A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation

Based on the Lenard recursion relation and the zero-curvature equation, we derive a hierarchy of long wave-short wave type equations associated with the 3 × 3 matrix spectral problem with three potentials. Resorting to the characteristic polynomial of the Lax matrix, a trigonal curve is defined, on which the Baker-Akhiezer function and two meromorphic functions are introduced. Analyzing some properties of the meromorphic functions, including asymptotic expansions at infinite points, we obtain the essential singularities and divisor of the Baker-Akhiezer function. Utilizing the theory of algebraic curves, quasi-periodic solutions for the entire hierarchy are finally derived in terms of the Riemann theta function.     

膨胀腔类超材料的传递损失研究*

声学超材料及结构已被广泛研究,其超结构通常利用3D打印技术实现,当结构刚度较小或者面积较大时,由声固耦合所导致的声学效果与设计不符的情况广泛存在。本文针对含有膨胀腔类的超材料,研究了声固耦合对其声学性能的影响,采用有限元计算结合阻抗管实验的方法,得到其传递损失,分析了声固耦合现象对传递损失的影响。结果表明：薄壁膨胀腔结构的作用频率范围与只考虑声学理论计算的设计不符,声固耦合现象对传递损失产生显著影响;采用增加膨胀腔壁厚、减少膨胀腔内径或选择金属材料的方式,都可以使得声固耦合现象对传递损失的影响减小;仿真结果与实验结果基本吻合。该研究结果说明：对于膨胀腔类超材料,当刚度较小或者面积较大时,对其进行声固耦合分析是完全必要的。     

Identification of lactobacillus casei-BDI and Streptococcus thermophilus by fluorescence spectra

Fluorescence analysis applied in the study of lactic acid bacteria （LAB） provides a new method and theory to study probiotics and realize the detection and identification of the strains. It is also possible to achieve automation and computerization. In this letter, the differences between the fluorescence spectra of lactobacilIus casei-BDI （Lc-BDI） and Streptococcus thermophilus （St） are shown, and the second-order derivative spectra are used to further study the diversity of these two strains. According to the results, with the excitation wavelengths of 285 and 340 nm, there are significant differences between them. The experiment is repeated for 6 times, showing good repetitiveness.     

Measurement of the KLL Dielectronic Recombination Resonances in He-like to C-like Kr Ions

The KLL dielectronic recombination processes of highly charged He-like to C-like Kr ions have been studied experimentally. The measurement was performed on the newly developed Shanghai electron beam ion trap （Shanghai-EBIT） facility. Characteristic x-rays from both dielectronic recombination and radiative recombination are detected as the electron beam energy is scanned through the resonances. The KLL resonant strengths obtained are 5.41×10^-19, 4.33×10^-19, 3.59×10^-19, 2.05×10^-19 and 0.98×10^-19 cm^2 eV for He-like to C-like Kr ions, respectively.     

自由落体和抛体偏离的另一种解法

给出一种落体偏离问题的简洁解法,同时还解决了上抛物体的偏离问题。     

金纳米修饰毛细管电泳分离氨基苯甲酸

报道了一种金纳米修饰毛细管电泳分离、测定氨基苯甲酸的新方法。采用制备的金纳米进行了石英毛细管修饰。探讨了修饰金纳米浓度、修饰时间以及缓冲溶液加入一定浓度的金纳米对三种氨基苯甲酸分离和测定的影响,优化了分离电压、酸度以及缓冲溶液浓度等实验条件。结果表明金纳米的存在,显著的改进了氨基苯甲酸分离的选择性,增强了分离效率。在优化的实验条件下,进行了邻、间、对三种氨基苯甲酸的分离和测定。线性浓度范围为0.5–40 µg·mL,相关系数0.9978-0.9992。检测限(S/N = 3) 为0.1-0.5µg·mL。     

水体中壬基酚光降解机理研究

在模拟太阳光条件下, 通过测定光解过程中壬基酚(NP)残留率和中间产物, 考察了溶解氧(DO), H₂O₂, NO₃^-及Cl^-对水体中NP光解的影响, 并推测了降解途径. 结果表明: DO浓度越低NP降解越慢, 产物有4-壬基-邻苯二酚、壬醇、壬醛和壬酸, 其中以壬酸为主, 推测NP在 O₂^·-作用下, 生成邻酚, 再发生共轭加成. H₂O₂, NO₃^-的添加显著加快NP降解速率, 产物有碳链缩短(2～8碳)的酚、4-壬基-邻苯二酚、壬醇、壬醛、壬酸, 其中以壬醛为主, H₂O₂, NO₃^-在光照下生成·OH, ·OH进攻NP电子云较集中的位置, NO₃^-吸收光同时产生·NO₂, 检测到2-硝基-4-壬基酚. 在H₂O₂存在下, Cl^-的添加对NP降解先促进后抑制, 并检测到壬酰氯, 推测·OH与Cl^-共存, 形成Cl₂^-参与反应, 氯代产物的前驱体可能是壬醛.     

Preparation of ternary Cr2O3–SiC–TiO2 composites for the photocatalytic production of hydrogen

Novel ternary Cr₂O₃–SiC–TiO₂ composites were synthesized by implanting Cr³⁺ into SiC–TiO₂ via sol–gel and impregnation approaches. The results from X-ray diffraction, scanning electron microscopy and transmission electron microscopy show that the Cr³⁺ species were doped onto the surface of the SiC–TiO₂ carrier. The diffuse reflectance ultraviolet–visible absorption spectra revealed that the absorption edges of the ternary Cr₂O₃–SiC–TiO₂ composites were gradually shifted red with increasing chromium content. The luminescence intensities of the composites decreased with increasing doped Cr³⁺ content due to the reduction in the number of recombination sites of electron–hole pairs. The ternary Cr₂O₃–SiC–TiO₂ composites showed high hydrogen-producing activities, which probably results from the formation of donor levels of the Cr³⁺ species in the forbidden band of the SiC semiconductor.     

并行MapReduce PLS算法及其在光谱分析中的应用

偏最小二乘(PLS)算法是常用的光谱建模算法,然而对于海量光谱处理情形,在单台计算机上建模及优化时间开销很大。基于MapReduce编程模式,提出了并行MapReduce PLS回归算法,包括并行数据标准化和并行主成分提取两个过程。在多台普通计算机上搭建Hadoop云计算集群平台,以近红外光谱处理为例,开展了算法验证实验。实验结果表明,基于MapReduce编程模式的并行PLS算法对海量近红外光谱数据集进行回归建模时,能有效提高建模速度,随计算机台数的增多可得到接近线性的加速比,并具有良好的扩展性。