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A Comparison of Demonstratives in English and Chinese
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作者 张天乾 《海外英语》 2011年第4X期14-15,共2页
This paper re-examines the comparison of the demonstratives in English and Chinese,which has been discussed by many linguists.They argue that the demonstratives in English and Chinese don't correspond symmetricall... This paper re-examines the comparison of the demonstratives in English and Chinese,which has been discussed by many linguists.They argue that the demonstratives in English and Chinese don't correspond symmetrically,and that '这' in Chinese,for example,is more widely used than this in English.Earlier approaches to the comparison in terms of space,time and text distance are reviewed.This paper assumes that,compared with English demonstratives,the proximity indicated by Chinese demonstratives is more influenced by psychological factors.This paper holds that the space,time and text distance as well as psychological distance act upon each other,co-determining the choice of demonstratives in Chinese. 展开更多
关键词 demonstrativeS SPACE TIME and TEXT DISTANCE PSYCHOLOGICAL DISTANCE
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A Contrastive Analysis of Demonstrative Reference in English and Chinese
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作者 韩亮 《魅力中国》 2009年第25期19-,36,共2页
I Introduction The fact that we are human beings who live together in society determines that much that we want to accomplish can be done only through social communication with other people. It is under
关键词 A Contrastive Analysis of demonstrative Reference in English and Chinese
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China's First UHVAC project conferred “demonstrative standardization project”
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作者 Liu Chunsheng 《Electricity》 2010年第1期3-,共1页
On December 14, 2009, the National Standardization Management Commission, China Electricity Council and the State Grid Corporation jointly
关键词 GRID test China’s First UHVAC project conferred demonstrative standardization project
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Rifa Textile Machinery:Shaping the future of textile manufacturing through innovation
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《China Textile》 2025年第5期42-42,共1页
Founded in 1993,Zhejiang Rifa Textile Machinery Co.,Ltd.is a national key high-tech enterprise,a leading enterprise in China’s machinery industry,a CIMS engineering demonstration enterprise under the 863 Program,a na... Founded in 1993,Zhejiang Rifa Textile Machinery Co.,Ltd.is a national key high-tech enterprise,a leading enterprise in China’s machinery industry,a CIMS engineering demonstration enterprise under the 863 Program,a national CAD application engineering demonstration enterprise,a hightech enterprise of the National Torch Plan,and a vice president unit of the China Textile Machinery Association.It currently runs three subsidiaries,namely,Shandong Rifa Textile Machinery Co.,Ltd.,Anhui Rifa Textile Machinery Co.,Ltd.and Zhejiang Rifa Textile Machinery Tech Co.,Ltd. 展开更多
关键词 hightech enterprise cad application engineering demonstration enterprisea cims engineering demonstration enterprise textile machinery programa high tech enterprise program INNOVATION
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Learning from and Applying the Experience of the"Thousand-Village Demonstration,Ten-Thousand-Village Renovation"Project to Promote the Practice and Exploration of Building Harmonious and Beautiful Villages in Gansu Province
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作者 Hongmei WAN 《Asian Agricultural Research》 2025年第11期7-13,共7页
The No.1 Central Document of 2024 emphasizes the need to learn from and apply the experience of the"Thousand-Village Demonstration,Ten-Thousand-Village Renovation"project to paint a new picture of livable,wo... The No.1 Central Document of 2024 emphasizes the need to learn from and apply the experience of the"Thousand-Village Demonstration,Ten-Thousand-Village Renovation"project to paint a new picture of livable,workable,harmonious,and beautiful villages,thereby accelerating agricultural and rural modernization and better advancing the construction of Chinese modernization.This paper,based on elucidating the scientific connotations and logical pathways of the"Thousand-Village Demonstration,Ten-Thousand-Village Renovation"project and"harmonious and beautiful villages",analyzes the practices of building"harmonious and beautiful villages"in Gansu Province.It proposes learning from the experience of coordinated advancement in the"Thousand-Village Demonstration,Ten-Thousand-Village Renovation"project to strengthen infrastructure and public service construction;learning from the experience of adapting to local conditions to reinforce rural industrial drive and integrated development;learning from the experience of environmental optimization and shaping to accelerate the improvement of human settlements and ecological civilization construction;and learning from the experience of co-construction,co-governance,and sharing to speed up rural governance and spiritual civilization development,thereby aiding the construction of harmonious and beautiful villages in Gansu. 展开更多
