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Middle/Small Sized Cities and Open Spaces. Technological-Environmental Design Synergies
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作者 Filippo Angelucci Cristiana Cellucci 《Journal of Civil Engineering and Architecture》 2022年第2期78-84,共7页
The paper presents some of the results of research carried out by the authors on the unbuilt spaces of small and medium-sized towns,which are characterised by demographic and economic fragility,as well as by critical ... The paper presents some of the results of research carried out by the authors on the unbuilt spaces of small and medium-sized towns,which are characterised by demographic and economic fragility,as well as by critical issues caused by climatic,cultural,geomorphological and social changes.Among the transformative tendencies often underway in open urban spaces are either top-down,excessively generalist/standardised interventions,or bottom-up,exclusively specialised/customised actions.Thus,the need for a synergy between universal and user-centred vision emerges,which allows us to rethink the unbuilt space of the city in an integrated way,as a regulatory-enabling interface.A regulatory-enabling interface is a system of spaces able to bring the challenges of urban sustainability within a wider relational and connective declination between resources,spaces,inhabitants,cultures and forms of local production.This challenge appears to be particularly feasible in small and medium-sized cities,due to the small size of the settlements,the permanence of long-lasting relationships between collective space,individuals and society,and the socio-cultural conditions that favour adaptation processes. 展开更多
关键词 Technological-environmental design user centred vision universal centred vision urban redesign regulating-enabling space
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Enhanced characterization of depolarizing samples using indices of polarization purity and polarizance–reflection–transformation spaces 被引量:1
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作者 Dekui Li Ivan Montes +5 位作者 Mónica Canabal-Carbia Irene Estévez Octavi Lopez-Coronado Zhongyi Guo Juan Campos Ángel Lizana 《Advanced Photonics Nexus》 2025年第1期77-92,共16页
Depolarizing behavior is commonly observed in most natural samples.For this reason,optical tools measuring the differences in depolarization response among spatially separated structures are highly useful in a wide ra... Depolarizing behavior is commonly observed in most natural samples.For this reason,optical tools measuring the differences in depolarization response among spatially separated structures are highly useful in a wide range of imaging applications for enhanced visualization of structures,target identification,etc.One commonly used tool for depolarizing discrimination is the so-called depolarizing spaces.In this article,we exploit the combined use of two depolarizing spaces,the indices of polarization purity(IPP)and polarizance–reflection–transformation(PRT)spaces,to improve the capability of optical systems to identify polarization–anisotropy depolarizers.The potential of these spaces to discriminate among different depolarizers is first studied from a series of simulations by incoherently adding diattenuations or retarders,with some control parameters emulating samples in nature.The simulated results demonstrate that the proposed methods are capable of increasing differences among depolarizers beyond other well-known techniques.Experimentally,validation is provided by conducting diverse phantom experiments of easy interpretation and mimicking the stated simulations.As a useful application of our approach,we developed a model able to retrieve intrinsic microscopic information of samples from macroscopic polarimetric measurements.The proposed methods enable non-invasive,straightforward,macroscopic characterization of depolarizing samples,and may be of interest for enhanced visualization of samples in multiple imaging scenarios. 展开更多
关键词 DEPOLARIZER RETARDER diattenuator polarization space.
