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ON INTEGRABILITY UP TO THE BOUNDARY OF THE WEAK SOLUTIONS TO A NON-NEWTONIAN FLUID 被引量:2
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作者 Shanshan GUO Zhong TAN 《Acta Mathematica Scientia》 SCIE CSCD 2019年第2期420-428,共9页
This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak so... This work consider boundary integrability of the weak solutions of a non-Newtonian compressible fluids in a bounded domain in dimension three, which has the constitutive equartions as ■The existence result of weak solutions can be get based on Galerkin approximation. With the linear operator B constructed by BOGOVSKII, we show that the density ■is square integrable up to the boundary. 展开更多
关键词 COMPRESSIBLE fluid WEAK SOLUTIONS non-Newtonian FLUIDS integrability
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Painlevé integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions 被引量:1
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作者 徐桂琼 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第5期75-82,共8页
By means of singularity structure analysis, the integrability of a generalized fifth-order KdV equation is investigated. It is proven that this equation passes the Painleve test for integrability only for three distin... By means of singularity structure analysis, the integrability of a generalized fifth-order KdV equation is investigated. It is proven that this equation passes the Painleve test for integrability only for three distinct cases. Moreover, the multi- soliton solutions are presented for this equation under three sets of integrable conditions. Finally, by selecting appropriate parameters, we analyze the evolution of two solitons, which is especially interesting as it may describe the overtaking and the head-on collisions of solitary waves of different shapes and different types. 展开更多
关键词 generalized fifth-order KdV equation Painleve integrability soliton solution symbolic computa-tion
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Classical integrability of strings in γ-deformed backgrounds
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作者 解小宁 岳瑞宏 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第11期4153-4157,共5页
This paper considers classical strings propagating in γ-deformed AdS3 γ S^3 backgrounds generated by certain shift T-dualities accompanied (TsT) transformations on S^3 and AdS3, respectively. It finds that the U(... This paper considers classical strings propagating in γ-deformed AdS3 γ S^3 backgrounds generated by certain shift T-dualities accompanied (TsT) transformations on S^3 and AdS3, respectively. It finds that the U(1) currents of strings with the twisted boundary conditions are equal to those in γ-deformed backgrounds generated by TsT transformations on both S3 and ADS3. Applying the TsT transformations, it derives the local Lax connections and the monodromy matrices in γ-deformed backgrounds with the spectral parameter which ensure the classical integrability of the string theories. 展开更多
关键词 TsT transformation Lax connection monodromy matrix integrability
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Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation
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作者 Han-Ze Liu Li-Xiang Zhang 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第4期138-143,共6页
This paper is concerned with the generalized variable-coefficient nonlinear evolution equation(vc-NLEE).The complete integrability classification is presented,and the integrable conditions for the generalized variab... This paper is concerned with the generalized variable-coefficient nonlinear evolution equation(vc-NLEE).The complete integrability classification is presented,and the integrable conditions for the generalized variable-coefficient equations are obtained by the Painlevé analysis.Then,the exact explicit solutions to these vc-NLEEs are investigated by the truncated expansion method,and the Lax pairs(LP) of the vc-NLEEs are constructed in terms of the integrable conditions. 展开更多
关键词 Painlevé test integrability classification Lax pair truncated expansion exact solution
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Painlevé integrability of the supersymmetric Ito equation
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作者 Feng-Jie Cen Yan-Dan Zhao +2 位作者 Shuang-Yun Fang Huan Meng Jun Yu 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第9期83-86,共4页
A supersymmetric version of the Ito equation is proposed by extending the independent and dependent variables for the classic Ito equation.To investigate the integrability of the N = 1 supersymmetric Ito(sIto) equatio... A supersymmetric version of the Ito equation is proposed by extending the independent and dependent variables for the classic Ito equation.To investigate the integrability of the N = 1 supersymmetric Ito(sIto) equation, a singularity structure analysis for this system is carried out.Through a detailed analysis in two cases by using Kruskal’s simplified method, the sIto system is found to pass the Painlevé test, and thus is Painlevé integrable. 展开更多
关键词 supersymmetric Ito equation Painlevé analysis integrability