关键词 "Thousand-Village DEMONSTRATION Ten-Thousand-Village Renovation" Project HARMONIOUS and BEAUTIFUL VILLAGES Gansu Practice
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Application Effects of Various Herbicides and Essential Techniques in Corn and Soybean Strip Intercropping Fields
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作者 Shandong LI Min WANG +2 位作者 Shaoguo ZHANG Yaling ZHAO Tingting YANG 《Plant Diseases and Pests》 2025年第2期19-23,共5页
[Objectives]To address the weeding challenges within the corn and soybean strip intercropping field and identify appropriate herbicide types and application methods suitable for the corn and soybean strip intercroppin... [Objectives]To address the weeding challenges within the corn and soybean strip intercropping field and identify appropriate herbicide types and application methods suitable for the corn and soybean strip intercropping fields in Siyang County.[Methods]The trial comprised six herbicide treatments and one blank control,with investigations conducted to assess efficacy,safety,and yield.[Results]Each herbicide treatment effectively controlled weeds,demonstrated high safety,and enhanced the yields of both soybeans and corn.The combined application of soil sealing with stem and leaf spray exhibited superior overall weed control compared to soil sealing alone.At 28 d following stem and leaf spray,the plant control effect and fresh weight control effect against weeds in the combined treatment of soil sealing with stem and leaf spray all exceeded 89%.[Conclusions]This study offers technical support for advancing the practice of strip intercropping between corn and soybeans. 展开更多
关键词 CORN SOYBEAN STRIP INTERCROPPING Control effect HERBICIDE Demonstration test
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800 Exhibitors from 30 countries to showcase green tech at ITMA ASIA+CITME Singapore 2025 Interview with Mr Charles Beauduin,ITMA Services Chairman
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作者 Charles Beauduin 《China Textile》 2025年第5期16-17,共2页
CT:As the first ITMA ASIA+CITME exhibition held in Singapore,what are the highlights of this show?Are there any activities planned for the exhibition?Charles Beauduin:The first combined exhibition in Singapore will fe... CT:As the first ITMA ASIA+CITME exhibition held in Singapore,what are the highlights of this show?Are there any activities planned for the exhibition?Charles Beauduin:The first combined exhibition in Singapore will feature the unique selling proposition of an ITMA exhibition,such as live machinery demonstrations,and exhibits clustered in product sectors.As it is only a four-day exhibition,our exhibitors would like to concentrate on business and to present their technologies and solutions to the region’s buyers who don’t visit our Europe or China exhibitions.There is a highlight which will add value to our participants’experience-The ITMA Sustainability Forum which is presented by CEMATEX on the third day of the exhibition. 展开更多
关键词 EXHIBITION cematex green tech SINGAPORE sustainability forum itma asia citme combined exhibition live machinery demonstrations
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IntuiGrasp:Bio-inspired Dexterous Hand with Intuitive Teaching
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作者 Yihao ZHOU Haohui HUANG +1 位作者 Chenguang YANG Wenjun YE 《Artificial Intelligence Science and Engineering》 2025年第3期220-228,共9页
IntuiGrasp is a novel three-fingered dexterous hand that pioneers bio-inspired demonstrations with intuitive priors(BDIP)to bridge the gap between human tactile intuition and robotic execution.Unlike conven-tional pro... IntuiGrasp is a novel three-fingered dexterous hand that pioneers bio-inspired demonstrations with intuitive priors(BDIP)to bridge the gap between human tactile intuition and robotic execution.Unlike conven-tional programming,BDIP leverages human's innate priors(e.g.,“A pack of tissues requires gentle grasps,cups demand firm contact”)by enabling real-time transfer of gesture and force policies during physical demon-stration.When a human demonstrator wears IntuiGrasp,driven rings provide real-time haptic feedback on contact stress and slip,while inte-grated tactile sensors translate these human policies into image data,offering valuable data for imitation learning.In this study,human teachers use IntuiGrasp to demonstrate how to grasp three types of objects:a cup,a crumpled tissue pack,and a thin playing card.IntuiGrasp translates the policies for grasping these objects into image information that describes tactile sensations in real time. 展开更多
