Function spaces of Besov-type and Triebel-Lizorkin-type——a survey

This article is devoted to presenting a recapitulative introduction for the theory of Besov-type and Triebel-Lizorkin-type spaces developed in recent years.

Fuzzy Logic Inference Applications in Road Traffic and Parking Space Management

In modern motoring, many factors are considered to realize driving convenience and achieving safety at a reasonable cost. A drive towards effective management of traffic and parking space allocation in urban centres using intelligent software applications is currently being developed and deployed as GPS enabled service to consumers in automobiles or smartphone applications for convenience, safety and economic benefits. Building a fuzzy logic inference for such applications may have numerous approaches such as algorithms in Pascal or C-languages and of course using an effective fuzzy logic toolbox. Referring to a case report based on IrisNet project analysis, in this paper Matlab fuzzy logic toolbox is used in developing an inference for managing traffic flow and parking allocation with generalized feature that is open for modification. Being that modifications can be done within any or all among the tool’s universe of discourse, increment in the number of membership functions and changing input and output variables etc, the work here is limited within changes at input and output variables and bases of universe of discourse. The process implications is shown as plotted by the toolbox in surface and rule views, implying that the inference is flexibly open for modifications to suit area of application within reasonable time frame no matter how complex. The travel time to the parking space being an output variable in the current inference is recommended to be substituted with distance to parking space as the former is believed to affect driving habits among motorist, whom may require the inference to as well cover other important locations such as nearest or cheapest gas station, hotels, hospitals etc.

ON THE UNIFORMLY FRECHET DIFFERENTIABILITY OF NORMS

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Representation theorems of the dual of Lebesgue-Bochner function spaces

By representing random conjugate spaces a general representation theorem on classical duals is proved. For application, we unify and improve many known important representation theorems of the dual of Lebesgue-Bochner function spaces.

基于RBFNN的双星协同仅测角定轨方法

针对空间非合作目标空间态势感知任务中弱可观测无源定轨状态的快速捕获问题,提出了一种基于径向基函数神经网络(RBFNN)的双星协同稀疏无源测角定轨方法。首先,在限制性三体问题的假设下建立了考虑地球非球形J2项摄动的轨道动力学模型和赤经赤纬测量模型。然后,构建了基于RBFNN的双星协同仅测角定轨框架,设计了训练数据集生成器、数据预处理方法和RBFNN结构。最后,利用地球静止轨道任务进行了数值仿真验证,并对测角频率等参数的定轨敏感性进行分析。仿真结果表明,在240 s内仅进行三次角度观测的条件下,该模型对初始相对距离估计的平均绝对百分比误差约为0.36%,目标轨道速度的估计误差在米/秒量级,可实现高精度的超短弧段稀疏无源测量定轨。

序列型函数空间的Kothe对偶

描述一类序列型函数空间,它们与某矢量序列空间等距同构,并应用矢量序列空间方法刻划其 Kothe对偶.

公园绿地与城市功能空间耦合协调关系及影响因素分析——以乌鲁木齐市为例

公园绿地和城市功能空间是城市空间的组成部分,研究公园绿地与城市功能空间耦合协调关系及其影响因素,对优化公园绿地合理布局,促进城市功能空间协同发展具有重要意义。以乌鲁木齐市中心城区为研究对象,运用核密度分析、标准差椭圆、耦合协调度模型和地理探测器等方法,在分析公园绿地与城市功能空间分布格局的基础之上,进一步探析二者空间的耦合协调关系及其影响因素。结果表明:(1)公园绿地与城市各功能空间形成了内密外疏、圈层式递减、向西北方向扩展的空间聚集特征。(2)公园绿地与城市各功能空间的分布重心均与城市中心发生了一定程度的偏离。公园绿地、居住空间、交通运输空间、公共服务空间呈西北—东南方向分布。休闲娱乐空间、商业空间呈东北—西南方向分布。(3)公园绿地与城市各功能空间耦合协调的主导类型为中度失调型,耦合协调度呈现出“中部高、东西两侧和南北两翼低”的空间分异特征。其中,人口因素、交通条件是影响公园绿地与城市各功能空间耦合协调度的主要因素,社会经济则是次要因素。

Orlicz空间与其对偶空间

本研究从Young函数及性质出发,得到了一些基本结果,研究了具有Luxemburg范数的两个Banach空间,利用泛函分析方法证明了Luxemburg范数与Olicz范数的等价性;接着获得了Orlicz空间(Mθ,‖·‖θ)的拓扑对偶空间M′θ与Lθ*的同构性。

A function model for the Teichmüller space of a closed hyperbolic Riemann surface

We introduce a function model for the Teichmüller space of a closed hyperbolic Riemann surface.Then we introduce a new metric on the Teichmüller space by using the maximum norm on the function space.We prove that the identity map from the Teichmüller space equipped with the Teichmüller metric to the Teichmüller space equipped with this new metric is uniformly continuous. Moreover, we prove that the inverse of the identity, i.e., the identity map from the Teichmüller space equipped with this new metric to the Teichmüller space equipped with the Teichmüller metric, is continuous(but not uniformly). Therefore, the topology induced by the new metric is the same as the topology induced by the Teichmüller metric on the Teichmüller space.Finally, we give a remark about the pressure metric on the function model and the Weil-Petersson metric on the Teichmüller space.

