Plane Elasticity and Dislocation of One-Dimensional Hexagonal Quasicrystals with Point Group 6

Plane elasticity theory of one-dimensional hexagonal quasicrystals with point group 6 is proposed and established. As an application of this theory, one typical example of dislocation problem in the quasicrystals is investigated and its exact analytic solution is presented. The result obtained indicates that the stress components of (elastic) fields of a straight dislocation in the quasicrystals still first order singularity, which is the same as the (general crystals,) but are related with the Burgers vector of phason fields, which is different from the general (crystals.)

Point Groups and Single Forms of Quasicrystals with Eightfold and Twelvefold Symmetry

This paper mainly deals with the point groups and single forms of octagonal quasicrystals and the description of one-dimensional quasilattice. The authors present a new sequence for describing the arrangement of quasiperiods in one-dimensional quasilattice. The first ten numbers of quasiperiods of this sequence are 1, 1, 2, 5, 12, 29, 70, 169, 408 and 985. The arrangement of quasiperiods in the first five steps are a, b, ab. babab and babababbabab. Seven p(?)nt groups and nine single forms for the octagonal system have been deduced, They are as follows: Point groups: 8.8m, 82, 8/m, 8/mmm, 8 and 82m; single forms: octagonal prism, dioctagonal prism. octagonal pyramid. dioctagonal pyramid. octagonal dipyramid, dioctagonal dipyramid, octagonal scalenohedron, dioctagonal scalenohedron and octagonal trapezohedron. Besides seven point groups and nine single forms for the dodecahegonal system have also been deduced.

Complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry and holey problems

The complex method of the plane elasticity in 2D quasicrystal with point group 10 mm tenfold rotational symmetry is established. First displacement potential function in the quasicrystal is represented by four analytic functions. Then by utilizing the properties of analytic function and through a great deal of derivation, the complex representations of stresses and displacementscomponents of phonon fields and phason fields in the quasicrystal are given, which are the theo-retical foundation for this method. From this theory, and by the help of conformal transformations in the theory of complex function, the problems of elliptic hole in the quasicrystal are solved. Its spe-cial cases are the solutions of well-known crack problem. Meanwhile, the results show that even if under the self-counterbalance force in the quasicrystal plane with elliptic hole, the stress compo-nents of phonon fields are also related to material constants of the quasicrystal when the phonon fields and phason fields are coupled, which is another distinctive difference from the properties of classical elastic theory. Besides, the present work is generalization and application of the complex method in the classical elastic theory established by Muskhelishvili to 2D quasicrystal. As in the classical elastic theory, if only conformal transformation from the quasicrystal plane to unit circle isfound, any holey and crack problem in the quasicrystal plane could be solved.

Flag-transitive point-primitive 2-(v,k,4) symmetric designs and two dimensional classical groups

Let D be a 2-（v, k, 4） symmetric design and G be a flag-transitive point-primitive automorphism group of D with X ≥G ≤Aut（X） where X ≌ PSL2（q）.Then D is a 2-（15,8,4） symmetric design with X = PSL2（9） and Xx = PGL2（3） where x is a point of D.

Ih POINT GROUP AND ELECTRONIC STRUCTURES OF AI-Mn CLUSTERS WITH Ih SYMMETRY

The existence of diffraction spots possessing icosahedral (Ih) point-group symmetry, discovered by D. Shechtman et al. on electron diffraction patterns of rapidly solidified Al-Mn alloys, has changed the conventional way of dividing solid states into crystalline and noncrystalline. Quasicrystalline, a new state

Lie point symmetry algebras and finite transformation groups of the general Broer-Kaup system

Using a new symmetry group theory, the transformation groups and symmetries of the general Broer-Kaup system are obtained. The results are much simpler than those obtained via the standard approaches.

A new group contribution-based method for estimation of flash point temperature of alkanes

Flash point is a primary property used to determine the fire and explosion hazards of a liquid. New group contribution-based models were presented for estimation of the flash point of alkanes by the use of multiple linear regression(MLR)and artificial neural network(ANN). This simple linear model shows a low average relative deviation(AARD) of 2.8% for a data set including 50(40 for training set and 10 for validation set) flash points. Furthermore, the predictive ability of the model was evaluated using LOO cross validation. The results demonstrate ANN model is clearly superior both in fitness and in prediction performance.ANN model has only the average absolute deviation of 2.9 K and the average relative deviation of 0.72%.

The Homotopy Perturbation Renormalization Group Method to Solve the WKB Problem with Turn Points

In this paper,we give the homotopy perturbation renormalization group method,this is a new method for turning point problem.Using this method,the independent variables are introduced by transformation without introducing new related variables and no matching is needed.The WKB approximation method problem can be solved.