关键词 bio-inspired dexterous hand haptic demonstration imitation learning intuitive priors tactile-visual fusion
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Cultivating Change A young Ugandan harnesses digital media to drive agricultural transformation
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作者 LI XIAOYU 《ChinAfrica》 2025年第11期40-41,共2页
Under the blazing sun of Kamuli District in Uganda’s Eastern Region,a group of young farmers gathered around a patch of freshly turned red soil.Cameras rolled as Uganda’s First Deputy Prime Minister Rebecca Kadaga j... Under the blazing sun of Kamuli District in Uganda’s Eastern Region,a group of young farmers gathered around a patch of freshly turned red soil.Cameras rolled as Uganda’s First Deputy Prime Minister Rebecca Kadaga joined local youth to plant the first chilli seedlings on a 10-acre(4.05 hectares)demonstration farm.The live broadcast,aired on the national agricultural television programme Kungula,marked not only the launch of a digital farming project led by AMPA Media,but also symbolised Africa’s growing ambition to unite tradition with technology. 展开更多
关键词 demonstration farm plant first chilli seedlings digital media young farmers chilli seedlings Ampa media Kamuli district agricultural transformation
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Industrial Robots,Superstar Firms,and Labor Income Share:Opportunities and Hidden Risks
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作者 Chen Dong Yao Di Zheng Yulu 《China Economist》 2025年第5期116-136,共21页
The diffusion of industrial robot technology has coincided with increasing divergence in firms’market shares,potentially leading to enhanced market power and shifts in the distribution of factor income.This paper inv... The diffusion of industrial robot technology has coincided with increasing divergence in firms’market shares,potentially leading to enhanced market power and shifts in the distribution of factor income.This paper investigates the impact of industrial robot adoption on firms’labor income share and explores the underlying mechanisms,with particular attention to the rise of superstar firms.The findings suggest that,overall,the use of industrial robots contributes to an increase in labor’s income share,reflecting a generally favorable trend for labor’s position in primary income distribution.This effect,however,is markedly heterogeneous across different types of firms,regions,and industries.A significant concern is that robot adoption strengthens firms’relative market power within industries,fueling the emergence of superstar firms.These firms jointly influence labor income share through both a competition effect and a demonstration effect:the former is the main cause of declining labor shares,while the latter introduces a new channel through which labor’s share is further reduced.Although antitrust policies can help improve labor’s income share,they are not well-suited to curbing the market power expansion driven by industrial robot adoption.Thus,the concern over superstar firms’suppression of labor income remains.Amid the intensifying trend of“machines replacing humans”,this paper offers empirical insights into how to address the distributional implications brought about by the rise of superstar firms. 展开更多
关键词 Industrial robot adoption Labor income share Superstar firms Competition effect Demonstration effect
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Reflections on Promoting Rural Development in Mountainous Areas under the"Window of Qingtian"Initiative for New-Era Beautiful Countryside:A Case Study of Malingjiao Village,Zhenbu Town,Qingtian County
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作者 Shuling ZHOU Qunhong ZHU 《Asian Agricultural Research》 2025年第4期5-9,13,共6页
Within the context of the"Window of Qingtian"initiative for constructing beautiful countryside in the new era,this study focuses on Malingjiao Village in Zhenbu Town,Qingtian County,exploring innovative appr... Within the context of the"Window of Qingtian"initiative for constructing beautiful countryside in the new era,this study focuses on Malingjiao Village in Zhenbu Town,Qingtian County,exploring innovative approaches and practical models for rural revitalization in mountainous areas.By employing a combination of field research,policy analysis,and case studies,this research deeply analyzes the specific measures implemented in Malingjiao Village,including infrastructure enhancement,integration of primary,secondary,and tertiary industries,revitalization of collective assets,ecological conservation,and cultural heritage preservation.The results indicate that,by pursuing strategies of shared prosperity,agricultural-tourism integration,and integrated development of primary,secondary,and tertiary industries,the village has successfully optimized its industrial structure,expanded the collective economy,increased villager incomes,and improved the ecological environment.This study not only provides a referential demonstration model for beautiful countryside construction throughout Qingtian County but also offers empirical and theoretical support for rural revitalization in mountainous regions across southwestern Zhejiang and even the entire province. 展开更多
