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FAST DFT ALGORITHM WITH (N-1) / 2 MULTIPLICATIONS
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作者 Zhang YanzhongMinistry of Aero-Space Industry 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1990年第2期131-139,共9页
A fast algorithm is proposed for recursively computing the DFTs of prime length. Only (N-1) / 2 real multiplications are required to compute all N frequency components in terms of permuting the input data. The multipl... A fast algorithm is proposed for recursively computing the DFTs of prime length. Only (N-1) / 2 real multiplications are required to compute all N frequency components in terms of permuting the input data. The multiplication in recursive computation is replaced by shifting. Complexity of the algorithm is studied. A factor η is introduced and presented. When the ratio of multiplier's period Tm to adder's period Ta is greater than the factor η (i.e.Tm / Ta >η), the new algorithm is faster than FFT. The necessary condition and error of the algorithm are studied. The signal-to-noise ratio for different length N is presented. A high accuracy scheme is proposed for improving the SNR about 20 -30dB. 展开更多
关键词 DFT FAST DFT ALGORITHM WITH multiplications N-1 real length than ZHANG IIR high
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TWO FAST ALGORITHMS FOR COMPUTING POINT SCALAR MULTIPLICATIONS ON ELLIPTIC CURVES 被引量:1
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作者 YouLin WenQiaoyan XuMaozhi 《Journal of Electronics(China)》 2004年第5期366-375,共10页
The key operation in Elliptic Curve Cryptosystems(ECC) is point scalar multiplication. Making use of Frobenius endomorphism, Muller and Smart proposed two efficient algorithms for point scalar multiplications over eve... The key operation in Elliptic Curve Cryptosystems(ECC) is point scalar multiplication. Making use of Frobenius endomorphism, Muller and Smart proposed two efficient algorithms for point scalar multiplications over even or odd finite fields respectively. This paper reduces the corresponding multiplier by modulo Υk-1 +…+Υ+ 1 and improves the above algorithms. Implementation of our Algorithm 1 in Maple for a given elliptic curve shows that it is at least as twice fast as binary method. By setting up a precomputation table, Algorithm 2, an improved version of Algorithm 1, is proposed. Since the time for the precomputation table can be considered free, Algorithm 2 is about (3/2) log2 q - 1 times faster than binary method for an elliptic curve over 展开更多
关键词 Frobenius endomorphism Frobenius expansion Point scalar multiplication Binary method
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SPEED UP RATIONAL POINT SCALAR MULTIPLICATIONS ON ELLIPTIC CURVES BY FROBENIUS EQUATIONS
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作者 You Lin Zhao Junzhong Xu Maozhi 《Journal of Electronics(China)》 2006年第1期58-63,共6页
Let q be a power of a prime and φ be the Frobenius endomorphism on E(Fqk), then q = tφ - φ^2. Applying this equation, a new algorithm to compute rational point scalar multiplications on elliptic curves by finding... Let q be a power of a prime and φ be the Frobenius endomorphism on E(Fqk), then q = tφ - φ^2. Applying this equation, a new algorithm to compute rational point scalar multiplications on elliptic curves by finding a suitable small positive integer s such that q^s can be represented as some very sparse φ-polynomial is proposed. If a Normal Basis (NB) or Optimal Normal Basis (ONB) is applied and the precomputations are considered free, our algorithm will cost, on average, about 55% to 80% less than binary method, and about 42% to 74% less than φ-ary method. For some elliptic curves, our algorithm is also taster than Mǖller's algorithm. In addition, an effective algorithm is provided for finding such integer s. 展开更多
关键词 Elliptic curve Point scalar multiplication Frobenius equation q-ary method φ-polynomial
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Optimizing small matrix multiplications via batch grouping on multi-core DSPs
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作者 Xiaotian Chen Pengyu Wang +2 位作者 Jianbin Fang Peng Zhang Chun Huang 《CCF Transactions on High Performance Computing》 2026年第1期22-36,共15页