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Painleve Integrability, Consistent Riccati Expansion Solvability and Interaction Solution for the Coupled mKdV-BLMP System
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作者 陈俊超 马正义 胡亚红 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第1期1-5,共5页
The integrability of the coupled, modified KdV equation and the potential Boiti-Leon-Manna-Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system ... The integrability of the coupled, modified KdV equation and the potential Boiti-Leon-Manna-Pempinelli (mKdV-BLMP) system is investigated using the Painlevé analysis approach. It is shown that this coupled system possesses the Painlevé property in both the principal and secondary branches. Then, the consistent Riccati expansion (CRE) method is applied to the coupled mKdV-BLMP system. As a result, it is CRE solvable for the principal branch while non-CRE solvable for the secondary branch. Finally, starting from the last consistent differential equation in the CRE solvable case, soliton, multiple resonant soliton solutions and soliton-cnoidal wave interaction solutions are constructed explicitly. 展开更多
关键词 KdV Painleve integrability Consistent Riccati Expansion Solvability and Interaction Solution for the Coupled mKdV-BLMP System
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THE CONFOCAL INVOLUTIVE SYSTEM AND THE INTEGRABILITY OF THE NONLINEARIZED LAX SYSTEMS FOR AKNS HIERARCHY
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作者 马文秀 《Acta Mathematica Scientia》 SCIE CSCD 1990年第3期241-249,共9页
The completely integrable Hamiltonian systems generated by the general confocal involutive system are proposed. It is proved that the nonlinearized eigenvalue problem for AKNS hierarchy is such an integrable system an... The completely integrable Hamiltonian systems generated by the general confocal involutive system are proposed. It is proved that the nonlinearized eigenvalue problem for AKNS hierarchy is such an integrable system and showed that the time evolution equations for n≤3 obtained by nonlinearizing the time parts of Lax systems for AKNS hierarchy are Liouville integrable under the constraint of the spatial part. 展开更多
关键词 THE CONFOCAL INVOLUTIVE SYSTEM AND THE integrability OF THE NONLINEARIZED LAX SYSTEMS FOR AKNS HIERARCHY 尹公
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ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF MARCINKIEWICZ INTEGRALS WITH ROUGH KERNELS 被引量:2
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作者 Ronghui LIU Feng LIU Huoxiong WU 《Acta Mathematica Scientia》 SCIE CSCD 2021年第1期241-256,共16页
This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on t... This paper studies the mixed radial-angular integrability of parametric Marcinkiewicz integrals along"polynomial curves".Under the assumption that the kernels satisfy certain rather weak size conditions on the unit sphere with radial roughness,the authors prove that such operators are bounded on the mixed radial-angular spaces.Meanwhile,corresponding vector-valued versions are also obtained. 展开更多
关键词 Marcinkiewicz integrals rough kernels mixed radial-angular spaces
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Nonlocal Symmetries and Geometric Integrability of Multi-Component Camassa-Holm and Hunter-Saxton Systems
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作者 YAN Lu SONG Jun-Feng QU Chang-Zheng 《Chinese Physics Letters》 SCIE CAS CSCD 2011年第5期12-15,共4页
We present the multi-component Hunter-Saxton andμ-Camassa-Holm systems.It is shown that the multicomponent Camassa-Holm,Hunter-Saxton andμ-Camassa-Holm systems are geometrically integrable,namely they describe pseud... We present the multi-component Hunter-Saxton andμ-Camassa-Holm systems.It is shown that the multicomponent Camassa-Holm,Hunter-Saxton andμ-Camassa-Holm systems are geometrically integrable,namely they describe pseudo-spherical surfaces.As a consequence,their infinite number of conservation laws can be directly constructed.For the three-component Camassa-Holm and Hunter-Saxton systems,their nonlocal symmetries depending on the pseudo-potentials are obtained. 展开更多
关键词 INTEGRABLE infinite CONSEQUENCE
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PARTIAL BOCHNER INTEGRABILITY (I)
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作者 陈泽乾 《Acta Mathematica Scientia》 SCIE CSCD 1999年第3期293-299,共7页
This paper is concerned with partial Bochner integrals with emphasis on a geometrical study of partial Bochner integrability. Convex sets involving the range of L-1-bounded functions are constructed. These constructio... This paper is concerned with partial Bochner integrals with emphasis on a geometrical study of partial Bochner integrability. Convex sets involving the range of L-1-bounded functions are constructed. These constructions provide a complete characterization of partial Bochner integrable functions. 展开更多
关键词 Banach space norming set partial Bochner integral
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ON THE GAUSSIAN KINEMATIC FORMULA OF R.ADLER AND J.TAYLOR
