Homogeneous variable exponent Besov and Triebel–Lizorkin spaces

We introduce homogeneous Besov and Triebel–Lizorkin spaces with variable indexes. We show that their study reduces to the study of inhomogeneous variable exponent spaces and homogeneous constant exponent spaces. Corollaries include trace space characterizations and Sobolev embeddings.     

基于视觉辐条图案识别方法的蓝宝石引晶机制研究

工业生产蓝宝石晶体过程中,引晶步骤有着至关重要的地位。引晶必须在温度梯度较小,温度分布趋于稳定的条件下进行。目前,工业生产蓝宝石主要依靠人工经验操控籽晶杆实现引晶操作,但是人工引晶操作的准确性不高会导致成品品质不佳、资源浪费。为此,本文提出一种基于蓝宝石视觉辐条图案识别方法来检测蓝宝石熔体状态自由液面状态,从而实现一种高效率引晶的机制。此方法利用经典骨架化算法细化辐条图案,Harris算子实现特征信息的提取,提取的特征信息放入运动轨迹模型中判断熔体稳定性,分析液面温度分布稳定性从而实现引晶。结果表明,此算法具有有效性,蓝宝石晶体引晶效率大大提高,生产出的成品良率也有提升,可有效指导蓝宝石的工业生产。     

多元统计分析中一类矩阵迹函数最小化问题的有效算法

研究来源于多元统计分析中的一类矩阵迹函数最小化问题$\min c+ tr(AX)+\sum\limits_{j=1}^{m}tr(B_j X C_jX^{T}),\ \ {\rm s. t.} \ X^TX=I_p,$其中$c$为常数, $A\in R^{p\times n}\ (n\geq p)$, $B_j\in R^{n\times n}, C_j\in R^{p\times p}$为给定系数矩阵. 数值实验表明已有的Majorization算法虽可行, 但收敛速度缓慢且精度不高. 本文从黎曼流形的角度重新研究该问题, 基于Stiefel流形的几何性质, 构造一类黎曼非单调共轭梯度迭代求解算法, 并给出算法收敛性分析.数值实验和数值比较验证所提出的算法对于问题模型是高效可行的.     

毛冬青总皂苷对大鼠脑缺血再灌注损伤的保护作用及血液微量元素影响

目的研究毛冬青总皂苷对脑缺血再灌注损伤的保护作用,并初步探讨其血液微量元素的影响。方法动物随机分为假手术组、模型组、毛冬青总皂苷(高、中、低)剂量组及阳性药物对照组,运用大鼠大脑中动脉栓塞,制作脑缺血再灌注损伤模型,缺血10 min后,给药组及阳性药物组于舌下静脉给予高、中、低剂量的毛冬青总皂苷及假手术组、模型组给予等体积的溶剂。缺血60 min再灌注24 h后,每组取8只大鼠断头取脑,TTC染色,测定脑梗死体积;取血,测定血液中3种微量元素Ca、Zn、Cu的含量。结果毛冬青总皂苷组与模型组相比,毛冬青总皂苷治疗组脑梗死体积减小,病理变化较轻;模型组与假手术组比较血液中Ca、Cu含量增加明显有统计学意义,Zn含量明显降低与假手术组比较有统计学意义(P0.05),毛冬青高、中、低剂量组与模型组比较Ca、Cu含量明显降低,Zn含量明显升高,而且呈明显的量效关系,与模型组比较有统计学意义(P0.05)。结论毛冬青总皂苷对脑缺血再灌注损伤具有一定的保护作用,其保护机制与毛冬青总皂苷抗氧化作用及增强氧自由基的清除有关。     

