非紧完备的Khler流形上的嵌入问题

本文证明了任一n维的非紧完备,具有有限拓扑型的Kahler流形,若它的Ricci曲率为正的,有限的且陈氏示性数有限,则它双全纯等价于拟射影代数簇.     

A matrix inequality on Schur complements

We investigate a matrix inequality on Schur complements defined by {1}-generalized inverses, and obtain simultaneously a necessary and sufficient condition under which the inequality turns into an equality. This extends two existing matrix inequalities on Schur complements defined respectively by inverses and Moore-Penrose generalized inverses (see Wang et. al. [Lin. Alg. Appl., 302–303 (1999) 163–172] and Liu and Wang [Lin. Alg. Appl., 293(1999) 233–241]). Moreover, the non-uniqueness of {1}-generalized inverses yields the complicatedness of the extension.     

Immortal solution of the Ricci flow

For any complete noncompact Kähler manifold with nonnegative and bounded holomorphic bisectional curvature, we provide the necessary and sufficient condition for the immortal solution to the Ricci flow.     

闭光滑流形上的高阶线性微-积分方程

利用积分变换技巧,作者给出了C~n中闭光滑可定向流形上一个新的Bochner-Martinelli型积分的高阶偏导数的奇异积分的Hadamard主值,获得了高阶奇异积分的Plemelj公式和合成公式,还讨论了相应的变系数线性微分积分方程的正则化,证明其可转化为一类等价的Fredholm方程。并且指出其特征方程当给出一组适当的边值条件时,在L~*中存在唯一解。     

闽江福州河段环境工程地质问题的评价研究

江河环境工程地质问题是环境工程地质学研究的重要课题。江河沿岸环境地质条件是影响和决定沿江城市环境质量的重要背景 ;是控制和影响沿江河岸城市的环境容量和质量的重要因素。本文以闽江下游福州河段为例 ,概要评述了闽江福州河段的水动力条件和流水地质作用类型、强度等状况 ;分析研究了该河段的流水地质作用和地貌环境变化动态及其与沿江河岸人类各种工程建设活动的互相作用的特征和规律。对促进和提高沿江河岸“人—地系统”和谐协调平衡发展水平 ,正确规划、预测和评价沿江河岸各类工程建设发展的经济和社会效益及其前景 ,都具有重要意义.     

有序Au/Ag纳米碗阵列的简易制备及其表面增强拉曼散射性能

通过湿法化学合成基于SiO₂胶体晶体的大面积有序Au/Ag纳米碗(Au/AgNB)阵列。首先,在玻璃基板上以3D SiO₂胶体晶体作为模板。然后,在Au纳米颗粒(AuNP)种子的帮助下,通过原位生长方法在模板上沉积一层Au纳米壳(AuNS)。再通过HCHO还原Ag⁺使AuNS表面进一步沉积Ag纳米壳,形成Ag/Au双纳米壳(Ag/AuNS)阵列。通过丙烯酸酯改性双向取向聚丙烯(BOPP)方便地获得了单层有序反转Ag/AuNB阵列。这种有序Au/AgNB阵列具有更佳的表面增强拉曼散射(SERS)活性,其SERS分析增强因子(AEF)可达2.23×10⁷。     

Smart nanoprobe based on two-photon sensitized terbium-carbon dots for dual-mode fluorescence thermometer and antibacterial

Accurate temperature measurement plays an important role in a variety of industrial processes and scientific researches. In our work, the dual-mode temperature response nanoprobe CDs-Tb-TMPDPA containing a two-photon ligand (4-(2,4,6-trimethoxyphenyl)-pyridine-2,6-dicarboxylic acid, TMPDPA) sensitized Tb³⁺ as a temperature-sensitive unit and carbon dots (CDs) as photothermal reagent and a fluorescence reference unit, have been designed and synthesized. In this system, both the fluorescence intensity ratio and the fluorescence lifetime have a good response to temperature. In addition, due to the excellent photothermal conversion capability of CDs, photothermal antibacterial ability was also tested. Based on the temperature dependence of the fluorescence and the two-photon excitation characteristics of CDs-Tb-TMPDPA, the nanoprobe can also be used in the anti-counterfeiting. Our finding opens a new prospect for the use of two-photon sensitized dual-mode fluorescence thermometers.     

TITAN: A Code for Modeling and Generating Electric Fields—Features and Applications to Enzymatic Reactivity

We present here a versatile computational code named “elecTric fIeld generaTion And maNipulation (TITAN),” capable of generating various types of external electric fields, as well as quantifying the local (or intrinsic) electric fields present in proteins and other biological systems according to Coulomb's Law. The generated electric fields can be coupled with quantum mechanics (QM), molecular mechanics (MM), QM/MM, and molecular dynamics calculations in most available software packages. The capabilities of the TITAN code are illustrated throughout the text with the help of examples. We end by presenting an application, in which the effects of the local electric field on the hydrogen transfer reaction in cytochrome P450 OleT_JE enzyme and the modifications induced by the application of an oriented external electric field are examined. We find that the protein matrix in P450 OleT_JE acts as a moderate catalyst and that orienting an external electric field along the Fe─O bond of compound I has the biggest impact on the reaction barrier. The induced catalysis/inhibition correlates with the calculated spin density on the O-atom. © 2019 Wiley Periodicals, Inc.     

关于三幂等矩阵的秩特征的研究

本文对已有的关于三幂等矩阵秩的等式作了进一步研究，指出其中有些可以作为判定三幂等矩阵的充要条件，即三幂等矩阵的秩特征等式，本文还证明了有无穷多种三幂等矩阵的秩特征等式形式．