时滞反应扩散方程组周期解的存在性

利用上、下解方法及不动点理论研究了一类反应项非单调的时滞反应扩散方程组,构造了非单调反应项的上、下控制函数,并证明了所构造的函数满足Lipschitz条件及单调性,克服了反应项非单调无法利用单调迭代方法的局限性,为讨论反应项非单调的微分方程提供了一种有效方法,并获得了此系统边值问题周期解存在性的充分条件,推广了已有的一些结果.     

综放工作面顶煤承载能力和支架工作阻力的探讨

支架工作阻力计算是综放开采研究的主要问题之一.在对顶煤力学性质进行了实验室试验的基础上,总结出顶煤破坏时的强度满足主应力表示的莫尔-库仑强度准则.根据综放工作面顶煤体的受力特点,运用损伤力学应变等效原理,建立了综放工作面控顶距内顶煤体受力力学模型.从顶煤体承载能力的角度,研究综放面支架-顶煤体之间相互作用关系,推出了支架工作阻力的理论计算公式.该模型较好地解释了综放工作面支架工作阻力随顶煤强度的提高而增加的矿山压力显现.研究结论对综放面支架工作阻力计算具有一定的理论指导意义.     

基于SVM的置信度综合方法在语音识别中的应用

讨论了语音识别中使用支持向量机(support vector machines,SVM)对音子级置信度进行综合的方法. 音子级置信度得分采用传统的方法计算而得,并使用SVM对音子级置信度进行综合得到词级的置信度得分. 在说话人无关的汉语孤立词识别实验中,使用作者方法比使用传统方法获得的系统等错误率rEER(equal error rates,EER)有明显降低,可以从基线系统的28.14%降低到23.71%,而系统的复杂度仅有小幅度的上升.     

基于网络的模型库结构表示方法研究

针对现有方法存在的不能表示复杂模型关系以及模型组合与求解自动化程度低的局限性,在对模型库结构表示方式进行比较的基础上,从而进一步分析并提出了数据类型广义匹配的概念,将其应用于模型连接的表示,给出了模型库的网络结构表示的定义及其构造方法。分析了模型组合及模型库必须考虑的元素,并用网络结构表示模型库中元素间的静态连接结构;给出了模型库网络结构的形式化定义,模型间的连接通过引入类型转换实现。从而简化模型之间连接,使模型的连接判断由类型匹配判断转化为模型与转换和转换与模型之间的类型相等性判别,而类型匹配操作则通过转换自动完成。并且在组合模型求解过程中,转换过程也会自动完成,提高了模型组合与求解的自动化。     

基于RS与LS-SVR的储层参数预测

该文提出结合粗糙集(RS)和最小二乘支持向量回归(LS-SVR)的方法.该方法利用RS对原始数据进行约简,更好地减少了支持向量的维数;同时采用LS-SVR解决了常规SVM计算速度慢、抗噪能力差的缺点.实例证明该方法应用在复杂地层储层参数预测中具有优越性.     

Numerical Experiments and Structural Transformation of NonLinear Evolution in Illposed Systems

Numerical experiments on nonlinear equations of the 1st and 3rdorder derivatives have been carried out through structural analyses in the phase space according to the numerical instability of illposed systems, with changes of initial values and parameters, etc.. The results show that the quantitative instability in an illposed system may reveal reversed transformation in system evolution by structural representation, and confirm A·Dauglas’ theorem that “a nonlinear equation does not satisfy the existence of the initial value in a linear wellposed system”.     

样本属性重要度的支持向量机方法

支持向量机(SVM)是一种新的机器学习方法,已经广泛应用于模式识别和函数估计等问题中.针对现有的加权支持向量机(WSVM)和模糊支持向量机(FSVM)只考虑样本重要性而没有考虑属性重要性对分类结果的影响的缺陷,提出了基于样本属性重要度的支持向量机方法,该方法首先利用信息论中的信息增益技术计算各个样本特征属性对分类属性的重要度,然后对所有样本的同一特征属性的值分别用对应的属性重要度进行加权,最后所得数据集用于训练和测试SVM.数值实验的结果表明,该方法提高了分类器的分类精度.     

Comprehensive Characterization of the Self-Folding Cavitand Dynamics

The conformational equilibria and guest exchange process of a resorcin[4]arene derived self-folding cavitand receptor have been characterized in detail by molecular dynamics simulations (MD) and ¹H EXSY NMR experiments. A multi-timescale strategy for exploring the fluxional behaviour of this system has been constructed, exploiting conventional MD and accelerated MD (aMD) techniques. The use of aMD allows the reconstruction of the folding/unfolding process of the receptor by sampling high-energy barrier processes unattainable by conventional MD simulations. We obtained MD trajectories sampling events occurring at different timescales from ns to s: 1) rearrangement of the directional hydrogen bond seam stabilizing the receptor, 2) folding/unfolding of the structure transiting partially open intermediates, and 3) guest departure from different folding stages. Most remarkably, reweighing of the biased aMD simulations provided kinetic barriers that are in very good agreement with those determined experimentally by ¹H NMR. These results constitute the first comprehensive characterization of the complex dynamic features of cavitand receptors. Our approach emerges as a valuable rational design tool for synthetic host-guest systems     

Water Formation in Non-Hydrolytic Sol–Gel Routes: Selective Synthesis of Tetragonal and Monoclinic Mesoporous Zirconia as a Case Study

Several non-hydrolytic sol–gel syntheses involving different precursors, oxygen donors, and conditions have been screened aiming to selectively produce mesoporous t-ZrO₂ or m-ZrO₂ with significant specific surface areas. The in situ water formation was systematically investigated by Karl Fisher titration of the syneresis liquids. XRD and nitrogen physisorption were employed to characterize the structure and texture of the ZrO₂ samples. Significant amounts of water were found in several cases, notably in the reactions of Zr(OnPr)₄ with ketones (acetone, 2-pentanone, acetophenone), and of ZrCl₄ with alcohols (benzyl alcohol, ethanol) or acetone. Conversely, the reactions of Zr(OnPr)₄ with acetic anhydride or benzyl alcohol at moderate temperature (200 °C) and of ZrCl₄ with diisopropyl ether appear strictly non-hydrolytic. Although reaction time and reaction temperature were also important parameters, the presence of water played a crucial role on the structure of the final zirconia: t-ZrO₂ is favored in strictly non-hydrolytic routes, while m-ZrO₂ is favored in the presence of significant amounts of water. ¹H and ¹³C NMR analysis of the syneresis liquids allowed us to identify the main reactions responsible for the formation of water and of the oxide network. The morphology of the most interesting ZrO₂ samples was further investigated by electron microscopy (SEM, TEM).     

Non-integrability vs. integrability in pentagram maps

We revisit recent results on integrable cases for higher-dimensional generalizations of the 2D pentagram map: short-diagonal, dented, deep-dented, and corrugated versions, and define a universal class of pentagram maps, which are proved to possess projective duality. We show that in many cases the pentagram map cannot be included into integrable flows as a time-one map, and discuss how the corresponding notion of discrete integrability can be extended to include jumps between invariant tori. We also present a numerical evidence that certain generalizations of the integrable 2D pentagram map are non-integrable and present a conjecture for a necessary condition of their discrete integrability.