Strong law of large numbers for Markov chains indexed by an infinite tree with uniformly bounded degree

In this paper,we study the strong law of large numbers and Shannon-McMillan (S-M) theorem for Markov chains indexed by an infinite tree with uniformly bounded degree.The results generalize the analogous results on a homogeneous tree.     

Size and support effects for CO oxidation on supported Pd catalysts

Science China Chemistry - Supporting Pd catalysts characterized significant different size distribution were obtained using PdCl2, [Pd(NH3)4](NO3)2 and Pd(acac)2 as precursors. High-resolution...     

定量核磁共振波谱法同时测定中药虎杖中白藜芦醇和虎杖苷的含量

建立了定量核磁共振波谱法同时测定虎杖中白藜芦醇和虎杖苷的方法。样品用80%乙醇和丙酮两次超声提取净化,再用定量核磁共振波谱法测定。考察了样品预处理和核磁共振实验条件对测定结果的影响,选择氘代二甲亚砜-重水(10∶1,V/V)为溶剂,用基准物质邻苯二甲酸氢钾标定的2,3,5-三碘苯甲酸为内标,选择脉冲延迟时间为5 s,采样次数为32次。定量峰为6.388~6.391(白藜芦醇:H-2,6,d,2H)和6.322~6.330(虎杖苷:H-4,t,1H)。结果表明,NMR测定的精密度均小于0.6%,线性相关系数(r)均大于0.999,白藜芦醇和虎杖苷的检出限分别为0.23和0.24 g/L,定量限分别为0.69和1.57 g/L,包括样品提取过程的回收率分别为97.7%~103.5%(RSD=2.4%)和94.5%~99.2%(RSD=1.6%),显示出定量核磁共振法在中药定量时的可靠性。实际测定4种虎杖饮片及配方颗粒样品中白藜芦醇和虎杖苷含量分别为3.57~5.69 mg/g和12.73~24.07 mg/g。     

涉及正规族与分担值的Hayman 问题

设n, k (n ≥ k + 3) 是两个正整数, a (≠0), b 是两个有穷复数, F 是区域D 内的一族亚纯函数,其中族中每个函数的零点都至少是k 重. 若对于F 中的任意两个函数f, g, f^(k)-afⁿ 与g^(k)-agⁿ 在D 内分担b, 则F 在D 内正规. 两个例子说明函数族中的每个函数的零点都至少是k 重以及n ≥ k+3是最佳的.     

预处理条件对La_2O_3上过氧物种光诱导生成的影响

采用原位显微Raman光谱技术详细考察了焙烧温度和焙烧时间对La(OH)3分解制备的La2O3结构以及过氧物种光诱导生成性能的影响,结果表明,经700℃焙烧所得La2O3样品较经800℃以上长时间焙烧的样品更有利于过氧物种的生成.对La(OH)3热分解过程的原位XRD测试结果表明,焙烧温度需达到近700℃才可使La(OH)3完全转化为La2O3.在700℃焙烧的样品上,除了六方相的La2O3外,还可检出介稳态的立方相La2O3.经800℃以上长时间(≥5 h)焙烧后,介稳态的立方相La2O3将转化为稳定的六方相La2O3物种.在相同的实验条件下,立方相的稀土倍半氧化物较六方相更有利于过氧物种的光诱导生成,其原因可能源于前者含更多氧空位,因而更有利于对分子氧的吸附和活化.     

Stochastic calculus with respect to <Emphasis Type="Italic">G</Emphasis>-Brownian motion viewed through rough paths

We study rough path properties of stochastic integrals of Itô’s type and Stratonovich’s type with respect to G-Brownian motion. The roughness of G-Brownian motion is estimated and then the pathwise Norris lemma in G-framework is obtained.     

室温钠离子储能电池电极材料结构研究进展

随着风能和太阳能等新能源的大规模发展及未来智能电网的实现,大规模储能系统显得越来越重要.室温钠离子电池以较低的成本再次引起了研究者的兴趣,并成为一种有前途、低成本的储能体系.目前,已提出多种材料可作为钠离子电池的电极材料.一般而言,材料的性质主要由材料的晶体结构决定,本文主要介绍目前提出的多种可行室温钠离子电池电极材料的晶体结构,希望通过总结已有电极材料的晶体结构,对新材料的设计提供指导.     

Silver nanoparticle labeled immunoresonance scattering spectral assay for trace fibrinogen

Silver nanoparticles in size of 8.0 nm was prepared by the trisodium citrate and used to label goat anti-human fibrinogen. In the pH 5.8 Na2HPO4-NaH2O4 buffer solution (PBS) and in the presence of polyethylene glycol (PEG) and KCl, the immune reaction between silver-labeled goat anti-human fibrinogen and fibrinogen took place and led the resonance scattering intensity at 465 nm (I465) to decreasing. The I465 decreased intensity was linear to the fibrinogen concentration in the range from 0.067 to 1.67 μg/mL, with a detection limit of 0.024 μg/mL. This method was applied to determination of fibrinogen in human plasma, with satisfactory results.     

A higher order lattice BGK model for simulating some nonlinear partial differential equations

In this paper, we consider a one-dimensional nonlinear partial differential equation that has the form ut + αuux + βunux - γuxx + δuxxx = F(u). A higher order lattice Bhatnager-Gross-Krook (BGK) model with an amending-function is proposed. With the Chapman-Enskog expansion, different kinds of nonlinear partial differential equations are recovered correctly from the continuous Boltzmann equation. The numerical results show that this method is very effective.     

稠密气固两相湍流流动的实验和数值模拟

基于气固两相流动模型计算循环流化床内稠密气固两相流湍流动,颗粒动理学方法模拟颗粒相湍动能,ＳＧＳ模型模拟气相湍流,采用γ－射线密度计和非等速取样管测量局部颗粒浓度和流率,利用ＦＦＴ方法计算颗粒浓度功率谱密度。模拟计算得到上升管内气相和固相速度和浓度分布等。同时数值模拟与Ｔｓｕｊｉ等和Ｋｎｏｗｌｔｏｎ等试验结果进行了比较,结果表明数值模拟计算与实验结果相吻合。