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作者 Joseph H.G.Fu 《Acta Mathematica Scientia》 2025年第1期200-214,共15页
We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor.The idea,suggested already by Adler and Taylor,is to view the GKF as the limit of spherical kin... We apply methods of algebraic integral geometry to prove a special case of the Gaussian kinematic formula of Adler-Taylor.The idea,suggested already by Adler and Taylor,is to view the GKF as the limit of spherical kinematic formulas for spheres of large dimension N and curvature1/N. 展开更多
关键词 integral geometry kinematic formula probability density Gaussian density
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ISOPERIMETRIC INEQUALITIES FOR INTEGRAL GEOMETRIC INVARIANTS OF RANDOM LINES
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作者 Gaoyong ZHANG 《Acta Mathematica Scientia》 2025年第1期189-199,共11页
Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown.Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
关键词 isoperimetric inequality convex body random points random lines chord integral Riesz potential ENTROPY
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Some Results on the Multi-Parameters Mittag-Leffler Function
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作者 PAN Yu-mei LI Yu-fen +1 位作者 CAI Dong-xin YAN Xing-jie 《Chinese Quarterly Journal of Mathematics》 2025年第1期82-92,共11页
In this article,the multi-parameters Mittag-Leffler function is studied in detail.As a consequence,a series of novel results such as the integral representation,series representation and Mellin transform to the above ... In this article,the multi-parameters Mittag-Leffler function is studied in detail.As a consequence,a series of novel results such as the integral representation,series representation and Mellin transform to the above function,are obtained.Especially,we associate the multi-parameters Mittag-Leffler function with two special functions which are the generalized Wright hypergeometric and the Fox’s-H functions.Meanwhile,some interesting integral operators and derivative operators of this function,are also discussed. 展开更多
关键词 Multi-parameters Mittag-Leffler function Special functions Riemann-Liouville integral
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Adaptive multi-agent reinforcement learning for dynamic pricing and distributed energy management in virtual power plant networks
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作者 Jian-Dong Yao Wen-Bin Hao +3 位作者 Zhi-Gao Meng Bo Xie Jian-Hua Chen Jia-Qi Wei 《Journal of Electronic Science and Technology》 2025年第1期35-59,共25页
This paper presents a novel approach to dynamic pricing and distributed energy management in virtual power plant(VPP)networks using multi-agent reinforcement learning(MARL).As the energy landscape evolves towards grea... This paper presents a novel approach to dynamic pricing and distributed energy management in virtual power plant(VPP)networks using multi-agent reinforcement learning(MARL).As the energy landscape evolves towards greater decentralization and renewable integration,traditional optimization methods struggle to address the inherent complexities and uncertainties.Our proposed MARL framework enables adaptive,decentralized decision-making for both the distribution system operator and individual VPPs,optimizing economic efficiency while maintaining grid stability.We formulate the problem as a Markov decision process and develop a custom MARL algorithm that leverages actor-critic architectures and experience replay.Extensive simulations across diverse scenarios demonstrate that our approach consistently outperforms baseline methods,including Stackelberg game models and model predictive control,achieving an 18.73%reduction in costs and a 22.46%increase in VPP profits.The MARL framework shows particular strength in scenarios with high renewable energy penetration,where it improves system performance by 11.95%compared with traditional methods.Furthermore,our approach demonstrates superior adaptability to unexpected events and mis-predictions,highlighting its potential for real-world implementation. 展开更多
关键词 Distributed energy management Dynamic pricing Multi-agent reinforcement learning Renewable energy integration Virtual power plants
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Two new shaped coal pillars designed to protect the subsurface pipeline in the gas-coal integrated mining field
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作者 Yixin Zhao Jiandong Ren Zhongbo Sun 《International Journal of Mining Science and Technology》 2025年第3期325-344,共20页
