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The Orthogonal Bases of Exponential Functions Based on Moran-Sierpinski Measures

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Acta Mathematica Sinica,English Series 2024年第7期40卷 1804-1824页

作者： Qi Rong DENG Xing Gang HE Ming Tian LI Yuan Ling YE School of Mathematics and statistics Center for Applied Mathematics of Fujian Province&Key Laboratory of Analytical Mathematics and Applications(Ministry of Education)Fujian Normal UniversityFuzhou350117P.R.China School of Mathematics and statistics Key Lab NAA-MOE and Hubei Key Lab-Math.Sci.Central China Normal UniversityWuhan430079P.R.China School of Mathematical Sciences&South China Research Center for Applied Mathematics and Interdisciplinary Studies South China Normal UniversityGuangzhou510631P.R.China

Let An∈M2(ℤ)be integral matrices such that the infinite convolution of Dirac measures with equal weightsμ{A_(n),n≥1}δA_(1)^(-1)D*δA_(1)^(-1)A_(2)^(-2)D*…is a probability measure with compact support,where D={(0,0)^(t),(1,0)^(t),(0,1)^(t)}is the Sierpinski *** prove that there exists a setΛ⊂ℝ2 such that the family{e2πi〈λ,x〉:λ∈Λ} is an orthonormal basis of L^(2)(μ{A_(n),n≥1})if and only if 1/3(1,-1)A_(n)∈Z^(2)for n≥2 under some metric conditions on A_(n).

关键词： Moran-Sierpinski measures orthonormal basis of exponential functions self-affine measures spectral measures

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Empirical likelihood for spatial cross-sectional data models with matrix exponential spatial specification

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Applied Mathematics(A Journal of Chinese Universities) 2024年第1期39卷 125-139页

作者： LIU Yan RONG Jian-rong QIN Yong-song Nanning University Nanning 530200China Center for Applied Mathematics of Guangxi and College of Mathematics and statistics Guangxi Normal UniversityGuilin 541004China

In this paper,we study spatial cross-sectional data models in the form of matrix exponential spatial specification(MESS),where MESS appears in both dependent and error *** empirical likelihood(EL)ratio statistics are established for the parameters of the MESS *** is shown that the limiting distributions of EL ratio statistics follow chi-square distributions,which are used to construct the confidence regions of model *** experiments are conducted to compare the performances of confidence regions based on EL method and normal approximation method.

关键词： MESS empirical likelihood con dence region

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A novel multi-state bogie system reliability evaluation approach by extended d-MC model for high-speed trains

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Transportation Safety and Environment 2024年第3期6卷 35-46页

作者： Yong Fu Ruoqu Liu Jisheng Dai Wenlong Zhu Xin Liu Yong Qin Zhuzhou CRRC Times Electric Co. Ltd.Times RoadShifeng DistrictZhuzhouHunan 412001China Department of statistics University of WarwickCoventry CV47ALUnited Kingdom State Key lab of Rail Traffic Control&Safety Beijing Jiaotong UniversityHaidian DistrictBeijing 100044China

Bogie is a pivotal system and plays a critical part in the safety and reliability management of high-speed ***,the available bogie system reliability analysis methods lack the consideration of multi-state characteristics,and the common multi-state reliability analysis methods,being an NP-hard problem,lead to low *** order to overcome these drawbacks,this paper proposes a novel multi-state rail train bogie system reliability analysis approach based on the extended d-MC *** different function interactions within the bogie system are considered to build the multi-state bogie system flow network ***,an extended d-MC model is established to remove unnecessary d-MC candidates and duplicates,which greatly enhances the computing *** bogie system reliability is calculated,and examples are *** experiments are carried out for the different operational conditions of the bogie system and are used to test the practicability of the method proposed in this article;it is found that this method outperforms a newly developed method in solving multi-state reliability problems.

关键词： multi-state system reliability bogie flow network extended d-MC model

A novel multi-state bogie system reliability evaluation approach by extended d-MC model for high-speed trains

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Transportation Safety and Environment 2024年第03期 69-80页

作者： Yong Fu Ruoqu Liu Jisheng Dai Wenlong Zhu Xin Liu Yong Qin Zhuzhou CRRC Times Electric Co. Ltd. Department of statistics University of Warwick State Key lab of Rail Traffic Control & Safety Beijing Jiaotong University

Bogie is a pivotal system and plays a critical part in the safety and reliability management of high-speed ***,the available bogie system reliability analysis methods lack the considera tion of multi-sta te characteris tics,and the common multi-state reliability analysis methods,being an NP-hard problem,lead to low *** order to overcome these drawbacks,this paper proposes a novel multi-state rail train bogie system reliability analysis approach based on the extended d-MC *** different function interactions within the bogie system are considered to build the multi-state bogie system flow network ***,an extended d-MC model is established to remove unnecessary d-MC candidates and duplicates,which greatly enhances the computing *** bogie system reliability is calculated,and examples are *** experiments are carried out for the different operational conditions of the bogie system and are used to test the practicability of the method proposed in this article;it is found that this method outperforms a newly developed method in solving multi-state reliability problems.