General matrix multiplication is a vital operation in high-performance computing and has wide applications in areas such as computational fluid dynamics and deep learning (DL). While there are many optimization techni... General matrix multiplication is a vital operation in high-performance computing and has wide applications in areas such as computational fluid dynamics and deep learning (DL). While there are many optimization techniques available for large matrix multiplications on CPUs and GPUs, handling batches of small matrix operations requires innovative solutions. Digital Signal Processors (DSPs) offer a promising alternative for processing DL workloads;however, the architectural differences between DSPs and conventional processors like CPUs and GPUs necessitate the development of specialized optimization strategies. This paper introduces mtSmm , an optimization approach tailored for small matrix multiplications on multi-core DSPs. Our approach focuses on the batch-as-vector paradigm, efficient on-chip memory management, and a well-designed micro-kernel. By maximizing computational resources, optimizing instruction-level and thread-level parallelism, and enhanc-ing memory access patterns, our approach significantly improves performance. Experimental results on the FT-M7032 DSP demonstrate that our method can achieve up to 83% of the theoretical peak performance of the hardware, significantly outperforming current state-of-the-art methods for batches of small matrices. 展开更多
关键词 Small matrix multiplications GPDSPs Performance model
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Low-intensity transcranial ultrasound neuromodulation promotes neuronal regeneration:A new hope for noninvasive treatment of neurodegenerative diseases 被引量:1
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作者 Shu Xia Chen He +4 位作者 Yunfei Li Hao Li Bo Wang Long Xu Xudong Zhao 《Neural Regeneration Research》 2026年第6期2300-2312,共13页
Neurodegenerative diseases,which are characterized by progressive neuronal loss and the lack of disease-modifying therapies,are becoming a major global health challenge.The existing neuromodulation techniques,such as ... Neurodegenerative diseases,which are characterized by progressive neuronal loss and the lack of disease-modifying therapies,are becoming a major global health challenge.The existing neuromodulation techniques,such as deep brain stimulation and transcranial magnetic stimulation,show limitations such as invasiveness,restricted cortical targeting,and irreversible tissue effects.In this context,low-intensity transcranial ultrasound has emerged as a promising noninvasive alternative that can penetrate deep into the brain and modulate neuroplasticity.This review comprehensively assesses the therapeutic mechanisms,efficacy,and translational potential of low-intensity transcranial ultrasound in treating neurodegenerative diseases,with emphasis on its role in promoting neuronal regeneration,modulating neuroinflammation,and enhancing functional recovery.We summarize the findings of previous studies and systematically illustrate the potential of low-intensity transcranial ultrasound in regulating cell death mechanisms,enhancing neural repair and regeneration,and alleviating symptoms associated with neurodegenerative diseases.Preclinical findings indicate that low-intensity transcranial ultrasound can enhance the release of neurotrophic factors(e.g.,brain-derived neurotrophic factor),promote autophagy to clear protein aggregates,modulate microglial activation,and temporarily open the blood-brain barrier to facilitate targeted drug delivery.Existing clinical trial data show that low-intensity transcranial ultrasound can reduce amyloid-βplaques,improve motor and cognitive deficits,and promote remyelination in various disease models.Early clinical trials suggest that low-intensity transcranial ultrasound may enhance cognitive scores in Alzheimer’s disease and alleviate motor symptoms in Parkinson’s disease,all while demonstrating a favorable safety profile.Past studies support the notion that by integrating safety,precision,and reversibility,low-intensity transcranial ultrasound can transform the treatment landscape for neurodegenerative disease.However,more advancements are necessary for future clinical application of low-intensity transcranial ultrasound,including optimizing parameters such as frequency,intensity,and duty cycle;considering individual anatomical differences;and confirming long-term efficacy.We believe establishing standardized protocols,conducting larger trials,and investigating the underlying mechanisms to clarify dose-response relationships and refine personalized application strategies are essential in this regard.Future research should focus on translating preclinical findings into clinical practice,addressing technical challenges,and exploring combination therapies with pharmacological or gene interventions. 展开更多
