钨(Ⅵ)的富集与检测方法研究进展

检测W（Ⅵ）对环境科学和生命科学研究具有积极意义。本文就1991年以来国内外W（Ⅵ）的富集手段，检测方法概况作一综述，其中包括，荧光光谱法，分光光度法，原子发射光谱法，质谱法，动力学方法，极普法，化学发光法，中子活化分析及联用技术等。     

有界凸圆型域上的准凸映照

本文研究星形映照的一类子族——有界凸圆型城上的准凸映照,并讨论了它与星形映照及凸映照的关系,建立其与凸映照同形的增长定理和掩盖定理．     

基于叶绿素荧光光谱分析的稻瘟病害预测模型

为了实现稻瘟病的快速、准确和无损检测,力求构建稻瘟病害预测模型。根据水稻叶片相对病害面积将稻瘟病划分为3个等级,通过激光诱导法采集不同病害等级的活体水稻叶片叶绿素荧光光谱。选取502～830 nm波段激光诱导叶绿素荧光光谱(LICF)作为研究对象,利用Savitzky-Golay平滑法(SG)和一阶导数变换(FDT)对光谱信息进行预处理,通过主成分分析(PCA)方法获取经SG-FDT预处理后光谱的特征向量,根据累积贡献率和方差选取前3个主成分进行分析。将试验样本分为建模样本和检验样本,以稻瘟病害等级为预测指标,利用建模样本的133片叶片的光谱和病害信息分别结合判别分析(DA)、多类逻辑回归分析(MLRA)和多层感知器(MLP)建立稻瘟病的预测模型,利用检验样本的89片叶片的光谱和病害信息对所建模型进行预测检验,完成对PCA-DA、PCA-MLRA和PCA-MLP的对比寻优。结果表明,PCA-DA,PCA-MLRA和PCA-MLP模型均能完成对稻瘟病害的预测,但PCA-MLP模型的平均预测准确率能够达到91.7%,相比PCA-DA和PCA-MLRA模型,在稻瘟病害3个等级上均具有较好的分类和预测能力。     

Parabolic Omori–Yau Maximum Principle for Mean Curvature Flow and Some Applications

We derive a parabolic version of Omori–Yau maximum principle for a proper mean curvature flow when the ambient space has lower bound on \(\ell \)-sectional curvature. We apply this to show that the image of Gauss map is preserved under a proper mean curvature flow in euclidean spaces with uniformly bounded second fundamental forms. This generalizes the result of Wang (Math Res Lett 10:287–299, 2003) for compact immersions. We also prove a Omori–Yau maximum principle for properly immersed self-shrinkers, which improves a result in Chen et al. (Ann Glob Anal Geom 46:259–279, 2014).     

低速轴流涡轮非定常数值模拟的非线性谐波法

本文介绍了旋转机械非定常数值模拟的非线性谐波方法,并对某低速轴流涡轮的流场进行了数值模拟,获得了该涡轮通道内的非定常流场结构.在与实验结果及定常计算结果对比确认的基础上,分析了该涡轮动静叶间干涉与非定常流动特性,并比较了谐波阶数和工质的压缩性对计算结果的影响.研究结果表明,非线性谐波方法可有效地模拟动静非定常干涉.     

Quasi-Nambu-Goldstone modes in Bose-Einstein condensates

We show that quasi-Nambu-Goldstone (NG) modes, which play prominent roles in high energy physics but have been elusive experimentally, can be realized with atomic Bose-Einstein condensates. The quasi-NG modes emerge when the symmetry of a ground state is larger than that of the Hamiltonian. When they appear, the conventional vacuum manifold should be enlarged. Consequently, topological defects that are stable within the conventional vacuum manifold become unstable and decay by emitting the quasi-NG modes. Contrary to conventional wisdom, however, we show that the topological defects are stabilized by quantum fluctuations that make the quasi-NG modes massive, thereby suppressing their emission.     

Distortion theorem for Bloch mappings on the unit ball <Emphasis Type="Italic">ℬ</Emphasis><Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

In this paper, we obtain a version of subordination lemma for hyperbolic disk relative to hyperbolic geometry on the unit disk D. This subordination lemma yields the distortion theorem for Bloch mappings f ∈ H（B^n） satisfying ｜｜f｜｜0 = 1 and det f＇（0） = α ∈ （0, 1], where｜｜f｜｜0 = sup{（1 - ｜z｜^2 ）n＋1/2n det（f＇（z））[1/n ： z ∈ B^n}. Here we establish the distortion theorem from a unified perspective and generalize some known results. This distortion theorem enables us to obtain a lower bound for the radius of the largest univalent ball in the image of f centered at f（0）. When a = 1, the lower bound reduces to that of Bloch constant found by Liu. When n = 1, our distortion theorem coincides with that of Bonk, Minda and Yanagihara.     

面向信息化战争的广义兰切斯特战争模型

21世纪是一个信息化时代,为了更好的面向信息化战争.通过对传统的兰切斯特微分方程进行改进,考虑了信息化的诸多因素,引入了战场情报感知系数和信息优势系数.构建了数学模型,并对其进行差分处理求解,比较分析了交战双方对战场感知系数变化和信息优势系数变化情况下,对战争的影响.以海湾战争为例,检验了模型的可行性.     

大尺度三维几何尺寸立体视觉测量系统实现

基于立体视觉的大尺度三维几何尺寸测量技术是对外形不规则的大型物体进行几何量测量的有效方法。与传统的视觉测量技术不同,大尺度视觉测量的精度随测量距离的增加而迅速下降,同时大尺度空间下照明条件难以控制,也使得测量变得不稳定。因此如何在大测量尺度的前提下提高测量精度成为这一领域的研究难点。从立体视觉测量系统的原理出发,分析了影响系统精度的各种因素,将相位一致性变换与极线约束条件引入结构光光条中心提取之中,显著提高了图像分析的精度。研制了测量系统的样机并给出了实验结果,现场测试表明该系统可以有效地保证大尺度条件下的测量精度。