关键词 "Window of Qingtian" Beautiful countryside Integration of primary secondary and tertiary industries Demonstration model
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Potential Assessment,Pattern Recognition and Phase Segmentation of Summer Residential Tourism for China’s CTDZs Justified by a Compound Summer Residence Index(SRI)
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作者 ZHENG Fang YI Jieyan HOU Ying 《Journal of Landscape Research》 2025年第4期68-74,78,共8页
Summer residential tourism is the future trend in China because of tourists’living quality improvement,heat crisis,rising market demand,and optimization of the destinations’residential environment,transport and acce... Summer residential tourism is the future trend in China because of tourists’living quality improvement,heat crisis,rising market demand,and optimization of the destinations’residential environment,transport and accessibility.Compared with summer tourism and vacation tourism,summer residential tourism had got less attention and lacks in prospective and preventive research.Hence,this study focused on potential assessment,pattern recognition and phase segmentation of 32 residential tourism destinations in China selected from 4 lists.An index system of 16 indicators from 5 dimensions was established as Summer Residence Index(SRI),and Range method,Entropy weight method and Composite index method were chosen as the core methods.Three main conclusions were as follows.(1)Only 2 typical districts’SRI value were near to 0.6,and 4 destinations were below 0.1,about 26 destinations were at medium-level,which indicated that China’s summer residential tourism was not so popular and only few destinations have stepped into a higher level.(2)Seven patterns could be recognized based on the contribution of the 5 dimensions to SRI value,including 3 single-factor driven patterns and 4 compound factors driven patterns.(3)Like tourist area life cycle(TALC),Unconscious stage,Initial stage,Developmental stage and Maturity stage could be segmented for summer residential destinations with the value of below 0.1,0.1-0.3,0.3-0.5,and above 0.5.Four destinations were under Unconscious stage.Twenty-two destinations were at initiate stage.Only 4 destinations have stepped into development stage and 2 at maturity stage.China’summer residential tourism has just started and has a better prospect.This study is just an attempt and needs further consideration,for example,a tracking study of SRI calculation for each year will be carried to justify the effectiveness of SRI and to check the rationality of the empirical results.As time goes on,policies in housing,residential estate and other aspects should be included as a factor in the SRI index.Data availability should be optimized because of better data sources and new technologies.Some other districts or cities in 2 batches of national Comprehensive Tourism Demonstration Zones(CTDZs)pilots and provincial CTDZs will be further selections of summer residential tourism destinations. 展开更多
关键词 Summer residential tourism Summer residence index Comprehensive tourism demonstration zone(CTDZs) China
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Demonstration-enhanced policy search for space multi-arm robot collaborative skill learning
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作者 Tian GAO Chengfei YUE +1 位作者 Xiaozhe JU Tao LIN 《Chinese Journal of Aeronautics》 2025年第3期462-473,共12页
The increasing complexity of on-orbit tasks imposes great demands on the flexible operation of space robotic arms, prompting the development of space robots from single-arm manipulation to multi-arm collaboration. In ... The increasing complexity of on-orbit tasks imposes great demands on the flexible operation of space robotic arms, prompting the development of space robots from single-arm manipulation to multi-arm collaboration. In this paper, a combined approach of Learning from Demonstration (LfD) and Reinforcement Learning (RL) is proposed for space multi-arm collaborative skill learning. The combination effectively resolves the trade-off between learning efficiency and feasible solution in LfD, as well as the time-consuming pursuit of the optimal solution in RL. With the prior knowledge of LfD, space robotic arms can achieve efficient guided learning in high-dimensional state-action space. Specifically, an LfD approach with Probabilistic Movement Primitives (ProMP) is firstly utilized to encode and reproduce the demonstration actions, generating a distribution as the initialization of policy. Then in the RL stage, a Relative Entropy Policy Search (REPS) algorithm modified in continuous state-action space is employed for further policy improvement. More importantly, the learned behaviors can maintain and reflect the characteristics of demonstrations. In addition, a series of supplementary policy search mechanisms are designed to accelerate the exploration process. The effectiveness of the proposed method has been verified both theoretically and experimentally. Moreover, comparisons with state-of-the-art methods have confirmed the outperformance of the approach. 展开更多
