组合方式大多采用单一的直线拼接法,没有针对流体润滑摩擦副的各类工况设计出相应的优化方案,为此本文建立了一组离散式二次方程来描述滑移区和非滑移区拼接轨迹,并引入计算域单元的宽长比作为优化变量,分别以液膜刚度和摩擦因数作为优化目标,通过MATLAB数值仿真求解不同宽长比条件下滑移区和非滑移区的最优拼接轨迹。结果表明,与直线拼接法相比,选取二次方程所描述的抛物线作为滑移区和非滑移区拼接轨迹的方法使流体润滑摩擦副在摩擦因数和液膜刚度等性能指标上都有所改善,而且根据不同的优化目标参数可以方便地绘制出最优拼接方案,验证了本文方法在改善动压润滑性能上的可行性和普适性。     

沉寂的化学用字

人类通过化学加深了对物质世界的认识且创造了数量庞大的新物质。在把化学系统引进中国之时,化学工作者创用了一批化学新字。随着时代的变迁,一些化学新字也在发生改变。文章对新中国成立初期仍有使用但后来逐渐淡出的一些化学用字进行了分析,详细介绍了硅、苷、蛋白质等几个专业用词的形成过程,并对其他一些化学用字如酰、醣、肽、镥、锿、镄等的形成进行了简单介绍。     

On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra

Some techniques using linear algebra was introduced by Faugère in F4 to speed up the reduction process during Gr?bner basis computations.These techniques can also be used in fast implementations of F5 and some other signature-based Gr?bner basis algorithms.When these techniques are applied,a very important step is constructing matrices from critical pairs and existing polynomials by the Symbolic Preprocessing function(given in F4).Since multiplications of monomials and polynomials are involved in the Symbolic Preprocessing function,this step can be very costly when the number of involved polynomials/monomials is huge.In this paper,multiplications of monomials and polynomials for a Boolean polynomial ring are investigated and a specific method of implementing the Symbolic Preprocessing function over Boolean polynomial rings is reported.Many examples have been tested by using this method,and the experimental data shows that the new method is very efficient.     

Isogeometric Analysis-Based Topological Optimization for Heterogeneous Parametric Porous Structures

Porous structures widely exist in nature and artifacts, which can be exploited to reduce structural weight and material usage or improve damage tolerance and energy absorption. In this study,the authors develop an approach to design optimized porous structures with Triply Periodic Minimal Surfaces(TPMSs) in the framework of isogeometric analysis(IGA)-based topological optimization.In the developed method, by controlling the density distribution, the designed porous structures can achieve the opt...