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Integration of Regional Culture into the Landscape Design of Rural Public Spaces:A Case Study of Xiaomaopoying Village in Enshi 被引量:1
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作者 HE Minghao 《Journal of Landscape Research》 2025年第2期47-50,共4页
In the context of rural revitalization,the landscape design of public spaces in Enshi Xiaomaopoying Village presents both new opportunities and challenges.This study explores the significance of integrating regional c... In the context of rural revitalization,the landscape design of public spaces in Enshi Xiaomaopoying Village presents both new opportunities and challenges.This study explores the significance of integrating regional culture into rural public spaces.Field research has been conducted to assess the current utilization of regional culture in the public spaces of Xiaomaopoying Village.Subsequently,design optimization strategies are analyzed and proposed.Additionally,the practical application of regional cultural elements is examined,in order to offer guidance for the application of cultural creation of traditional characteristic villages in rural public spaces. 展开更多
关键词 Xiaomaopoying Village MIAO Rural public space Regional culture Landscape design
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Coincidence Point and Common Fixed Point Theorems on b-Metric-like Spaces
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作者 LUO Ting 《应用数学》 北大核心 2025年第3期831-840,共10页
In this paper,we establish common fixed point theorems for expansive map?pings on b-metric-like space and coincidence point for f-weakly isotone increasing mappings in partially ordered b-metric-like space.The main re... In this paper,we establish common fixed point theorems for expansive map?pings on b-metric-like space and coincidence point for f-weakly isotone increasing mappings in partially ordered b-metric-like space.The main results generalize and extend several well-known comparable results from the existing literature.Moreover,some examples are provided to illustrate the main results. 展开更多
关键词 b-metric-like space Partially ordered b-metric-like space Expansive mapping f-weakly isotone mapping Coincidence point Common fixed point
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The Minimal Affine Total Variation in Minkowski Spaces
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作者 MOU Shuang 《数学进展》 北大核心 2025年第1期164-176,共13页
In this paper,we use the solution of the even functional Minkowski problem to show that there is a minimizing affine Minkowski total variation of the function of bounded variation.Moreover,for the Minkowski total vari... In this paper,we use the solution of the even functional Minkowski problem to show that there is a minimizing affine Minkowski total variation of the function of bounded variation.Moreover,for the Minkowski total variation,we use the method of convexation to establish the same conclusion as the convex body space. 展开更多
关键词 convex body minimal surface area Minkowski space bounded variation
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Products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball
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作者 ZHANG Chao QIN Yuehai 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第2期160-169,共10页
The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic fu... The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic functions in the unit ball by radial derivative.Then we extend the Sharma's results. 展开更多
关键词 composition operator multiplication operator differentiation operator weighted Bergman space
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Convergence of a New Bregman Projection Method with a Self-adaptive Stepsize for Solving Monotone Inclusion Problems and Variational Inequality Problems in Reflexive Banach Spaces
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作者 CHEN Lulu CAI Gang 《数学进展》 北大核心 2025年第1期141-163,共23页
The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces.... The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces.The strong convergence result for our method is established under some standard assumptions without any requirement of the knowledge of the Lipschitz constant of the mapping.Several numerical experiments are provided to verify the advantages and efficiency of proposed algorithms. 展开更多
关键词 Bregman distance variational inequality monotone inclusion maximal operator reflexive Banach space
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The Paley-Wiener Theorem for General Weighted Hardy Spaces on Tube Domains
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作者 HUANG Yun ZHANG Dawei 《应用数学》 北大核心 2025年第3期841-849,共9页
