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LPF-free Harmonic Current Control in Multi-synchronous Reference Frames for Dual Three-phase PMSMs 认领 引用
1
作者 Yulei Yang Qian Wang +1 位作者 Fangrui Wei Yichen Yu 《CES Transactions on Electrical Machines and Systems》 EI CSCD 2026年第2期216-227,共12页
Harmonic current regulation in multi-phase motor drives remains challenging under dynamic operating conditions due to non-sinusoidal back electromotive force(EMF)and inverter nonlinearities,which introduce dominant lo... Harmonic current regulation in multi-phase motor drives remains challenging under dynamic operating conditions due to non-sinusoidal back electromotive force(EMF)and inverter nonlinearities,which introduce dominant low-order harmonics.Multi-synchronous reference frame(MSRF)based methods are widely adopted for multi-frequency current regulation;however,conventional implementations typically rely on low-pass filters(LPFs)for harmonic decoupling,introducing detection delay and phase distortion that limit transient performance.This paper proposes an LPF-free MSRF-based harmonic current control method for dual three-phase permanent magnet synchronous motor(DTP-PMSM)drives.By introducing harmonic transformation matrix coefficients(HTMCs),the proposed method retains the independent regulation of multiple harmonic components within the MSRF framework,while eliminating the filtering step in the harmonic decoupling path,without the need for harmonic plane reconstruction or additional coordinate transformations.To support adaptive changes,a Goertzel-based harmonic amplitude extraction scheme is employed to periodically update the HTMC.Experimental results demonstrate that the proposed method significantly enhances dynamic performance,achieving a 19.3% reduction in speed transition stabilization time compared to other methods.The proposed LPF-free formulation provides a practical solution for MSRF-based harmonic current control in industrial motor drive applications where fast dynamic response is required. 展开更多
关键词 Low-pass filter(LPF)-free harmonic decoupling Multi-synchronous reference frame(MSRF) Multi-frequency current control Harmonic current suppression Industrial motor drives Dual three-phase permanent magnet synchronous motors(DTP-PMSMs)
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Generalized Dual s-Frames and Their Perturbations in S-Hilbert Spaces 认领 引用
2
作者 Fu Yanling Bai Xiaobei Tian Yu 《Journal of Mathematical Research with Applications》 CSCD 2026年第4期527-545,共19页
Soft Hilbert spaces(S-Hilbert spaces for short)play an important role in the field of mathematical modeling and decision-making,which has received widespread attention.This article addresses the dual soft frame(s-fram... Soft Hilbert spaces(S-Hilbert spaces for short)play an important role in the field of mathematical modeling and decision-making,which has received widespread attention.This article addresses the dual soft frame(s-frame for short)theory in S-Hilbert spaces.We introduce the notion of generalized dual s-frames(dual s-frames and approximately dual s-frames)in SHilbert spaces and our motivation is to seek their applications in decision-making.We prove that a pair of generalized dual s-frames may induce a pair of dual s-frames,and obtain that generalized dual s-frames have a preservation effect under the action of a pair of invertible operators.We propose a method for constructing more generalized dual s-frames from known ones,and find that the best generalized dual of an s-frame is the canonical dual.Finally,we investigate the perturbation-stability properties of generalized dual s-frames. 展开更多
关键词 soft Hilbert space dual soft frame generalized dual perturbation
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A numerical study on the effect of lintel beams on the behavior of masonry-infilled steel frames with window openings and the formation of compressive struts 认领 引用
3
作者 Reza Mazloum Ardakani Majid Mohammadi Mohammad Sadegh Birzhandi 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2026年第3期619-633,共15页
The present study aims to evaluate the effect of the lintel beam above the window opening in perforated infilled frames by the finite element modeling of a number of specimens with and without lintel beams,calibrated ... The present study aims to evaluate the effect of the lintel beam above the window opening in perforated infilled frames by the finite element modeling of a number of specimens with and without lintel beams,calibrated against four large-scale single-story single-bay steel moment-resisting frames that were constructed in Tasnimi and Mohebkhah(2011)’s study.Box sections were used as lintel beams,while roller supports were used in the specimens without a lintel beam.It was demonstrated that the absence of this component in the numerical modeling of infilled frames with window openings led to significant errors in estimating ultimate load and its corresponding displacement,which were higher in specimens with larger openings.It also resulted in considerable errors in predicting failure modes in the infills,which can cause changes in the principal stress field of the infills.Our results suggest that there is no need to have four compressive struts for the macromodeling of the infilled frames with central openings.The location of the lintel beam influenced the position of the struts,particularly in the samples with larger openings.The specifications of the compressive struts depend on the drift applied to the structure. 展开更多