In the gas-coal integrated mining field,the conventional design method of pipeline coal pillars leads to a large amount of coal pillars being unrecovered and overlooks the pipeline's safety requirements.Considerin... In the gas-coal integrated mining field,the conventional design method of pipeline coal pillars leads to a large amount of coal pillars being unrecovered and overlooks the pipeline's safety requirements.Considering the coal pillar recovery rate and pipeline's safety requirements,two new shaped coal pillar design approaches for subsurface pipelines were developed.Firstly,the deformation limitations for measuring pipeline safety are categorized into two:no deformation is permitted,and deformation is acceptable within elastic limits.Subsequently,integrating the key stratum theory(KST)and cave angle,a fishbone-shaped coal pillar design approach that does not permit pipeline deformation is established.Meanwhile,combined with the ground subsidence and the pipeline's elastic deformation limit,a grille-shaped coal pillar design approach that accepts deformation pipelines within elastic limits is established.Those two new approaches clarify parameters including mined width,coal pillar width and mined length.Finally,the case study shows that the designed mined width,coal pillar width and mined length of the fishbone-shaped coal pillar are 90,80,and 130 m,while those of the grille-shaped are 320,370,and640 m.Compared with the conventional method,the fishbone-shaped and grille-shaped coal pillar design approaches recovered coal pillar resources of 2.65×10~6and 5.81×10~6t on the premise of meeting the pipeline safety requirements,and the recovery rates increased by 20.5%and 45.0%,with expenditures representing only 56.46%and 20.02%of the respective benefits.These new approaches provide managers with diverse options for protecting pipeline safety while promoting coal pillar recovery,which is conducive to the harmonic mining of gas-coal resources. 展开更多
关键词 Subsurface pipeline Coal pillar recovery rate Safe requirement Fishbone-shaped coal pillar Grille-shaped coal pillar Gas-coal integrated mining field
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The Roadmap of 2D Materials and Devices Toward Chips 被引量:5
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作者 Anhan Liu Xiaowei Zhang +16 位作者 Ziyu Liu Yuning Li Xueyang Peng Xin Li Yue Qin Chen Hu Yanqing Qiu Han Jiang Yang Wang Yifan Li Jun Tang Jun Liu Hao Guo Tao Deng Songang Peng He Tian Tian‑Ling Ren 《Nano-Micro Letters》 SCIE EI CAS CSCD 2024年第6期343-438,共96页
Due to the constraints imposed by physical effects and performance degra certain limitations in sustaining the advancement of Moore’s law.Two-dimensional(2D)materials have emerged as highly promising candidates for t... Due to the constraints imposed by physical effects and performance degra certain limitations in sustaining the advancement of Moore’s law.Two-dimensional(2D)materials have emerged as highly promising candidates for the post-Moore era,offering significant potential in domains such as integrated circuits and next-generation computing.Here,in this review,the progress of 2D semiconductors in process engineering and various electronic applications are summarized.A careful introduction of material synthesis,transistor engineering focused on device configuration,dielectric engineering,contact engineering,and material integration are given first.Then 2D transistors for certain electronic applications including digital and analog circuits,heterogeneous integration chips,and sensing circuits are discussed.Moreover,several promising applications(artificial intelligence chips and quantum chips)based on specific mechanism devices are introduced.Finally,the challenges for 2D materials encountered in achieving circuit-level or system-level applications are analyzed,and potential development pathways or roadmaps are further speculated and outlooked. 展开更多
关键词 Two-dimensional materials ROADMAP Integrated circuits Post-Moore era
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Prediction models of burst strength degradation for casing with considerations of both wear and corrosion 被引量:3
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作者 Jie-Li Wang Wen-Jun Huang De-Li Gao 《Petroleum Science》 SCIE EI CAS CSCD 2024年第1期458-474,共17页
Casing wear and casing corrosion are serious problems affecting casing integrity failure in deep and ultra-deep wells.This paper aims to predict the casing burst strength with considerations of both wear and corrosion... Casing wear and casing corrosion are serious problems affecting casing integrity failure in deep and ultra-deep wells.This paper aims to predict the casing burst strength with considerations of both wear and corrosion.Firstly,the crescent wear shape is simplified into three categories according to common mathematical models.Then,based on the mechano-electrochemical(M-E)interaction,the prediction model of corrosion depth is built with worn depth as the initial condition,and the prediction models of burst strength of the worn casing and corroded casing are obtained.Secondly,the accuracy of different prediction models is validated by numerical simulation,and the main influence factors on casing strength are obtained.At last,the theoretical models are applied to an ultra-deep well in Northwest China,and the dangerous well sections caused by wear and corrosion are predicted,and the corrosion rate threshold to ensure the safety of casing is obtained.The results show that the existence of wear defects results in a stress concentration and enhanced M-E interaction on corrosion depth growth.The accuracy of different mathematical models is different:the slot ring model is most accurate for predicting corrosion depth,and the eccentric model is most accurate for predicting the burst strength of corroded casing.The burst strength of the casing will be overestimated by more than one-third if the M-E interaction is neglected,so the coupling effect of wear and corrosion should be sufficiently considered in casing integrity evaluation. 展开更多