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Cognitive-emotional feasibility of the effect of visual quality of building form on promoting the sense of place attachment(Case study:Cultural iconic buildings of Iran’s contemporary architecture)

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Frontiers of Architectural Research 2024年第1期13卷 37-56页

作者： Narmin Ariannia Negar Naseri Mansour Yeganeh Digital Architecture and Artificial Intelligence lab Department of ArchitectureTarbiat Modares UniversityTehranIran Architectural Design Modeling and Fabrication LabDepartment of ArchitectureTarbiat Modares UniversityTehranIran

The present research studies the relationship between place attachment and the perception of form’s visual quality in fifteen outstanding contemporary Iranian architectural cultural *** study puts forward the hypothesis that there is a correlation between the quality of building form and the sense of place attachment,in the sense that creating high visual quality through enhancing the quality of building form increases citizens’initial satisfaction with and subsequent attachment to the *** visual quality influences people’s experience of the environment and improves the quality of *** attachment highlights how people,on a personal level,recreate a sense of place for *** present study adopts the descriptive-analytical method as its theoretical framework and the survey as the empirical *** were developed using the Likert scale and distributed among experts and ordinary *** analysis using SPSS and the adoption of descriptive-analytical statistics,correlation analysis,and regression showed the relationship among the characteristics of *** results show a positive correlation between form and place attachment mediated through visual quality,and they are causal conditions for one *** addition,only some of the buildings under study evoke the same level of place attachment.

关键词： Visual preferences Environmental quality Environmental psychology Mental schemas Contemporary architecture

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Analytical solutions for equivalent elastic compliance of cubic lattice structures subjected to hypergravity conditions

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Acta Mechanica Sinica 2024年第6期40卷 11-19页

作者： Lei Wang Yangkun Du Guannan Wang Chaofeng Lü College of Civil Engineering and Architecture Zhejiang UniversityHangzhou310058China School of Mathematics and statistics University of GlasgowGlasgowG128QQUK Faculty of Mechanical Engineering and Mechanics Ningbo UniversityNingbo315211China Key lab of Soft Machines and Smart Devices of Zhejiang Province Zhejiang UniversityHangzhou310027China Soft Matter Research Center Zhejiang UniversityHangzhou310027China

In order to comprehensively understand the mechanical behavior of biological entities and aerospace applications subjected to hypergravity environments,we delve into the impact of hypergravity on the equivalent compliance of cubic lattice *** on the periodic spatial distribution,we employ a unit cell methodology to deduce the homogenized stress-strain relationship for the lattice structures,subsequently obtaining the associated equivalent *** equivalent compliance can be conveniently reduced to instances without hypergravity ***,numerical simulations are executed to validate the derivations and to illustrate that hypergravity indeed affects the mechanical properties of lattice *** introduce a non-dimensional hypergravity factor,which quantifies the impact of hypergravity magnitude relative to the Young’s modulus of the base *** findings reveal that the hypergravity factor influences perpendicular compliance quadratically and parallel compliance ***,the perpendicular shear compliance remains unaffected,whereas the parallel shear compliance experiences an inverse ***,the lattice structure transforms into a gradient material oriented in the hypergravity direction,consequently generating a scale effect.

关键词： Hypergravity Cubic lattice structures Equivalent compliance Unit cell approach

Flow characteristics and bubble statistics during the fragmentation process of the ingested main cavity in plunging breaking waves

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Journal of Hydrodynamics 2024年第3期36卷 546-555页

作者： Wen-bin Zhang Wei-wen Zhao De-cheng Wan Computational Marine Hydrodynamics lab(CMHL) School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai200240China

Plunging breaking waves play an important role in the exchange of heat,momentum,and mass between the atmosphere and *** this paper,a series of direct numerical simulations is conducted to investigate the fragmentation process of the ingested main cavity in plunging breaking *** two-phase Navier-Stokes equations are solved using the finite-volume method based on adaptive refinement *** free surface is captured using a geometrical volume of fluid *** 2-D,3-D simulations are *** flow fields at different stages of wave breaking are presented and quantitative analysis for bubbles is *** 2-D instantaneous vorticity field and local velocity field are visualized to discuss the general flow characteristics during the fragmentation *** a 2-D parametric study is conducted to investigate the differences in the flow characteristics during the fragmentation process under different wave parameters including initial wave steepness(ε),Bond number(Bo),and Reynolds number(Re).3-D vortex structures are shown to further investigate the mechanisms behind the differences in the flow *** bubble size distributions under two different initial wave steepness are also discussed with their relationship to the fragmentation process of the ingested main *** research offers a significant understanding of the distinct procedures and fundamental dynamics involved in wave breaking,enhancing our comprehension of this intricate event.