关键词 perforated infilled frame nonlinear static analysis lintel beam openings failure modes
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Rapid Seismic Damage Quantification for Reinforced Concrete Frames using Minimal Strain Inputs and Neural Networks Trained via Pushover Analysis 认领 引用
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作者 Mohammadreza Vafaei Sophia C.Alih Abdirahman Abdulkadir 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第3期509-537,共29页
Rapid quantification of seismic-induced damage immediately following an earthquake is critical for determining whether a structure is safe for continued occupation or requires evacuation.This study proposes a novel da... Rapid quantification of seismic-induced damage immediately following an earthquake is critical for determining whether a structure is safe for continued occupation or requires evacuation.This study proposes a novel damage identification method that utilizes limited strain data points,significantly reducing installation,maintenance,and data analysis costs compared to traditional distributed sensor networks.The approach integrates finite element(FE)modeling to generate capacity curves through pushover analysis,incorporates noise-augmented datasets for Artificial Neural Network(ANN)training,and classifies structural conditions into four damage levels:Operational(OP),Immediate Occupancy(IO),Life Safety(LS),and Collapse Prevention(CP).To evaluate the method’s accuracy and efficiency,it was applied to two reinforced concrete(RC)frames;a single-story frame tested experimentally under cyclic loading and a three-story frame analyzed under various lateral load patterns.Strain data from selected beam and column ends were used as ANN inputs,while the corresponding damage classes served as outputs.Confusion matrix results demonstrated high true positive rates(>85%for the single-story and>90%for the three-story frame),even with a reduced number of sensors.The model also exhibited strong robustness to White Gaussian Noise(SNR=2.5-5 dB)and generalized effectively to nonlinear time-history analyses under scaled ground motions(PGA=0.1-1.0 g).Feature selection using the MRMR and ANOVA algorithms further enhanced computational efficiency.Overall,the proposed ANN-based framework has strong potential for real-time structural health monitoring applications. 展开更多
关键词 Damage detection seismic structural health monitoring reinforced concrete frame neural networks strain data
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Nonlinear Vibration and Resonance Behavior of Semi-Rigid Steel Frames with Second-Order Effects 认领 引用
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作者 Dung Bao Trung Le Quoc AnhVu Hai Quang Nguyen 《Structural Durability & Health Monitoring》 EI 2026年第4期135-152,共18页
The vibration and resonance behavior of steel frame structures are significantly affected by connection flexibility and geometric nonlinearity.Conventional vibration analyses often assume fully rigid beam-column conne... The vibration and resonance behavior of steel frame structures are significantly affected by connection flexibility and geometric nonlinearity.Conventional vibration analyses often assume fully rigid beam-column connections and neglect second-order effects,which can lead to inaccurate predictions of natural frequencies and resonance conditions.This study proposes a finite element-based approach for the vibration analysis of planar steel frames with linear and nonlinear semi-rigid connections,explicitly incorporating geometric nonlinearity.Beam-column connections aremodeled using nonlinearmoment-rotation relationships,while elastic and geometric stiffnessmatrices,together with a consistentmassmatrix,are integrated into the governing dynamic equations.Thetime-history response is computed using the Newmark integration scheme.The proposed formulation is validated through benchmark examples and comparisons with published results and commercial finite element software.Numerical results reveal that the combined effects of semi-rigid connections and geometric nonlinearity significantly alter the effective structural stiffness,leading to noticeable variations in natural vibration frequencies.In particular,the fundamental frequency evolves during dynamic response,resulting in resonance shifting and time-dependent resonance behavior.These findings suggest that resonance in steel frames with semi-rigid connections should be regarded as a state-dependent phenomenon rather than a fixed structural property,with important implications for vibration assessment and resonance control in structural design. 展开更多
