实Banach空间中点到有限余维子空间的距离问题

讨论了点到有限余维子空间或者仿射集的最短距离问题.应用对偶化方法,得到了点到满足一定条件的有限余维子空间(或者仿射集)的距离公式,以及此时最佳逼近元的计算式,并给出了它们在某些具体的最优控制问题上的应用.     

Optimizing the optical field distribution of near-field SIL optical storage system using five-zone binary phase filters

Five-zone binary phase filters (FBPFs) are proposed for decreasing the spot size and/or increasing the focal depth of the near-field optical storage system with a hemisphere solid immersion lens (SIL). The design of filters is based on the vector diffraction theory and the MATLAB optimizing toolbox. Three FBPFs with rotationally symmetrical pupil function have been designed, where the one FBPF is for increasing the focal depth as big as possible, the second FBPF is for improving the resolution as high as possible, and the third FBPF integrate the increase of focal depth with the improvement of resolution. Numerical results show that compared with the three-zone amplitude filter, the designed five-zone binary phase-only filters have more prominent performances in improving the focal depth and the resolution of the near-field SIL optical storage system.     

Differential Harnack inequalities for heat equations with potentials under the Bernhard List’s flow

In the paper we prove some differential Harnack inequalities for positive solutions of heat equations with potentials when the metric is evolving by the Bernhard List??s flow. We also give some applications of these inequalities.     

Combining Taguchi with fuzzy method on extended optimal design of miniature zoom optics with liquid lens

In this paper, the Taguchi method combined with fuzzy approach was applied to find the extended optimization for a multi-objective design of a miniature 2.5× zoom fold optics with liquid elements. Relative illuminance (RI) and modulation transfer function (MTF) were considered to be optimized. The experiments were simulated and the results were evaluated by the optical software tool CODE V. It was concluded that the method used in this research was successful in optimizing the values. In our proposed method, the appropriate weight of MTF and RI for the inputs of fuzzy controllers increased the MTF by 9.92%, but the RI only reduced by 0.19% in systematic wide-angle end, respectively.     

利用显微拉曼光谱技术鉴别印文形成时间的应用研究

采用激光显微拉曼光谱技术,选择10种不同品牌和型号的印泥(油)盖印印文的历时性样本,利用印文拉曼光谱中的1089 cm~(-1)和1235 cm~(-1)处特征峰的相对面积值(I)分析纸张、温度、热老化因素对印文形成时间的影响,探讨盖印时间与峰面积相对值(I)的关系。结果表明,I值随时间呈现规律性变化,尤其在近期内盖印印文的变化规律明显,适用于印文形成时间的鉴别,是一种准确、无损的检验方法。     

Immobilization of AIEgens into metal‐organic frameworks: Ligand design,emission behavior,and applications

Aggregation‐induced emission (AIE), in which the luminophores are highly emissive in aggregate state, is one of the most unique photophysical phenomena and has shown interesting applications in many areas. The immobilization of AIE luminogens (AIEgens) into metal‐organic frameworks (MOFs), which are inorganic‐organic hybrid porous materials with tunable and predictable structures, has been investigated over the past few years. These well‐defined porous frameworks cannot only provide an ideal platform for studying the mechanism of AIE phenomenon in solid state, but also show potential applications from sensing to white light‐emitting diodes. In this highlight, we will summarize the recent progress of AIEgens‐based MOFs, including ligand design, emission behavior, and applications. © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2017 , 55, 1809–1817     

Physical gelation and macromolecular mobility of sustainable polylactide during isothermal crystallization

The mobility of free macromolecular chains is of importance to the growth of crystallites in a crystallizing sustainable polylactide (PLA), which was scarcely explored by rheology. In this study, the time‐resolved rheological properties for PLA during isothermal crystallization were investigated first, showing that the storage and loss modulus experience 2–3 decades of increase. The Avrami analysis reveals that the crystallization kinetics in rheological measurement protocol follows the homogeneous nucleation and three‐dimensional growth mechanism. The linear viscoelastic properties in the vicinity of physical gelation point were then studied at the inverse quenching temperature of 165 °C. The results show that physical gelation occurs when the critical absolute crystallinity reaches 13% as determined by the rheological method. Relaxation time spectra reveal that the interfacial relaxation is greatly retarded but the presence of growing spherulites possesses little constraint on the mobility of free chains in matrix especially before physical gelation point. © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2017 , 55, 1235–1244     

Synthesis,characterization, and phase transition of an inorganic-organic hybrid compound,[(3-nitroanilinium+) (18-crown-6)] [IO4-](CH3OH)

A novel inorganic-organic hybrid supramolecular compound,[(3-nitroanilinium~+)(18-crown-6)][IO_4](CH_3OH)(1),was discovered as phase-transition materials displaying dielectric anomalous behaviors.The yellow block crystal formed by N-H…O hydrogen bonding that made contact through the cavity of 18-crown-6 was characterized by single-crystal X-ray diffraction,elemental analysis,infrared analysis,thermogravimetric analysis,differential scanning calorimetry,and potential-energy calculations.Differential scanning calorimetry measurements indicate that the compound experiences a reversible phase transition at around 220 K.Temperature-dependent dielectric measurements further confirm the phase transitions.Potential-energy calculations demonstrate that the phase transition occurs due to the molecular order-disorder rotation of CH_3OH,whereas the space grouping of the crystal remains unchanged.     

N-heterocyclic carbene-mediated formal [3+3] annulation of isatin-derived α, β-unsaturated acids: Access to functionalized 3,4′-spirooxindole δ-lactones

An in situ activation of isatin-derived α,β-unsaturated acids 2 for the generation of isatin-derived α,β-unsaturated acyl azoliums II was described. The acyl azoliums II were successfully applied to undergo a formal [3 + 3] annulation with 1,3-dicarbonyl compounds to access functionalized 3,4′-spirooxindole δ-lactones 4. A scale-up synthesis and an enantioselective variant of this protocol were also investigated. The stable and easily prepared acids 2 may be further utilized as promising versatile electrophilic 1,3-synthons for divergent synthesis of spirooxindoles.