关键词 Space multi-arm collaboration Demonstrations .Reinforcement Learning Probabilistic Movement Primitives Relative Entropy Policy Search Policy search mechanism
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基于COCA语料库的动词“Demonstrate”的扩展意义单位研究
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作者 张晨杨 《现代语言学》 2025年第2期182-190,共9页
词汇习得研究是语料库语言学界的研究热点,作为语料库驱动的短语研究的重要描述机制,扩展意义单位模型为研究词汇的整体性意义提供了新的研究视角。本研究利用美国当代英语语料库(COCA),以动词“demonstrate”为节点词,探讨了该词的扩... 词汇习得研究是语料库语言学界的研究热点,作为语料库驱动的短语研究的重要描述机制,扩展意义单位模型为研究词汇的整体性意义提供了新的研究视角。本研究利用美国当代英语语料库(COCA),以动词“demonstrate”为节点词,探讨了该词的扩展意义单位,即该动词的搭配、类联接特点、搭配词的语义倾向,以及整个复合词项的语义韵信息。研究发现,动词“demonstrate”常出现在学术文章中,常与带有“研究”词义的词汇搭配,多用于书面语。同时,该词能够与名词、形容词、副词和介词等词性进行不同的类联接,从而构成丰富多样的句法结构。此外,该词与形容词、副词和介词搭配时,分别体现积极、中性和消极的语义倾向,整个复合词项分别呈现出褒义、中立和贬义的语义韵。通过研究词汇的扩展意义单位,二语学习者可以发现整个扩展意义单位所传达的态度意义,从而提高自身的语言表达能力。The study of vocabulary acquisition has become a hot topic in the corpus linguistics community. As an important descriptive mechanism for corpus-driven phrase research, the extended unit of meaning model provides a new research perspective on the holistic meaning of vocabulary. This study utilizes the Corpus of Contemporary American English (COCA) to investigate the extended unit of meaning of the verb “demonstrate”. This includes its collocation, colligation, semantic preference and semantic prosody. The results of the study indicate that the verb “demonstrate” frequently appears in academic articles, often collocates with words carrying the meaning of research, and is predominantly used in written language. Furthermore, this verb is able to form various syntactic structures through different collocations with nouns, adjectives, adverbs, and prepositions. Additionally, when collocating with adjectives, adverbs, and prepositions, the verb exhibits positive, neutral, and negative semantic preferences, respectively, resulting in a positive, neutral, and negative semantic prosody. By studying the expanded semantic units of vocabulary, second language learners can uncover the attitudinal meanings conveyed by the extended unit of meaning, thereby enhancing their own language expression abilities. 展开更多
关键词 拓展意义单位 COCA语料库 动词“Demonstrate”
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CO_(2)high-pressure miscible flooding and storage technology and its application in Shengli Oilfield,China
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作者 YANG Yong ZHANG Shiming +6 位作者 CAO Xiaopeng LYU Qi LYU Guangzhong ZHANG Chuanbao LI Zongyang ZHANG Dong ZHENG Wenkuan 《Petroleum Exploration and Development》 SCIE 2024年第5期1247-1260,共14页
There are various issues for CO_(2)flooding and storage in Shengli Oilfield,which are characterized by low light hydrocarbon content of oil and high miscible pressure,strong reservoir heterogeneity and low sweep effic... There are various issues for CO_(2)flooding and storage in Shengli Oilfield,which are characterized by low light hydrocarbon content of oil and high miscible pressure,strong reservoir heterogeneity and low sweep efficiency,gas channeling and difficult whole-process control.Through laboratory experiments,technical research and field practice,the theory and technology of CO_(2)high pressure miscible flooding and storage are established.By increasing the formation pressure to 1.2 times the minimum miscible pressure,the miscibility of the medium-heavy components can be improved,the production percentage of oil in small pores can be increased,the displacing front developed evenly,and the swept volume expanded.Rapid high-pressure miscibility is realized through advanced pressure flooding and energy replenishment,and technologies of cascade water-alternating-gas(WAG),injection and production coupling and multistage chemical plugging are used for dynamic control of flow resistance,so as to obtain the optimum of oil recovery and CO_(2)storage factor.The research results have been applied to the Gao89-Fan142 in carbon capture,utilization and storage(CCUS)demonstration site,where the daily oil production of the block has increased from 254.6 t to 358.2 t,and the recovery degree is expected to increase by 11.6 percentage points in 15 years,providing theoretical and technical support for the large-scale development of CCUS. 展开更多
