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Non-existence of the nontrivial solution for a Sobolev type evolution inequality with nonlinear convolution term
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作者 SU Jiahui LIU Dengming 《中山大学学报(自然科学版)(中英文)》 北大核心 2025年第5期146-153,共8页
An evolution inequality of Sobolev type involving a nonlinear convolution term is considered.By using the nonlinear capacity method and the contradiction argument,the non-existence of the nontrivial local weak solutio... An evolution inequality of Sobolev type involving a nonlinear convolution term is considered.By using the nonlinear capacity method and the contradiction argument,the non-existence of the nontrivial local weak solution is proved. 展开更多
关键词 Sobolev type evolution inequality nonlinear convolution term nontrivial solution nonexistence
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Research on the English Translation Strategy of Qigong Terminology based on Hermeneutics
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作者 Liqin Wu Penghui Yu 《Journal of Contemporary Educational Research》 2025年第4期108-115,共8页
Qigong is an important part of traditional Chinese health preservation culture,and the accurate translation of its terms is of great significance for international communication.Currently,there are many deficiencies i... Qigong is an important part of traditional Chinese health preservation culture,and the accurate translation of its terms is of great significance for international communication.Currently,there are many deficiencies in the translation of Qigong terms,such as a lack of systematicity and inconsistent translations.Based on hermeneutics theory,this study analyzes the factors influencing the acceptance of Qigong term translations,and constructs an evaluation model for translation acceptance,covering three dimensions:culture,language,and readers.Accordingly,translation strategies are proposed,including culturally adaptive translation,optimization of language structure,reader stratification strategies,horizon fusion,and the hermeneutic circle,etc.The aim is to balance the cultural connotations and readers’acceptance,and to promote the international communication of Qigong culture. 展开更多
关键词 Qigong terms Translation strategies HERMENEUTICS ACCEPTANCE
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Unequal Exchange and Food Terms of Trade for China
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作者 Pedro Cango Fander FalconíBenítez Jesús Ramos-Martín 《Journal of Environmental & Earth Sciences》 2025年第3期99-111,共13页
This article aims to analyze the repercussions of food trade between China and various regions of the world to understand the dynamics of food flows and offer a novel perspective on the contemporary globalization proc... This article aims to analyze the repercussions of food trade between China and various regions of the world to understand the dynamics of food flows and offer a novel perspective on the contemporary globalization process.Understanding these flows involves analyzing the global production and commercialization of food and the effects of these movements on exporting and importing countries in economic terms and food security.The concept of unequal caloric exchange is applied to the case of China,which allows for an understanding of how its economic growth and participation in international trade have transformed its global and internal commercial dynamics by establishing links with self-sufficiency and the composition of its population’s diet.The results show that China is increasingly dependent on international markets for its food supply.From 1961 to 2021,food consumption in China has tripled in calories and experienced qualitative changes,with a reduction in high-quality carbohydrates and vegetable proteins and an increase in cereals,vegetable oils,alcohol,and vegetables.This dietary transformation is related to economic growth and greater dependence on international trade.From 1987 to 2022,China has shown a growing deficit in the food trade balance,with imports exceeding exports in volume,value,and calories,although it maintains favorable terms of trade.Food self-sufficiency has decreased from 95%in 1961 to 76%in 2022,and the diet has diversified,replacing traditional foods with products demanded in international trade. 展开更多
关键词 Unequal Exchange FOOD terms of Trade SELF-SUFFICIENCY China
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Translation Strategies for Chinese Cultural Terms in Academic Texts:A Case Study of“Jade Myth Belief and Chinese Spirit”
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作者 WANG Han-qing ZHAO Meng-yuan 《Journal of Literature and Art Studies》 2025年第4期324-328,共5页
This study investigates translation strategies for Chinese cultural terms in academic texts through a case study of Chapter 7 from“Jade Myth Belief and Chinese Spirit”.Using a qualitative research approach based on ... This study investigates translation strategies for Chinese cultural terms in academic texts through a case study of Chapter 7 from“Jade Myth Belief and Chinese Spirit”.Using a qualitative research approach based on cultural context framework and cognitive model,the study analyzes translation challenges and solutions in rendering cultural terms related to jade mythology and archaeological concepts.The research identifies three primary translation strategies:transliteration with annotation,domestication with explanation,and cognitive-based translation.The findings reveal that effective translation requires a balanced approach between maintaining academic precision and preserving cultural authenticity.The study demonstrates that successful translation of cultural terms in academic contexts demands a sophisticated understanding of both source and target cultural contexts,along with careful consideration of the academic audience’s needs.This research contributes to the field by providing practical insights for translators working with Chinese cultural texts in academic settings and proposing an approach to handling complex cultural terminology. 展开更多
