Lacunary Measures and Self-similar Probability Measuresin Function Spaces

The paper deals with multifractal quantities for some types of Radon measures, especially self-similar probability measures, and their relations to Besov spaces.     

不同光滑度立方体氧化铁对液晶电光性能的改善

向列相液晶被广泛应用于液晶显示中,但是由于杂质的存在,会导致液晶的驱动电压变大,增加能耗。 为了降低阈值电压和饱和电压,通常向液晶中添加纳米颗粒来提高电光性能。 本文利用水热法制备了表面粗糙和光滑的两种立方体Fe₂O₃纳米颗粒,其形貌均匀,尺寸约550 nm。 将二者分别掺杂到向列相液晶E7中,结果表明,粗糙立方体Fe₂O₃/E7复合体系具有比光滑立方体Fe₂O₃/E7复合体系和向列相液晶E7更优的电光性能,且在掺杂质量分数为0.4%时,其电光性能达到最优,阈值电压和饱和电压分别降低9.9%和11.6%,对比度增大80%,响应时间降低至6.0 ms。 这归因于粗糙立方体Fe₂O₃具有足够的表面积和表面所带电荷更多,所以会更易吸附体系中的杂质离子和减弱杂质离子的屏蔽作用,从而提高了电光性能。     

Cu2O立方体的快速制备及模板法制备CuxS纳米笼子

首先以NaBH₄作为强还原剂在CuSO₄溶液中快速形成Cu₂O晶核, 然后以葡萄糖为温和的还原剂和保护剂, 由晶核生长成Cu₂O立方体, 并以其为模板制备中空的球状Cu_xS纳米笼子. 利用透射电子显微镜(TEM), 扫描电子显微镜(SEM), X射线衍射仪(XRD)和紫外-可见(UV-Vis)分光光度计对产物进行表征. 葡萄糖和铜盐的物质的量的比、加热状况、pH等反应条件影响Cu₂O的形貌. Cu_xS纳米笼子的外壳厚度由参与反应的Cu₂O和Na₂S的物质的量的比决定.     

在酸性条件下合成氧化亚铜纳米立方体(英)

在微酸性(pH：4～6)的水热体系中130 ℃反应18 h合成了氧化亚铜纳米粒子，粒径约为100 nm，呈立方体外形。乙二胺和十六烷基胺在反应体系中充当缓冲试剂，调节反应液的pH值并控制体系中游离Cu²⁺的浓度，使得Cu²⁺不会被迅速还原成单质铜。所合成的纳米立方体的能带宽度约为2.51 eV，比氧化亚铜体材料和氧化亚铜纳米线蓝移了0.51 eV和0.17 eV，它有利于把太阳光谱中能量高的可见光转化成其他形式的能量。     

羟丙基甲基纤维素作为水泥添加剂研究(四)

以萘磺酸甲醛缩合物为分散剂，水溶性羟丙基甲基纤维素衍生物为粘稠剂，研究了它们的混合物对混凝土材料的分散性与粘稠性及其它性能的影响，并探索了其作用机理。     

锥体棱镜的加工

本文简单地叙述了锥体棱镜两种加工工艺。重点介绍直接成型法加工中对角度误差~1″的控制。并提出了角度超差零件返修时的光胶方法。     

基于Box-Behnken法的合肥湖积软土固化配方优化的试验研究

选择CaO和纯碱作为激发剂掺入GGBS(粒化高炉矿渣微粉)制备GGBS+CaO+纯碱固化合肥湖积软土,通过无侧限抗压强度试验研究固化黏土的强度变化规律。以GGBS、CaO和纯碱的掺量作为影响因子,以7d和28d固化土的无侧限抗压强度作为响应值,基于Box-Behnken法确定3种外添剂的最佳配合比。研究表明:GGBS掺量的变化对强度响应影响最大,且其敏感程度随龄期的增大而增大;而对于CaO和纯碱,情况则相反。养护7d后,各因素对强度的线性效应和曲面效应均显著,CaO与纯碱的交互作用显著;养护28d后,GGBS与纯碱的交互作用显著。最终得出:GGBS、CaO和纯碱三掺量固化黏土最佳配比分别为13.08%、4.89%和1.25%;在最佳配合比下,7d和28d的预测强度分别达到550.904kPa和665.953kPa。最后对实测值与预测值进行了对比分析。研究成果可为在合肥滨湖地区应用矿渣类软土固化剂提供理论依据。     

Structure and Property Characterization of Oyster Shell Cementing Material

Oyster shell powder was used as the admixture of ordinary portland cement.The effects of different addition amounts and grinding ways on the strength and stability of cement mortar were discussed and proper addition amount of oyster shell powder was determined.The structure and property changes of cementing samples with different oyster shell powder contents were tested by XRD and SEM means.The results revealed that compressive and rupture strengths of the sample with 10% oyster shell powder was close to those of the original one without addition.Stability experiment showed that the sample prepared by pat method had smooth surface without crack and significant expansion or shrinkage after pre-curing and boiling,which indicated that cementing material dosed with oyster shell powder had fine stability.XRD and SEM observation showed that oyster shell independently exists in the cementing material.     

PATHS AND CYCLES EMBEDDING ON FAULTY ENHANCED HYPERCUBE NETWORKS

Let Qn,k(n≥3,1≤k≤n-1) be an n-dimensional enhanced hypercube which is an attractive variant of the hypercube and can be obtained by adding some complementary edges,fv and fe be the numbers of faulty vertices and faulty edges,respectively.In this paper,we give three main results.First,a fault-free path P [u,v] of length at least 2n-2fv-1(respectively,2n-2fv-2) can be embedded on Qn,k with fv+fe≤n-1 when d Qn,k(u,v) is odd(respectively,d Qn,k(u,v) is even).Secondly,an Qn,k is(n-2) edgefault-free hyper Hamiltonian-laceable when n(≥3) and k have the same parity.Lastly,a fault-free cycle of length at least 2n-2fv can be embedded on Qn,k with fe≤n-1 and fv+fe≤2n-4.     

交叉立方体网络的反馈数

对于简单图G=(V,E),顶点子集F■V,如果由V\F导出的子图G′= (V\F,E′)是不含圈的,则称F是图G的一个反馈点集.点数最少的反馈点集称图的最小反馈点集,最小的点数称为反馈数.文章给出了交叉立方体网络的一个等价定义,用递归的方法构造出交叉立方体网络的诱导树,证明了诱导树的阶数Fibonacci数,进而得到叉立方体网络反馈数的上下界.