In this paper,the Paley-Wiener theorem is extended to the analytic function spaces with general weights.We first generalize the theorem to weighted Hardy spaces Hp(0<p<∞)on tube domains by constructing a sequen... In this paper,the Paley-Wiener theorem is extended to the analytic function spaces with general weights.We first generalize the theorem to weighted Hardy spaces Hp(0<p<∞)on tube domains by constructing a sequence of L^(1)functions converging to the given function and verifying their representation in the form of Fourier transform to establish the desired result of the given function.Applying this main result,we further generalize the Paley-Wiener theorem for band-limited functions to the analytic function spaces L^(p)(0<p<∞)with general weights. 展开更多
关键词 Paley-Wiener Theorem Fourier transform Weighted Hardy space Tube domain
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Boundedness of the Commutators of Rough Singular Integral Operators on Triebel–Lizorkin Spaces
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作者 LIU Jie GAO Wenhua 《数学进展》 北大核心 2025年第5期1075-1086,共12页
Let Ω be homogeneous of degree zero,integrable on S^(n−1) and have mean value zero,T_(Ω) be the homogeneous singular integral operator with kernel Ω(x)/|x|^(n) and[b,T_(Ω)]be the commutator of T_(Ω)with symbol b∈BMO(... Let Ω be homogeneous of degree zero,integrable on S^(n−1) and have mean value zero,T_(Ω) be the homogeneous singular integral operator with kernel Ω(x)/|x|^(n) and[b,T_(Ω)]be the commutator of T_(Ω)with symbol b∈BMO(R^(n)).In this paper,the authors prove that if sup ζ∈S^(n−1)∫Sn−1^(|Ω(θ)|log^(β)(1/|θ·ζ|)dθ<∞ with β>2,then[b,T_(Ω)]is bounded on Triebel–Lizorkin space F^(0,q)p(R^(n))provided that 1+1/β−1<p,q<β. 展开更多
关键词 rough singular integral operator COMMUTATOR Triebel-Lizorkin space Littlewood-Paley theory
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Compactness of Fractional Calderón Type Commutators on Morrey Spaces
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作者 LI Aobo MEI Ting WEI Qi 《数学进展》 北大核心 2025年第4期858-870,共13页
In this paper,the authors study the fractional Calderon type commutator T_(Ω,α)^(A)and its maximal operator M_(Ω,α)^(A)with kernels having some kinds of Log-type Dini-condition and obtain the compactness on Morrey... In this paper,the authors study the fractional Calderon type commutator T_(Ω,α)^(A)and its maximal operator M_(Ω,α)^(A)with kernels having some kinds of Log-type Dini-condition and obtain the compactness on Morrey spaces L^(p,λ)(R^(n)). 展开更多
关键词 Calderón type commutator COMPACTNESS Log-type Dini-condition Morrey space
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A Note for Weighted Local Hardy Spaces
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作者 ZHAO Haijing LI Baode 《数学进展》 北大核心 2025年第5期1095-1101,共7页
Inhomogeneous Calderon-Zygmund operator T maps each atom into an approximate molecule of weighted local Hardy space if and only if some approximate cancellation condition holds for T.An equivalent norm for weighted Le... Inhomogeneous Calderon-Zygmund operator T maps each atom into an approximate molecule of weighted local Hardy space if and only if some approximate cancellation condition holds for T.An equivalent norm for weighted Lebesgue space which has vanishing moments up to order s plays an important role,where s∈N. 展开更多
关键词 local Hardy space Calderon-Zygmund operator Muckenhoupt weight
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A GENERALIZED CHOQUARD EQUATION WITH WEIGHTED ANISOTROPIC STEIN-WEISS POTENTIAL ON A NONREFLEXIVE ORLICZ-SOBOLEV SPACES
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作者 Lucas DA SILVA Marco A.S.SOUTO 《Acta Mathematica Scientia》 2025年第2期569-601,共33页
In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),where... In this paper we investigate the existence of solution for the following nonlocal problem with Stein-Weiss convolution term-△Φu+V(x)Φ(|u|)u=1/|x|α(∫R^(N)K(y)F(u(y))/|x-y|Y(λ)|y|^(α)dy)K(x)f(u(x)),x∈R^(N),where α≥0,N≥2,λ>0 is a positive parameter,V,K∈C(R^(N),[0,∞))are nonne-gative functions that may vanish at infinity,the function f ∈ C(R,R)is quasicritical and F(t)=∫_(0)^(t)f(s)ds.To establish our existence and regularity results,we use the Hardy-type inequalities for Orlicz-Sobolev Space and the Stein-Weiss inequality together with a varia-tional technique based on the mountain pass theorem for a functional that is not necessarily in C'.Furthermore,we also prove the existence of a ground state solution by the method of Nehari manifold in the case where the strict monotonicity condition on f is not required.This work incorporates the case where the N-function Φdoes not verify the △_(2)-condition. 展开更多
关键词 Orlicz-Sobolev spaces variational methods Choquard equation nonrefexive spaces
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BOUNDED,COMPACT AND SCHATTEN CLASSES HANKEL OPERATORS ON WEIGHTED FOCK SPACES
