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Context Patch Fusion with Class Token Enhancement for Weakly Supervised Semantic Segmentation
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作者 Yiyang Fu Hui Li Wangyu Wu 《Computer Modeling in Engineering & Sciences》 2026年第1期1130-1150,共21页
Weakly Supervised Semantic Segmentation(WSSS),which relies only on image-level labels,has attracted significant attention for its cost-effectiveness and scalability.Existing methods mainly enhance inter-class distinct... Weakly Supervised Semantic Segmentation(WSSS),which relies only on image-level labels,has attracted significant attention for its cost-effectiveness and scalability.Existing methods mainly enhance inter-class distinctions and employ data augmentation to mitigate semantic ambiguity and reduce spurious activations.However,they often neglect the complex contextual dependencies among image patches,resulting in incomplete local representations and limited segmentation accuracy.To address these issues,we propose the Context Patch Fusion with Class Token Enhancement(CPF-CTE)framework,which exploits contextual relations among patches to enrich feature repre-sentations and improve segmentation.At its core,the Contextual-Fusion Bidirectional Long Short-Term Memory(CF-BiLSTM)module captures spatial dependencies between patches and enables bidirectional information flow,yield-ing a more comprehensive understanding of spatial correlations.This strengthens feature learning and segmentation robustness.Moreover,we introduce learnable class tokens that dynamically encode and refine class-specific semantics,enhancing discriminative capability.By effectively integrating spatial and semantic cues,CPF-CTE produces richer and more accurate representations of image content.Extensive experiments on PASCAL VOC 2012 and MS COCO 2014 validate that CPF-CTE consistently surpasses prior WSSS methods. 展开更多
关键词 weakly supervised semantic segmentation context-fusion class enhancement
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Enhancing convolution for Transformer-based weakly supervised semantic segmentation
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作者 LIU Yu TAN Diaoyin +1 位作者 ZHOU Wen XIAO Huaxin 《Journal of Systems Engineering and Electronics》 2026年第1期84-93,共10页
Weakly supervised semantic segmentation(WSSS)is a tricky task,which only provides category information for segmentation prediction.Thus,the key stage of WSSS is to generate the pseudo labels.For convolutional neural n... Weakly supervised semantic segmentation(WSSS)is a tricky task,which only provides category information for segmentation prediction.Thus,the key stage of WSSS is to generate the pseudo labels.For convolutional neural network(CNN)based methods,in which class activation mapping(CAM)is proposed to obtain the pseudo labels,and only concentrates on the most discriminative parts.Recently,transformer-based methods utilize attention map from the multi-headed self-attention(MHSA)module to predict pseudo labels,which usually contain obvious background noise and incoherent object area.To solve the above problems,we use the Conformer as our backbone,which is a parallel network based on convolutional neural network(CNN)and Transformer.The two branches generate pseudo labels and refine them independently,and can effectively combine the advantages of CNN and Transformer.However,the parallel structure is not close enough in the information communication.Thus,parallel structure can result in poor details about pseudo labels,and the background noise still exists.To alleviate this problem,we propose enhancing convolution CAM(ECCAM)model,which have three improved modules based on enhancing convolution,including deeper stem(DStem),convolutional feed-forward network(CFFN)and feature coupling unit with convolution(FCUConv).The ECCAM could make Conformer have tighter interaction between CNN and Transformer branches.After experimental verification,the improved modules we propose can help the network perceive more local information from images,making the final segmentation results more refined.Compared with similar architecture,our modules greatly improve the semantic segmentation performance and achieve70.2%mean intersection over union(mIoU)on the PASCAL VOC 2012 dataset. 展开更多