关键词 Alzheimer’s disease frontotemporal dementia low-intensity transcranial ultrasound multiple sclerosis multiple system atrophy neurodegenerative diseases NEUROMODULATION neuronal regeneration Parkinson’s disease transcranial ultrasound stimulation
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Cooperative robust parallel operation of multiple actuators
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作者 XU Liang XU Xiang LIU Tao 《控制理论与应用》 北大核心 2026年第1期3-11,共9页
This paper studies cooperative robust parallel operation of multiple actuators over an undirected communication graph.The plant is modeled as an uncertain linear system,and the actuators are linear and identical.Based... This paper studies cooperative robust parallel operation of multiple actuators over an undirected communication graph.The plant is modeled as an uncertain linear system,and the actuators are linear and identical.Based on the internal model principle,a distributed dynamic output feedback control law is proposed to achieve both robust output regulation of the closed-loop system and plant input sharing among the actuators.A practical example of five motors cooperatively driving an uncertain shaft under an external load torque is presented to show the effectiveness of the proposed control law. 展开更多
关键词 cooperative parallel operation multiple actuators robust output regulation CONSENSUS
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Infinitely Many Negative Energy Solutions for Sublinear Schr¨odinger-Poisson System
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作者 CHENG Rong WU Xiao 《应用数学》 北大核心 2026年第2期564-572,共9页
In this paper,we consider a Schr¨odinger-Poisson system with sublinear nonlinearity.The growth of nonlinearity depends on potential function and a bounded function.We first obtain the existence of nontrivial solu... In this paper,we consider a Schr¨odinger-Poisson system with sublinear nonlinearity.The growth of nonlinearity depends on potential function and a bounded function.We first obtain the existence of nontrivial solution sequence with negative energy for the system via a variant Clark’s theorem.Then we get the asymptotical property of the solution sequence by L∞norm. 展开更多
关键词 Variational method Schr¨odinger-Poisson system Multiple solutions Clark’s theorem ITERATION
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Illusion of inactivity:Revisiting progressive multiple sclerosis treatment paradigms
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作者 Tal Ganz Tamir Ben-Hur 《Neural Regeneration Research》 2026年第3期1134-1135,共2页
Active inflammation in“inactive”progressive multiple sclerosis:Traditionally,the distinction between relapsing-remitting multiple sclerosis and progressive multiple sclerosis(PMS)has been framed as an inflammatory v... Active inflammation in“inactive”progressive multiple sclerosis:Traditionally,the distinction between relapsing-remitting multiple sclerosis and progressive multiple sclerosis(PMS)has been framed as an inflammatory versus degenerative dichotomy.This was based on a broad misconception regarding essentially all neurodegenerative conditions,depicting the degenerative process as passive and immune-independent occurring as a late byproduct of active inflammation in the central nervous system(CNS),which is(solely)systemically driven. 展开更多
关键词 inflammatory versus degenerative dichotomythis treatment paradigms illusion inactivity multiple sclerosis traditionallythe central nervous system cns which progressive multiple sclerosis active inflammation progressive multiple sclerosis pms
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Impact of machine learning-driven analysis of blood transcriptomes in multiple sclerosis
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作者 Alessandro Digilio Cinthia Farina 《Neural Regeneration Research》 2026年第8期3557-3558,共2页
Multiple sclerosis(MS)is a chronic disorder of the central nervous system characterized by multifocal lesions where inflammation,demyelination,and neurodegeneration occur(Jakimovski et al.,2024).MS diagnosis primarily... Multiple sclerosis(MS)is a chronic disorder of the central nervous system characterized by multifocal lesions where inflammation,demyelination,and neurodegeneration occur(Jakimovski et al.,2024).MS diagnosis primarily relies on the demonstration of dissemination in time and space of the lesions based on clinical,magnetic resonance imaging(MRI),and cerebrospinal fluid assessments(Jakimovski et al.,2024). 展开更多