关键词 Semi-rigid connections steel frames second-order vibration resonance behavior finite element analysis
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Separability criteria and entanglement witnesses from mutually unbiased equiangular tight frames 认领 引用
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作者 Alexey E Rastegin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2026年第2期35-43,共9页
Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frame... Methods of quantum information processing often appear in terms of specially selected states.For example,mutually unbiased bases(MUBs)and symmetric informationally complete measurements are widely applied.Finite frames have found use in many areas including quantum information.Due to its specific inner structure,a single equiangular tight frame(ETF)allows one to formulate criteria to detect non-classical correlations.This study aims to approach entanglement detection with the use of mutually unbiased ETFs.Such frames are an interesting generalization of widely recognized MUBs.It still uses rank-one operators,but the number of outcomes can exceed the dimensionality.Several approaches are considered including separability criteria and entanglement witnesses.Separability criteria for multipartite systems are finally obtained. 展开更多
关键词 equiangular tight frames mutual unbiasedness separable states entanglement witnesses
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Diagnosing Organizational Bottlenecks in Student Software Projects with Extended Problem Frames 认领 引用
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作者 Zicheng Huang Hongbin Xiao Zhi Li 《计算机教育》 2026年第3期210-219,共10页
In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can student... In educational settings,instructors often lead students through hands-on software projects,sometimes engaging two different schools or departments.How can such collaborations be made more efficient,and how can students truly experience the importance of teamwork and the impact of organizational structure on project complexity?To answer these questions,we introduce the requirement-driven organization structure(R-DOS)approach,which tightly couples software requirements with the actual development process.By extending problem-frames modeling and focusing on requirements,R-DOS allows educators and students to(1)diagnose structural flaws early,(2)prescribe role-level and communication fixes,and(3)observe-in real time-how poor structure can derail a project while good structure accelerates learning and delivery. 展开更多
关键词 Requirements engineering Organization structure Problem Frames
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Research on Load Transfer Law of Combined Reinforcement Using Anchor Cable Frames and Anti-slide Piles:Dynamic Analysis Based on Pile Soil Contact Stress 认领 引用
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作者 Jianghong Yu Zhongbo Wang Shangyi Zhao 《Journal of World Architecture》 2026年第3期1-8,共8页
From the perspective of dynamic analysis of pile-soil contact stress,this paper investigates the load transfer law of combined reinforcement using anchor cable frames and anti-slide piles.It encompasses the load trans... From the perspective of dynamic analysis of pile-soil contact stress,this paper investigates the load transfer law of combined reinforcement using anchor cable frames and anti-slide piles.It encompasses the load transfer mechanism of the combined reinforcement using anchor cables and anti-slide piles,collaborative design judgment.and long-term performance prediction.The aim is to provide a reference for subsequent collaborative design and its application,thereby ensuring the effectiveness of the combined reinforcement. 展开更多
关键词 Pile-soil contact stress Anchor cable frame Anti-slide pile Combined reinforcement Load transfer
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Buckling-Restrained Brace Arrangement in Regular RC Frames Based on Pushover Analysis 认领 引用
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作者 Feng Li 《Journal of World Architecture》 2026年第2期101-108,共8页