Effect of a dual-function solar collector integrated with building on the cooling load of building in summer

As a building integrated solar thermal system,the dual-function solar collector integrated with building works for passive space heating in cold winter season,and for water heating in warm seasons.In this paper,the study is made on the dual-function solar collector integrated with building when it works in water heating mode with natural circulation.The coupled model of the collector and building's environment is established and validated.A numerical simulation is achieved to show the thermal effect of the novel system on the building in summer.By comparing with the cooling loads of the rooms with or without the novel collector in summer,the results show that when in summer,the novel solar system is available for serving hot water,and it does not have the summer overheating problem,and can even improve the thermal environment of its building slightly.

A numerical and experimental study of a dual-function solar collector integrated with building in passive space heating mode

A newly designed solar collector named dual-function solar collector is proposed.The dual-function solar collector integrated with building can perform in two different modes:working as a passive space heating collector in cold sunny days such as in winter,or working as a facade water heating collector in hot days such as in summer.An experimental study has been carried out to investigate the performance of the novel system in space heating mode,whilst,the dynamic numerical model has been established and validated.The experimental and numerical results show that during the period of the measurement from 9:00 to 17:00,the mean indoor temperature was up to 24.7°C while the mean ambient temperature was only 4.8°C,and a temperature stratification was present in the room.Moreover,a numerical study on the effect of optical property of coatings has been carried out.

Research on adaptive dual task offloading decision algorithm for parking space recommendation service

In order to improve the efficiency of tasks processing and reduce the energy consumption of new energy vehicle(NEV), an adaptive dual task offloading decision-making scheme for Internet of vehicles is proposed based on information-assisted service of road side units(RSUs) and task offloading theory. Taking the roadside parking space recommendation service as the specific application Scenario, the task offloading model is built and a hierarchical self-organizing network model is constructed, which utilizes the computing power sharing among nodes, RSUs and mobile edge computing(MEC) servers. The task scheduling is performed through the adaptive task offloading decision algorithm, which helps to realize the available parking space recommendation service which is energy-saving and environmental-friendly. Compared with these traditional task offloading decisions, the proposed scheme takes less time and less energy in the whole process of tasks. Simulation results testified the effectiveness of the proposed scheme.

张量紧说

本文从线性空间出发,介绍了线性泛函与对偶空间,在此基础上以双线性型为例引出了张量的数学定义-多线性泛函;另一方面,内积作为一种特殊的双线性型给予向量另一种身份:余向量,由此通过限定定义张量的线性空间都取为Rn(n=2,3),就得到了(连续介质)力学中常用的张量,即在基变换下坐标(或称分量)按照给定规则变化的量。进一步给出了张量的张量积、缩并、点积和双点积运算。

南京公园绿地与城市功能空间的时空关联特征——基于Ripley’s K函数与POI数据

探究公园绿地与城市功能空间的分布关系及其演变特征,是促进二者高效协同发展的基础。基于POI及土地利用数据,借助核密度分析、双变量Ripley’sK函数等方法,以南京为例揭示了2012、2016、2020年公园绿地、各城市功能空间的时空关联关系及其演变规律。结果表明:1)公园绿地、各城市功能空间分布呈现古城聚集并向主城外围扩散趋势;2)主城区范围内,分别以公园绿地视角观察功能空间、以功能空间视角观察公园绿地,均呈现逐年减弱的聚集趋势,且距离阈值、变化趋势双向趋同;3)古城区范围内,城市功能空间在公园绿地周边聚集,除商业、居住空间聚集强度先增加后降低外,其余均持续增强,而公园绿地在各城市功能空间周边呈现逐年减弱的离散模式。研究结果有助于深化公园绿地与城市空间演化理论,为二者高效协同和高品质人居环境营造提供科学支撑和规划依据。

