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Improvement of High-Speed Detection Algorithm for Nonwoven Material Defects Based on Machine Vision 被引量:2
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作者 LI Chengzu WEI Kehan +4 位作者 ZHAO Yingbo TIAN Xuehui QIAN Yang ZHANG Lu WANG Rongwu 《Journal of Donghua University(English Edition)》 CAS 2024年第4期416-427,共12页
Defect detection is vital in the nonwoven material industry,ensuring surface quality before producing finished products.Recently,deep learning and computer vision advancements have revolutionized defect detection,maki... Defect detection is vital in the nonwoven material industry,ensuring surface quality before producing finished products.Recently,deep learning and computer vision advancements have revolutionized defect detection,making it a widely adopted approach in various industrial fields.This paper mainly studied the defect detection method for nonwoven materials based on the improved Nano Det-Plus model.Using the constructed samples of defects in nonwoven materials as the research objects,transfer learning experiments were conducted based on the Nano DetPlus object detection framework.Within this framework,the Backbone,path aggregation feature pyramid network(PAFPN)and Head network models were compared and trained through a process of freezing,with the ultimate aim of bolstering the model's feature extraction abilities and elevating detection accuracy.The half-precision quantization method was used to optimize the model after transfer learning experiments,reducing model weights and computational complexity to improve the detection speed.Performance comparisons were conducted between the improved model and the original Nano Det-Plus model,YOLO,SSD and other common industrial defect detection algorithms,validating that the improved methods based on transfer learning and semi-precision quantization enabled the model to meet the practical requirements of industrial production. 展开更多
关键词 defect detection nonwoven materials deep learning object detection algorithm transfer learning halfprecision quantization
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Mapping Theorems on Quasi-Nagata Spaces
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作者 夏省祥 于正文 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期57-61,共5页
In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping pres... In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping preserve quasi-Nagata spaces, and finite-to-one open mappings don't preserve quasi-Nagata spaces. 展开更多
关键词 quasi-Nagata space k-semi-stratifiable space sequencecovering mapping
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A Common Fixed Point Theorem for Weakly Compatible Mappingsin Fuzzy Semi-Metric Space
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作者 U. Rajopadhyaya K. Jha P. Kumam 《Journal of Mathematics and System Science》 2014年第11期720-724,共5页
In this paper, we establish a common fixed pointtheorem for three pairs of self-mappings in fuzzy semi-metric space which improves and extends similar known results in the literature.
关键词 Fuzzy Semi-metric space weakly compatible mapping common fixed point.
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Effect of Mesa Size on Thermal Characteristics of Ver tical-cavity Surface-emitting Lasers
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作者 HOU Shi-hua ZHAO Ding +2 位作者 SUN Yong-wei TAN Man-qing CHEN Liang-hui 《Semiconductor Photonics and Technology》 CAS 2005年第3期170-173,共4页
The effect of mesa size on th e thermal characteristics of etched mesa vertical-cavity surface-emitting lase rs(VCSELs) is studied. The numerical results show that the mesa size of the top mirror strongly influences t... The effect of mesa size on th e thermal characteristics of etched mesa vertical-cavity surface-emitting lase rs(VCSELs) is studied. The numerical results show that the mesa size of the top mirror strongly influences the temperature distribution inside the etched mesa V CSEL. Under a certain driving voltage, with decreasing mesa size, the location o f the maximal temperature moves towards the p-contact metal, the temperature in the core region of the active layer rises greatly, and the thermal characterist ics of the etched mesa VCSELs will deteriorate. 展开更多
关键词 Vertical-cavity surface-emitting lasers Etched mesa Mesa size Temperature distribution Location of the maximal temperature Finite difference method
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Experimental study of traffic-induced vibration of the new CCTV headquarters building
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作者 ZHANG Nan XIA He +2 位作者 ZHAN Jia-wang YAN Hui-chun XU You-lin 《Journal of Civil Engineering and Architecture》 2009年第3期31-38,共8页