关键词 weakly supervised semantic segmentation TRANSFORMER convolutional neural network
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Selective flotation of ilmenite from titanaugite under weakly acidic pH conditions using 2-amino-1-propanol as novel depressant 被引量:1
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作者 Chuan DAI Pan CHEN +2 位作者 Yao-hui YANG Wei SUN Hong-bin WANG 《Transactions of Nonferrous Metals Society of China》 2025年第4期1325-1337,共13页
The potential of 2-amino-1-propanol(AP)as a novel depressant in selectively floating ilmenite from titanaugite under weakly acidic conditions was investigated.Micro-flotation results show that AP significantly reduces... The potential of 2-amino-1-propanol(AP)as a novel depressant in selectively floating ilmenite from titanaugite under weakly acidic conditions was investigated.Micro-flotation results show that AP significantly reduces the recovery of titanaugite while having no evident impact on ilmenite flotation.Subsequent bench-scale flotation tests further confirm a remarkable improvement in separation efficiency upon the introduction of AP.Contact angle and adsorption tests reveal a stronger affinity of AP towards the titanaugite surface in comparison to ilmenite.Zeta potential measurements and X-ray photoelectron spectroscopy(XPS)analyses exhibit favorable adsorption characteristics of AP on titanaugite,resulting from a synergy of electrostatic attraction and chemical interaction.In contrast,electrostatic repulsion hinders any significant interaction between AP and the ilmenite surface.These findings highlight the potential of AP as a highly efficient depressant for ilmenite flotation,paving the way for reduced reliance on sulfuric acid in the industry. 展开更多
关键词 ILMENITE titanaugite selective flotation weakly acidic condition depressant
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Regulation mechanism of broadband weakly epsilon-negative response interpreted via Cu/CaCu_(3)Ti_(4)O_(12) metacomposites
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作者 Jing Mao Yun-Peng Qu +1 位作者 Yun-Lei Zhou Xiao-Si Qi 《Rare Metals》 2025年第10期7956-7963,共8页
Finely tuning spectral characteristics of the epsilon-negative(ε'<0,EN) response is full of challenges when its regulatory mechanism in metacomposites is not yet clear.Herein,we have meticulously designed Cu/C... Finely tuning spectral characteristics of the epsilon-negative(ε'<0,EN) response is full of challenges when its regulatory mechanism in metacomposites is not yet clear.Herein,we have meticulously designed Cu/CaCu_(3)Ti_(4)O_(12)(Cu/CCTO) percolative metacomposites,successfully achieved both epsilon-negative and ε'-near-zero(ENZ)responses in the radio-frequency band.Before percolation,a large number of electric dipoles in the metacomposites achieved resonance characteristics near the ENZ point under the excitation of radio frequency electromagnetic fields,and as the Cu content increased,the ENZ frequency varied from 942,858,862 to 632 MHz. 展开更多
关键词 metacomposites percolative metacompositessuccessfully percolative electric dipoles BROADBAND tuning spectral characteristics resonance characteristics weakly epsilon negative
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Diluent modified weakly solvating electrolyte for fast-charging high-voltage lithium metal batteries
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作者 Haining Peng Huijun Liu +3 位作者 Chengzong Li Yingfu Li Qizhi Chen Tao Li 《Chinese Chemical Letters》 2025年第1期556-560,共5页
Weakly solvating electrolyte(WSE)demonstrates superior compatibility with lithium(Li)metal batteries(LMBs).However,its application in fast-charging high-voltage LMBs is challenging.Here,we propose a diluent modified W... Weakly solvating electrolyte(WSE)demonstrates superior compatibility with lithium(Li)metal batteries(LMBs).However,its application in fast-charging high-voltage LMBs is challenging.Here,we propose a diluent modified WSE for fast-charging high-voltage LMBs,which is formed by adding diluent of 1,1,2,2-tetrafluoroethyl-2,2,3,3-tetrafluoropropyl ether(TTE)into the tetrahydropyran(THP)based WSE.A relatively loose solvation structure is formed due to the formation of weak hydrogen bond between TTE and THP,which accelerates the de-solvation kinetics of Li~+.Besides,more anions are involved in solvation structure in the presence of TTE,yielding inorganic-rich interphases with improved stability.Li(30μm)||Li Ni_(0.5)Co_(0.2)Mn_(0.3)O_(2)(4.1 mAh/cm^(2))batteries with the TTE modified WSE retain over 64%capacity retention after 175 cycles under high rate of 3 C and high-voltage of 4.5 V,much better than that with pure THP based WSE.This work points out that the combination of diluent with weakly solvating solvent is a promising approach to develop high performance electrolytes for fast-charging high-voltage LMBs. 展开更多
