Systems of equilibrium problems with applications to new variants of Ekeland’s variational principle,fixed point theorems and parametric optimization problems

In this paper, we first establish some existence theorems of systems of generalized vector equilibrium problems. From these results, we obtain new variants of Ekeland’s variational principle in a Hausdorff t.v.s., a minimax theorem and minimization theorems. Some applications to the existence theorem of systems of semi-infinite problem, a variant of flower petal theorem and a generalization of Schauder’s fixed point theorem are also given.     

人造玫瑰花花瓣的微结构分布与水滴黏附性质的关系

本文采用模板印刷法制备得到了“人造玫瑰花花瓣”,即具有玫瑰花花瓣结构的PDMS薄膜,通过对该薄膜逐级拉伸改变微观结构的分布;采用环境扫描电镜（ESEM）观察了不同拉伸程度下薄膜表面微观结构的变化,采用高敏感性微电力学天平测试了样品表面微观结构变化过程中水滴的粘附力,分析了微观结构分布与水滴粘附性质的关系;采用接触角测量仪表征不同拉伸条件下薄膜的浸润性.实验结果表明随着PDMS薄膜被逐次拉伸,单位面积内玫瑰花花瓣乳突的数目减少,纳米褶皱面积不断增加,而纳米级褶皱结构尺寸随着拉伸基本上不发生变化,直到样品破坏;与微观结构变化相对应的,该表面对水滴的粘附力先增大后减小,直到该表面彻底破坏.由此可见,微米结构及纳米结构的分布是影响玫瑰花花瓣对水滴粘附的主要因素.     

基于均匀设计优化深山草莓花瓣离体培养及植株再生体系

应用均匀设计法对深山草莓花瓣诱导愈伤组织和愈伤组织再分化芽苗的主要因子和水平进行了探讨.结果表明,深山草莓花瓣愈伤组织诱导的适宜培养基为LS+TDZ 2.06 mg.L-1+2,4-D 0.60 mg.L-1,诱导率为98%;愈伤组织再分化芽苗的适宜培养基为1/2 LS+TDZ 2.30 mg.L-1+NAA 0.10 mg.L-1+KT1.30 mg.L-1,分化率为96.3%.炼苗移栽后观察植株的形态、花、果及生长等特征,以筛选具有优良性状的株系.     

Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces

In this paper, we introduce the concept of τ-function which generalizes the concept of w-distance studied in the literature. We establish a generalized Ekeland's variational principle in the setting of lower semicontinuous from above and τ-functions. As applications of our Ekeland's variational principle, we derive generalized Caristi's (common) fixed point theorems, a generalized Takahashi's nonconvex minimization theorem, a nonconvex minimax theorem, a nonconvex equilibrium theorem and a generalized flower petal theorem for lower semicontinuous from above functions or lower semicontinuous functions in the complete metric spaces. We also prove that these theorems also imply our Ekeland's variational principle.     

Di-functional magnetic nanoflowers: A highly efficient support for immobilizing penicillin G acylase

The novel di-functional magnetic nanoflowers (DMNF) which had both epoxy groups and hydrophilic catechol as well as phthaloquinone groups capable of covalently coupling of penicillin G acylase (PGA) were characterized by scanning electron microscopy, transmission electron microscope (TEM), vibrating sample magnetometer, N₂ adsorption, and so on. The studies showed that DMNF possessed “hierarchical petal” structure of nanosheets had specific saturation magnetization of 39.7 emu/g and average pore diameter of 25.4 nm as well as specific surface area of 17.28 m²/g. For hydrolysis of penicillin G potassium catalyzed by the PGA immobilized on DMNF with enzyme loading of 106 mg/g-support, its apparent activity reached 2,667 U/g, which benefited from the “hierarchical petal” and large pore structure of the magnetic DMNF leading to high enzyme loading and fast diffusion of substrate molecules to the immobilized PGA to reaction. The apparent activity of the immobilized PGA could keep 2,408 U/g (above 90% of its initial activity) after repeating use for 10 cycles. The magnetic immobilized PGA exhibited excellent operational stability due to covalently coupling of the enzyme molecules between the support by covalent interaction of the amino groups of PGA and the reactive groups of epoxy, catechol, and phthaloquinone groups on DMNF. Furthermore, the PGA displayed good acid and alkaline resistance as well as thermal stability by immobilization using DMNF.     

Spectral analysis of scattered light from flowers’ petals

A new method was developed for studying absorption characteristics of opaque samples based on the light scattering spectroscopy. Measurements were made in white, red and violet petals of Petunia hybrida, and gave the absorption spectra in a non-destructive manner without damaging the cell structures of the petal. The red petal has absorption peak at 550 nm and the violet has three absorption peaks: at 450, 670, and 550 nm. The results were discussed in correlation with the microscopic cell structures of the petal observed with optical microscope and transmission electron microscopy (TEM). Only the cells placed in the surface have the pigments giving the color of the petal.     

花瓣燃烧器低负荷运行理论与应用的研究

本文应用贴体坐标结构化网格对复杂曲面的花瓣燃烧器进行了三维(360°)煤粉燃烧的数值模拟.给出了在75%BMCR和55%BMCR工况下花瓣燃烧器的流场和浓度场,重点分析了花瓣燃烧器的稳燃原理和特性.计算结果表明,在花瓣稳燃器的作用下,煤粉气流进入炉内能立即在瓣后的径向回流区内着火燃烧,并在此区域形成稳定的"值班火焰",为整个风粉气流的着火燃烧提供稳定的热量来源.有利于低挥发分煤在广泛负荷范围内的稳定着火和完全燃烧.     

仿花瓣表面多功能高分子纳米薄膜的制备

以红玫瑰花瓣为模板, 用纳米压印图案转移法进行仿生合成, 获得具有多功能性的高分子薄膜. 通过将薄膜进行染色, 制得了具有特殊花瓣颜色的人工薄膜, 并探讨了化学色与结构色之间的关系.     

Complete Assignment of the 1H and 13C NMR Spectra of Carthamin Potassium Salt Isolated from Carthamus tinctorius L.

Carthamin potassium salt isolated from Carthamus tinctorius L. was purified by an improved traditional Japanese method, without using column chromatography. The ¹H and ¹³C nuclear magnetic resonance (NMR) signals of the pure product were fully assigned using one- and two-dimensional NMR spectroscopy, while the high purity of the potassium salt and deprotonation at the 3′ position of carthamin were confirmed by atomic adsorption spectroscopy and nano-electrospray ionization mass spectrometry.     

高分子自组装Mn2O3花瓣状纳米带、纳米线的研究

通过控制热处理工艺条件, 利用Mn(CH3COO)2和具有特殊空间构型的聚乙烯醇(PVA), 在600 ℃合成了类花瓣状Mn2O3纳米带和纳米线结构. SEM, XRD表征分析证明Mn2O3纳米带结构为方铁锰矿晶型结构, 沿(222)方向择优生长. 分析了热处理工艺对一维纳米结构的影响机制. 初步探讨了Mn2O3一维纳米结构的生长机理.