The traffic-induced vibrations of the new CCTV Headquarters building are studied stages. In the first stage when the through experiments in two 30th floor of the northwest tower and the 38th floor of the southeast tow... The traffic-induced vibrations of the new CCTV Headquarters building are studied stages. In the first stage when the through experiments in two 30th floor of the northwest tower and the 38th floor of the southeast tower were finished, the traffic flows on the roads surrounding the building were investigated, and 27 setups of accelerations were measured at the roadside, on the pile cap and on the 9th floor. In the second stage when the whole steel structure was completed, l 5 setups of accelerations were measured at the roadside, on the pile cap and on the 37th and the 48th floors. The accelerations of the building under different traffic flows, in different positions are analyzed in both time domain and frequency domain. The damping ratios are estimated by the upgraded half-power bandwidth method. 展开更多
关键词 dynamic experiment traffic-induced vibration power spectrum half-power bandwidth method
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Temperature-dependent aggregation of bio-surfactants in aqueous solutions of galactose and lactose:Volumetric and viscometric approach 被引量:1
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作者 S.Chauhan Vivek Sharma +1 位作者 Maninder Kaur Poonam Chaudhary 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第5期1119-1131,共13页
Modulation in the aggregation behavior of bio-surfactants (bile salts), sodium cholate (NaC) and sodium deoxycholate (NaDC) in aqueous solutions of carbohydrates (galactose and lactose) have been investigated ... Modulation in the aggregation behavior of bio-surfactants (bile salts), sodium cholate (NaC) and sodium deoxycholate (NaDC) in aqueous solutions of carbohydrates (galactose and lactose) have been investigated by measuring the density (ρ), speed of sound (u) and viscosity (η) of the mixtures at different temperatures 293.15, 298.15, 303.15, 308.15 and 313.15 K. The density and speed of sound data have been used to calculate various volumetric and compressibility parameters such as apparent molar volume (Vφ), isentropic compressibil- ity (κs), apparent molar adiabatic compression (κs,φ) to get a better insight into the micellization mechanism of bile salts. Further, the viscosity data have been studied in the light of relative viscosity (ηr) and viscous relaxation time (τ). Some derived parameters such as free volume (νf), internal pressure (πi) and molar cohesive energy (MCE) of NaC and NaDC in aqueous solution of saccharides have also been calculated from viscosity data in con- junction with density and speed of sound values. All the calculated and derived parameters provide qualitative information regarding the nature of interactions i.e. solute-solute, solute-solvent and solvent-solvent in the solution. 展开更多
关键词 Density Speed of sound Apparent molar volumelsentropic compressibility Viscosity Relative viscosity
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基于MV-代数的度量型模糊粗糙集
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作者 熊兴国 路玲霞 《山东大学学报(理学版)》 CAS CSCD 北大核心 2019年第11期81-89,共9页
研究基于多值逻辑MV-代数的度量型模糊粗糙集模型,给出■-半度量和通常的实数值半度量的关系,证明■-半度量和■-相似关系的等价性,研究■-半度量诱导的模糊粗糙近似算子的性质及其可定义集的性质。
关键词 MV-代数 ■-半度量 ■-相似关系 模糊粗糙近似算子 可定义集
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Impact of ENSO events on the interannual variability of Hadley circulation extents in boreal winter 被引量:2
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作者 GUO Yi-Peng LI Jian-Ping 《Advances in Climate Change Research》 SCIE CSCD 2016年第1期46-53,共8页
The interannual variability of the boreal winter Hadley circulation extents during the period of 1979e2014 and its links to El Ni^no-Southern Oscillation(ENSO) were investigated by using reanalysis datasets. Results s... The interannual variability of the boreal winter Hadley circulation extents during the period of 1979e2014 and its links to El Ni^no-Southern Oscillation(ENSO) were investigated by using reanalysis datasets. Results showed that the El Ni^no(La Ni^na) events can induce the shrinking(expansion) of Hadley circulation extent in the Southern Hemisphere. For the Northern Hemisphere, El Ni^no(La Ni^na) mainly leads to shrinking(expansion) of the Hadley circulation extent in the middle and lower troposphere and expansion(shrinking) of the Hadley circulation extent in the upper troposphere. The ENSO associated meridional temperature gradients have close relationship with the Hadley circulation extents in both Hemispheres. But in the Northern Hemisphere, the ENSO associated eddy momentum flux divergence plays more important role in affecting the Hadley circulation extent than the meridional temperature gradient because of the small local Rossby number. In the Southern Hemisphere, as the ENSO induced eddy momentum flux divergence is small, the meridional temperature gradient dominates the change of the Hadley circulation extent. 展开更多
关键词 Hadley circulation Extents Meridional temperature gradient ENSO
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Novel Fiber Optic Temperature Sensor with Full Compensation Based on Optical Absorption