关键词 multifocal lesions INFLAMMATION cerebrospinal fluid assessments jakimovski blood transcriptomes DIAGNOSIS multiple sclerosis ms multiple sclerosis resonance imaging mri
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Changing Tracks--The new CR450 train, currently in the testing phase, reaches speeds of 450 km/h thanks to technological advances
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作者 GE LIJUN 《ChinAfrica》 2026年第1期51-51,共1页
Safer,smarter,faster...In China,people prefer high-speed trains to flights if the journey time is under five hours.High-speed train travel is set to become even more attractive with the addition of a new member to the... Safer,smarter,faster...In China,people prefer high-speed trains to flights if the journey time is under five hours.High-speed train travel is set to become even more attractive with the addition of a new member to the high-speed train family:the CR450,the world’s fastest electric multiple unit(EMU). 展开更多
关键词 journey time electric multiple unit CR high speed trains FLIGHTS electric multiple unit emu
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Antigen presentation at the brain barriers in multiple sclerosis
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作者 Joshua Brands Jeroen Bogie Bieke Broux 《Neural Regeneration Research》 2026年第7期2932-2933,共2页
Loss of immune tolerance to central nervous system(CNS)antigens lies at the heart of multiple sclerosis(MS),the most common chronic autoimmune disease of the CNS.MS affects nearly2 million people wo rldwide and is cha... Loss of immune tolerance to central nervous system(CNS)antigens lies at the heart of multiple sclerosis(MS),the most common chronic autoimmune disease of the CNS.MS affects nearly2 million people wo rldwide and is chara cterized by focal areas of demyelination,inflammation,axonal injury,and neurodegeneration(Bronge et al.,2022;Magliozzi et al.,2023). 展开更多
关键词 brain barriers central nervous system antigen presentation multiple sclerosis loss immune tolerance loss immune multiple sclerosis ms chronic autoimmune disease
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Multi-Area Path Planning for Multiple Unmanned Surface Vessels
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作者 Jianing Wu Yufeng Chen +2 位作者 Li Yin Huajun He Panshuan Jin 《Computers, Materials & Continua》 2026年第4期1093-1110,共18页
To conduct marine surveys,multiple unmanned surface vessels(Multi-USV)with different capabilities perform collaborative mapping in multiple designated areas.This paper proposes a task allocation algorithm based on int... To conduct marine surveys,multiple unmanned surface vessels(Multi-USV)with different capabilities perform collaborative mapping in multiple designated areas.This paper proposes a task allocation algorithm based on integer linear programming(ILP)with flow balance constraints,ensuring the fair and efficient distribution of sub-areas among USVs and maintaining strong connectivity of assigned regions.In the established gridmap,a search-based path planning algorithm is performed on the sub-areas according to the allocation scheme.It uses the greedy algorithm and the A*algorithm to achieve complete coverage of the barrier-free area and obtain an efficient trajectory of each USV.The greedy algorithm enables fast local traversal of unvisited grids,while the A*algorithm ensures navigation to escape from deadlock areas and maintains global path continuity.The comparison of task allocation results proves that the task allocation algorithm based on ILP improves the mapping efficiency and task distribution fairness.The proposed allocation method and result analysis provide a certain reference for the practical application ofMulti-USV to perform survey tasks collaboratively. 展开更多
关键词 Multiple unmanned surface vessels multiple areas integer linear programming
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Field Application of SeMNPV(Spodoptera exigua Multiple Nucleopolyhedrovirus)for Controlling Spodoptera exigua on Shallot and Scallion in the Mekong Delta,Vietnam
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作者 Xuan Trinh Thi Lien Truong Thanh Xuan Son Pham Kim 《Research in Ecology》 2026年第1期40-51,共12页
