Dislocated Soft Metric Space with Soft Fixed Point Theorems

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Fixed Point Theorems of Hegedus Contraction Mapping in Some Types of Distance Spaces

In the present paper, we prove some fixed point theorems of Hegedus contraction in some types of distance spaces, dislocated metric space, left dislocated metric space, right dislocated metric space and dislocated quasi-metric metric space which are generalized metrics spaces where self-distances are not necessarily zero.

EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS

The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Eldeisten-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.

Interaction of two edge dislocations in free-space propagation

This paper studies in detail the interaction of two edge dislocations nested in a Gaussian beam propagating in free space. It shows that in free-space propagation the edge dislocations are unstable and vanish, and two noncanonical vortices with opposite topological charge take place when off-axis distances cl and c2 of two edge dislocations are nonzero, and the condition k2w08＋ 32c1c2（w02- 2C1C2）Z2 〉 0 is fulfilled （k-wave number, w0-waist width）. A noncanonical vortex appears when one off-axis distance is zero. However, one edge dislocation is stable when two edge dislocations are perpendicular and one off-axis distance is zero. Two perpendicular edge dislocations both with zero off-axis distance are also stable. The analytical results are illustrated by numerical examples.

EFFECT OF SURFACE ENERGY ON DISLOCATION-INDUCED FIELD IN HALF-SPACE WITH APPLICATION TO THIN FILM-SUBSTRATE SYSTEMS

In this work the elastic field of an edge dislocation in a half-space with the effect of surface energy has been obtained. The elastic field is then used to study the image force on the dislocation, the critical thickness for dislocation generation in epitaxial thin films with strain mismatch and the yielding strength of thin films on substrates. The results show that the image forces on the dislocation deviate from the conventional solutions when the distance of the dislocation from the free surface is smaller than several times of the characteristic length. Also due to the effect of surface energy, the critical thickness for dislocation generation is smaller than that predicted by the conventional elastic solutions and the extent of the deviation depends on the magnitude of mismatch strain. In contrast, the effect of surface energy on the yielding strength for many practical thin films can be neglected except for some soft ones where the characteristic length is comparable to the thickness.

ON THE ISOMETRIC ISOMORPHISM OF PROBABILISTIC METRIC SPACES

There are two kinds of isometric isomorphism in probabilistic metric space theory. The first is that a PM space (E, F) is isometrically isomorphic to another PM space (E', F'), and the second is that a PM space (E, F) is isometrically isomorphic to a generating space of quasi-metric family (E', d(r), r is an element of (0, 1)). This paper establishes the connection between the two kinds of isometric isomorphism.

多源数据挖掘的北京“Z世代”职住空间特征及影响因素研究

利用2021年9月至12月的手机信令数据、POI及网络数据等多源数据,以前人对北京城市职住空间研究的结论为参照系,对空间错位指数进行测度与比较,并利用地理探测器方法,分析挖掘居住和工作在北京中心城区出生于1995-2010年的“Z世代”群体居住—就业空间的职住特征及其影响因素。结果表明:1)北京“Z世代”的居住空间和就业空间总体呈现多集聚小组团的特点,且与北京城市居住—就业中心的总格局基本一致,但空间错位指数要高于全年龄段;2)所在地区的生活设施配置、交通条件是影响“Z世代”对居住地和工作地选择的主要因素,房价也是影响居住地选择的重要因素;3)“Z世代”的职住空间选择影响因子均存在交互作用,表现为双因子增强和非线性增强,说明居住地和工作地选择受到多个条件的协同作用。

云南省旅游景区丰度与网络关注度的空间错位

旅游景区是地区旅游吸引力的重要来源,探究旅游景区丰度与网络关注度的空间错位对于实现区域旅游高质量发展具有重要意义.以云南省16个市州为研究对象,运用重力模型和空间错位指数模型分析2013—2019年云南省旅游景区丰度与旅游网络关注度的重心移动轨迹、错位类型及错位程度的演化趋势.两者存在明显的空间错位.将各市州的错位指数划分成高、中、低等错位3个不同层级后得到其演化趋势为:高等错位的市州数量呈现出波动增减的状态,中等错位的市州在不断减少,低等错位的市州在增加,整体错位度趋于减小.