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作者 WANGJue WANGWei-min 《Semiconductor Photonics and Technology》 CAS 2000年第4期236-241,共6页
A novel system configuration of fiber optic sensor based on optical abso rption is proposed. Several compensation measures are discussed. A simulated exp eriment is designed and the output curve of system is given. Th... A novel system configuration of fiber optic sensor based on optical abso rption is proposed. Several compensation measures are discussed. A simulated exp eriment is designed and the output curve of system is given. The experiment al result shows that these compensation measures are effective on dynamic distu rbances which are caused by background light and optical fiber bend. In addition , the drifts in the light source intensity, fiber losses, and photodetector effi ciency are also compensated. 展开更多
关键词 GaAs semiconductor Temperature measurement Fiber optic sensor REFLECTION COMPENSATION
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Characterization of cloud microphysical properties in different cloud types over East Asia based on CloudSat/CALIPSO satellite products
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作者 Hao Miao Xiaocong Wang +1 位作者 Yimin Liu Guoxiong Wu 《Atmospheric and Oceanic Science Letters》 CSCD 2021年第5期1-7,共7页
By using four-year CloudSat/CALIPSO satellite data,the authors investigated cloud microphysical properties in three representative regions over East Asia,where models commonly suffer from great biases in simulations o... By using four-year CloudSat/CALIPSO satellite data,the authors investigated cloud microphysical properties in three representative regions over East Asia,where models commonly suffer from great biases in simulations of cloud radiative effects.This study aims to provide an observational basis of cloud microphysical properties for the modeling community,against which the model simulations can be validated.The analyzed cloud microphysical properties include mass,number concentration,and effective radius for both liquid and ice phases.For liquid clouds,both cloud mass and number concentration gradually decrease with height,leading to the effective radius being nearly uniformly spread in the range of 8-14μm.For ice clouds,the cloud mass and effective radius decrease with height,whereas the number concentration is nearly uniform in the vertical.The cloud microphysical properties show remarkable differences among different cloud types.Cloud mass and number concentration are larger in cumuliform clouds,whereas smaller in cirrus clouds.By comparing cloud properties among the Tibetan Plateau,East China,and the western North Pacific,results show the values are overall smaller for liquid clouds but larger for ice clouds over the Tibetan Plateau. 展开更多
关键词 Cloud mass Number concentration Effective radius Cloud types CloudSat/CALIPSO Tibetan Plateau
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Optically Powered Temperature Measuring Instrument for Big Rotor
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作者 ZHENG Dezhong(Yanshan University, Qinhuandao 066004, CHN) 《Semiconductor Photonics and Technology》 CAS 1997年第1期35-39,共5页
Abstract: A micro - power consumption non - contact temperature measuring instrument for big rotor is introduced. As it solves very well the signal coupling under high speed rotation and power supply problem for probe... Abstract: A micro - power consumption non - contact temperature measuring instrument for big rotor is introduced. As it solves very well the signal coupling under high speed rotation and power supply problem for probe, the instrument can realize persistent on - line temperature measurement for big rotor drived by the ordinary light transmitted by optical fiber under the room light. 展开更多
关键词 Non - contact Measurement Optical Fiber ROTOR SemiconductorThermistor
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Analytical Model for Calculating Trapped Charge in a-Si:H and Its Relative Error Analysis
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作者 WAN Xinheng XU Zhongyang ZOU Xuecheng(Huanzhong Univ.of Sci.and Tech.,Wuhan 430074,CHN ) 《Semiconductor Photonics and Technology》 CAS 1996年第2期84-89,共6页
Using a Taylor series expansion for the Fermi-Dirac occupation function,an accurate analytical model is developed for calculating the trapped-charge density in a-Si: H considering deep and tail states simultaneously w... Using a Taylor series expansion for the Fermi-Dirac occupation function,an accurate analytical model is developed for calculating the trapped-charge density in a-Si: H considering deep and tail states simultaneously without simplification.This is followed by the investigation of the relative errors of the localized trapped charge density in a-Si:H at all temperatures as a function of the quasi-Fermi level in the band gap calculated from three published analytical models and our above model. The results suggest that the relative errors of all these models increase notably as Efn is very closed to Ec(e.g.,-0.01 eV< Efn-Ec).It is also noticed that the relative errors of all above models become larger normally the greater is the value of temperature.A detailed analysis indicates that each model has its own applicability with various temperatures and various positions of the Fermi level. 展开更多
