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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

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

On equidistribution theorem for multi-sequences of holomorphic line bundles

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Science china mathematics 2024年

作者： Manli Liu Weixiong Mai Guokuan Shao Department of mathematics South China Agricultural University Macao center for mathematical sciences Macau University of Science and Technology school of mathematics (Zhuhai) Sun Yat-sen University

Given several sequences of Hermitian holomorphic line bundles {(Lkp, hkp)}p∞=1, we establish the distribution of common zeros of random holomorphic sections of Lkpwith respect to singular measures. We also study the ...

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The influence of silica on reaction rates and molecular hydrogen(H_(2))generation during olivine hydrothermal alteration

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Science china Earth sciences 2024年第1期67卷 222-233页

作者： Ruifang HUANG Weidong SUN Xing DING Yusheng ZHAO Yibing LI Xiuqi SHANG CAS Key Laboratory of Ocean and Marginal Sea Geology South China Sea Institute of OceanologyChinese Academy of SciencesGuangzhou 510301China SUSTech Academy for Advanced interdisciplinary studies Southern University of Science and TechnologyShenzhen 518055China center of Deep Sea research Institute of OceanologyChinese Academy of SciencesQingdao 266071China State Key Laboratory of Isotope Geochemistry Guangzhou Institute of GeochemistryChinese Academy of SciencesGuangzhou 510640China Institue of Geology Chinese Academy of Geological SciencesBeijing 100037China

Hydrothermal alteration of olivine greatly influences geodynamics and the recycling of volatiles(such as water and carbon)in subduction *** is an important component of geological fluids,and its influence on the hydrothermal alteration of olivine remains poorly *** this study,we performed experiments at 300–515℃ and 3.0 kbar(1 bar=10^(5)Pa)by reacting well homogenized mixtures of olivine and silica powders with saline solutions(0.5 mol L^(−1)NaCl).Silica greatly influences the reaction pathways,reaction rates,and molecular hydrogen(H_(2))formation during olivine hydrothermal *** experiments at 300℃ and 3.0 kbar with mixtures of olivine and 10 wt%silica,olivine was replaced by serpentine and *** proportions of serpentine and talc were determined according to standard curves based on infrared spectroscopy *** 6.5%serpentine and 12%talc were produced after an experimental duration of 7 days,which had no change after a longer period(14 days).Compared to the kinetics in silica-free systems,the rates of olivine hydrothermal alteration in experiments with 10 wt%silica are much *** overall reaction is:4.5Forsterite+5.5SiO_(2),aq+4H_(2)O=Serpentine+*** the addition of more silica(20 wt%and 40 wt%),olivine was transformed into *** rates of reaction were much faster,e.g.,for experiments with olivine and 20 wt%silica,43%of talc was produced after 14 days,which increased to 77%for experiments with 40 wt%silica over the same *** overall reaction is:3Forsterite+5SiO_(2),aq+2H_(2)O=*** experiments at 400–505℃ and 3.0 kbar,the promoting effect of silica on olivine hydrothermal alteration was also observed,which is closely associated with a decrease in Gibbs free energies of olivine hydrothermal *** 300℃ and 3.0 kbar,silica decreased H_(2)formed during olivine hydrothermal alteration by around an order of magnitude,resulting in an increase in oxygen *** on measured H_(2),we calibrated ox

关键词： Olivine hydrothermal alteration Silica Serpentinization Hydrogen Serpentine

Long-term changes in radial growth of seven tree species in the mixed broadleaf-Korean pine forest in Northeast china:Are deciduous trees favored by climate change?

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Journal of Forestry research 2024年第5期35卷 63-77页

作者： Xiufang Gong Danyang Yuan Liangjun Zhu Zongshan Li Xiaochun Wang National Engineering Laboratory for applied Technology of Forestry and Ecology in south china College of Life Science and TechnologyCentral South University of Forestry and TechnologyChangsha 410004People’s Republic of China center for Ecological research and Key Laboratory of Sustainable Forest Ecosystem Management-Ministry of Education School of ForestryNortheast Forestry UniversityHarbin 150040People’s Republic of China State Key Laboratory of Urban and Regional Ecology Research Center for Eco-Environmental SciencesChinese Academy of SciencesBeijing 100085People’s Republic of China