从空间视域看《文城》的爱情悲剧

《文城》讲述了林祥福为了寻找妻子而南下“文城”的故事。小说重现了余华的温情叙事,并从中显现出作者构建空间的某种痕迹。在小说中,爱情悲剧是重要的叙事主题之一。小说直观呈现出林祥福和纪小美所生活的不同社会(家庭)空间,迥异的成长环境潜藏着两人爱情悲剧的源头;同时构建出两人背负着各自伤痛的心理空间,纪小美的离去、林祥福的刻意寻找与回避呈现出这份有缘无分的爱情带给他们的折磨。另外,在物理空间上,作者描绘出横亘在两人之间始终错位的“文城”。从某种意义上来说,这三重空间主导了小说的情节,而空间的阻隔最终也酿成二人凄怆的爱情悲剧。

Line-integral representations for extended displacements, stresses,and interaction energy of arbitrary dislocation loops in transversely isotropic magneto-electro-elastic bimaterials

In addition to the hexagonal crystals of class 6 mm, many piezoelectric materials （e.g., BaTiO3）, piezomagnetic materials （e.g., CoFe2O4）, and multiferroic com-posite materials （e.g., BaTiO3-CoFe2O4 composites） also exhibit symmetry of transverse isotropy after poling, with the isotropic plane perpendicular to the poling direction. In this paper, simple and elegant line-integral expressions are derived for extended displace-ments, extended stresses, self-energy, and interaction energy of arbitrarily shaped, three-dimensional （3D） dislocation loops with a constant extended Burgers vector in trans-versely isotropic magneto-electro-elastic （MEE） bimaterials （i.e., joined half-spaces）. The derived solutions can also be simply reduced to those expressions for piezoelectric, piezo-magnetic, or purely elastic materials. Several numerical examples are given to show both the multi-field coupling effect and the interface/surface effect in transversely isotropic MEE materials.

Analytical solutions of uniform extended dislocations and tractions over a circular area in anisotropic magnetoelectroelastic bimaterials

In this paper, we derive the analytical solutions in a three-dimensional anisotropic magnetoelectroelastic bimaterial space subject to uniform extended dislocations and tractions within a horizontal circular area. By virtue of the Stroh formalism and Fourier transformation, the final expression of solutions in the physical domain contains only line integrals over [0, 2π] rather than infinite integrals. As the reduced cases, the half-space and homogeneous full-space solutions can be directly derived from the present solutions. Also, in terms of material domains, the present solutions can be reduced to the piezoelectric, piezomagnetic, purely elastic materials with different symmetries of material prop- erty. To carry out numerical calculations, Gauss quadrature is adopted. In the numerical examples, the effect of different loading locations on the response at the interface is analyzed. It is shown that, when the magnetic traction or electric dislocation is applied, the physical quantities on the interface may not decrease monotonically as the loading area moves away from the interface. The distributions of different in-plane physical quantities on the upper and lower interfaces under various extended horizontal loadings are compared and the differences are discussed. The work presented in this paper can serve as benchmarks for future numerical studies in related research fields.

Relative Quasisymmetry and Quasim?bius Mappings in Quasi-metric Spaces

The aim of this paper is to investigate the relationship between relative quasisymmetry and quasimöbius in quasi-metric spaces,and show that a homeomorphism f isη-quasisymmetric relative to A if and only if it isθ-quasimöbius relative to A between two both bounded quasi-metric spaces,where A⊆X and X is a quasi-metric space.

中西部三大都市圈旅游空间错位影响因素及时空动态演变研究

以成都、西安、武汉都市圈29个地级市为研究对象,从社会经济角度选取影响旅游流的三大因素,通过空间错位指数模型揭示三大都市圈旅游发展情况。结果表明:(1)2009—2019年三大都市圈旅游资源丰度和交通可达性重心整体向南偏移,经济发展水平和旅游流重心向北偏移,产生错位现象。(2)三大都市圈内部空间差异加剧,呈现“中心城市高,子城市低”,出现不同层级的“核心-边缘”空间结构。(3)整体而言,高错位区出现在武汉和成都,其余地级市空间错位指数绝对值集中在0~2;旅游资源、交通可达性、人均收入和旅游流对空间错位贡献值均为负值,表明其对空间错位有正向优化作用,其中交通可达性错位贡献值最大,是降低空间错位现象的最主要的因素。当前区域旅游发展除了重视核心城市对其余城市辐射及溢出作用外,同时应分析旅游要素错位区域及发展趋势,促进都市圈旅游的可持续发展。