关键词 Amorphous Semiconductors Amorphous Silicon Films Density Measurement Error Analysis
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Effect of Water Salinity on the Spatial Variability of Soil and Plant Parameters
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作者 Ali Ajeel Ali Saeed +3 位作者 Giovanna Dragonetti Alessandro Comegna Nicola Lamaddalena AntonioCoppola 《Journal of Life Sciences》 2015年第11期549-555,共7页
Spatial pattern and interdependence of different soil and plant parameters were examined in green bean field experiment carried out at the Mediterranean Agronomic Institute of Bari (MAIB), Italy. The study aimed to ... Spatial pattern and interdependence of different soil and plant parameters were examined in green bean field experiment carried out at the Mediterranean Agronomic Institute of Bari (MAIB), Italy. The study aimed to identify the spatial distribution of soil and plant parameters and their relationship at transects scale. The experiment consisted of three transects of 30 m length and 4.2 m width, irrigated with three different salinity levels (1 dSm"1, 3 dSm1, 6 dSml). Soil measurements (electrical conductivity and soil water content) were monitored along each transect in 24 sites, using TDR probe installed vertically at soil surface. Water storage was measured by using Diviner sensor for calculating directly the evapotranspiration fluxes along the whole soil profile under the different salinity levels imposed during the experiment. In the same 24 sites, crop monitoring involved measurements of Leaf Area Index (LAI), Osmotic Potential (OP), Root length Density (RID) and Evapotranspiration fluxes (ET). Soil and plant properties were analyzed using both classical and geostatistical methods which included descriptive statistics, semivariograms and cross-semivariograms. Results indicated that moderate to large spatial variability existed across the field for soil and plant parameters, especially under the 6 dSm1 salinity treatment. A relatively satisfactory fit of the experimental cross-semivariogram was obtained for the 6 dS1, thus indicating similar spatial structures of the pairs of compared variables. By contrast, the experimental cross-semivariograms observed under the 3 dS~ treatment indicated no significant correlation structure between the compared variables. Overall, the results observed in the 3 dSm-1 were not significantly different from those obtained in the 1 dSm-1 transect and suggested a general insensitivity of the crop response to those levels of salinity. 展开更多
关键词 Soil and crop properties spatial variability SEMIVARIOGRAM cross-semivariogram.
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Multistage Stack with Multiple Pore Radii Applying the Temperature Gradient to a Thermoacoustic Engine
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作者 Kohei Yanagimoto Shin-ichi Sakamoto +2 位作者 Yosuke Nakano Kentaro Kuroda Yoshiaki Watanabe 《Journal of Energy and Power Engineering》 2013年第8期1440-1447,共8页
Conventional thermoacoustic engines have a stack pore radius that is almost constant in the axial direction. Hence, a thermoacoustic engine is expected to improve the energy conversion efficiency using a multistage st... Conventional thermoacoustic engines have a stack pore radius that is almost constant in the axial direction. Hence, a thermoacoustic engine is expected to improve the energy conversion efficiency using a multistage stack with multiple pore radii. The stack comprises several bundles of numerous narrow tubes with specified pore radii. The optimum pore radius of the stack is determined by the oscillation frequency and the temperature in the stack. Consequently, the suitable pore radius changes in the axial direction, because the temperature gradient exists along the stack axis. Therefore, a multistage stack with multiple pore radii is introduced, which achieves a desired optimum pore radius everywhere in the stack. The energy conversion efficiency of the multistage stack, which was studied experimentally for a straight-tube type thermoacoustic engine, was compared with that of a conventional single-stage stack. In these experiments, the improvement of the energy conversion efficiency was confirmed. A numerical method with the transmittance matrix to include the effect of a multistage stack was used, and good agreement between experimental and numerical results was obtained. The results make a future possibilities for stack design intended to higher thermoacoustic engine efficiency expect. 展开更多
关键词 Thermoacoustic phenomenon STACK MULTISTAGE pore radius energy conversion efficiency.
