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NONMONOTONE LOCAL MINIMAX METHODS FOR FINDING MULTIPLE SADDLE POINTS

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Journal of Computational Mathematics 2024年第3期42卷 851-884页

作者： Wei liu Ziqing Xie Wenfan Yi South China Research Center for Applied Mathematics and Interdisciplinary Studies South China Normal UniversityGuangzhou 510631China Key Laboratory of Computing and Stochastic Mathematics(Ministry of Education) Hunan Normal UniversityChangshaHunan 410081China Hunan Provincial Key Laboratory of Intelligent Information Processing and Applied Mathematics School of MathematicsHunan UniversityChangshaHunan 410082China

In this paper,by designing a normalized nonmonotone search strategy with the BarzilaiBorwein-type step-size,a novel local minimax method(LMM),which is a globally convergent iterative method,is proposed and analyzed to find multiple(unstable)saddle points of nonconvex functionals in Hilbert *** to traditional LMMs with monotone search strategies,this approach,which does not require strict decrease of the objective functional value at each iterative step,is observed to converge faster with less ***,based on a normalized iterative scheme coupled with a local peak selection that pulls the iterative point back onto the solution submanifold,by generalizing the zhang-Hager(zh)search strategy in the optimization theory to the LMM framework,a kind of normalized zh-type nonmonotone step-size search strategy is introduced,and then a novel nonmonotone LMM is *** feasibility and global convergence results are rigorously carried out under the relaxation of the monotonicity for the functional at the iterative ***,in order to speed up the convergence of the nonmonotone LMM,a globally convergent Barzilai-Borwein-type LMM(GBBLMM)is presented by explicitly constructing the Barzilai-Borwein-type step-size as a trial step-size of the normalized zh-type nonmonotone step-size search strategy in each ***,the GBBLMM algorithm is implemented to find multiple unstable solutions of two classes of semilinear elliptic boundary value problems with variational structures:one is the semilinear elliptic equations with the homogeneous Dirichlet boundary condition and another is the linear elliptic equations with semilinear Neumann boundary *** numerical results indicate that our approach is very effective and speeds up the LMMs significantly.

关键词： Multiple saddle points Local minimax method Barzilai-Borwein gradient method Normalized nonmonotone search strategy Global convergence

A review of covalent organic frameworks for metal ion fluorescence sensing

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Chinese Chemical Letters 2024年第8期35卷 74-83页

作者： Deshuai zhen Chunlin liu Qiuhui Deng Shaoqi zhang Ningman Yuan Le Li Yu liu Hunan Key Laboratory of Typical Environment Pollution and Health Hazards School of Public HealthHengyang Medical SchoolUniversity of South ChinaHengyang 421001China State Key Laboratory of Chemo/Biosensing and Chemometrics School of Chemistry and Chemical EngineeringHunan UniversityChangsha 410082China

The concentration of metallic elements is closely associated with overall ***,the discharge of untreated industrial wastewater can lead to metal-containing pollutants entering the human body through the food chain,disrupting the organism’s homeostasis and posing a risk to human ***-valent organic framework materials(COFs)have emerged as a novel porous material for detecting or adsorbing metal ions due to their unique pore structure,topological structure and flexible *** paper summarizes the role,toxicity,and sources of metal ions related to human health,as well as the design,synthesis and performance of COFs fluorescent materials for detecting these *** inter-action mechanism of different fluorescent COFs and metal ions are ***,the remaining challenges and prospects of COFs fluorescence sensors are *** believe this review will be useful in directing the development of fluorescent COFs towards metal ions.

关键词： Covalent organic frameworks Metal ion Fluorescence Sensing Toxicity

EFFECT　OF　RARE　EARTH　ELEMENT　Er　ON　STRENGTHENING　OF　INTERFACE　OF　Ti（C，N）　BASED　CERMETS

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中国有色金属学会会刊：英文版 1996年第3期6卷 136-139页

作者： liu, N Cui, K Hu, zh ANHUI INST TECHNOL DEPT MAT SCI & ENGNHEFEI 230069PEOPLES R CHINA HUAzhONG UNIV SCI & TECHNOL WUHAN 430074PEOPLES R CHINA

ＥＦＦＥＣＴＯＦＲＡＲＥＥＡＲＴＨＥＬＥＭＥＮＴＥｒＯＮＳＴＲＥＮＧＴＨＥＮＩＮＧＯＦＩＮＴＥＲＦＡＣＥＯＦＴｉ（Ｃ，Ｎ）ＢＡＳＥＤＣＥＲＭＥＴＳ￥ＬｉｕＮｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎ... 详细信息

ＥＦＦＥＣＴＯＦＲＡＲＥＥＡＲＴＨＥＬＥＭＥＮＴＥｒＯＮＳＴＲＥＮＧＴＨＥＮＩＮＧＯＦＩＮＴＥＲＦＡＣＥＯＦＴｉ（Ｃ，Ｎ）ＢＡＳＥＤＣＥＲＭＥＴＳ￥ＬｉｕＮｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｅｒｉｎｇ，...