Shallot and scallion are among the essential horticultural crops in the Mekong Delta of Vietnam,and their yields and quality are affected by the beet armyworm,Spodoptera exigua.To control this pest,farmers have used a... Shallot and scallion are among the essential horticultural crops in the Mekong Delta of Vietnam,and their yields and quality are affected by the beet armyworm,Spodoptera exigua.To control this pest,farmers have used a large number of insecticides,which has led to resistance due to continuous use and environmental harm,thereby increasing interest in biological methods,including the Spodoptera exigua multiple nucleopolyhedrovirus(SeMNPV).The study aims to assess the efficacy of the liquid and powder formulation of SeMNPV against Spodoptera exigua under the actual agricultural conditions of Soc Trang(Shallot)and Vinh Long provinces(Scallion).The experimental arrangement used four treatments:SeMNPV liquid,SeMNPV powder,Radiant 60SC(a chemical insecticide),and the control.Some of the factors evaluated were larval density,level of leaf damage,yield,and natural enemies attack.The SeMNPV powder had the least damage,only 0.97 per cent(damage of plant),and a yield of 28.59 t/ha,and was almost equally good as the Radiant 60SC,which produced a damage of 2.53 per cent(damage of plant)and a yield of 29.41 t/ha.SeMNPV treatments significantly reduced larval numbers(down to fewer than 10 larvae/m2 by day 40)and enhanced natural enemies,parasitoids,and microsporidia.The untreated one had the highest damage(8.03%),while the yield was lowest at 19.61 t/ha.Therefore,SeMNPV in powder form has the potential to control S.exigua infestations and to encourage biological control,making it a favourable,environmentally friendly addition to synthetic insecticides in the cultivation of shallot and scallion. 展开更多
关键词 Beet Armyworm Spodoptera exigua Multiple Nucleopolyhedrovirus SHALLOT Scallion
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Analysis and Outlook of the World Economy(2025-2026)
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作者 Gao Lingyun Yang Zirong 《Contemporary World》 2026年第1期2-7,共6页
As profound changes unseen in a century unfold at a faster pace,the world economy enters into a new phase of turbulence and transformation.Under the continuous impact of multiple shocks,the world economy is recovering... As profound changes unseen in a century unfold at a faster pace,the world economy enters into a new phase of turbulence and transformation.Under the continuous impact of multiple shocks,the world economy is recovering amidst twists and turns,with insufficient growth momentum and diverging development trends.Meanwhile,profound structural changes are reshaping the global economic landscape.A new round of technological revolution and industrial transformation,most notably the explosive development of disruptive technologies such as Artificial Intelligence(AI),is generating new industries,business models,and drivers of growth,while exerting far-reaching influence on the global division of labor,employment structures,and even international norms. 展开更多
关键词 profound changes multiple shocks technological revolution industrial transformationmost turbulence world economy CENTURY transformation
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Formation control for multiple spacecraft with disturbances and sensor failures
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作者 LI Yufei LYU Yuezu PENG Wenliang 《Journal of Systems Engineering and Electronics》 2026年第1期18-25,共8页
Formation control of multiple spacecraft has attracted extensive research attention.However,achieving reliable performance under sensor failures remains a significant challenge.This paper develops an integrated framew... Formation control of multiple spacecraft has attracted extensive research attention.However,achieving reliable performance under sensor failures remains a significant challenge.This paper develops an integrated framework that jointly designs distributed observers and local controllers to ensure robust formation control in the presence of external disturbances and sensor malfunctions.Treating the spacecraft formation as a single interconnected system,each spacecraft constructs a distributed observer that estimates the overall system state by incorporating both its own measurements and the predicted control information shared among the spacecraft.Based on the observer estimates,a local control law is synthesized to maintain the desired formation.Rigorous theoretical analysis and numerical simulations demonstrate that the proposed integrated approach effectively guarantees formation stability and resilience against sensor failures and disturbances. 展开更多