我国省域共同富裕水平测度及时空分异演变

科学把握新发展阶段共同富裕的内涵特征,合理构建共同富裕的量化指标具有重要意义。基于效率与公平的理论框架,从富裕和共同两个维度构建共同富裕指标体系,计算2000—2020年各省份共同富裕指数并探究其时空演变格局。研究结果表明:2000—2020年各省份共同富裕水平变化存在地区间的规律性,其中,东部地区增量最多,西部地区增速最快,东北地区增量和增速均较低;各省共同富裕空间关联性呈现“倒U型”变化,地区间共同富裕指数存在显著的正向依赖关系,且共同富裕的空间聚集状态多为高聚集区(H-H)和低聚集区(L-L);2000—2020年,我国富裕度和共同度的重心整体向西南地区移动且错位距离呈现缩小趋势,各省份富裕度与共同度空间错位情况得到很大缓解。因此,我国在高质量发展中要实现共同富裕,应处理好效率与公平的关系,因地制宜、循序渐进地推动共同富裕建设,走好“先富带动后富”的共同奋斗之路。

错位纺纱对紧密纺成纱质量的影响

探讨错位纺纱对国产改造紧密纺成纱质量的影响及其机理。研究结果表明:错位纺纱改变了加捻三角形的形状和尺寸,因而改变了成纱结构和性质,错位纺纱对成纱质量的影响程度与错位方向和捻向的匹配有关,Z捻左斜与S捻右斜对成纱质量改善较显著;纺纱断面尺寸的变化也对成纱质量有着复杂的影响,一些因素对成纱质量是不利的,在实际生产中,应注意通过专件和工艺的配合加以改善;错位量的精确控制是错位纺纱的发展方向。

两相饱和介质半无限空间位错位移场

弹性位错理论是研究地震震源正演和反演的重要工具之一 .单相介质位错理论求得的地面变形场是稳定的、不变的 ,而实际地震后的地面变形场是变化的 .本文利用集中力作用下无限空间中两相饱和介质Green函数的柱函数表达式 ,通过弹性运动方程积分解的Helmholtz方程的Hansen矢量变换 ,再叠加自由表面影响场的方法求得两相饱和介质半无限空间位错位移场 .本文结果结合Nur的DD模式 ,在进水排水的假说下能解释地震后地面变形场的变化 .

低压开关柜母线温度场数值计算与分析

低压开关柜母线散热特性对其安全稳定运行至关重要。本文在全面考虑辐射与对流两种传热方式的基础上,采用有限元法建立热-流耦合模型求解低压开关柜母线温度场、速度场。并利用该模型分析了母线错位布置、间距大小对母线散热的影响,结果表明:在错位布置中工况3是5种母线错位排列中最优的,其三相母线温度比初始工况0分别低8.83 K、11.66 K、7.25 K;母线表面温度受母线间距影响,电流为1200~1800 A时母线之间最佳间距为50 mm。

计算分层介质中位错点源静态位移场的广义反射、透射系数矩阵和离散波数方法

本文将计算合成地震图的广义反射、透射系数矩阵和离散波数方法应用于静态问题,给出了分层介质中位错点源产生的静态位移场的计算方法。该方法保留了反射、透射矩阵方法的原有优点,通过将数值结果与解析解的对比表明,该方法具有较高的数值精度,可用于研究地震断层活动造成的地表形变。

不同模型下地震位错理论的对比及其应用进展综述

对半空间和球位错理论在理论和应用研究方面的进展进行了综合评述,讨论了地震位错理论在海啸方面的相关研究进展和位错理论与粒子群算法结合在断层反演方面的研究进展,对比分析了不同位错模型的优缺点,总结了位错模型在应用中的影响因素.本文认为不同位错理论的应用受地球分层的影响最大,其次是重力、曲率的影响,而受地形、震源深度及断层倾角等因素的影响则较小,在实际应用中应予以综合考虑.

国内外旅游环境承载力研究的发展历程与展望

旅游环境承载力的确定、调整是旅游规划、管理中的重要环节,也是旅游环境可持续承载的关键。"二战"后,伴随着大众旅游时代的到来,越来越多的旅游目的地在旅游高峰出现拥挤、超载、污染等问题,旅游环境问题成为学术界关注的焦点。文章对国内外学者在旅游环境承载力方面的研究进行梳理,提出了五点研究展望,包括突出旅游环境承载力供需系统的可持续承载优化研究、注重旅游环境承载力供给系统的发展潜力研究、实施旅游环境承载力的管理创新研究、进行旅游环境承载力利用程度的时空错位研究和突出实证研究等。