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Advances in single-particle detection for DNA sensing 被引量:2
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作者 Fei Ma Ming Ren Chun-yang Zhang 《Science China Chemistry》 SCIE EI CAS CSCD 2017年第10期1285-1292,共8页
Rapid, accurate and sensitive detection of particular DNA sequence is critical in fundamental biomedical research and clinical diagnostics. However, conventional approaches for DNA assay often suffer from cumbersome p... Rapid, accurate and sensitive detection of particular DNA sequence is critical in fundamental biomedical research and clinical diagnostics. However, conventional approaches for DNA assay often suffer from cumbersome procedures, long analysis time and insufficient sensitivity. Recently, single-particle detection technology has emerged as a powerful tool in the biosensing area due to its significant advantages of ultrahigh sensitivity, low sample-consumption and rapid analysis time. Especially, the introduction of novel nanomaterials has greatly promoted the development of single-particle detection and its applications for DNA sensing. In this review, we summarize the recent advance in single-particle detection strategies for DNA sensing, and focus mainly on metallic nanoparticle-and semiconductor quantum dot-based single-particle detection. We highlight the emerging trends in this field as well. 展开更多
关键词 single-particle detection DNA assay quantum dots metallic nanoparticles fluorescence resonance energy transfer
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A durable P2-type layered oxide cathode with superior low-temperature performance for sodium-ion batteries 被引量:3
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作者 Yong Li Yufeng Zhao +6 位作者 Xiaochen Feng Xuan Wang Qinhao Shi Jing Wang Juan Wang Jiujun Zhang Yanglong Hou 《Science China Materials》 SCIE EI CAS CSCD 2022年第2期328-336,共9页
To power large-scale energy storage systems,sodium-ion batteries(SIBs)must have not only high-energy density but also high performance under a low-temperature(LT)environment.P2-type manganese oxides with high specific... To power large-scale energy storage systems,sodium-ion batteries(SIBs)must have not only high-energy density but also high performance under a low-temperature(LT)environment.P2-type manganese oxides with high specific capacity are promising cathode candidates for SIBs,but their LT applications are limitedly explored.We proposed a P2-type Na_(0.67)Ni_(0.1)Co_(0.1)Mn_(0.8)O_(2) material with outstanding LT performance prepared through reasonable structure modulation.The material offers an excellent Na^(+) diffusion coefficient(approximately 10^(−9)-10^(−7.5) cm^(2) s^(−1))at−20℃,a superior LT discharge capacity of 147.4 mA h g^(−1) in the Na half-cell system,and outstanding LT full cell performance(energy density of 358.3 W h kg^(−1)).Various characterisations and density function theory calculations results show that the solid solution reaction and pseudocapacitive feature promote the diffusion and desolvation of Na+from the bulk electrode to interface,finally achieving superior electrochemical performance at LT. 展开更多
关键词 sodium-ion batteries P2-type layered oxides low temperature structure modulation pseudocapacitive feature
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Three-dimensional lithiophilic Cu@Sn nanocones for dendrite-free lithium metal anodes
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作者 Rui Wang Faxing Shi +4 位作者 Xin He Jinqiang Shi Tao Ma Song Jin Zhanliang Tao 《Science China Materials》 SCIE EI CAS CSCD 2021年第5期1087-1094,共8页
The uneven deposition of lithium(Li) on current collectors causes serious dendrite growth and volume expansion. Commercial foamed copper(Cu) current collectors are unsuitable for Li anodes because of their large volum... The uneven deposition of lithium(Li) on current collectors causes serious dendrite growth and volume expansion. Commercial foamed copper(Cu) current collectors are unsuitable for Li anodes because of their large volume and mass and lithiophobic nature. Herein, a three-dimensional(3 D) copper@tin(Cu@Sn) nanocone current collector with small volume, light weight, and lithiophilic nature was prepared by a simple electrodeposition method. The synergy of the nanoconical structure and lithiophilic Sn promotes the even deposition of Li and effectively inhibits the formation of Li dendrites. The resultant half batteries exhibit high Coulombic efficiency of 97.6% after 100 cycles at 1 mA cm^(-2), and the symmetrical Li battery demonstrates a prolonged lifespan of over 600 h at 1 mA cm^(-2). The full battery based on organic liquid electrolyte with LiFePO_(4) also exhibits a long lifespan of 550 cycles with high capacity retention of 95.1% at 1 C.Moreover, 3 D Cu@Sn nanocone-based solid-state batteries exhibit excellent electrochemical performance and show no decay after 500 cycles at 1 C. Our work provides a strategy for fabricating 3 D current collectors for high-energy-density Li metal batteries. 展开更多