关键词： Plunging breaking waves multiphase flow bubble statistics

Satellite-enabled enviromics to enhance crop improvement

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Molecular Plant 2024年第6期17卷 848-866页

作者： Rafael T.Resende Lee Hickey Cibele H.Amaral Lucas L.Peixoto Gustavo E.Marcatti Yunbi Xu Universidade Federal de Goia´s(UFG) Agronomy DepartmentPlant Breeding SectorGoiania(GO)74690-900Brazil TheCROP a Precision-Breeding Startup:EnviromicsPhenomicsand GenomicsNo Zip-codeOperating VirtuallyGoiania(GO)and Sete Lagoas(MG)Brazil Queensland Alliance for agriculture and Food Innovation The University of QueenslandBrisbaneQLDAustralia Earth lab Cooperative Institute for Research in Environmental SciencesUniversity of Colorado BoulderBoulderCO 80303USA Environmental Data Science Innovation&Inclusion lab Cooperative Institute for Research in Environmental SciencesUniversity of Colorado BoulderBoulderCO 80303USA Universidade Federal de Sa˜o Joa˜o del-Rei Forest Engineering DepartmentCampus Sete LagoasSete Lagoas(MG)35701-970Brazil Institute of Crop Sciences Chinese Academy of Agricultural SciencesBeijing 100081China Peking University Institute of Advanced Agricultural Sciences WeifangShandong 261325China BGI Bioverse Shenzhen 518083China

Enviromics refers to the characterization of micro-and macroenvironments based on large-scale environmental *** providing genotypic recommendations with predictive extrapolation at a site-specific level,enviromics could inform plant breeding decisions across varying conditions and anticipate productivity in a changing ***-based integration of statistics,envirotyping(i.e.,determining environmental factors),and remote sensing could help unravel the complex interplay of genetics,environment,and *** support this goal,exhaustive envirotyping to generate precise environmental profiles would significantly improve predictions of genotype performance and genetic gain in ***,informatics management platforms aggregate diverse environmental datasets obtained using optical,thermal,radar,and light detection and ranging(LiDAR)sensors that capture detailed information about vegetation,surface structure,and *** wealth of information,coupled with freely available climate data,fuels innovative enviromics *** enviromics holds immense potential for breeding,a few obstacles remain,such as the need for(1)integrative methodologies to systematically collect field data to scale and expand observations across the landscape with satellite data;(2)state-of-the-art AI models for data integration,simulation,and prediction;(3)cyberinfrastructure for processing big data across scales and providing seamless interfaces to deliver forecasts to stakeholders;and(4)collaboration and data sharing among farmers,breeders,physiologists,geoinformatics experts,and programmers across research *** these challenges is essential for leveraging the full potential of big data captured by satellites to transform 21st century agriculture and crop improvement through enviromics.

关键词： envirotyping precision breeding genotype-environment interactions remote sensing predictive models enviromic information

Survey on rain removal from videos or a single image

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Science China(Information Sciences) 2022年第1期65卷 72-94页

作者： Hong WANG Yichen WU Minghan LI Qian ZHAO Deyu MENG School of Mathematics and statistics Ministry of Education Key lab of Intelligent Networks and Network Security Xi'an Jiaotong University Pazhou lab

Rain can cause performance degradation of outdoor computer vision tasks. Thus, the exploration of rain removal from videos or a single image has drawn considerable attention in the field of image processing. Recently, various deraining methodologies have been proposed. However, no comprehensive survey work has yet been conducted to summarize existing deraining algorithms and quantitatively compare their generalization ability, and especially, no off-the-shelf toolkit exists for accumulating and categorizing recent representative methods for easy performance reproduction and deraining capability evaluation. In this regard, herein, we present a comprehensive overview of existing video and single image deraining methods as well as reproduce and evaluate current state-of-the-art deraining methods. In particular, these approaches are mainly classified into model-and deep-learning-based methods, and more elaborate branches of each method are presented. Inherent abilities, especially generalization performance, of the state-of-the-art methods have been both quantitatively and visually analyzed through thorough experiments conducted on synthetic and real benchmark datasets. Moreover, to facilitate the reproduction of existing deraining methods for general users, we present a comprehensive repository with detailed classification, including direct links to 85 deraining papers, 24 relevant project pages, source codes of 12 and 25 algorithms for video and single image deraining, respectively, 5 and 10 real and synthesized datasets, respectively, and 7 frequently used image quality evaluation metrics, along with the corresponding computation codes. Research limitations worthy of further exploration have also been discussed for future research along this direction.

关键词： rain removal maximum a posterior estimation deep learning generalization performance comprehensive repository