关键词 cultural terms translation strategies academic texts Chinese culture jade mythology
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Solutions and quantum dynamics of the quantum Rabi model with A-square terms
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作者 Xiang-You Chen Tian Ye Qing-Hu Chen 《Communications in Theoretical Physics》 2025年第5期45-49,共5页
It is well known that the A-square term must be considered in both cavity and circuit quantum electrodynamics systems,because it arises in the derivation from the minimal coupling Hamiltonian at any finite coupling st... It is well known that the A-square term must be considered in both cavity and circuit quantum electrodynamics systems,because it arises in the derivation from the minimal coupling Hamiltonian at any finite coupling strength.In this paper,we study the quantum Rabi model with A-square terms using the Bogoliubov operator approach.After a unitary transformation,the A-square terms can be eliminated,resulting in a modified quantum Rabi model with renormalized parameters.A transcendental function responsible for the exact solution is then derived.The presence of the A-square terms is found to significantly alter the energy spectrum.The dynamics are also studied using the obtained exact wave function,which is sensitive to the strength of the A-square terms at strong coupling.We believe that these results could be observed in future light–matter interaction systems in the ultra-strong and deep strong coupling regimes. 展开更多
关键词 light-matter interaction quantum Rabi model A-square terms ultra-strong strong coupling dynamics
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Climatology and long-term trends in middle atmospheric temperatures at mid-latitudes observed by the Rayleigh/Sodium Lidar over Hefei,China(32°N,117°E)
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作者 Jian Li Wen Yi +4 位作者 XiangHui Xue MaoLin Lu JianYuan Wang HaiLun Ye TingDi Chen 《Earth and Planetary Physics》 2025年第4期915-924,共10页
In this study,the climatology and long-term trends of middle atmospheric temperatures at mid-latitudes are investigated using Rayleigh/Sodium lidar observations collected from January 2010 to December 2021 over Hefei,... In this study,the climatology and long-term trends of middle atmospheric temperatures at mid-latitudes are investigated using Rayleigh/Sodium lidar observations collected from January 2010 to December 2021 over Hefei,China(32°N,117°E).The seasonal variations and vertical profiles of lidar-derived temperatures demonstrate strong agreement with temperature measurements from the Microwave Limb Sounder(MLS)instrument on the Earth Observing System(EOS)Aura satellite.In terms of seasonal variation,middle atmospheric temperatures primarily exhibit annual oscillations(AO)and semi-annual oscillations(SAO).Harmonic analysis of the lidar and MLS temperature data reveals close phase alignment for both AO and SAO,with AO amplitudes ranging from 2 to 6 K,and SAO amplitudes from 1 to 4 K.The dependence of temperature on solar forcing was analyzed using the F10.7 index as a proxy,showing positive solar response coefficients at all altitudes,with a maximum of 15±1.1 K/100 SFU observed near 42–44 km.After removing the temperature response to solar cycle variations,a cooling trend in mid-latitude temperatures is evident across all altitudes,ranging from 3 to 6 K/decade. 展开更多
关键词 rayleigh and sodium lidar middle atmosphere temperature long term trend annual oscillation semi-annual oscillation
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Blow-up Phenomenon for a Class of Logarithmic Viscoelastic Equations with Delay and Nonlocal Term under Acoustic Boundary Conditions
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作者 DUAN Jisong XIANG Changyong 《数学理论与应用》 2025年第2期76-92,共17页
In this paper,we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions.Using the energy method,we prove that nontrivial s... In this paper,we investigate the blow-up phenomenon for a class of logarithmic viscoelastic equations with delay and nonlocal terms under acoustic boundary conditions.Using the energy method,we prove that nontrivial solutions with negative initial energy will blow up in finite time,and provide an upper bound estimate for the blow-up time.Additionally,we also derive a lower bound estimate for the blow-up time. 展开更多
关键词 Finite-time blow-up Logarithmic viscoelastic equation Nonlocal term Damping delay Acoustic boundary condition
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Long-Term Governance and Global Stability
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作者 AUGUSTO SOTO 《China Today》 2025年第10期34-36,共3页
Through its unique five-year planning system,China demonstrates how long-term,strategic policy continuity can effectively address both domestic and global challenges.