密度导向的点云动态图卷积网络

针对现有主流网络对于点云局部特征提取的能力不足,以及在特征提取过程中未考虑点云密度的问题,提出一种密度导向的点云动态图卷积网络.首先提出点云局部密度指数的概念,衡量点及其邻域点在相应的空间位置中的密集程度;然后利用局部密度指数动态赋予每个点一个膨胀因子,提出密度导向的动态点分组方法对点云构建局部图结构,对每个局部图结构构造动态边缘卷积模块进行特征的提取与聚合,既提取了点云的几何特征,又实现了置换不变性;最后采用残差网络的思想优化图神经网络的过平滑问题.实验结果表明,在分类数据集ModelNet40与ScanObjectNN上,所提网络的分类准确率分别为93.5%和82.2%;在分割数据集ShapeNet与S3DIS上,该网络的平均交并比分别为85.6%和60.4%,均高于DGCNN等主流网络;所提网络在多项任务中的精度都得到显著提升,且在处理密度不均的点云时有较好的鲁棒性,验证了所提算法的可行性与有效性.

Endpoints of Multi-Valued Weak Contractions on the Metric Space of Partially Ordered Groups

The present work considers the endpoint in the abstract metric space. It firstly introduces the metric space of partially ordered groups and the metric space of partially ordered modules, respectively;and defines the convergence of sequences and the multi-valued weak contractions, etc., on the introduced space. And then, with the methods of functional analysis and abstract algebra, it successively establishes an endpoint theorem for the metric space of partially ordered groups and an endpoint theorem for the metric space of partially ordered modules. The contributions of this article extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).

Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces

The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontractive semi-groups in the general Banach spaces. The results presented in this paper extend and improve the corresponding results of some people.

茂金属聚乙烯薄膜晶点的组成及形成原因

采用凝胶渗透色谱仪(GPC)、差示扫描量热仪(DSC)、偏光显微镜以及红外光谱等分析手段,从原料的分子链结构分析了茂金属聚乙烯薄膜晶点的组成及其形成原因。结果表明,茂金属聚乙烯薄膜晶点的结晶形态与无晶点的正常薄膜的不同,构成晶点的晶体尺寸均匀性远不如无晶点的正常薄膜,这是因为晶点中含有类似于纤维状的晶体,这种晶体先结晶,导致随后形成的晶体在此处生长不均匀。此外,分子链上的端基双键(RCH CH 2)在吹膜过程中引起的分子间交联和分子链中存在的亚甲基序列较长的规整结构,是形成类纤维状晶体的主要因素,而较长亚甲基序列的规整结构是由于共聚单体分布不均匀引起的。

ICESat-2水深提取方法及其反演应用

相比于传统水深测量方法,结合主动激光卫星ICESat-2数据与被动光学遥感影像的主被动融合水深反演方法具有低成本、覆盖面积广、不受地域限制、无需地面实测数据等优点.研究选取澳大利亚大堡礁中部的John Brewer Reef和南部的Fitzroy Reef为实验区,开展主被动融合水深反演实验.针对ICESat-2光子点群信噪比低、光子点水深信息提取和改正难的问题,本文提出基于光子点群高斯分布特征的海面光子点群提取方法和基于深度自适应DBSCAN的海底光子点群提取方法,并顾及海面倾斜引起的入射角偏移,改进了Parrish水体折射改正几何模型.实验表明,基于光子点群高斯分布特征的海面光子点群提取方法和基于深度自适应DBSCAN的海底光子点群提取方法可以高效准确地提取出有效的海面、海底光子点群;经过地球物理改正和基于改进模型的水体折射改正后,水深变浅,且改正项与改正前水深呈线性关系,线性系数约为-0.2550.实验将提取并改正后的ICESat-2光子点水深与经大气校正、耀斑校正、空间域滤波等预处理后的Sentinel-2影像进行空间匹配构建水深反演样本集,并利用单波段模型(SB)、比值模型(BR)、Lyzenga多项式模型(LP)、二次多项式模型(QP)、三次多项式模型(CP)、支持向量回归模型(SVR)、多层感知器模型(MLP)、随机森林回归模型(RF)等水深反演模型对实验区全域水深进行反演.通过对比分析多种水深反演模型在不同地理区域和ICESat-2水深样本分布条件下的表现,研究为不同场景下的主被动融合水深反演策略提供了一定的科学依据.

针对境内居留群体及其聚居区引入服务型爱国社团的思考及建议——以澳门街坊总会广东办事处服务点为例

伴随着改革开放力度的加大,我国入境居留且拥有境外身份的社会群体日益增大,其居留期内的社会服务需求凸显。针对居留群体引入并设立服务型爱国社团,有助于维护国家的安全稳定与繁荣发展,有助于提高居留群体的生活质量,有助于促进境内外交流与粤港澳融合发展,但同时也面临管理、资源不足等问题。澳门街坊总会在内地设立广东办事处及中山、横琴等服务点,以社会效益最大化为目标,建构社会服务机制,以需求为导向提供社会服务。引入境外爱国服务型社团,应依法筛选友好型、信誉良好、能提供优质服务的爱国社团,加强服务管理,促进其规范运作,发挥应有作用。