关键词 formation control multiple spacecraft DISTURBANCE sensor failure
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Structural engineering of nickel-rich cathode material for improved cycling performance of lithium-ion batteries
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作者 Siyuan Zhang Pengxiang Ji +4 位作者 Sijie Guo Tingting Wu Muyao Qi Dong Su An-Min Cao 《Journal of Energy Chemistry》 2026年第3期52-59,共8页
Nickel-rich cathodes(NRCs)hold great promise for next-generation high-energy lithium-ion batteries(LIBs)due to high specific energy and low cost.However,the higher Ni content exacerbates the instability issues associa... Nickel-rich cathodes(NRCs)hold great promise for next-generation high-energy lithium-ion batteries(LIBs)due to high specific energy and low cost.However,the higher Ni content exacerbates the instability issues associated with structural degradation and side reactions during electrochemical cycling.Herein,we demonstrate the possibility of preparing NRCs,typically Li Ni_(0.9)Co_(0.05)Mn_(0.05)O_(2)(NCM9055),with much-improved mechanical and chemical stability based on the surface coating of the hydroxide precursors.Specifically,a conformal nanoshell containing both Al^(3+)and W^(6+)was first deposited around the precursor particles,and the following high-temperature lithiation produced the targeted NCM9055 with favorable structural features,where Al3+existed as a bulk dopant to enhance the structural stability while the high-valent W^(6+)promoted the microstructural evolution into radially-architectured elongated primary particles.Such a structural engineering benefiting from the Al^(3+)/W^(6+)co-modification endowed the prepared NCM9055 cathode(NCM9055-Al W)with much-improved cycling stability,as revealed by a high-capacity retention of 98.0%after 100 cycles(tested at 0.5 C,4.3 V)as compared to only 79.0%for the pristine cathode without Al^(3+)/W^(6+).The NCM9055-15Al W cathode also showed a high-rate capability with extraordinary structural stability against mechanical failure.Our study highlighted the enormous potential of precursor multi-element treatment as an effective tool in structural refinement of NRCs to circumvent their stability challenge for their applications in high-energy LIBs. 展开更多
关键词 Ni-rich cathode Precursor treatment Multiple modification Structural refinement Structural stability MICROCRACKS
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Cross-scale multiplane holograms with decoupled input-output sampling for vehicle display
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作者 Xiaohang Sheng Shaodong Zhou +5 位作者 Dong Zhao Li Ding Kun Huang Guanxue Wang Songlin Zhuang Qingqing Cheng 《Advanced Photonics Nexus》 2026年第1期101-110,共10页
Head-up displays(HUDs)are emerging as key components of intelligent vehicles,requiring wide-depth,large-area,and high-efficiency dynamic imaging,which remains difficult to realize with traditional refractive optics.Co... Head-up displays(HUDs)are emerging as key components of intelligent vehicles,requiring wide-depth,large-area,and high-efficiency dynamic imaging,which remains difficult to realize with traditional refractive optics.Computer-generated holography(CGH)with diffraction optics offers a promising solution to these technical demands.However,CGH optimization based on the fast Fourier transform(FFT)faces limitations such as zero-padding redundancy,coupled sampling intervals,and incompatible near-and farfield propagation models.Here,we report a holography-based multiplane HUD using a matrix multiplication(MM)-assisted diffraction algorithm that restructures the Fresnel integral into two sequential matrix operations,thus eliminating zero-padding and enabling fully decoupled sampling between object and image planes.Compared with FFT-based angular spectrum methods,the MM approach significantly improves computational speed and memory efficiency for hologram design,which is validated by demonstrating dual-plane holography with a size ratio exceeding 100:1 and unified reconstruction across Fresnel and Fraunhofer regimes within a single computation.A prototype HUD system is demonstrated successfully to exhibit multiple-plane holographic virtual images that can be mixed with real-world objects at three independent planes.The technique might be one of the potential candidates for next-generation intelligent vehicle displays. 展开更多