The role of the temperate mixed broadleaf-Korean pine forest(BKF)in global biogeochemical cycles will depend on how the tree species community responds to climate;however,species-specific responses and vulner-abilities of common trees in BKF to extreme climates are poorly *** we used dendrochronological meth-ods to assess radial growth of seven main tree species(Pinus koraiensis,Picea jezoensis,Abies nephrolepis,Fraxinus mandshurica,Phellodendron amurense,Quercus mongolica,and Ulmus davidiana)in an old-growth BKF in response to climate changes in the Xiaoxing’an Mountains and to improve predictions of changes in the tree species *** in most months and winter precipita-tion significantly negatively affected growth of *** and ***,but positively impacted growth of *** and the broadleaf species,especially ***-rica and *** and relative humidity in June significantly positively impacted the growth of most tree *** positive effect of the temperature during the previous non-growing season(PNG)on growth of *** and *** strengthened significantly with rapid warming around 1981,while the impact of PNG temperature on the growth of *** and *** changed from significantly negative to weakly negative or positive at this *** negative response of radial growth of *** and *** to precipitation during the growing season gradually weakened,and the negative response to PNG precipitation was *** the studied species,*** was the most resistant to drought,and *** recovered the best after extreme *** davidiana,*** and *** were more resistant to extreme cold than the other *** warming generally exacerbated the opposite growth patterns of conifer(decline)and broadleaf(increase)*** broadleaf tree species in the old-growth BKF probably will gradually become dominan

关键词： Tree rings Extreme climate Resistance and recovery Broad-leaved and Korean pine mixed forest

Influence of erbium addition on microstructure and performances of AlSi10Mg alloy prepared by selective laser melting

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Journal of Rare Earths 2024年第10期42卷 1988-1994页

作者： Bin Chen Fuzhu Wang Shiming Ren Peng Xia Zhipeng Wang Jianfei Hao Zhiping Chen Runxia Li Hongxiang Jiang research Institute of interdisciplinary Science & school of Materials Science and Engineering Dongguan University of Technology College of Materials Science and Engineering Shenzhen University Shi-Changxu Innovation center for Advanced Materials Institute of Metal ResearchChinese Academy of Sciences school of Materials Science and Engineering University of Science and Technology of China

The effect of rare earth addition on the microstructure and mechanical performances of as-cast and wrought Al alloys has been attracting increasing attention *** earth addition has great potential in modifying the structure and improving the properties of ***,there are currently few reports about the effect of rare earth addition on the microstructure and performances of Al alloys prepared via selective laser ***,AlSi10Mg alloys were manufactured using selective laser melting,and the effect of Er addition was *** results indicate that Er addition leads toα-Al refinement and modifies the minority Si *** formation of the Al3Er phase induced by Er addition enhances the stren gth of the *** of the Si phase also increases *** strategy can help improve the mechanical performance of alum inum alloys prepared via selective laser melting.

关键词： Aluminum alloy Er Microstructure Rare earths Selective laser melting Tensile performance

Feasibility study of the photonuclear reaction cross section of medical radioisotopes using a laser Compton scattering gamma source

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Nuclear Science and Techniques 2024年第9期35卷 168-177页

作者： Yu-Ning Gu Wei-Juan Zhao Xi-Guang Cao Yu-Xuan Yang Ting-Kai Ma Zheng-Li Liao Fei-Long Xu Yu-Gang Ma school of Physics and Microeletronics Zhengzhou UniversityZhengzhou 450001China Shanghai Advanced research Institute Chinese Academy of SciencesShanghai 201210China Shanghai Institute of applied Physics Chinese Academy of SciencesShanghai 201800China University of Chinese Academy of sciences Beijing 100049China school of Nuclear Science and Technology University of South ChinaHengyang 421001China Key Laboratory of Nuclear Physics and Ion-beam Application(MOE) Institute of Modern PhysicsFudan UniversityShanghai 200433China Shanghai research center for Theoretical Nuclear Physics NSFC and Fudan UniversityShanghai 200438China

In recent years,the gap between the supply and demand of medical radioisotopes has increased,necessitating new methods for producing medical *** reactions based on gamma sources have unique advantages in terms of producing high specific activity and innovative medical ***,the lack of experimental data on reaction cross sections for photonuclear reactions of medical radioisotopes of interest has severely limited the development and production of photonuclear transmutation medical *** this study,the entire process of the generation,decay,and measurement of medical radioisotopes was simulated using online gamma activation and offline gamma measurements combined with a shielding gamma-ray *** on a quasi-monochromatic gamma beam from the Shanghai Laser Electron Gamma Source(SLEGS),the feasibility of this measurement of production cross section for surveyed medi-cal radioisotopes was simulated,and specific solutions for measuring medical radioisotopes with ultra-low production cross sections were *** feasibility of this method for high-precision measurements of the reaction cross section of medical radioisotopes was demonstrated.