关键词 domestic challenges global challenges policy continuity five year planning system long term governance global stability
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Long-term monitoring of active large-scale landslides for non-structural risk mitigation-integrated sensors and web-based platform
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作者 CATELAN Filippo Tommaso BOSSI Giulia +8 位作者 SCHENATO Luca TONDO Melissa CRITELLI Vincenzo MULAS Marco CICCARESE Giuseppe CORSINI Alessandro TONIDANDEL David MAIR Volkmar MARCATO Gianluca 《Journal of Mountain Science》 2025年第1期1-15,共15页
Large-scale deep-seated landslides pose a significant threat to human life and infrastructure.Therefore,closely monitoring these landslides is crucial for assessing and mitigating their associated risks.In this paper,... Large-scale deep-seated landslides pose a significant threat to human life and infrastructure.Therefore,closely monitoring these landslides is crucial for assessing and mitigating their associated risks.In this paper,the authors introduce the So Lo Mon framework,a comprehensive monitoring system developed for three large-scale landslides in the Autonomous Province of Bolzano,Italy.A web-based platform integrates various monitoring data(GNSS,topographic data,in-place inclinometer),providing a user-friendly interface for visualizing and analyzing the collected data.This facilitates the identification of trends and patterns in landslide behaviour,enabling the triggering of warnings and the implementation of appropriate mitigation measures.The So Lo Mon platform has proven to be an invaluable tool for managing the risks associated with large-scale landslides through non-structural measures and driving countermeasure works design.It serves as a centralized data repository,offering visualization and analysis tools.This information empowers decisionmakers to make informed choices regarding risk mitigation,ultimately ensuring the safety of communities and infrastructures. 展开更多
关键词 Web-based platform South Tyrol landslides Long term monitoring Risk mitigation
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MicroRNA-320аas a novel biomarker at preclinical stage of necrotizing enterocolitis in term neonates with congenital heart defects
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作者 Ekaterina K Zaikova Aleksandra V Kaplina +4 位作者 Natalia A Petrova Tatiana M Pervunina Alexey S Golovkin Anna A Kostareva Olga V Kalinina 《World Journal of Clinical Pediatrics》 2025年第3期257-271,共15页
BACKGROUND Necrotizing enterocolitis(NEC)remains a prominent gastrointestinal emergency among infants,particularly term infants with congenital heart defects(CHD)being at high risk.The molecular processes that contrib... BACKGROUND Necrotizing enterocolitis(NEC)remains a prominent gastrointestinal emergency among infants,particularly term infants with congenital heart defects(CHD)being at high risk.The molecular processes that contribute to NEC have yet to be completely understood.The high mortality rates necessitate an active search for noninvasive biomarkers that can aid in the preclinical diagnosis and prognosis of NEC.MicroRNAs(miRs),which are involved in many biological processes in both health and disease,have been discovered to play an important role in regulating inflammation and immune responses via various signaling pathways.AIM To determine the plasma levels of miR-155,miR-221,miR-223,miR-320a,miR-451a as potential NEC biomarkers in term newborns with CHD.METHODS This prospective cohort study included twenty-tree term newborns with CHD who underwent cardiac surgery on the median day of life(DOL)=7.Nine of them developed NEC(Bell’s stage IIA and IIIA)within 1 week of cardiac surgery(NEC newborns).Blood samples were collected before(median DOL=5)and following(median DOL=13)cardiac surgery.Levels of plasma miR-155-5p,miR-221-3p,miR-223-3p,miR-320a-3p,and miR-451a were determined using real-time polymerase chain reaction.The functional analysis was executed using the DIANA-miRPath v4.0.RESULTS Preoperatively,NEC newborns had significantly lower plasma levels of miR-155(2.70-fold,P=0.020),miR-223(2.42-fold,P=0.030),and miR-320a(3.62-fold,P=0.006)than newborns without NEC.Postoperatively,miR-451a levels differed significantly between the newborn groups,showing a 4.70-fold decrease(P=0.014)in expression when clinical NEC symptoms appeared.According to receiver operating characteristic analysis,miR-320a was found to be the most effective predictive biomarker for NEC[area under the curve(AUC)=0.835,63%sensitivity,100%specificity],while miR-451a was identified as a NEC biomarker(AUC=0.835,85.7%sensitivity,76.9%specificity).Preoperatively,miR-155-5p,miR-223-3p,and miR-320a-3p were differentially expressed and targeted the forkhead box O and Hippo pathways(P<0.01).CONCLUSION Our study demonstrates,for the first time,that plasma miR-320a-3p levels can be used as a preclinical biomarker for NEC in term newborns with CHD. 展开更多
