Mobility of water molecules in Li+, Na+ and Cs+ ionic forms of Nafion membrane studied by NMR

Correlation times and diffusion coefficients of water molecules were measured for the first time by ¹H spin relaxation and pulsed field gradient NMR in Li⁺, Na⁺ and Cs⁺ ionic forms of Nafion 117 membrane. Hydration numbers of Li⁺, Na⁺ and Cs⁺ cations were calculated. It was shown that at high humidity macroscopic transfer is controlled by the local translational motion of water molecules.     

Exendin-4螺旋结构对生物活性及稳定性的影响

针对Exendin-4的螺旋结构特点, 采用去掉螺旋序列、 用3个连续Ala替换螺旋以及Gln13替换为Tyr13的方式对N端α-螺旋及C端α-螺旋进行改造, 设计出4个结构模拟物. 通过圆二光谱和荧光光谱进行结构分析, 结合模拟物生物活性实验, 分析Exendin-4螺旋结构与生物活性的关系. 结果表明：  Exendin-4的N端螺旋比C端螺旋对生物活性影响更大； 在抗二肽基肽酶（DPPⅣ酶）的稳定性实验中, C端螺旋比N端螺旋具有更好维系Exendin-4稳定性的作用； 螺旋结构中Tyr13可作为提高Exendin-4生物活性的重要优化位点.     

What is the optimal cutoff surface for ore bodies with more than one mineral?

In mine planning problems, cutoff grade optimization defines a threshold at every time period such that material above this value is processed, and the rest is considered waste. In orebodies with multiple minerals, which occur in practice, the natural extension is to consider a cutoff surface. We show that in two dimensions the optimal solution is a line, and in n dimensions it is a hyperplane.     

基于深度学习的中医古文献临床经验抽取

中医古文献蕴藏着丰富的临床经验，是古代中医在行医过程中对临床诊疗的经验性总结，体现了中医学形成和发展的理论框架和思想基础.然而这些宝贵的临床经验不仅量大，而且分散在不同的文献中，使得中医从业者手工很难快速全面地获取它们，文献检索工具也只能提供文档级别的信息筛选，无法为这种细粒度的信息获取提供支持.此外，古汉语相对于现代汉语的不同特点也限制了主流文本分析工具的使用效果.为此本文提出面向临床经验获取的中医古文献信息抽取任务，用于识别古文献中描述临床经验的文本片段，手工标注了样本数据用于这种抽取模型的训练和测试，并设计了基于深度学习的序列标注器用于完成该任务.考虑到标注数据量小可能带来的过度拟合问题，本文引入对抗训练和虚拟对抗训练来增强模型的泛化能力.一系列充分的实验验证了模型的有效性，表明利用信息抽取技术从古文献获取中医临床经验具有可行性，为这一新的信息抽取任务提供了有希望的研究基线和可复用的标注数据集.     

The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics

This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as the uniqueness and global attractivity of the coexistence state in two generalized diffusive prototypes of the symbiotic and competing species models of Lotka–Volterra. The optimality of these uniqueness theorems reveals the tremendous strength of the Picone identity.     

某电解铅厂周边农田土壤和玉米中铅污染评价及同位素溯源研究

为探究铅在土壤-玉米-大气中的迁移转化行为,以某电解铅厂周边农田土壤和玉米为研究对象,采集距排烟口50 m、110 m、300 m、500 m、700 m、900 m和3 000 m处的土壤和玉米样品,利用原子吸收光谱仪(AAS)和电感耦合等离子体质谱仪(ICP-MS)分别测定土壤、玉米和大气样品的铅含量和同位素比值。结果表明:电解铅厂周边的玉米均受到铅的污染,玉米根中的铅主要来自土壤,籽粒中的铅很有可能大部分来自大气,少部分来自土壤,茎中的铅很可能来自土壤而不是叶面传输;籽粒中的铅与叶片中的铅具有显著的相关关系(P0.01),相关方程为y=-0.0002x~2+0.0461x-0.4643,R=0.966 7。     

Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form

In this paper we consider minimizers of the functional$\min \{{\lambda }_1(\mathrm{\Omega })+\cdots +{\lambda }_k(\mathrm{\Omega })+\mathrm{\Lambda }|\mathrm{\Omega }|,:\mathrm{\Omega }\subset D\text{ open}\}$ where $D\subset {\mathbb{R}}^d$ is a bounded open set and where $0<{\lambda }_1(\mathrm{\Omega })\le \cdots \le {\lambda }_k(\mathrm{\Omega })$ are the first k eigenvalues on Ω of an operator in divergence form with Dirichlet boundary condition and with Hölder continuous coefficients. We prove that the optimal sets ${\mathrm{\Omega }}^{⁎}$ have finite perimeter and that their free boundary $\partial {\mathrm{\Omega }}^{⁎}\cap D$ is composed of a regular part, which is locally the graph of a $C^{1,\alpha }$-regular function, and a singular part, which is empty if $d<d^{⁎}$, discrete if $d=d^{⁎}$ and of Hausdorff dimension at most $d-d^{⁎}$ if $d>d^{⁎}$, for some $d^{⁎}\in \{5,6,7\}$.