This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm fo...This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm for doubly bordered tridiagonal matrix is also considered based on the Sherman-Morrison-Woodbury formula. The algorithms are implemented using the computer algebra system, MAPLE. Some illustrative examples are given.展开更多
The present article is mainly devoted for solving bordered k-tridiagonal linear systems of equations. Two efficient and reliable symbolic algorithms for solving such systems are constructed. The computational cost of ...The present article is mainly devoted for solving bordered k-tridiagonal linear systems of equations. Two efficient and reliable symbolic algorithms for solving such systems are constructed. The computational cost of the algorithms is obtained. Some illustrative examples are given.展开更多
In the current paper, the authors present a symbolic algorithm for solving doubly bordered k-tridiagonal linear system having n equations and n unknowns. The proposed algorithm is derived by using partition together w...In the current paper, the authors present a symbolic algorithm for solving doubly bordered k-tridiagonal linear system having n equations and n unknowns. The proposed algorithm is derived by using partition together with UL factorization. The cost of the algorithm is O(n). The algorithm is implemented using the computer algebra system, MAPLE. Some illustrative examples are given.展开更多
In this paper, the Nevanlinna class of holomorphlc functions on compact bordered Riemann surface Ω is discussed. This class is denoted by N(Ω), containing the class H^p(Ω). It is proved that f∈N(Ω) if and only if...In this paper, the Nevanlinna class of holomorphlc functions on compact bordered Riemann surface Ω is discussed. This class is denoted by N(Ω), containing the class H^p(Ω). It is proved that f∈N(Ω) if and only if f=φ/ψ,where φ and ψ are bounded holomorphic functions in Ω,and the Fatou boundary property is discussed.展开更多
The China-Laos Railway(CLR),connecting two nations,has created a new paradigm for international cooperation on border management.On September 4,2025,China and Laos signed an intergovernmental agreement on"juxtapo...The China-Laos Railway(CLR),connecting two nations,has created a new paradigm for international cooperation on border management.On September 4,2025,China and Laos signed an intergovernmental agreement on"juxtaposed border control"arrangements for the CLR,the first such agreement between China and a neighboring country.展开更多
This year marks the 65th anniversary of diplomatic relations between China and Laos.As neighbors sharing a common border,the two nations are comrades and brothers.When China proposed the vision of building a community...This year marks the 65th anniversary of diplomatic relations between China and Laos.As neighbors sharing a common border,the two nations are comrades and brothers.When China proposed the vision of building a community with a shared future for humanity,Laos became the first to reach political consensus on establishing such a bilateral community with China.展开更多
Numerous economically underdeveloped and ecologically fragile areas in southern China's mountainous regions face increasing challenges in achieving sustainable development. A comparative analysis of ecosystem serv...Numerous economically underdeveloped and ecologically fragile areas in southern China's mountainous regions face increasing challenges in achieving sustainable development. A comparative analysis of ecosystem service responses to land use scenarios, incorporating adaptive valuation coefficients, can reveal actionable pathways to reconcile sustainable development and ecological conservation in mountainous regions. In this study, the ecosystem service value(ESV) dynamics in the Hunan–Jiangxi Border Region(HJBR), which is a representative old revolutionary base with a relatively undeveloped economy, were investigated by integrating historical land use data analysis from 2000 to 2020 and adopting patch-generating land use simulation(PLUS) modelling. Three policy-responsive scenarios, namely, natural growth(NGS), farmland protection(FPS), and ecological protection(EPS), were systematically developed to project ESV variations for 2030 and 2040. Our analysis revealed that from 2000 to 2020, urban sprawl and water body expansion occurred at the expense of forestland, cultivated land, and grassland, yet yield-driven productivity improvements increased the ESV by 227.30%(equivalent to ¥250.0 billion). By 2040, the NGS achieves the greatest ESV increase(¥189.895 billion) while fully accommodating urban land demand;the FPS yields the smallest ESV increase(¥148.169 billion), with the EPS occupying an intermediate position(¥182.207 billion). Climate regulation and hydrological services dominate ecological functions, collectively exceeding 49% across all the scenarios and periods. By 2040, most service functions exhibit growth trends except for a 0.30% water supply decline under the FPS, whereas the EPS demonstrates balanced development through multidimensional service enhancements. These findings underscore the necessity of integrating ecological safeguards into land use planning frameworks to ensure sustainable regional development.展开更多