To improve the seismic performance of existing reinforced concrete(RC)frame structures with insufficient lateral resistance,this study investigates the influence of different buckling-restrained brace(BRB)arrangements... To improve the seismic performance of existing reinforced concrete(RC)frame structures with insufficient lateral resistance,this study investigates the influence of different buckling-restrained brace(BRB)arrangements on a typical five-story,4×4 bay regular RC frame.Based on the original benchmark model,four retrofit schemes were developed by considering two brace forms,namely single diagonal and chevron braces,and two planar locations,namely mid-bay and end-bay arrangements.Five numerical models,including one unstrengthened structure and four BRB-retrofitted structures,were established in SAP2000 V26 for nonlinear static pushover analysis.Geometric and material nonlinearities were incorporated to simulate the inelastic behavior of beams,columns,and BRBs.Pushover analyses were conducted under uniform and inverted triangular lateral load distributions to evaluate the global seismic performance of the structure.The results indicate that all retrofit schemes significantly enhanced the base shear capacity and deformation capacity of the original frame.Under the uniform load pattern,the maximum base shear capacities of the four strengthened models increased by 295%,148%,145%,and 148%,respectively,relative to the original structure.Under the inverted triangular load pattern,the corresponding increases were 232%,128%,124%,and 127%,respectively.Among the investigated configurations,the mid-bay single diagonal brace arrangement achieved the most effective improvement in lateral resistance and was identified as the optimal retrofit scheme.These findings demonstrate that mid-bay BRB placement is more effective than end-bay placement for enhancing the seismic performance of regular RC frame structures. 展开更多
关键词 Reinforced concrete frame Buckling-restrained brace Seismic retrofit Brace arrangement Pushover analysis Nonlinear static analysis
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Lightweight Multi-Layered Encryption and Steganography Model for Protecting Secret Messages in MPEG Video Frames 认领 引用
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作者 Sara H.Elsayed Rodaina Abdelsalam +2 位作者 Mahmoud A.Ismail Shoman Raed Alotaibi Omar Reyad 《Computers, Materials & Continua》 SCIE EI 2025年第12期4995-5013,共19页
Ensuring the secure transmission of secret messages,particularly through video—one of the most widely used media formats—is a critical challenge in the field of information security.Relying on a single-layered secur... Ensuring the secure transmission of secret messages,particularly through video—one of the most widely used media formats—is a critical challenge in the field of information security.Relying on a single-layered security approach is often insufficient for safeguarding sensitive data.This study proposes a triple-lightweight cryptographic and steganographic model that integrates the Hill Cipher Technique(HCT),Rotation Left Digits(RLD),and Discrete Wavelet Transform(DWT)to embed secret messages within video frames securely.The approach begins with encrypting the secret text using a private key matrix(PK1)of size 2×2 up to 6×6 via HCT.A second encryption layer is applied using a dynamic private key(PK2)derived from the RGB pixel values of the video frame,resulting in a rotated cipher.The doubly encrypted message is then embedded into the video frames using the DWT method.Upon transmission,the concealed message is extracted using inverse DWT and decrypted in two steps—first with PK2 and then with the inverse of PK1.Experiments conducted using MPEG video sequences and message lengths ranging from 10 to 300 bytes demonstrate strong performance in terms of Mean Square Error(MSE),Peak Signal-to-Noise Ratio(PSNR),and Correlation Coefficient(CC)between original and encrypted messages.The similarity between original and stego frames is further validated using Structural Similarity Index(SSIM),Mean Absolute Error(MAE),Number of Pixel Change Rate(NPCR),and Unified Average Changing Intensity(UACI).Results confirm that utilizing video frames to generate PK2 offers superior security compared to static key images.Moreover,the indistinguishability between original and stego frames highlights the method’s robustness against visual and statistical attacks. 展开更多
关键词 Lightweight encryption stego frame HCT RLD DWT SSIM MAE NPCR UACI
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Group frames via magic states with applications to SIC-POVMs and MUBs 认领 引用
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作者 Lingxuan Feng Shunlong Luo 《Communications in Theoretical Physics》 SCIE CAS CSCD 2025年第1期41-53,共13页