关键词 ow permeability reservoir CO_(2)flooding high-pressure miscibility recovery factor storage factor demonstration project
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A review on recent development of space solar power
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作者 HOU Xinbin MANKINS John +2 位作者 SHINOHARA Naoki CHOI Joon-Min SOLTAU Martin 《中国空间科学技术(中英文)》 CSCD 北大核心 2024年第6期33-51,共19页
Space solar power(SSP)system,a major type of space-based power-generating equipment,is an important infrastructure providing massive,continuous,and stable green electricity by utilizing solar energy in space.Many coun... Space solar power(SSP)system,a major type of space-based power-generating equipment,is an important infrastructure providing massive,continuous,and stable green electricity by utilizing solar energy in space.Many countries and organizations consider SSP to be one of the most promising clean energy sources.The historical activities of SSP in the world are summarized.This review focuses on the significant development of SSP during the last 10 years,which is the most important period for SSP.The latest international SSP development programmes in the United States,ESA,Japan,China,UK and Korea are presented.Some significant solar power satellite(SPS)concepts proposed in the decade,including typical SPS-ALPHA,MR-SPS,CASSIOPeiA SPS,et al.,are introduced.The technical and non-technical challenges are also listed and several important in-space demonstration missions in recent years and in the near future are introduced.The conclusion is that the next 5 to 10 years will be an important period for rapidly developing the key technologies and conducting on-orbit demonstration and application.Controlling the mutual position relationship between the solar array and the transmitting antenna becomes a core issue to be considered in the innovative design of the SPS.Wireless power transmission technologies would be the demonstration focus for the first step.It is expected that the first commercial SPS would be constructed as early as 2040. 展开更多
关键词 space solar power solar power satellite REVIEW STRATEGY DEMONSTRATION
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Are cities greener because of innovation?Independent innovation policy and green economic efficiency
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作者 Zhuoji Zheng Xueqin Li +3 位作者 Mengjie Yu Yuan Li Xianfeng Han Yuping Yin 《Chinese Journal of Population,Resources and Environment》 2024年第2期118-126,共9页
The national independent innovation demonstration zone(NIIDZ)is an independent innovation policy that plays a crucial role in implementing strategies.Given the importance of the NIIDZ,this study uses panel data of 278... The national independent innovation demonstration zone(NIIDZ)is an independent innovation policy that plays a crucial role in implementing strategies.Given the importance of the NIIDZ,this study uses panel data of 278 prefecture-level cities in China from 2006 to 2020 and empirically examines the effect and internal mechanism of the NIIDZ on green economic efficiency(GEE)using the difference-in-difference model(DID).The results show that the NIIDZ effectively enhances the growth of GEE,and the results remain valid through several robustness tests,such as year-by-year propensity score matching.The transmission mechanism suggests that the NIIDZ indirectly drives GEE by accelerating scientific and technological investment,promoting talent concentration,and optimizing the industrial structure.Moreover,heterogeneity analysis reveals that the promotion effect of the NIIDZ on GEE is more prominent in the eastern region and high green development level areas.The study’s findings can serve as a reference for China to further utilize the policy effectiveness of the NIIDZ and accelerate the high-quality development of the green economy in the future. 展开更多
关键词 National innovation independent demonstration Zone(NIIDZ) Green economy efficiency(GEE) Difference-in-difference model(DID)
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Construction of the Demonstration Area for the Inheritance and Development of Yimeng Red Culture Based on Digital Empowerment
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作者 MA Haiyang WANG Hui +2 位作者 ZHANG Chuanxin ZHANG Ying LIU Xiaomei 《Journal of Landscape Research》 2024年第5期77-80,共4页
Yimeng red culture is an important part of the excellent culture of the Chinese nation.It is of great practical significance and long-term strategic significance to build the demonstration area for the inheritance and... Yimeng red culture is an important part of the excellent culture of the Chinese nation.It is of great practical significance and long-term strategic significance to build the demonstration area for the inheritance and development of Yimeng red culture.Combining digital empowerment with the inheritance and development of Yimeng red culture is a new idea that conforms to the development of the times.In this paper,on the basis of combing Yimeng red cultural resources and combining with the current situation of inheritance and development of Yimeng red culture,the strategic layout and implementation approach of the demonstration area for the inheritance and development of Yimeng red culture were put forward from the perspective of digital empowerment. 展开更多