The dedicated freight channel at the Youyiguan Border Gate in south China’s Guangxi Zhuang Autonomous Region buzzes with activity as trucks loaded with export goods move steadily through customs.Thanks to a system up...The dedicated freight channel at the Youyiguan Border Gate in south China’s Guangxi Zhuang Autonomous Region buzzes with activity as trucks loaded with export goods move steadily through customs.Thanks to a system upgraded at the start of 2026,clearance personnel at this China-Vietnam crossing simply place an order online,and the entire process is handled almost instantly via an intelligent platform.Adding to the efficiency,the border gate also features dedicated lanes that support driverless container trucks.展开更多
Traumatic spinal cord injury(SCI)is a devastating central nervous system(CNS)disorder characterized by significant neurological dysfunction and sensory loss,and effective therapies that prevent neuronal loss and funct...Traumatic spinal cord injury(SCI)is a devastating central nervous system(CNS)disorder characterized by significant neurological dysfunction and sensory loss,and effective therapies that prevent neuronal loss and functional recovery remain elusive.After SCI,lesions are surrounded by neuroprotective borders formed by newly proliferated reactive astrocytes.Astrocyte proliferation and activation mediate the formation and function of the glial scar and influence the balance between protection and inflammation.展开更多
Based on elastic wave propagation theory, the dispersion equation for a thin anisotropic plate (such as commonly used Zinc okide in micro-transducers) bordered with liquid layers is derived. Higher symmetry crystals, ...Based on elastic wave propagation theory, the dispersion equation for a thin anisotropic plate (such as commonly used Zinc okide in micro-transducers) bordered with liquid layers is derived. Higher symmetry crystals, such as orthorhombic, tetragonal, cubic, isotropic, are included in this analysis as well. For the case of one liquid layer loading, numerical calcu- lations show that the phase velocity changes periodically with the thickness of the liquld layer. When the thickness 2d of the anisotropic plate is very small, mass sensing application of Ao mode Lamb wave is also discussed.展开更多
This study analyzes the potential impact of EU carbon border regulation mechanism(CBAM)on the export of China’s carbon-intensive products.First,we summarized the main content of the CBAM.Next,based on the input-outpu...This study analyzes the potential impact of EU carbon border regulation mechanism(CBAM)on the export of China’s carbon-intensive products.First,we summarized the main content of the CBAM.Next,based on the input-output theory,this study proposes a calculation model for the implicit carbon emissions and indirect carbon emissions from electricity consumption in export products and presents the corresponding calculation results.Based on the scenario analysis method,six carbon tariffscenarios were designed to evaluate the impact of the CBAM on the major export sectors under each scenario.The results showed that in 2021,the implicit carbon emissions in all products exported to Europe from China were approximately 375 million tons,of which the indirect carbon emissions from electricity were approximately 41.8 million tons,accounting for more than 10%.According to the current levy plan,China is expected to be subject to carbon tariffs of approximately USD 1.4 billion,accounting for 0.3%of its total export value to Europe in 2021.Finally,to reduce the adverse effects of CBAM,four measures were proposed from the perspective of the power industry.展开更多
This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical...This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical-legal analysis of key legislation,policies,and judicial interpretations,the research demonstrates how colonial border regulations-primarily designed for imperial control-have been selectively preserved,modified,or replaced to serve post-independence imperatives.Findings reveal that 62%of colonial border management mechanisms persisted verbatim in post-colonial legislation,while regional variations created overlapping“legal border zones”with differential adaptation rates.The study identifies a significant shift from administrative boundaries toward securitized frontiers,with a 217%increase in religious and ethnic identifiers in post-1947 border legislation.This legal evolution reflects broader tensions between decolonization aspirations and inherited governance structures,creating what Cons(2016)terms“sensitive spaces”where exceptional legal regimes continue to operate.The research contributes to understanding how post-colonial states navigate the paradox of maintaining sovereignty through legal instruments originally designed for imperial control,with implications for borderland populations who experience persistent“legal liminality”despite constitutional protections.展开更多
At the global themed event of 2025 Lanting Culture Salon:Chinese Calligraphy,we witnessed the inheritance and innovation of the art of calligraphy.Artists,based on the traditional calligraphy,incorporated new creativi...At the global themed event of 2025 Lanting Culture Salon:Chinese Calligraphy,we witnessed the inheritance and innovation of the art of calligraphy.Artists,based on the traditional calligraphy,incorporated new creativity and elements,having the art of calligraphy radiate new vitality and vigor.These activities broke through the traditional exhibition mode by adopting innovative forms such as digital interaction,cross-border creation and immersive experiences.This allowed the visitors to experience the charm of the art of calligraphy through interaction,further promoting communication and popularization of calligraphy culture.展开更多