关键词 Deep well Casing integrity Casing wear Casing corrosion Burst strength
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3D‑Printed Carbon‑Based Conformal Electromagnetic Interference Shielding Module for Integrated Electronics 被引量:4
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作者 Shaohong Shi Yuheng Jiang +5 位作者 Hao Ren Siwen Deng Jianping Sun Fangchao Cheng Jingjing Jing Yinghong Chen 《Nano-Micro Letters》 SCIE EI CAS CSCD 2024年第5期87-101,共15页
Electromagnetic interference shielding(EMI SE)modules are the core com-ponent of modern electronics.However,the tra-ditional metal-based SE modules always take up indispensable three-dimensional space inside electroni... Electromagnetic interference shielding(EMI SE)modules are the core com-ponent of modern electronics.However,the tra-ditional metal-based SE modules always take up indispensable three-dimensional space inside electronics,posing a major obstacle to the integra-tion of electronics.The innovation of integrating 3D-printed conformal shielding(c-SE)modules with packaging materials onto core electronics offers infinite possibilities to satisfy ideal SE func-tion without occupying additional space.Herein,the 3D printable carbon-based inks with various proportions of graphene and carbon nanotube nanoparticles are well-formulated by manipulating their rheological peculiarity.Accordingly,the free-constructed architectures with arbitrarily-customized structure and multifunctionality are created via 3D printing.In particular,the SE performance of 3D-printed frame is up to 61.4 dB,simultaneously accompanied with an ultralight architecture of 0.076 g cm^(-3) and a superhigh specific shielding of 802.4 dB cm3 g^(-1).Moreover,as a proof-of-concept,the 3D-printed c-SE module is in situ integrated into core electronics,successfully replacing the traditional metal-based module to afford multiple functions for electromagnetic compatibility and thermal dissipa-tion.Thus,this scientific innovation completely makes up the blank for assembling carbon-based c-SE modules and sheds a brilliant light on developing the next generation of high-performance shielding materials with arbitrarily-customized structure for integrated electronics. 展开更多
关键词 3D printing Carbon-based nanoparticles Conformal electromagnetic interference shielding Integrated electronics
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Electro-spraying/spinning: A novel battery manufacturing technology 被引量:2
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作者 Zhuan Hu Jiaxin Hao +4 位作者 Dongyang Shen Caitian Gao Zhaomeng Liu Jianguo Zhao Bingan Lu 《Green Energy & Environment》 SCIE EI CAS CSCD 2024年第1期81-88,共8页
Lithium-ion battery(LIB) industry seems to have met its bottle neck in cutting down producing costs even though much efforts have been put into building a complete industrial chain. Actually, manufacturing methods can... Lithium-ion battery(LIB) industry seems to have met its bottle neck in cutting down producing costs even though much efforts have been put into building a complete industrial chain. Actually, manufacturing methods can greatly affect the cost of battery production. Up to now, lithium ion battery producers still adopt manufacturing methods with cumbersome sub-components preparing processes and costly assembling procedures, which will undoubtedly elevate the producing cost. Herein, we propose a novel approach to directly assemble battery components(cathode, anode and separator) in an integrated way using electro-spraying and electro-spinning technologies. More importantly, this novel battery manufacturing method can produce LIBs in large scale, and the products show excellent mechanical strength, flexibility, thermal stability and electrolyte wettability. Additionally, the performance of the as-prepaed Li Fe PO_(4)||graphite full cell produced by this new method is comparable or even better than that produced by conventional manufacturing approach. In brief, this work provides a new promising technology to prepare LIBs with low cost and better performance. 展开更多
关键词 Electro-spraying Electro-spinning Integrated electrode Lithium-ion battery
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基于SOA的光子脉冲LIF神经元研究
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作者 薛利梅 魏艳龙 +3 位作者 杨潞霞 阴桂梅 马会芳 韩丙辰 《激光杂志》 CAS 北大核心 2024年第8期110-114,共5页
脉冲神经网络与传统人工神经网络相比,具有硬件友好性和低能耗的优点。而光子脉冲神经网络与电脉冲神经网络相比具有速度快、能耗低、传输容量大和抗电磁干扰能力强等优点。基于半导体光放大器(SOA)设计了一种新的光子脉冲神经元模型—L... 脉冲神经网络与传统人工神经网络相比,具有硬件友好性和低能耗的优点。而光子脉冲神经网络与电脉冲神经网络相比具有速度快、能耗低、传输容量大和抗电磁干扰能力强等优点。基于半导体光放大器(SOA)设计了一种新的光子脉冲神经元模型—LIF(泄漏积分与发射)模型,实现了信号的加权、延迟、积分和阈值判决等功能,并在此基础上探索了该LIF模型在数字逻辑中的应用。实现了基于该模型的“异或”逻辑功能,并改进了一种具有兴奋性和抑制性神经元,通过光通信仿真软件得到LIF模型、“异或”逻辑和具有兴奋性和抑制性神经元良好的输出。 展开更多
关键词 光通信 全光逻辑 LIF神经元(leakage integration and fire) 光子脉冲神经元
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