关键词： Medical radioisotope Photonuclear reaction GEANT4 Shanghai Laser Electron Gamma Source(SLEGS) Low-background gamma-ray spectrometer

Nanomedicine-mediated immunogenic cell death and its combination with immune checkpoint blockade therapy

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Science china(Technological sciences) 2024年第8期67卷 2350-2362页

作者： CHEN JunBin ZHANG YuXi SU Miao ZHU YueQiang YANG XianZhu school of Biomedical sciences and Engineering South China University of TechnologyGuangzhou International CampusGuangzhou 511442China National Engineering research center for Tissue Restoration and Reconstruction Guangdong Provincial Key Laboratory of Biomedical EngineeringKey Laboratory of Biomedical Materials and Engineering of the Ministry of EducationSouth China University of TechnologyGuangzhou 510006China

Cancer immunotherapies, which train the natural immune system to specifically kill tumor cells while sparing the healthy cells,have helped revolutionize cancer treatments and demonstrated promising clinical therapeutic benefits for decades. However, the therapeutic outcome of immunotherapies, even for the most successful immune checkpoint blockade(ICB) therapy, remains unsatisfactory in the clinical practice, mainly due to the low immunogenicity of solid tumors and its immunosuppressive tumor microenvironment(TME). Notably, several cancer treatment modalities, including chemotherapy, radiotherapy, and phototherapy, have been revealed to evoke tumor immunogenicity and reverse immunosuppressive TME via inducing immunogenic cell death(ICD) of tumor cells, which synergistically sensitized tumors to ICB therapy. Nanomedicines have been extensively applied to augment ICD-inducing treatment modalities and potentiate ICB therapeutic efficacy therapy due to the opportune convergence of immunotherapy and nanotechnology. Here, we discuss the recent advances in nanomedicine-mediated ICD and its combination with ICB therapy.

关键词： cancer immunotherapy nanomedicine immunogenic cell death immune checkpoint blockade

The appearance of cytoplasmic cytochrome C precedes apoptosis during Drosophila salivary gland degradation

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Insect Science 2024年第1期31卷 157-172页

作者： Shihui Long Wenxin Cao Yongyu Qiu Ruohan Deng Jiali Liu Lidan Zhang Renke Dong Fengxin Liu Sheng Li Haigang Zhao Na Li Kang Li Guangdong Provincial Key Laboratory of Insect Developmental Biology and applied Technology Institute of Insect Science and TechnologySchool of Life SciencesSouth China Normal UniversityGuangzhouChina Guangdong Laboratory for Lingnan Modern Agriculture South China Agricultural UniversityGuangzhouChina Guangmeiyuan R&D center Guangdong Provincial Key Laboratory of Insect Developmental Biology and Applied TechnologySouth China Normal UniversityMeizhouGuangdong ProvinceChina school of Food Science and Engineering South China University of TechnologyGuangzhouChina ChemPartner PharmaTech Co. LtdJiangmenGuangdong ProvinceChina

Apoptosis is an important process for organism development that functions to eliminate cell damage,maintain homeostasis,and remove obsolete tissues during *** mammals,apoptosis is accompanied by the release of cytochrome C(Cyt-c)from mitochondria to the ***,whether this process is conserved in the fruit fly,Drosophila melanogaster,remains *** this study,we discovered that during the degradation of Drosophila salivary gland,the transcription of mitochondria apoptosis factors(MAPFs),Cyt-c,and death-associated APAF1-related killer(Dark)encoding genes are all upregulated antecedent to initiator and effector caspases encoding *** proteins Cyt-c and the active caspase 3 appear gradually in the cytoplasm during salivary gland ***,the Cyt-c protein colocates with mito-GFP,the marker indicating cytoplasmic mitochondria,and the change in mitochondrial membrane potential coincides with the appearance of Cyt-c in the ***,impeding or promoting 20E-induced transcription factor E93 suppresses or enhances the staining of Cyt-c and the active caspase 3 in the cytoplasm of salivary gland,and accordingly decreases or increases the mitochondrial membrane potential,*** research provides evidence that cytoplasmic Cyt-c appears before apoptosis during Drosophila salivary gland degradation,shedding light on partial conserved mechanism in apoptosis between insects and mammals.

关键词： active caspase 3 apoptosis Cyt-c Drosophila salivary gland