关键词： rare earth element Er Ti(C N) based cermets bending strength hardness

Credit risk prediction for small and medium enterprises utilizing adjacent enterprise data and a relational graph attention network

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Journal of Management Science and Engineering 2024年第2期9卷 177-192页

作者： Jiaxing Wang Guoquan liu Xiaobo Xu Xinjie Xing International Business School Suzhou Xi'an Jiaotong-Liverpool UniversitySuzhou215028China Financial Technology Research Institute Fudan UniversityShanghai200433China Management School University of LiverpoolChatham StreetLiverpoolL697ZHUK

Credit risk prediction for small and medium enterprises(SMEs)has long posed a complex research *** approaches have primarily focused on enterprise-specific variables,but these models often prove inadequate when applied to SMEs with incomplete *** this innovative study,we push the theoretical boundaries by leveraging data from adjacent enterprises to address the issue of data *** strategy involves constructing an intricate network that interconnects enterprises based on shared managerial teams and business *** this network,we propose a novel relational graph attention network(RGAT)algorithm capable of capturing the inherent complexity in its topological *** doing so,our model enhances financial service providers'ability to predict credit risk even in the face of incomplete data from target *** experiments conducted using China's SMEs highlight the predictive proficiency and potential economic benefits of our proposed *** approach offers a comprehensive and nuanced perspective on credit risk while demonstrating the advantages of incorporating network-wide data in credit risk prediction.

关键词： Risk management SMEC redit risk Transactional data Graph neural network

MECHANICAL PROPERTIES AND MICROSTRUCTURES OF Ti(C,N) BASED CERMETS

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中国有色金属学会会刊：英文版 1996年第4期6卷 117-121页

作者： liu, N Hu, zh Cui, K liu, CL ANHUI INST TECHNOL DEPT MAT SCI & ENGNHEFEI 230069PEOPLES R CHINA HUAzhONG UNIV SCI & TECHNOL WUHAN 430074PEOPLES R CHINA BEIJING GEN RES INST IRON & STEEL BEIJING 100081PEOPLES R CHINA

ＭＥＣＨＡＮＩＣＡＬＰＲＯＰＥＲＴＩＥＳＡＮＤＭＩＣＲＯＳＴＲＵＣＴＵＲＥＳＯＦＴｉ（Ｃ，Ｎ）ＢＡＳＥＤＣＥＲＭＥＴＳ￥ＬｉｕＮｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｅｒｉ... 详细信息

ＭＥＣＨＡＮＩＣＡＬＰＲＯＰＥＲＴＩＥＳＡＮＤＭＩＣＲＯＳＴＲＵＣＴＵＲＥＳＯＦＴｉ（Ｃ，Ｎ）ＢＡＳＥＤＣＥＲＭＥＴＳ￥ＬｉｕＮｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｅｒｉｎｇ，ＡｎｈｕｉＩｎｓｔｉｌｕｔｅ...

关键词： Ti(C,N) based cermets mechanical properties microstructure

A telomere-to-telomere genome assembly of zhonghuang 13,a widely-grown soybean variety from the original center of Glycine max

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The Crop Journal 2024年第1期12卷 142-153页

作者： Anqi zhang Tangchao Kong Baiquan Sun Shizheng Qiu Jiahe Guo Shuyong Ruan Yu Guo Jirui Guo zhishuai zhang Yue liu zheng Hu Tao Jiang Yadong liu Shuqi Cao Shi Sun Tingting Wu Huilong Hong Bingjun Jiang Maoxiang Yang Xiangyu Yao Yang Hu Bo liu Tianfu Han Yadong Wang Center for Bioinformatics School of Computer Science and TechnologyHarbin Institute of TechnologyHarbin 150001HeilongjiangChina Ministry of Agriculture Key Laboratory of Soybean Biology(Beijing) Institute of Crop SciencesChinese Academy of Agricultural SciencesBeijing 100081China National Key Facility for Crop Gene Resources and Genetic Improvement Institute of Crop SciencesChinese Academy of Agricultural SciencesBeijing 100081China