Preface Here I document some personal memories of Professor Rong-Sheng Zeng,particularly how he had long-lasting influences on the work of my research groups in the USA and in China.The narrative directly crosses poli...Preface Here I document some personal memories of Professor Rong-Sheng Zeng,particularly how he had long-lasting influences on the work of my research groups in the USA and in China.The narrative directly crosses political boundaries,including those of the USA and China.Indirectly,it also involves collaboration of researchers and institutions from Türkiye,Germany,France,Nepal,Russia,the Solomon Islands,and New Caledonia.Collectively,my narrative demonstrates the far-reaching,“butterfly effect”of a dedicated,kind geophysicist in China.展开更多
As the EU's carbon border tax approaches implementation and Generation Z increasingly prioritizes sustainability in their purchasing decisions,ESG has evolved from a moral concern to business survival challenges.B...As the EU's carbon border tax approaches implementation and Generation Z increasingly prioritizes sustainability in their purchasing decisions,ESG has evolved from a moral concern to business survival challenges.By analyzing the latest ESG reports released by prominent apparel brands in the China garment industry,including Bosideng,Anta,Youngor,Li-Ning,and Lilanz,we can see it’s not about a series of emission reduction data but a comprehensive innovation encompassing products,processes,and the entire value chain.展开更多
THE people of Xinjiang have always needed to be resilient.Over four-hour flight time from Beijing,Xinjiang Uygur Autonomous Region is located on China’s western border.Historically,Xinjiang’s people have needed to h...THE people of Xinjiang have always needed to be resilient.Over four-hour flight time from Beijing,Xinjiang Uygur Autonomous Region is located on China’s western border.Historically,Xinjiang’s people have needed to hold steadfast against invaders while encouraging trade between China and central Asia,Europe and beyond.For 25 years until 2016,they also witnessed multiple atrocities perpetrated by separatists.展开更多
Mongolia is a landlocked country with limited infrastructure and high dependence on the Xingang Tianjin port in China for imports. This research examines the potential impacts of establishing a dry port in Zamyn-Uud, ...Mongolia is a landlocked country with limited infrastructure and high dependence on the Xingang Tianjin port in China for imports. This research examines the potential impacts of establishing a dry port in Zamyn-Uud, Mongolia, utilizing a system dynamics modeling approach via Vensim software. The study evaluates transportation time, costs, inflation, and logistics performance index improvements, revealing that the establishment of the dry port can reduce transportation costs and delays significantly while enhancing economic growth. The findings offer actionable insights for policymakers and stakeholders in addressing logistical inefficiencies and fostering sustainable development in landlocked regions.展开更多
President Xi Jinping’s message at the Asian Winter Games shows China is seizing the opportunities presented by cross-border winter sports to promote economic growth and international exchanges.
After Donald Trump returned to the White House,the U.S.government launched a host of measures of“tariff wars”.In addition to announcing tariffs on goods imported to the United States from Canada,Mexico and China,the...After Donald Trump returned to the White House,the U.S.government launched a host of measures of“tariff wars”.In addition to announcing tariffs on goods imported to the United States from Canada,Mexico and China,the government also imposed trade restrictions on specific industries including steel,aluminum and copper,as well as advanced plan for“reciprocal tariffs”.Donald Trump claimed that a“tariff war”would correct trade imbalances,boost government revenue and promote the reshoring of manufacturing to the United States.By leveraging tariffs,the U.S.also attempts to achieve goals in border security,illegal immigration and fentanyl control.Undoubtedly at a central position in Trump’s second term in office,the“tariff war”will exert impacts far beyond economic and trade policies and upon the direction of China-U.S.relations.展开更多
文摘This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL factorization. Inversion algorithm for doubly bordered tridiagonal matrix is also considered based on the Sherman-Morrison-Woodbury formula. The algorithms are implemented using the computer algebra system, MAPLE. Some illustrative examples are given.
文摘The present article is mainly devoted for solving bordered k-tridiagonal linear systems of equations. Two efficient and reliable symbolic algorithms for solving such systems are constructed. The computational cost of the algorithms is obtained. Some illustrative examples are given.
文摘In the current paper, the authors present a symbolic algorithm for solving doubly bordered k-tridiagonal linear system having n equations and n unknowns. The proposed algorithm is derived by using partition together with UL factorization. The cost of the algorithm is O(n). The algorithm is implemented using the computer algebra system, MAPLE. Some illustrative examples are given.
文摘In this paper, the Nevanlinna class of holomorphlc functions on compact bordered Riemann surface Ω is discussed. This class is denoted by N(Ω), containing the class H^p(Ω). It is proved that f∈N(Ω) if and only if f=φ/ψ,where φ and ψ are bounded holomorphic functions in Ω,and the Fatou boundary property is discussed.