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作者 Chunxu XU 《Acta Mathematica Scientia》 2025年第4期1529-1554,共26页
Letϕbe a smooth radial weight that decays faster than the class Gaussian ones.We obtain certain estimates for the reproducing kernels and the Lp-estimates for solutions of theδ-equation on the weighted Fock spaces F_... Letϕbe a smooth radial weight that decays faster than the class Gaussian ones.We obtain certain estimates for the reproducing kernels and the Lp-estimates for solutions of theδ-equation on the weighted Fock spaces F_(ϕ)^(p)(1≤p≤∞),which extends the classical Hörmander Theorem.Furthermore,for a suitable f,we completely characterize the boundedness and compactness of the Hankel operator H_(f):F_(ϕ)^(p)→L^(q)(C,e^(qϕ(·))dm)for all possible 1≤p,q<∞and also characterize the Schatten-p class Hankel operator Hf from F_(ϕ)^(2)to L^(2)(C,E^(-2ϕ)dm) for all 0<p<∞. As an application, we give a complete characterization of the simultaneously bounded, compact and Schatten-p classes Hankel operators H_(f) and h_(f)^(-) on F_(ϕ)^(2). 展开更多
关键词 Hankel operators BOUNDEDNESS COMPACTNESS Schatten class δ-equation weighted Fock spaces
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On U_(S)-admitting Reflections of T_(0) Spaces
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作者 Liqun LIN Jinbo YANG 《Journal of Mathematical Research with Applications》 2025年第6期800-812,共13页
U_(S)-admitting spaces,which were introduced by Heckmann,enjoy many nice properties similar to those of the extensively studied well-filtered spaces.In this paper,we present a direct construction of the U_(S)-admittin... U_(S)-admitting spaces,which were introduced by Heckmann,enjoy many nice properties similar to those of the extensively studied well-filtered spaces.In this paper,we present a direct construction of the U_(S)-admitting reflections by using U_(S)-admitting determined sets. 展开更多
关键词 well-filtered space reflective subcategory sober space U_(S)-admitting space
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APPROXIMATION IN WEIGHTED HOLOMORPHIC BESOV SPACES ON POLYDISK AND UNIT BALL
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作者 Ali ABKAR 《Acta Mathematica Scientia》 2025年第5期2208-2216,共9页
We study certain weighted Bergman and weighted Besov spaces of holomorphic functions in the polydisk and in the unit ball.We seek conditions on the weight functions to guarantee that the dilations of a given function ... We study certain weighted Bergman and weighted Besov spaces of holomorphic functions in the polydisk and in the unit ball.We seek conditions on the weight functions to guarantee that the dilations of a given function converge to the same function in norm;in particular,we seek conditions on the weights to ensure that the analytic polynomials are dense in the space. 展开更多
关键词 Bergman space Besov space DILATION weight function
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On Modal Logics of Subset Spaces
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作者 Shengyang Zhong 《逻辑学研究》 2025年第3期1-24,共24页
In modal logic,topological semantics is an intuitive and natural special case of neighbourhood semantics.This paper stems from the observation that the satisfaction relation of topological semantics applies to subset ... In modal logic,topological semantics is an intuitive and natural special case of neighbourhood semantics.This paper stems from the observation that the satisfaction relation of topological semantics applies to subset spaces which are more general than topological spaces.The minimal modal logic which is strongly sound and complete with respect to the class of subset spaces is found.Soundness and completeness results of some famous modal logics(e.g.S4,S5 and Tr)with respect to various important classes of subset spaces(eg intersection structures and complete fields of sets)are also proved.In the meantime,some known results,e.g.the soundness and completeness of Tr with respect to the class of discrete topological spaces,are proved directly using some modifications of the method of canonical mode1,without a detour via neighbourhood semantics or relational semantics. 展开更多
关键词 subset spaces modal logics topological semantics modal logics egs s satisfaction relation modal logictopological semantics neighbourhood semanticsthis
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New construction of codebooks based on the singular linear spaces over finite fields
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作者 LIU Xuemei ZONG Mengting +1 位作者 SHI Tong JIA Lihua 《纯粹数学与应用数学》 2025年第3期508-520,共13页