关键词 MicroRNA-320a term newborns Necrotizing enterocolitis Congenital heart defects Plasma biomarker Quantitative real-time polymerase chain reaction
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Long-Term Governance
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作者 XIA YUANYUAN LIU TING 《ChinAfrica》 2025年第8期27-29,共3页
China’s stability and long-term planning make it a sheet anchor amid global storm China is stepping up e!orts to fulfil the targets set in the 14th Five-Year Plan(FYP)in its final year of implementation and to formul... China’s stability and long-term planning make it a sheet anchor amid global storm China is stepping up e!orts to fulfil the targets set in the 14th Five-Year Plan(FYP)in its final year of implementation and to formulate the next FYP.Chinese President Xi Jinping called for adapting to changing situations,identifying strategic priorities,and making sound plans for the compilation of the 15th FYP(2026-2030)on April 30. 展开更多
关键词 long term planning Xi Jinping adapting changing situationsidentifying global economy strategic priorities five year plan stability Chinas governance
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Why China’s Long-Term Planning Works
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作者 ZHANG HUI 《China Today》 2025年第12期45-47,共3页
Spanish scholars decode China’s five-year planning as a strategic governance model that ensures long-term national development through continuity,popular participation,and adaptability,offering valuable insights for ... Spanish scholars decode China’s five-year planning as a strategic governance model that ensures long-term national development through continuity,popular participation,and adaptability,offering valuable insights for global governance. 展开更多
关键词 strategic governance model long term planning strategic governance global governance five year planning ADAPTABILITY national development popular participation
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Long-Term Vision in a Rapidly Changing World
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作者 JOHN QUELCH 《China Today》 2025年第8期43-45,共3页
China’s five-year plans crystallize a governance model that merges long-term strategic vision with adaptive execution.AS China prepares to unveil its 15th Five-Year Plan in 2026,policymakers,investors,and scholars ar... China’s five-year plans crystallize a governance model that merges long-term strategic vision with adaptive execution.AS China prepares to unveil its 15th Five-Year Plan in 2026,policymakers,investors,and scholars around the world are watching closely.For over 70 years,these plans have guided the country’s economic and social development. 展开更多
关键词 economic social development long term vision China economic development five year plans adaptive execution strategic vision governance model
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Massive sarcomerogenesis in human skeletal muscle following long-term eccentric exercise intervention
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作者 Heiliane de Brito Fontana Walter Herzog 《Journal of Sport and Health Science》 2025年第1期64-66,共3页
Sarcomerogenesis,the addition of serial sarcomeres in skeletal muscle myofibrils and fibres,is a natural occurrence during growth and maturation of animals,including humans.However,the detailed mechanisms that allow f... Sarcomerogenesis,the addition of serial sarcomeres in skeletal muscle myofibrils and fibres,is a natural occurrence during growth and maturation of animals,including humans.However,the detailed mechanisms that allow for sarcomerogenesis are not fully understood.In some diseases,such as cerebral palsy in children,sarcomerogenesis appears to be inhibited or at least reduced,1,2 often causing severe restrictions in muscle and joint function. 展开更多
关键词 long term eccentric exercise sarcomerogenesis serial sarcomeres muscle joint function skeletal muscle myofibrils fibresis skeletal muscle
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Deep Learning-Based Health Assessment Method for Benzene-to-Ethylene Ratio Control Systems under Incomplete Data
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作者 Huichao Cao Honghe Du +3 位作者 Dongnian Jiang Wei Li Lei Du Jianfeng Yang 《Structural Durability & Health Monitoring》 2025年第5期1305-1325,共21页