We connect magic(non-stabilizer)states,symmetric informationally complete positive operator valued measures(SIC-POVMs),and mutually unbiased bases(MUBs)in the context of group frames,and study their interplay.Magic st... We connect magic(non-stabilizer)states,symmetric informationally complete positive operator valued measures(SIC-POVMs),and mutually unbiased bases(MUBs)in the context of group frames,and study their interplay.Magic states are quantum resources in the stabilizer formalism of quantum computation.SIC-POVMs and MUBs are fundamental structures in quantum information theory with many applications in quantum foundations,quantum state tomography,and quantum cryptography,etc.In this work,we study group frames constructed from some prominent magic states,and further investigate their applications.Our method exploits the orbit of discrete Heisenberg-Weyl group acting on an initial fiducial state.We quantify the distance of the group frames from SIC-POVMs and MUBs,respectively.As a simple corollary,we reproduce a complete family of MUBs of any prime dimensional system by introducing the concept of MUB fiducial states,analogous to the well-known SIC-POVM fiducial states.We present an intuitive and direct construction of MUB fiducial states via quantum T-gates,and demonstrate that for the qubit system,there are twelve MUB fiducial states,which coincide with the H-type magic states.We compare MUB fiducial states and SIC-POVM fiducial states from the perspective of magic resource for stabilizer quantum computation.We further pose the challenging issue of identifying all MUB fiducial states in general dimensions. 展开更多
关键词 Group frames magic states MUBs SIC-POVMs quantum T-gates
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Enhancing some separability criteria via equiangular tight frames 认领 引用
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作者 Liang Tang Fan Wu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2025年第4期45-54,共10页
Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,genera... Improvement of the detection ability of quantum entanglement is one of the essential tasks in quantum computing and quantum information.Finite tight frames play a fundamental role in a wide variety of areas and,generally,each application requires a specific class of frames and is closely related to quantum measurement.It is worth noting that a maximal set of complex equiangular vectors is closely related to a symmetric informationally complete measurement.Hence,our goal in this work is to propose a series of separability criteria assigned to a finite tight frame and some well-known inequalities in different quantum systems,respectively.In addition,some tighter criteria to detect entanglement for many-body quantum states are presented in arbitrary dimensions.Finally,the effectiveness of the proposed entanglement detection criteria is illustrated through some detailed examples. 展开更多
关键词 entanglement detection separability criterion bipartite systems finite tight frames
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Minimum Number of Load Increments in Second-Order Elastic Analyses of Steel Frames 认领 引用
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作者 Nadine Faramawi Barry T.Rosson 《Journal of Civil Engineering and Architecture》 2025年第11期523-527,共5页
A relationship was discovered between the amplification factor and the number of load increments that are needed to limit the relative error to one percent in second-order elastic analyses with a predictor-corrector s... A relationship was discovered between the amplification factor and the number of load increments that are needed to limit the relative error to one percent in second-order elastic analyses with a predictor-corrector solution scheme.Previous research by the authors proposed a design equation to determine the required minimum number of load increments based on an evaluation of the elastic critical buckling load ratio.Further research has shown that an approximate amplification factor equation that is based on the B2 multiplier equation produces similar results when the amplification factor is less than approximately four.Eleven moment frames are used to verify the use of the new approximate amplification factor in the proposed design equation. 展开更多
关键词 Nonlinear geometric analysis amplification factor load increment structural frame
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Frames of Fortune 认领 引用
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作者 WANG RUYING 《ChinAfrica》 2025年第9期28-30,共3页
Stepping out of Danyang Railway Station,the large sign reading“China Danyang Optical City”immediately comes into view across the road.Inside the bustling marketplace,a dazzling array of eyeglass frames and lenses is... Stepping out of Danyang Railway Station,the large sign reading“China Danyang Optical City”immediately comes into view across the road.Inside the bustling marketplace,a dazzling array of eyeglass frames and lenses is neatly displayed in rows of shops,attracting consumers from across the country. 展开更多
关键词 fortune eyeglass frames eyeglass lenses consumers shops frames marketplace
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Genetic diversity and recombination analysis of NADC34-like porcine reproductive and respiratory syndrome viruses 认领 引用
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作者 Zhengqin Ye Wenqiang Wang +3 位作者 Zhenbang Zhu Wei Wen Hu Suk Lee Xiangdong Li 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2026年第8期3503-3507,共5页