文摘The China-Laos Railway(CLR),connecting two nations,has created a new paradigm for international cooperation on border management.On September 4,2025,China and Laos signed an intergovernmental agreement on"juxtaposed border control"arrangements for the CLR,the first such agreement between China and a neighboring country.
文摘This year marks the 65th anniversary of diplomatic relations between China and Laos.As neighbors sharing a common border,the two nations are comrades and brothers.When China proposed the vision of building a community with a shared future for humanity,Laos became the first to reach political consensus on establishing such a bilateral community with China.
基金supported by the National Natural Science Foundation of China(No.4230130142401322)+2 种基金the Scientific Research Foundation of Hunan Provincial Education Department,China(No.22A0159No.22B0191)the Fund Project of Key Laboratory of Rule of Law Research of Ministry of Natural Resources(CUGFZ-2204)。
文摘Numerous economically underdeveloped and ecologically fragile areas in southern China's mountainous regions face increasing challenges in achieving sustainable development. A comparative analysis of ecosystem service responses to land use scenarios, incorporating adaptive valuation coefficients, can reveal actionable pathways to reconcile sustainable development and ecological conservation in mountainous regions. In this study, the ecosystem service value(ESV) dynamics in the Hunan–Jiangxi Border Region(HJBR), which is a representative old revolutionary base with a relatively undeveloped economy, were investigated by integrating historical land use data analysis from 2000 to 2020 and adopting patch-generating land use simulation(PLUS) modelling. Three policy-responsive scenarios, namely, natural growth(NGS), farmland protection(FPS), and ecological protection(EPS), were systematically developed to project ESV variations for 2030 and 2040. Our analysis revealed that from 2000 to 2020, urban sprawl and water body expansion occurred at the expense of forestland, cultivated land, and grassland, yet yield-driven productivity improvements increased the ESV by 227.30%(equivalent to ¥250.0 billion). By 2040, the NGS achieves the greatest ESV increase(¥189.895 billion) while fully accommodating urban land demand;the FPS yields the smallest ESV increase(¥148.169 billion), with the EPS occupying an intermediate position(¥182.207 billion). Climate regulation and hydrological services dominate ecological functions, collectively exceeding 49% across all the scenarios and periods. By 2040, most service functions exhibit growth trends except for a 0.30% water supply decline under the FPS, whereas the EPS demonstrates balanced development through multidimensional service enhancements. These findings underscore the necessity of integrating ecological safeguards into land use planning frameworks to ensure sustainable regional development.
文摘The dedicated freight channel at the Youyiguan Border Gate in south China’s Guangxi Zhuang Autonomous Region buzzes with activity as trucks loaded with export goods move steadily through customs.Thanks to a system upgraded at the start of 2026,clearance personnel at this China-Vietnam crossing simply place an order online,and the entire process is handled almost instantly via an intelligent platform.Adding to the efficiency,the border gate also features dedicated lanes that support driverless container trucks.
基金supported by a Grant-in-Aid of AMED under Grant Numbers(JP22gm1510009)to RM.
文摘Traumatic spinal cord injury(SCI)is a devastating central nervous system(CNS)disorder characterized by significant neurological dysfunction and sensory loss,and effective therapies that prevent neuronal loss and functional recovery remain elusive.After SCI,lesions are surrounded by neuroprotective borders formed by newly proliferated reactive astrocytes.Astrocyte proliferation and activation mediate the formation and function of the glial scar and influence the balance between protection and inflammation.
基金supported by the National Natural Science Foundation of China.
文摘Based on elastic wave propagation theory, the dispersion equation for a thin anisotropic plate (such as commonly used Zinc okide in micro-transducers) bordered with liquid layers is derived. Higher symmetry crystals, such as orthorhombic, tetragonal, cubic, isotropic, are included in this analysis as well. For the case of one liquid layer loading, numerical calcu- lations show that the phase velocity changes periodically with the thickness of the liquld layer. When the thickness 2d of the anisotropic plate is very small, mass sensing application of Ao mode Lamb wave is also discussed.
文摘This study analyzes the potential impact of EU carbon border regulation mechanism(CBAM)on the export of China’s carbon-intensive products.First,we summarized the main content of the CBAM.Next,based on the input-output theory,this study proposes a calculation model for the implicit carbon emissions and indirect carbon emissions from electricity consumption in export products and presents the corresponding calculation results.Based on the scenario analysis method,six carbon tariffscenarios were designed to evaluate the impact of the CBAM on the major export sectors under each scenario.The results showed that in 2021,the implicit carbon emissions in all products exported to Europe from China were approximately 375 million tons,of which the indirect carbon emissions from electricity were approximately 41.8 million tons,accounting for more than 10%.According to the current levy plan,China is expected to be subject to carbon tariffs of approximately USD 1.4 billion,accounting for 0.3%of its total export value to Europe in 2021.Finally,to reduce the adverse effects of CBAM,four measures were proposed from the perspective of the power industry.