Codebooks are widely applied in code division multiple access communication systems.Based on the subspaces of singular linear spaces over the finite fields,two classes of new codebooks are constructed.Firstly,a kind o... Codebooks are widely applied in code division multiple access communication systems.Based on the subspaces of singular linear spaces over the finite fields,two classes of new codebooks are constructed.Firstly,a kind of binary codebooks are constructed by using the subspace of the singular linear space over the finite fields.According to the anzahl theorem,the parameters and the maximum correlation amplitude I_(max)(C)of the codebooks are calculated,and then given the conditions that the I_(max)(C)asymptotically reaches the Welch bound.On this basis,by mixing with Hadamard matrices,the number of columns are increased and obtain another class of new code,which further relaxes the conditions that the I_(max)(C)asymptotically reaches the Welch bound. 展开更多
关键词 codebooks singular linear spaces Welch bound Hadamard matrix
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Perceived Green-blue Spaces Combined with Road Network for Urban Park Visitors in South China
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作者 WANG Lan WANG Xiaopei +3 位作者 WEI Hongxu LIU Yifeng ZHOU Changwei GUO Peng 《Chinese Geographical Science》 2025年第4期769-785,共17页
Exposure to green-blue spaces(GBS)affects the mental well-being of visitors,which should be an area-dependent effect with a critical range for perceiving emotions.This interacts with the road network(RN)to access GBS ... Exposure to green-blue spaces(GBS)affects the mental well-being of visitors,which should be an area-dependent effect with a critical range for perceiving emotions.This interacts with the road network(RN)to access GBS over a range,but the relevant evidence is unclear according to any case-specific demonstration.In this study,we selected 23 urban parks with varied populations from 19 cities in South China to identify the combined effects of landscape features and overlapped RN in different buffer zones on visitors’emotional perceptions.Sentiments were analyzed by rating facial expressions to happy,sad,and neutral scores from 2385 visitors’photos from a social network in 2020.Landscape metrics and RN were assessed remotely in buffer areas with radii of 1,3,5,and 10 km.The results showed that positive emotions were low in close areas(<3 km radius)with large blue spaces and dense national roads.In 10 km radius areas,dense roads at town-city levels were perceived to reduce positive emotions.Dense high-rank roads should be avoided around parks in areas with radii≤10 km if visitors perceive more positive sentiments.This is because the dense RN could diminish visitors’ability to perceive positive emotions in GBS when close to the park.The results of this study could help improve planning schemes with more opportunities to offer mental well-being in GBS-RN landscapes. 展开更多
关键词 green and blue spaces landscape index road network emotional expression South China
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Synergizing Urban Mobility: The Interplay between Autonomous Vehicles and Autonomous Parking Spaces for Sustainable Development
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作者 Emmanuel Anu Thompson Evans Tetteh Akoto +2 位作者 Herman Benjamin Atuobi Pan Lu Cephas Kenneth Abbew 《Journal of Transportation Technologies》 2025年第1期50-59,共10页
Integrating autonomous vehicles (AVs) and autonomous parking spaces (APS) marks a transformative development in urban mobility and sustainability. This paper reflects on these technologies’ historical evolution, curr... Integrating autonomous vehicles (AVs) and autonomous parking spaces (APS) marks a transformative development in urban mobility and sustainability. This paper reflects on these technologies’ historical evolution, current interdependence, and future potential through the lens of environmental, social, and economic sustainability. Historically, parking systems evolved from manual designs to automated processes yet remained focused on convenience rather than sustainability. Presently, advancements in smart infrastructure and vehicle-to-infrastructure (V2I) communication have enabled AVs and APS to operate as a cohesive system, optimizing space, energy, and transportation efficiency. Looking ahead, the seamless integration of AVs and APS into broader smart city ecosystems promises to redefine urban landscapes by repurposing traditional parking infrastructure into multifunctional spaces and supporting renewable energy initiatives. These technologies align with global sustainability goals by mitigating emissions, reducing urban sprawl, and fostering adaptive land uses. This reflection highlights the need for collaborative efforts among stakeholders to address regulatory and technological challenges, ensuring the equitable and efficient deployment of AVs and APS for smarter, greener cities. 展开更多
关键词 Autonomous Vehicles Autonomous Parking spaces SUSTAINABILITY Smart Infrastructure
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