工程教育认证背景下数据挖掘课程群的构建与实践研究

以工程教育认证为引领,根据数据挖掘分析在专业认证申请中制定的毕业生应该具备的知识和能力要求,以培养高质量数据分析、数据挖掘人才为宗旨,制定课程群素质、能力、知识三位一体的培养目标,结合学校应用型本科定位、专业培养目标及课程群培养目标构建课程目标能力点与毕业指标点关系结构体系,整合教学资源、建立课程群关联,创新实践教学体系,改革教学模式与方法、考核模式等,从而持续有效地提升学生的数据分析挖掘能力和综合素养,更好地达到行业对人才的认可标准。

基于PS-InSAR的怀来台定点形变群体异常机理分析

以怀来台为例,联合定点形变仪器观测结果和PS-InSAR技术监测结果,研究2017年11月至2018年3月怀来台定点形变仪器群体观测异常发生的机理。结果显示:怀来台所在区域地面沉降中心位于义合堡村的抽水井;地面沉降起始时间和定点形变仪器观测数据出现群体异常时间与义合堡村供热抽水井在供暖期抽取地下水的时间同步。综上认为在供暖期内义合堡村用于供热的抽水井抽水活动导致怀来台定点形变观测仪器出现群体异常。该技术可被广泛应用到定点形变仪器观测异常机理研究方面。

适用于点群共存场景的TPMBM跟踪算法

针对传统群目标跟踪算法在点群共存场景下跟踪精度低的问题,提出了可以同时对点目标和群目标进行跟踪的轨迹泊松多伯努利混合(trajectory Poisson multi-Bernoulli mixture,TPMBM)滤波算法。该算法对目标的状态空间进行扩展,在标准点目标和群目标模型的基础上引入关于目标类别的概率信息,通过TPMBM滤波器的预测和更新过程实现对目标类别的判断和对目标运动状态的估计。仿真结果表明,与现有算法相比,所提算法在点目标和群目标共存时漏检误差明显降低,具有更优的跟踪性能。

化学化工类专业课程思政教学设计与实践

将思政元素潜移默化地融入高校专业课程的教学过程,是全面落实“立德树人”根本任务的基本要求和有效途径。结构化学作为化学专业基础课程,蕴含了丰富的思政元素。本文以“分子对称性”为例,根据本节课的教学内容和结构化学课程的特点,挖掘了与分子对称性相关的思政元素,阐述了知识讲解与思政融合的双线协同的教学设计思路和过程,以期为结构化学教师课程思政教学提供设计思路和实例。

基于伪点云特征增强的多模态三维目标检测方法

环境感知是自动驾驶汽车落地的关键技术之一,它对于提高自动驾驶汽车的安全性和可靠性至关重要.三维目标检测是其中的一项核心任务,旨在识别和定位三维空间中的物体,为后续决策提供重要的信息.点云和图像是该任务最常用的输入数据,点云由三维空间中不规则分布的点组成,而图像则是由二维空间上规则分布的像素组成.因此,点云和图像之间难以进行有效的融合.而伪点云作为一种点云表征的图像信息,近几年受到了该领域学者的广泛关注.现阶段基于伪点云的三维目标检测方法还存在伪点云特征提取粗糙和相应感兴趣区域(Region-of-Intersts,RoI)特征表征能力差的问题.本文针对上述问题开展研究,分别提出细粒度注意力卷积和多尺度分组稀疏卷积.细粒度注意力卷积将规则图像处理中常用的深度可分离卷积引入不规则点云的处理流程,并在此基础上嵌入通道和分组注意力机制,进行精细的特征提取,增强伪点云特征;多尺度分组稀疏卷积将格网池化后的Ro I特征分组,进行差异化特征学习,获取不同尺度的Ro I特征,增强伪点云Ro I格网特征的表征能力.基于此,本文在SFD(Sparse Fuse Dense)网络的伪点云特征提取流程中引入细粒度注意力卷积,同时在其伪点云Ro I特征学习流程中引入多尺度分组稀疏卷积,构建SFD++多模态三维目标检测网络.在权威KITTI自动驾驶数据集上的实验结果表明,SFD++每秒可以处理8.33帧数据,其精度在简单、中等和困难的三维汽车检测上达到95.74%、88.80%和86.04%,比次优SFD的精度高出0.15%、0.84%和0.58%.除此之外,一系列消融和补充实验结果验证了所提出卷积的有效性和相关参数设置的合理性.

论体育旅游的概念体系:逻辑起点、术语体系与基本概念

体育旅游作为一门多学科交叉的新型专业,目前其概念体系还无法支撑体育旅游专业的建设和指导体育旅游活动的实践。文章从体育旅游的英文名称、概念内涵与要素的学界认知及理解分析入手,运用演绎法对构成体育旅游概念体系的逻辑起点、核心概念词群、术语体系和基本概念进行多学科、多角度辨析,在此基础上对体育旅游这一概念进行定义,从而对其内涵进行阐释。