关键词 computer-generated holography diffraction theory matrix multiplication head-up display multi-plane imaging
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FIXED-TIME PASSIVITY AND SYNCHRONIZATION OF SPATIOTEMPORAL DIRECTED NETWORKS WITH MULTIPLE WEIGHTS
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作者 Yujie MA Cheng HU Leimin WANG 《Acta Mathematica Scientia》 2026年第1期361-382,共22页
This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks.First,to achieve fixed-time passivity,a type of decentralized power-law controller is developed,i... This paper is dedicated to fixed-time passivity and synchronization for multi-weighted spatiotemporal directed networks.First,to achieve fixed-time passivity,a type of decentralized power-law controller is developed,in which only one parameter needs to be adjusted in the power-law terms;this greatly decreases the inconvenience of parameter adjustment.Second,several fixed-time passivity criteria with LMI forms are derived by using a Gauss divergence theorem to deal with the spatial diffusion of nodes and by applying the Hölder’s inequality to dispose rigorously the power-law term greater than one in the designed control scheme;this improves the previous theoretical analysis.Additionally,the fixed-time synchronization of spatiotemporal directed networks with multi-weights is addressed as a direct result of fixed-time strict passivity.Finally,a numerical example is presented in order to show the validity of the theoretical analysis. 展开更多
关键词 fixed-time passivity fixed-time synchronization spatiotemporal networks multiple weights directed topology
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Oligodendrocyte ferroptosis:Novel mechanisms in multiple sclerosis
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作者 Valentina Saverio Dmitry Lim Marco Corazzari 《Neural Regeneration Research》 2026年第8期3561-3562,共2页
Myelination in the central nervous system(CNS)is a highly intricate process,exclusive to vertebrates,that relies on the coordinated interaction between oligodendrocytes(OLs)and neurons.In addition to their role in for... Myelination in the central nervous system(CNS)is a highly intricate process,exclusive to vertebrates,that relies on the coordinated interaction between oligodendrocytes(OLs)and neurons.In addition to their role in forming myelin,accumulating evidence indicates that OLs provide crucial trophic support to axons,contributing to normal CNS function.Notably,OL injury and loss are observed in a variety of human conditions,including stroke,traumatic injuries of the brain and spinal cord,as well as neurodegenerative disorders such as multiple sclerosis(MS). 展开更多
关键词 central nervous system central nervous system cns ferroptosis OLIGODENDROCYTE MYELINATION multiple sclerosis vertebrates trophic support
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Exploring growth models with multiplicative counting:Connections with the geometric and bigeometric calculi
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作者 Fernando Córdova-Lepe Nicole Martínez-Jeraldo Ledyz Cuesta-Herrera 《Applied Mathematics(A Journal of Chinese Universities)》 2026年第1期64-77,共14页
With a perspective of interest in the modeling of dynamic processes, here we investigate various types of basic growth equations, which in their formulation quantify the change of the variables, the state, or the inde... With a perspective of interest in the modeling of dynamic processes, here we investigate various types of basic growth equations, which in their formulation quantify the change of the variables, the state, or the independent one, using balance equations in which the counts(aggregation-reduction) are of the multiplicative type. We enter the context of the “differential” equations typical of non-Newtonian calculations, such as geometric calculus, bi-geometric calculus, or the lesser-known logarithmic calculus, when we take the step to the limit. In these new possibilities of dynamic laws, we highlight the interpretive aspects. A particular case is to review the equivalents of the logistic equation of the standard calculation in the new accounting calculations, where we make graphical and semantic comparisons. Finally, the construction of a geometric type equation is exemplified, with applications inherent to the financial mathematics. 展开更多
关键词 growth equations differential equations multiplicative calculus bigeometric calculus
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