关键词 Lithium metal batteries weakly solvating electrolyte Fast-charging HIGH-VOLTAGE DILUENT
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ICA-Net:improving class activation for weakly supervised semantic segmentation via joint contrastive and simulation learning
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作者 YE Zhuang LIU Ruyu SUN Bo 《Optoelectronics Letters》 2025年第3期188-192,共5页
In the field of optoelectronics,certain types of data may be difficult to accurately annotate,such as high-resolution optoelectronic imaging or imaging in certain special spectral ranges.Weakly supervised learning can... In the field of optoelectronics,certain types of data may be difficult to accurately annotate,such as high-resolution optoelectronic imaging or imaging in certain special spectral ranges.Weakly supervised learning can provide a more reliable approach in these situations.Current popular approaches mainly adopt the classification-based class activation maps(CAM)as initial pseudo labels to solve the task. 展开更多
关键词 high resolution imaging supervised learning class activation maps joint contrastive simulation learning special spectral ranges weakly supervised learning OPTOELECTRONICS
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STARE:a new detector array for exploring the breakup reaction mechanisms induced by weakly bound nuclei
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作者 Yan-Song Wu Gao-Long Zhang +12 位作者 Cheng-Jian Lin Nan-Ru Ma Lei Yang Guang-Xin Zhang Shi-Peng Hu Huan-Qiao Zhang Marco Mazzocco Yong-Jin Yao Zhen-Wei Jiao Ming-Li Wang Xue-Dou Su Hao-Bo Lv Kun Dong 《Nuclear Science and Techniques》 2025年第11期167-176,共10页
A new detector array with a large solid angle coverage for the coincidence measurement of charged fragments was developed to study the breakup reaction mechanisms of weakly bound nuclear systems at energies around the... A new detector array with a large solid angle coverage for the coincidence measurement of charged fragments was developed to study the breakup reaction mechanisms of weakly bound nuclear systems at energies around the Coulomb barrier.The array has been used to explore the breakup reaction mechanisms of^(6,7)Li+^(209)Bi systems at E_(beam)=30,40,47 MeV,showing good performance in particle identification and complete kinematic measurements.Based on this,different breakup modes and breakup components were clearly distinguished,and some new breakup modes were discovered,such as^(7)Li→α+t breakup mode in6Li+209Bi system and^(7)Li→^(6)He+p breakup mode in^(7)Li+^(209)Bi system.This array can also be used to explore other breakup reaction mechanisms induced by weakly bound nuclei. 展开更多
关键词 Detector array Coincidence measurement Breakup reaction weakly bound nuclei
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CPEWS:Contextual Prototype-Based End-to-End Weakly Supervised Semantic Segmentation
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作者 Xiaoyan Shao Jiaqi Han +2 位作者 Lingling Li Xuezhuan Zhao Jingjing Yan 《Computers, Materials & Continua》 2025年第4期595-617,共23页
The primary challenge in weakly supervised semantic segmentation is effectively leveraging weak annotations while minimizing the performance gap compared to fully supervised methods.End-to-end model designs have gaine... The primary challenge in weakly supervised semantic segmentation is effectively leveraging weak annotations while minimizing the performance gap compared to fully supervised methods.End-to-end model designs have gained significant attention for improving training efficiency.Most current algorithms rely on Convolutional Neural Networks(CNNs)for feature extraction.Although CNNs are proficient at capturing local features,they often struggle with global