Soybean(Glycine max)stands as a globally significant agricultural crop,and the comprehensive assembly of its genome is of paramount importance for unraveling its biological characteristics and evolutionary ***,previous soybean genome assemblies have harbored gaps and incompleteness,which have constrained in-depth investigations into ***,we present Telomere-to-Telomere(T2T)assembly of the Chinese soybean cultivar zhonghuang 13(zh13)genome,termed zh13-T2T,utilizing PacBio Hifi and ONT ultralong *** employed a multi-assembler approach,integrating Hifiasm,NextDenovo,and Canu,to minimize biases and enhance assembly *** assembly spans 1,015,024,879 bp,effectively resolving all 393 gaps that previously plagued the reference *** annotation efforts identified 50,564 high-confidence protein-coding genes,707 of which are ***13-T2T revealed longer chromosomes,421 not-aligned regions(NARs),112 structure variations(SVs),and a substantial expansion of repetitive element compared to earlier ***,we identified 25.67 Mb of tandem repeats,an enrichment of 5S and 48S rDNAs,and characterized their genotypic *** summary,we deliver the first complete Chinese soybean cultivar T2T *** comprehensive annotation,along with precise centromere and telomere characterization,as well as insights into structural variations,further enhance our understanding of soybean genetics and evolution.

关键词： Soybean Telomere-to-Telomere assembly zhonghuang 13 Structure variations

Gapless Genome Assembly of zh8015 and Preliminary Multi-Omics Analysis to Investigate zh8015's Responses Against Brown Planthopper Infestation

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Rice science 2024年第3期31卷 317-327,I0042-I0045页

作者： LI Dian DUAN Wenjing liu Qun’en WU Weixun zhAN Xiaodeng SUN Lianping zhANG Yingxin CHENG Shihua State Key Laboratory of Rice Biology and Breeding China National Rice Research InstituteHangzhou 310006China

Accurate genomic information is essential for advancing genetic breeding research in specific rice *** study presented a gapless genome assembly of the indica rice cultivar zhonghui 8015(zh8015)using Pac Bio HiFi,Hi-C,and ONT(Oxford Nanopore Technologies)ultra-long sequencing technologies,annotating 43037 gene ***,utilizing this genome along with transcriptomic and metabolomic techniques,we explored zh8015's response to brown planthopper(BPH)*** transcriptomic sampling indicated significant changes in gene expression levels around 48 h after BPH *** analysis revealed particularly significant alterations in genes related to reactive oxygen species scavenging and cell wall *** results demonstrated marked increases in levels of several monosaccharides,which are components of the cell wall and dramatic changes in flavonoid *** association analysis identified differentially expressed genes associated with key metabolites,shedding light on zh8015's response to BPH *** summary,this study constructed a reliable genome sequence resource for zh8015,and the preliminary multi-omics results will guide future insect-resistant breeding research.

关键词： brown planthopper gapless genome genome assembly multi-omics Nilaparvata lugens rice

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蜂蜜甜米酒的研制

蜜蜂杂志 2024年第6期44卷 17-21页

作者：刘彩珍付志英福建农业职业技术学院

以糯米和蜂蜜为主要原料酿制蜂蜜甜米酒，采用正交实验法以蜂蜜甜米酒的感官得分为指标，对其酿制过程中蜂蜜、酒曲以及纯净水三者的添加量进行优化，正交分析结果显示当三者添加量依次为：蜂蜜15.0 g、酒曲1.5 g、纯净水80.0 mL时最佳... 详细信息

以糯米和蜂蜜为主要原料酿制蜂蜜甜米酒，采用正交实验法以蜂蜜甜米酒的感官得分为指标，对其酿制过程中蜂蜜、酒曲以及纯净水三者的添加量进行优化，正交分析结果显示当三者添加量依次为：蜂蜜15.0 g、酒曲1.5 g、纯净水80.0 mL时最佳，经验证实验在最佳工艺参数下酿制出的蜂蜜甜米酒酒精度6.85，感官评分均值为88.7，与正交实验结果相一致。

关键词：蜂蜜糯米发酵工艺米酒

DYNAMIC ANALYSIS OF ARREST OF BUCKLE PROPAGATION ON A BEAM ON A NONLINEAR ELASTIC FOUNDATION BY FEM

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Acta Mechanica Solida Sinica 1997年第1期10卷 28-30,32-35页

作者： Zou, SZ Huang, YY liu, zh Qian, Q SHASHI UNIV SHASHI 434000PEOPLES R CHINA HUAzhONG UNIV SCI & TECHNOL WUHAN 430074PEOPLES R CHINA ACAD SINICA INST MECHBEIJING 100080PEOPLES R CHINA

Based on the dynamic governing equation of propagating buckle on a beam on a nonlinear elastic foundation, this paper deals with an important problem of buckle arrest by combining the FEM with a time integration technique. A new conclusion completely different from that by the quasi-static analysis about the buckle arrestor design is drawn. This shows that the inertia of the beam cannot be ignored in the analysis under consideration, especially when the buckle propagation is suddenly stopped by the arrestors.

关键词： buckle propagation arrest of buckle beam on a nonlinear foundation finite element method