Porcine reproductive and respiratory syndrome virus(PRRSV),a member of the family Arteriviridae within the order Nidovirales,causes porcine reproductive and respiratory syndrome(PRRS),resulting in substantial economic... Porcine reproductive and respiratory syndrome virus(PRRSV),a member of the family Arteriviridae within the order Nidovirales,causes porcine reproductive and respiratory syndrome(PRRS),resulting in substantial economic losses to the global swine industry(Cai et al.2023).The PRRSV genome is about 15 kb in length with a 5´cap and 3´poly(A)tail,containing at least 10 open reading frames(ORFs):ORF1a,ORF1b,ORF2–7(Ma et al.2021;Dey et al.2024). 展开更多
关键词 open reading frames orfs orf aorf borf ma genetic diversity nadc arteriviridae prrsv recombination analysis porcine reproductive respiratory syndrome viruses reproductive respiratory syndrome
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toGC:A pipeline to correct gene model for functional excavation of dark GPCRs in Phytophthora sojae 认领 引用
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作者 Min Qiu Chun Yan +6 位作者 Huaibo Li Haiyang Zhao Siqun Tu Yaru Sun Saijiang Yong Ming Wang Yuanchao Wang 《Journal of Integrative Agriculture》 SCIE CAS CSCD 2026年第1期150-156,共7页
The accuracy of genomic annotation is crucial for subsequent functional investigations;however,computational protocols used in high-throughput annotation of open reading frames(ORFs)can introduce inconsistencies.These... The accuracy of genomic annotation is crucial for subsequent functional investigations;however,computational protocols used in high-throughput annotation of open reading frames(ORFs)can introduce inconsistencies.These inconsistencies,which lead to non-uniform extension or truncation of sequence ends,pose challenges for downstream analyses.Existing strategies to rectify these inconsistencies are time-consuming and labor-intensive,lacking specific approaches.To address this gap,we developed to GC,a tool that integrates genomic annotation with RNA-seq datasets to rectify annotation inconsistencies.Using to GC,we achieved an accuracy of nearly 100%accuracy in correcting inconsistencies in published Phytophthora sojae ORFs.We applied this innovative pipeline to the GPCR-bigrams gene family,which was predicted to have 42 members in the P.sojae genome but lacked experimental validation.By employing to GC,we identified 32 GPCR-bigram ORFs with inconsistencies between previous annotations and to GC-corrected sequences.Notably,among these were 5 genes(GPCR-TKL9,GPCR-TKL15,GPCR-PDE3,GPCR-AC3,and GPCR-AC4)showed substantial inconsistencies.Experimental gene annotation confirmed the effectiveness of to GC,as sequences obtained through cloning matched those annotated by to GC.Importantly,we discovered two novel GPCRs(GPCR-AC3 and GPCR-AC4),which were previously mispredicted as a single gene.CRISPR/Cas9-mediated knockout experiments revealed the involvement of GPCR-AC4 but not GPCR-AC3 in oospore production,further confirming their status as two separate genes.In addition to P.sojae,the reliability of the to GC pipeline in Phytophthora capsici and Pythium ultimum further emphasizes the robustness of this pipeline.Our findings highlight the utility of to GC for reliable gene model correction,facilitating investigations into biological functions and offering potential applications in diverse species analyses. 展开更多
关键词 gene model correction transcriptome open reading frames G-protein coupled receptors
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Deep learning-based end-to-end depth estimation from a single-frame fringe pattern with the FDSUNet++ network 认领 引用
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作者 Xinjun ZHU Jialei ZHANG +2 位作者 Limei SONG Hongyi WANG Ruiqin TIAN 《Optoelectronics Letters》 EI 2026年第6期373-378,共6页
Recently the depth estimation methods based on deep learning(DL)retain challenging to estimate a high-precision depth map in fringe projection structured light three-dimensional(3D)measurement with limited information... Recently the depth estimation methods based on deep learning(DL)retain challenging to estimate a high-precision depth map in fringe projection structured light three-dimensional(3D)measurement with limited information from a single-frame fringe pattern.In this letter,we proposed a FDSUNet++convolutional neural network(CNN),which consists of a UNet++base model,an improved squeeze-andexcitation(ISE)block,a Fourier transform(FT)data preprocessing block,and a discrete wavelet transform(DWT)block.The proposed ISE block can improve the ability of feature extraction and the designed FT data preprocessing block preserves the key features of the fringe pattern by FT.The introduced DWT block reduces the complexity and training cost of the model.By integrating these three blocks into the UNet++,it can better achieve depth estimation.Experimental results from two structured light datasets demonstrate that the proposed FDSUNet++outperforms the state-of-the-art networks,achieving the best performance in both qualitative and quantitative evaluation. 展开更多