context,leading to incomplete and false Class Activation Mapping(CAM).To address these limitations,this work proposes a Contextual Prototype-Based End-to-End Weakly Supervised Semantic Segmentation(CPEWS)model,which improves feature extraction by utilizing the Vision Transformer(ViT).By incorporating its intermediate feature layers to preserve semantic information,this work introduces the Intermediate Supervised Module(ISM)to supervise the final layer’s output,reducing boundary ambiguity and mitigating issues related to incomplete activation.Additionally,the Contextual Prototype Module(CPM)generates class-specific prototypes,while the proposed Prototype Discrimination Loss and Superclass Suppression Loss guide the network’s training,(LPDL)(LSSL)effectively addressing false activation without the need for extra supervision.The CPEWS model proposed in this paper achieves state-of-the-art performance in end-to-end weakly supervised semantic segmentation without additional supervision.The validation set and test set Mean Intersection over Union(MIoU)of PASCAL VOC 2012 dataset achieved 69.8%and 72.6%,respectively.Compared with ToCo(pre trained weight ImageNet-1k),MIoU on the test set is 2.1%higher.In addition,MIoU reached 41.4%on the validation set of the MS COCO 2014 dataset. 展开更多
关键词 End-to-end weakly supervised semantic segmentation vision transformer contextual prototype class activation map
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Optical Solitons with Parabolic and Weakly Nonlocal Law of Self-Phase Modulation by Laplace-Adomian Decomposition Method
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作者 Oswaldo González-Gaxiola Anjan Biswas +1 位作者 Ahmed H.Arnous Yakup Yildirim 《Computer Modeling in Engineering & Sciences》 2025年第3期2513-2525,共13页
Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton... Computational modeling plays a vital role in advancing our understanding and application of soliton theory.It allows researchers to both simulate and analyze complex soliton phenomena and discover new types of soliton solutions.In the present study,we computationally derive the bright and dark optical solitons for a Schrödinger equation that contains a specific type of nonlinearity.This nonlinearity in the model is the result of the combination of the parabolic law and the non-local law of self-phase modulation structures.The numerical simulation is accomplished through the application of an algorithm that integrates the classical Adomian method with the Laplace transform.The results obtained have not been previously reported for this type of nonlinearity.Additionally,for the purpose of comparison,the numerical examination has taken into account some scenarios with fixed parameter values.Notably,the numerical derivation of solitons without the assistance of an exact solution is an exceptional take-home lesson fromthis study.Furthermore,the proposed approach is demonstrated to possess optimal computational accuracy in the results presentation,which includes error tables and graphs.It is important tomention that themethodology employed in this study does not involve any form of linearization,discretization,or perturbation.Consequently,the physical nature of the problem to be solved remains unaltered,which is one of the main advantages. 展开更多
关键词 Soliton solutions parabolic law nonlinearity weakly nonlocal Schrödinger equation laplace-adomian decomposition method
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Selective Multiple Classifiers for Weakly Supervised Semantic Segmentation
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作者 Zilin Guo Dongyue Wu +1 位作者 Changxin Gao Nong Sang 《CAAI Transactions on Intelligence Technology》 2025年第6期1688-1702,共15页