关键词 lithium metal anode current collector 3D structure lithiophilic Cu@Sn nanocones
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Seasonal and interannual variations of ecosystem photosynthetic characteristics in a semi-arid grassland of Northern China 被引量:2
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作者 Cuihai You Yanbing Wang +5 位作者 Xingru Tan Bingwei Zhang Tingting Ren Boyu Chen Mengzhen Xu Shiping Chen 《Journal of Plant Ecology》 SCIE CSCD 2022年第5期961-976,共16页
The ecosystem apparent quantum yield(α),maximum rate of gross CO_(2) assimilation(Pmax)and daytime ecosystem respiration rate(R.),reflecting the physiological functioning of ecosystem,are vital photosynthetic paramet... The ecosystem apparent quantum yield(α),maximum rate of gross CO_(2) assimilation(Pmax)and daytime ecosystem respiration rate(R.),reflecting the physiological functioning of ecosystem,are vital photosynthetic parameters for the estimation of ecosystem carbon budget.Climatic drivers may affect photosynthetic parameters both directly and indirectly by altering the response of vegetation.However,the relative contribution and regulation pathway of environmental and physiological controls remain unclear,especially in semi-arid grasslands.We analyzed seasonal and interannual variations of photosynthetic parameters derived from eddy-covariance observation in a typical semi-arid grassland in Inner Mongolia,Northern China,over 12 years from 2006 to 2017.Regression analyses and a structural equation model(SEM)were adopted to separate the contributions of environmental and physiological effects.The photosynthetic parameters showed unimodal seasonal patterns and significantly interannual variations.Variations of air temperature(T,)and soil water content(SWC)drove the seasonal patterns of photosynthetic parameters,while SWC predominated their interannual variations.Moreover,contrasting with the predominant roles of T,onαand Ra,SWC explained more variance of Pmax than T,Results of SEM revealed that environmental factors impacted photosynthetic parameters both directly and indirectly through regulating physiological responses reflected by stomatal conductance at the canopy level.Moreover,leaf area index(LAl)directly affectedα,Pmax and R,and dominated the variation of Pmax.On the other hand,SWC influenced photosynthetic parameters indirectly through LAl and canopy surface conductance(gc).Our findings highlight the importance of physiological regulation on the photosynthetic parameters and carbon assimilation capacity,especially in water-limitedgrassland ecosystems. 展开更多
关键词 photosynthetic parameter water-limited grasslands eddy covariance carbon flux physiological regulation
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The convergence of Lax-Oleinik semigroup for time-periodic Lagrangian
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作者 LI Xia 《Science China Mathematics》 SCIE 2014年第2期343-352,共10页
In this article,the convergence of so-called Lax-Oleinik semigroup is studied for time-periodic Lagrangian systems when the degree of freedom is greater than 2.Under certain conditions,we show that the Lax-Oleinik sem... In this article,the convergence of so-called Lax-Oleinik semigroup is studied for time-periodic Lagrangian systems when the degree of freedom is greater than 2.Under certain conditions,we show that the Lax-Oleinik semigroup converges if the rotation vector is completely irrational.Removing such conditions,we will give another kind of convergence of the sequence Fc((x,s),(x′,s′+Tn)),the convergence of which is closely related to the Lax-Oleinik semigroup. 展开更多
关键词 Lax-Oleinik semigroup Lagrangian systems Hamilton-Jacobi equation
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GLOBAL SMOOTH SOLUTIONS FOR SEMILINEAR SCHRDINGER EQUATIONS WITH BOUNDARY FEEDBACK ON 2-DIMENSIONAL RIEMANNIAN MANIFOLDS 被引量:1
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作者 Li DENG Pengfei YAO 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第4期749-776,共28页
This paper considers the existence of global smooth solutions of semilinear schrSdinger equation with a boundary feedback on 2-dimensional Riemannian manifolds when initial data are small. The authors show that the ex... This paper considers the existence of global smooth solutions of semilinear schrSdinger equation with a boundary feedback on 2-dimensional Riemannian manifolds when initial data are small. The authors show that the existence of global solutions depends not only on the boundary feedback, but also on a Riemannian metric, given by the coefficient of the principle part and the original metric of the manifold. In particular, the authers prove that the energy of the system decays exponentially. 展开更多
关键词 Boundary feedback energy decay Riemannian metric semilinear schr6dinger equation.
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