In the production processes of modern industry,accurate assessment of the system’s health state and traceability non-optimal factors are key to ensuring“safe,stable,long-term,full load and optimal”operation of the ... In the production processes of modern industry,accurate assessment of the system’s health state and traceability non-optimal factors are key to ensuring“safe,stable,long-term,full load and optimal”operation of the production process.The benzene-to-ethylene ratio control system is a complex system based on anMPC-PID doublelayer architecture.Taking into consideration the interaction between levels,coupling between loops and conditions of incomplete operation data,this paper proposes a health assessment method for the dual-layer control system by comprehensively utilizing deep learning technology.Firstly,according to the results of the pre-assessment of the system layers and loops bymultivariate statisticalmethods,seven characteristic parameters that have a significant impact on the health state of the system are identified.Next,aiming at the problem of incomplete assessment data set due to the uneven distribution of actual system operating health state,the original unbalanced dataset is augmented using aWasserstein generative adversarial network with gradient penalty term,and a complete dataset is obtained to characterise all the health states of the system.On this basis,a new deep learning-based health assessment framework for the benzeneto-ethylene ratio control system is constructed based on traditionalmultivariate statistical assessment.This framework can overcome the shortcomings of the linear weighted fusion related to the coupling and nonlinearity of the subsystem health state at different layers,and reduce the dependence of the prior knowledge.Furthermore,by introducing a dynamic attention mechanism(AM)into the convolutional neural network(CNN),the assessment model integrating both assessment and traceability is constructed,which can achieve the health assessment and trace the non-optimal factors of the complex control systems with the double-layer architecture.Finally,the effectiveness and superiority of the proposed method have been verified by the benzene-ethylene ratio control system of the alkylation process unit in a styrene plant. 展开更多
关键词 The benzene-to-ethylene ratio control system health assessment data augmentation Wasserstein generative adversarial network with gradient penalty term dynamic attention mechanism into the convolutional neural network
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New robust chaotic system with exponential quadratic term 被引量:9
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作者 包伯成 李春彪 +1 位作者 许建平 刘中 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第11期4022-4026,共5页
This paper proposes a new robust chaotic system of three-dimensional quadratic autonomous ordinary differential equations by introducing an exponential quadratic term. This system can display a double-scroll chaotic a... This paper proposes a new robust chaotic system of three-dimensional quadratic autonomous ordinary differential equations by introducing an exponential quadratic term. This system can display a double-scroll chaotic attractor with only two equilibria, and can be found to be robust chaotic in a very wide parameter domain with positive maximum Lyapunov exponent. Some basic dynamical properties and chaotic behaviour of novel attractor are studied. By numerical simulation, this paper verifies that the three-dimensional system can also evolve into periodic and chaotic behaviours by a constant controller. 展开更多
关键词 ATTRACTOR chaotic system exponential quadratic term constant controller
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Carbon Sequestration in Soil Humic Substances Under Long-Term Fertilization in a Wheat-Maize System from North China 被引量:15
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作者 SONG Xiang-yun LIU Shu-tang +2 位作者 LIU Qing-hua ZHANG Wen-ju HU Chun-guang 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2014年第3期562-569,共8页
The changes in humic substances (HS) is fundamental in detecting soil carbon sequestration mechanisms in natural and cultivated environments. Based on a long-term trial, the amounts of water dissolved substances (... The changes in humic substances (HS) is fundamental in detecting soil carbon sequestration mechanisms in natural and cultivated environments. Based on a long-term trial, the amounts of water dissolved substances (WSS), humic acid (HA), fulvic acid (FA) and humin (HU) were determined to explore the impact of long-term fertilization on HS. Increases in the amounts of WSS, HA, FA and HU were significant different among the treatments with manure. A significant correlation was found between the increased soil organic carbon (SOC) and HS (R^2=0.98, P〈0.01). The change in the E4/E6 ratio was significantly correlated with the increased SOC (R2=0.88, P〈0.01), HA (R^2=0.91, P〈0.01), FA (R^2=0.91, P〈0.01) and HU (R^2=0.88, P〈0.01). The cluster was mainly divided into two parts as manure fertilization and inorganic fertilization, based on the increases in HA, FA and HU. These results suggest that long term fertilization with manure favours carbon sequestration in HS and is mainly stabilized as HU, while the HA becomes more aliphatic. We conclude that increases in SOC can be linked to changes in the molecular characteristics of HS fractions under long term fertilization. 展开更多