微氧化烧结制备掺杂Y2O3的SiC陶瓷及含镉模拟废水处理

采用了微氧化烧结制备了不同Y₂O₃质量分数（0%、2%、4%、6%）的多孔SiC陶瓷，通过对陶瓷的晶体结构、微观形貌、物理性能和Cd²⁺的去除率测试发现：添加了Y₂O₃的SiC陶瓷出现了较多的第二相Y₂SiO₇、Y₅Si₃C_0.5，随着Y₂O₃的质量分数增加逐渐升高，主相的衍射峰的强度有降低。扫描电子显微镜测试发现，SiC陶瓷的尺寸在2.5 μm，Y₂O₃引入后，SiC陶瓷的晶粒尺寸降低，高温烧结时液相的含量增加，熔体粘度降低，晶粒结合更加紧密，Y₂O₃的引入提高了多孔陶瓷的体积密度，Y₂O₃质量分数为6%SiC的体积密度最大为2.21 g/cm³。热导率随着Y₂O₃质量分数的增加呈现出先升高后降低的趋势。金属Cd²⁺的过滤测试表明：随着Y₂O₃质量分数增加，Cd²⁺的残留质量浓度、膜通量和去除率先降低后升高，当掺杂质量分数为4%时，Cd²⁺残留质量浓度最低为0.042 mg/L，膜通量达到了最大值572 L/（m²·h），去除率最大为99.95%，相比未掺质量分数杂体系的去除率提高了0.14%。随着溶液pH值的逐渐增大，金属Cd²⁺的残留质量浓度逐渐降低、去除率逐渐升高，pH≥9时最终均趋于稳定。综合来看，多孔SiC陶瓷的助烧剂Y₂O₃最佳掺量为4%。     

Elimination of bis(trimethylsilyl)stannylene from tris(trimethylsilyl)stannylated zirconocene and hafnocene chlorides

Reactions of (Me₃Si)₃SnK with Cp₂MCl₂ (M = Zr, Hf) give the respective stannylated metallocene chlorides. These complexes display a tendency to eliminate bis(trimethylsilyl)-stannylene under Cp₂M(Cl)SiMe₃ formation.     

1200 V碳化硅功率MOSFET低温特性的实验表征及分析

碳化硅功率MOSFET是宽禁带功率半导体器件的典型代表,具有优异的电气性能。基于低温环境下的应用需求,研究了1200 V碳化硅功率MOSFET在77.7 K至300 K温区的静/动态特性,定性分析了温度对碳化硅功率MOSFET性能的影响。实验结果显示,温度从300 K降低至77.7 K时,阈值电压上升177.24%,漏-源极击穿电压降低32.99%,栅极泄漏电流降低82.51%,导通电阻升高1142.28%,零栅压漏电流降低89.84%(300 K至125 K)。双脉冲测试显示,开通时间增大8.59%,关断时间降低16.86%,开关损耗增加48%。分析发现,碳化硅功率MOSFET较高的界面态密度和较差的沟道迁移率,是导致其在低温下性能劣化的主要原因。     

Explicit H1-Estimate for the Solution of the Lamé System with Mixed Boundary Conditions

In this paper we consider the Lamé system on a polygonal convex domain with mixed boundary conditions of Dirichlet-Neumann type. An explicit L² norm estimate for the gradient of the solution of this problem is established. This leads to an explicit bound of the H¹ norm of this solution. Note that the obtained upper-bound is not optimal.     

Effects of hydroxyl groups and hydrogen passivation on the structure,electrical and optical properties of silicon carbide nanowires

The effects of hydrogen and hydroxyl passivation on the structure, electrical and optical properties of SiCNWs were investigated. The passivation performance of different atoms (groups) were discussed by analyzing the distribution of electronic states and the polarity of chemical bonds. The results show that passivation can improve the stability of SiCNWs structure, and the effect of hydroxyl is better than hydrogen passivation. And hydrogen and hydroxyl passivation both increase the band gap of SiCNWs, and the changing trend of band gap is relevant to the polarity of the covalent bond formed by the passivation of surface atoms. Moreover, passivation enhances the stability of the optical properties of SiCNWs, resulting in narrowing of light absorption, photoconductivity and other spectra, and the response peak shifts to the deep ultraviolet region, which means that hydrogen or hydroxyl passivation of SiCNWs is likely to be a candidate material for deep ultraviolet micro-nano optoelectronic devices.     

Predicting and researching adsorption configurations of pyridazine on Si(100) surface by means of X-ray spectroscopies in theory

The landscape of organic molecule on Si(100) surface has a great significance for organic functionalisation of Si semiconductor. Several possible adsorption configurations for pyridazine on Si(100) surface have been forecasted by systemic comparison and investigation. The C1s XPS and NEXAFS spectra of these adsorption systems based on density functional theory and full core-hole potential approximation have been calculated. Although the sensibility of XPS to these adsorption configurations is not very strong, these configurations can be absolutely distinguished by NEXAFS spectra, which will bring tremendous reference to the future experimental study. Mode II, III, V and VI have a significantly higher adsorption energy, which are most likely to be present in experiment. In addition, we have made the research on specific sources of the peaks in spectra by analysing their decomposed NEXAFS spectra, the results show that the Carbon atoms which do not bond to surface atoms, make the most contribute to the intensity of characteristic peaks in spectra.