文摘This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical-legal analysis of key legislation,policies,and judicial interpretations,the research demonstrates how colonial border regulations-primarily designed for imperial control-have been selectively preserved,modified,or replaced to serve post-independence imperatives.Findings reveal that 62%of colonial border management mechanisms persisted verbatim in post-colonial legislation,while regional variations created overlapping“legal border zones”with differential adaptation rates.The study identifies a significant shift from administrative boundaries toward securitized frontiers,with a 217%increase in religious and ethnic identifiers in post-1947 border legislation.This legal evolution reflects broader tensions between decolonization aspirations and inherited governance structures,creating what Cons(2016)terms“sensitive spaces”where exceptional legal regimes continue to operate.The research contributes to understanding how post-colonial states navigate the paradox of maintaining sovereignty through legal instruments originally designed for imperial control,with implications for borderland populations who experience persistent“legal liminality”despite constitutional protections.
文摘At the global themed event of 2025 Lanting Culture Salon:Chinese Calligraphy,we witnessed the inheritance and innovation of the art of calligraphy.Artists,based on the traditional calligraphy,incorporated new creativity and elements,having the art of calligraphy radiate new vitality and vigor.These activities broke through the traditional exhibition mode by adopting innovative forms such as digital interaction,cross-border creation and immersive experiences.This allowed the visitors to experience the charm of the art of calligraphy through interaction,further promoting communication and popularization of calligraphy culture.
基金supported by many grants from the National Science Foundation of the USA and the Natural Science Foundation of China under grant 91858205.
文摘Preface Here I document some personal memories of Professor Rong-Sheng Zeng,particularly how he had long-lasting influences on the work of my research groups in the USA and in China.The narrative directly crosses political boundaries,including those of the USA and China.Indirectly,it also involves collaboration of researchers and institutions from Türkiye,Germany,France,Nepal,Russia,the Solomon Islands,and New Caledonia.Collectively,my narrative demonstrates the far-reaching,“butterfly effect”of a dedicated,kind geophysicist in China.
文摘As the EU's carbon border tax approaches implementation and Generation Z increasingly prioritizes sustainability in their purchasing decisions,ESG has evolved from a moral concern to business survival challenges.By analyzing the latest ESG reports released by prominent apparel brands in the China garment industry,including Bosideng,Anta,Youngor,Li-Ning,and Lilanz,we can see it’s not about a series of emission reduction data but a comprehensive innovation encompassing products,processes,and the entire value chain.
文摘THE people of Xinjiang have always needed to be resilient.Over four-hour flight time from Beijing,Xinjiang Uygur Autonomous Region is located on China’s western border.Historically,Xinjiang’s people have needed to hold steadfast against invaders while encouraging trade between China and central Asia,Europe and beyond.For 25 years until 2016,they also witnessed multiple atrocities perpetrated by separatists.
文摘Mongolia is a landlocked country with limited infrastructure and high dependence on the Xingang Tianjin port in China for imports. This research examines the potential impacts of establishing a dry port in Zamyn-Uud, Mongolia, utilizing a system dynamics modeling approach via Vensim software. The study evaluates transportation time, costs, inflation, and logistics performance index improvements, revealing that the establishment of the dry port can reduce transportation costs and delays significantly while enhancing economic growth. The findings offer actionable insights for policymakers and stakeholders in addressing logistical inefficiencies and fostering sustainable development in landlocked regions.
文摘President Xi Jinping’s message at the Asian Winter Games shows China is seizing the opportunities presented by cross-border winter sports to promote economic growth and international exchanges.
文摘After Donald Trump returned to the White House,the U.S.government launched a host of measures of“tariff wars”.In addition to announcing tariffs on goods imported to the United States from Canada,Mexico and China,the government also imposed trade restrictions on specific industries including steel,aluminum and copper,as well as advanced plan for“reciprocal tariffs”.Donald Trump claimed that a“tariff war”would correct trade imbalances,boost government revenue and promote the reshoring of manufacturing to the United States.By leveraging tariffs,the U.S.also attempts to achieve goals in border security,illegal immigration and fentanyl control.Undoubtedly at a central position in Trump’s second term in office,the“tariff war”will exert impacts far beyond economic and trade policies and upon the direction of China-U.S.relations.