关键词 neural network cnn which single frame fringe pattern fdsunet unet depth estimation fringe projection discrete wavelet deep learning
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Octonions and 7-dimensional space vector transformation 认领 引用
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作者 Liang Lingfeng Zhang Hanwei +1 位作者 Li Kezhao Zhang Hua 《Applied Geophysics》 SCIE CSCD 2026年第1期380-390,434,共11页
An afne space is a set consisting of points and vectors.A vector space(or linear space)is an afne space with a specied origin.For a given afne coordinate system,there exists a one-to-one correspondence between vectors... An afne space is a set consisting of points and vectors.A vector space(or linear space)is an afne space with a specied origin.For a given afne coordinate system,there exists a one-to-one correspondence between vectors and coordinates.In order to provide a theoretical basis for coordinate and frame transformations,and to simplify the transformation process in specic problem studies,the geometric product of vectors is redened(the geometric product of vectors is the sum of the negative inner product and the outer product of the vectors),thus the one-to-one correspondence relationship between unit vectors and imaginary units is established.According to Hurwitz's theorem,the vector space of the outer product is gotten and dened,and its dimension cannot be chosen arbitrarily.Based on Arthur Cayley's(1845)multiplication rules of octonions,transformation formulas for a seven-dimensional vector space and rotation matrices for coordinate frame transformations are derived.It is pointed out that the three-dimensional rotation matrices commonly used in astrometry and geodesy are special cases thereof.According to the redefinition of the geometric product of vectors,the multiplication rules of quaternions can be directly obtained,as well as the multiplication table of imaginary units of octonions.It is further indicated that the multiplication tables of imaginary units for octonions and hypercomplex numbers of higher dimensions are not unique. 展开更多
关键词 Octonions 7-dimensional vector spaces Coordinate or frame transformations Rotation matrices
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理想MTL代数 认领 引用
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作者 罗清君 《浙江大学学报（理学版）》 CAS CSCD 北大核心 2026年第1期39-46,共8页
MTL(Monoidal T-norm based logic)代数是基于左连续三角模的模糊逻辑系统的语义代数,而理想理论是研究MTL代数性质的重要工具。利用加法运算给出了MTL代数理想的等价刻画和生成理想的具体结构。通过定义交、并、蕴涵与补运算,证明了全... MTL(Monoidal T-norm based logic)代数是基于左连续三角模的模糊逻辑系统的语义代数,而理想理论是研究MTL代数性质的重要工具。利用加法运算给出了MTL代数理想的等价刻画和生成理想的具体结构。通过定义交、并、蕴涵与补运算,证明了全体理想之集在集合的包含序下是一个代数格。同时,给出了由全体理想之集构成MTL代数和对合MTL代数的充分且必要条件。 展开更多
关键词 MTL代数 理想 生成理想 Frame
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Video frame interpolation based on invertible neural network for Internet of things 认领 引用
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作者 Lingfan Wu Keyuan Ye +2 位作者 Huan Gao Huchen Jiang Hong Zhang 《Digital Communications and Networks》 SCIE EI CSCD 2026年第3期540-549,共10页
Video frame interpolation focuses on directly synthesizing intermediate frames by utilizing inter-frame changes,relying heavily on large,high-frame-rate video datasets for supervised training,which imposes significant... Video frame interpolation focuses on directly synthesizing intermediate frames by utilizing inter-frame changes,relying heavily on large,high-frame-rate video datasets for supervised training,which imposes significant demands on bandwidth and computational resources in the Internet of Everything(IoE)environments.Since video frame rate down and up conversion are inverse processes,an Invertible Neural Network(INN)provides an efficient solution by ensuring lossless and symmetrical information transfer in forward and backward processes.This paper introduces a self-supervised video frame rate conversion method based on an INN to reconstruct missing intermediate frames.By leveraging an invertible coupling structure,the model encodes the spatiotemporal features of sparse input frames into a Gaussian distribution,which effectively simulates the frame rate downsampling process.Through the network’s invertibility and lossless processing capabilities,the intermediate frames are then reconstructed through reverse inference.This approach captures missing information from a Gaussian prior,ensuring stability and realism in the generated frames.Extensive experiments on public video datasets show that the proposed method surpasses existing state-of-the-art algorithms in accuracy and efficiency,offering superior visual quality,faster processing speeds,and reduced model parameters,especially for highframe-rate recovery. 展开更多
关键词 Video frame interpolation Deep learning Invertible neural network
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