南京公园绿地与城市功能空间分布关系——基于双变量Ripley′s K函数分析

公园绿地与城市功能空间存在空间关联关系,其规律及尺度特征仍有待揭示。以南京为例,借助标准差椭圆、核密度分析方法和POI数据以及双变量Ripley′s K函数,探究公园绿地与城市功能空间的分布关系。结果表明:1)公园绿地整体均衡、局部聚集,而交通空间均衡分布,公共服务、居住、商服空间的集聚趋势由中心向外围递减;2)主城区公园绿地与功能空间呈现显著的交互促进影响模式,其中公园绿地分别距公共服务、居住、商服空间1200 m、1300 m、1600 m开始呈现聚集模式,交通空间无明显距离差异;3)古城区集聚态势较之主城区有所减弱,公园绿地分别与公共服务、居住、交通、商服空间距1500 m、1200 m、900 m、300 m之内存在配置冲突,在此距离之外各功能空间的布局概率不断增加,仅公园绿地与交通空间呈现较为显著的正向交互影响。最后提出优化建议,为公园绿地与各功能空间协同发展、高效互动提供参考。

中国城市职能对公园绿地供给的影响

城市职能是城市经济特征的集中反映,科学认识城市职能对公园绿地供给的影响规律,对推进“公园城市”建设具有现实意义。文章基于职能视角,以我国286个地级及以上城市为研究对象,揭示全国15个产业部门的职能标准化指数对公园绿地率、人均公园绿地面积的影响关系。结果表明:1)城市职能是影响城市公园绿地供给的关键因素,且各产业部门对公园绿地指标的影响具有异质性。2)各城市职能对公园绿地率的促进作用呈现出水利环境公设管理业(0.129)>建筑业(-0.121)>卫生社会保障和福利业(-0.160)的规律。3)城市职能对人均公园绿地面积的相对影响力是既有标准所涉变量的4倍,其中,制造业的促进作用最显著,而卫生社会保障和福利业的抑制作用最强烈。研究结果说明工业、服务业职能对公园绿地供给具有深刻影响。

结合自适应双透射率和景深变化的去雾方法

为了解决单幅图像去雾算法透射率估计不准确和复原结果偏色等问题,提出一种结合景深变化的自适应双透射率去雾方法。首先,将有雾图像从RGB颜色空间转换到Lab颜色空间,对亮度分量作形态学处理和滤波操作,并结合最大值通道估计出大气光。其次,利用有雾图像的高斯-对数映射实现对无雾图像暗通道的估计,并根据不等式关系得到无雾图像的亮通道,然后估计出双透射率。最后,结合深度图与透射率之间的关系,构建双透射率联合优化的自适应透射率函数,并结合大气散射模型恢复出无雾图像。实验表明,所提方法复原结果颜色自然、去雾彻底、细节信息丰富,且具有较高的视觉对比度。同时,在不同场景中均可获得较好的去雾效果,有效解决了透射率估计不准确和偏色问题。

Local Hardy spaces of Musielak-Orlicz type and their applications

Letφ:R n × [0,∞) → [0,∞) be a function such that φ(x,·) is an Orlicz function and (·,t) ∈ A ∞loc (Rn) (the class of local weights introduced by Rychkov).In this paper,the authors introduce a local Musielak-Orlicz Hardy space hφ(Rn) by the local grand maximal function,and a local BMO-type space bmoφ(Rn) which is further proved to be the dual space of hφ(Rn).As an application,the authors prove that the class of pointwise multipliers for the local BMO-type space bmo φ (Rn),characterized by Nakai and Yabuta,is just the dual of L 1 (Rn) + h Φ 0 (Rn),where φ is an increasing function on (0,∞) satisfying some additional growth conditions and Φ 0 a Musielak-Orlicz function induced by φ.Characterizations of hφ(Rn),including the atoms,the local vertical and the local nontangential maximal functions,are presented.Using the atomic characterization,the authors prove the existence of finite atomic decompositions achieving the norm in some dense subspaces of hφ(Rn),from which,the authors further deduce some criterions for the boundedness on hφ(Rn) of some sublinear operators.Finally,the authors show that the local Riesz transforms and some pseudo-differential operators are bounded on hφ(Rn).

从潇湘古阁到近代公园:文夕大火前天心阁教化功能研究

天心阁作为教化空间,其教化功能的主导权从明清到民国期间经历了由官方到民间再到官方的演变。施教者的变化导致其所传达的教化意义发生改变。文夕大火将天心阁付之一炬,其教化功能也随物质空间的焚毁而暂消。本文将天心阁作为特定的教化空间并讨论文夕大火前长沙地区官方力量与民间社会力量的此消彼长。

微缩城市,多元共融——北京樊家村鼎业文化产业园

项目通过功能的多元组织,在解决集体经济劳动力安置问题的同时,提供城市多样功能融合的可能性,以充分改善周边医疗、居住、教育等功能板块的配套需求,提升区域活力。