关键词 Digital empowerment Yimeng Red culture INHERITANCE Demonstration area
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A New Proof for Congruent Number’s Problem via Pythagorician Divisors
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作者 Léopold Dèkpassi Keuméan François Emmanuel Tanoé 《Advances in Pure Mathematics》 2024年第4期283-302,共20页
Considering Pythagorician divisors theory which leads to a new parameterization, for Pythagorician triplets ( a,b,c )∈ ℕ 3∗ , we give a new proof of the well-known problem of these particular squareless numbers n∈ ℕ... Considering Pythagorician divisors theory which leads to a new parameterization, for Pythagorician triplets ( a,b,c )∈ ℕ 3∗ , we give a new proof of the well-known problem of these particular squareless numbers n∈ ℕ ∗ , called congruent numbers, characterized by the fact that there exists a right-angled triangle with rational sides: ( A α ) 2 + ( B β ) 2 = ( C γ ) 2 , such that its area Δ= 1 2 A α B β =n;or in an equivalent way, to that of the existence of numbers U 2 , V 2 , W 2 ∈ ℚ 2∗ that are in an arithmetic progression of reason n;Problem equivalent to the existence of: ( a,b,c )∈ ℕ 3∗ prime in pairs, and f∈ ℕ ∗ , such that: ( a−b 2f ) 2 , ( c 2f ) 2 , ( a+b 2f ) 2 are in an arithmetic progression of reason n;And this problem is also equivalent to that of the existence of a non-trivial primitive integer right-angled triangle: a 2 + b 2 = c 2 , such that its area Δ= 1 2 ab=n f 2 , where f∈ ℕ ∗ , and this last equation can be written as follows, when using Pythagorician divisors: (1) Δ= 1 2 ab= 2 S−1 d e ¯ ( d+ 2 S−1 e ¯ )( d+ 2 S e ¯ )=n f 2;Where ( d, e ¯ )∈ ( 2ℕ+1 ) 2 such that gcd( d, e ¯ )=1 and S∈ ℕ ∗ , where 2 S−1 , d, e ¯ , d+ 2 S−1 e ¯ , d+ 2 S e ¯ , are pairwise prime quantities (these parameters are coming from Pythagorician divisors). When n=1 , it is the case of the famous impossible problem of the integer right-angled triangle area to be a square, solved by Fermat at his time, by his famous method of infinite descent. We propose in this article a new direct proof for the numbers n=1 (resp. n=2 ) to be non-congruent numbers, based on an particular induction method of resolution of Equation (1) (note that this method is efficient too for general case of prime numbers n=p≡a ( ( mod8 ) , gcd( a,8 )=1 ). To prove it, we use a classical proof by induction on k , that shows the non-solvability property of any of the following systems ( t=0 , corresponding to case n=1 (resp. t=1 , corresponding to case n=2 )): ( Ξ t,k ){ X 2 + 2 t ( 2 k Y ) 2 = Z 2 X 2 + 2 t+1 ( 2 k Y ) 2 = T 2 , where k∈ℕ;and solutions ( X,Y,Z,T )=( D k , E k , f k , f ′ k )∈ ( 2ℕ+1 ) 4 , are given in pairwise prime numbers.2020-Mathematics Subject Classification 11A05-11A07-11A41-11A51-11D09-11D25-11D41-11D72-11D79-11E25 . 展开更多
关键词 Prime Numbers-Diophantine Equations of Degree 2 & 4 Factorization Greater Common Divisor Pythagoras Equation Pythagorician Triplets Congruent Numbers Inductive Demonstration Method Infinite Descent BSD Conjecture
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Fields of Promise
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作者 INNOCENT NDAYIZIGIYE 《ChinAfrica》 2024年第6期40-41,共2页
Burundi and China enjoy close collaboration in a number of sectors,particularly agriculture.Among the major initiatives,the introduction of hybrid rice cultivation stands out as a flagship project.In 2018,the first de... Burundi and China enjoy close collaboration in a number of sectors,particularly agriculture.Among the major initiatives,the introduction of hybrid rice cultivation stands out as a flagship project.In 2018,the first demonstration village for hybrid rice cultivation was established in the commune of Gihanga in northwestern Burundi.In 2020,this initiative reached a crucial stage with the creation of the Burundi Agricultural Pilot Centre(APC),located in Gihanga in the province of Bubanza.A total of 56 villages spread across 11 of Burundi’s 18 provinces have been selected for demonstration as of now.Yang Huade,head of the team of high-level Chinese agricultural experts supporting Burundi and a rice cultivation specialist who is also in charge of the APC,revealed that trials are currently underway in four provinces:the capital Gitega,the central province of Muramvya,and the northern provinces of Ngozi and Kayanza. 展开更多
关键词 SUPPORTING CULTIVATION DEMONSTRATION
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