关键词 carbon sequestration humic acid HUMIN long term fertilization E4/E6 ratio
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Carbon sequestration rate,nitrogen use efficiency and rice yield responses to long-term substitution of chemical fertilizer by organic manure in a rice–rice cropping system 被引量:5
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作者 Nafiu Garba HAYATU LIU Yi-ren +7 位作者 HAN Tian-fu Nano Alemu DABA ZHANG Lu SHEN Zhe LI Ji-wen Haliru MUAZU Sobhi Faid LAMLOM ZHANG Hui-min 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2023年第9期2848-2864,共17页
Combined application of chemical fertilizers with organic amendments was recommended as a strategy for improving yield,soil carbon storage,and nutrient use efficiency.However,how the long-term substitution of chemical... Combined application of chemical fertilizers with organic amendments was recommended as a strategy for improving yield,soil carbon storage,and nutrient use efficiency.However,how the long-term substitution of chemical fertilizer with organic manure affects rice yield,carbon sequestration rate(CSR),and nitrogen use efficiency(NUE)while ensuring environmental safety remains unclear.This study assessed the long-term effect of substituting chemical fertilizer with organic manure on rice yield,CSR,and NUE.It also determined the optimum substitution ratio in the acidic soil of southern China.The treatments were:(i)NPK0,unfertilized control;(ii)NPK1,100%chemical nitrogen,phosphorus,and potassium fertilizer;(iii)NPKM1,70%chemical NPK fertilizer and 30%organic manure;(iv)NPKM2,50%chemical NPK fertilizer and 50%organic manure;and(v)NPKM3,30%chemical NPK fertilizer and 70%organic manure.Milk vetch and pig manure were sources of manure for early and late rice seasons,respectively.The result showed that SOC content was higher in NPKM1,NPKM2,and NPKM3 treatments than in NPK0 and NPK1 treatments.The carbon sequestration rate increased by 140,160,and 280%under NPKM1,NPKM2,and NPKM3 treatments,respectively,compared to NPK1 treatment.Grain yield was 86.1,93.1,93.6,and 96.5%higher under NPK1,NPKM1,NPKM2,and NPKM3 treatments,respectively,compared to NPK0 treatment.The NUE in NPKM1,NPKM2,and NPKM3 treatments was higher as compared to NPK1 treatment for both rice seasons.Redundancy analysis revealed close positive relationships of CSR with C input,total N,soil C:N ratio,catalase,and humic acids,whereas NUE was closely related to grain yield,grain N content,and phenol oxidase.Furthermore,CSR and NUE negatively correlated with humin acid and soil C:P and N:P ratios.The technique for order of preference by similarity to ideal solution(TOPSIS)showed that NPKM3 treatment was the optimum strategy for improving CSR and NUE.Therefore,substituting 70%of chemical fertilizer with organic manure could be the best management option for increasing CSR and NUE in the paddy fields of southern China. 展开更多
关键词 carbon sequestration chemical fertilizer long term organic manure nitrogen use efficiency paddy rice
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Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic System in Terms of Quasi-coordinates 被引量:4
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作者 CHEN Xiang-Wei ZHAO Yong-Hong LI Yan-Min 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第5X期773-778,共6页
Based on the theory of Lie symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic system in terms of quasi-coordinates are studied. The perturbation to symmetries for the no... Based on the theory of Lie symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic system in terms of quasi-coordinates are studied. The perturbation to symmetries for the nonholonomic system in terms of quasi-coordinates under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the forms of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied. 展开更多
关键词 nonholonomic system in terms of quasi-coordinates PERTURBATION exact invariant adiabatic invariant
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