Existing weakly supervised semantic segmentation(WSSS)methods based on image-level labels always rely on class activation maps(CAMs),which measure the relationships between features and classifiers.However,CAMs only f... Existing weakly supervised semantic segmentation(WSSS)methods based on image-level labels always rely on class activation maps(CAMs),which measure the relationships between features and classifiers.However,CAMs only focus on the most discriminative regions of images,resulting in their poor coverage performance.We attribute this to the deficiency in the recognition ability of a single classifier and the negative impacts caused by magnitudes during the CAMs normalisation process.To address the aforementioned issues,we propose to construct selective multiple classifiers(SMC).During the training process,we extract multiple prototypes for each class and store them in the corresponding memory bank.These prototypes are divided into foreground and background prototypes,with the former used to identify foreground objects and the latter aimed at preventing the false activation of background pixels.As for the inference stage,multiple prototypes are adaptively selected from the memory bank for each image as SMC.Subsequently,CAMs are generated by measuring the angle between SMC and features.We enhance the recognition ability of classifiers by adaptively constructing multiple classifiers for each image,while only relying on angle measurement to generate CAMs can alleviate the suppression phenomenon caused by magnitudes.Furthermore,SMC can be integrated into other WSSS approaches to help generate better CAMs.Extensive experiments conducted on standard WSSS benchmarks such as PASCAL VOC 2012 and MS COCO 2014 demonstrate the superiority of our proposed method. 展开更多
关键词 image segmentation multiple classifiers weakly supervised learning
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MEASURES OF WEAK NONCOMPACTNESS AND FIXED POINT THEORY FOR 1-SET WEAKLY CONTRACTIVE OPERATORS ON UNBOUNDED DOMAINS
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作者 ShaoyuanXu Afif Ben Amar 《Analysis in Theory and Applications》 2011年第3期224-238,共15页
The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F(x) = αx (α≥〉 1) for so-called 1-set weakly contractive operators... The main purpose of this paper is to prove a collection of new fixed point theorems and existence theorems for the nonlinear operator equation F(x) = αx (α≥〉 1) for so-called 1-set weakly contractive operators on unbounded domains in Banach spaces. We also introduce the concept of weakly semi-closed operator at the origin and obtain a series of new fixed point theorems and the existence theorems for the nonlinear operator equation F(x) = αx (α≥1) for such class of operators. As consequences, the main results general- ize and improve the relevant results, which are obtained by O'Regan and A. Ben Amar and M. Mnif in 1998 and 2009 respectively. In addition, we get the famous fixed point theorems of Leray-Schauder, Altman, Petryshyn and Rothe type in the case of weakly sequentially continuous, 1-set weakly contractive (μ-nonexpansive) and weakly semi-closed operators at the origin and their generalizations. The main condition in our results is formulated in terms of axiomatic measures of weak compactness. 展开更多
关键词 measure of weak noncompactness weakly condensing and weakly nonexpansive weakly sequentially continuous weakly semi-closed at the origin fixedpoint theorem
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关于Weakly J-Clean环(英文) 被引量:2
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作者 沈洪地 陈焕艮 《杭州师范大学学报(自然科学版)》 CAS 2015年第6期616-624,共9页
一个环R叫做weakly J-clean环,如果R中的每一个元素都可以写成a=e+j或a=-e+j的形式,其中e是幂等元,j属于Jacobson根.文章探究了weakly J-clean环的各种性质,证明了R是weakly J-clean环当且仅当R是clean环并且R/J(R)是弱布尔环,当且仅当R... 一个环R叫做weakly J-clean环,如果R中的每一个元素都可以写成a=e+j或a=-e+j的形式,其中e是幂等元,j属于Jacobson根.文章探究了weakly J-clean环的各种性质,证明了R是weakly J-clean环当且仅当R是clean环并且R/J(R)是弱布尔环,当且仅当R/6R是weakly J-clean环且幂等元关于J(R)可以提升.一个环R是唯一weakly nil clean环当且仅当R是阿贝尔环;J(R)是幂零的并且R是weakly J-clean环.每个weakly J-clean环R是右(左)quasi-duo环.并进一步证明以下几点是等价的:R是J-clean环;存在一个大于等于1的整数n,使得Tn(R)是J-clean环;存在一个大于等于2的整数n,使得Tn(R)是weakly J-clean环;存在一个大于等于2的整数n,使得×nR是weakly J-clean环. 展开更多
关键词 weakly J-clean环 CLEAN环 唯一weakly NIL CLEAN环 幂等元 JACOBSON根
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Weakly coordinating cationic polymer electrolytes for fast-charging solid-state lithium-metal batteries
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作者 Soohyoung Lee Kyeong-Seok Oh +4 位作者 Ji Eun Lee Sun-Phil Han Hong-I Kim Sang Kyu Kwak Sang-Young Lee 《Journal of Energy Chemistry》 2025年第6期243-251,I0006,共10页
Despite the growing interest in fast-cha rging solid-state lithium(Li)-metal batteries(SSLMBs),their practical implementation has yet to be achieved,primarily due to an incomplete understanding of the disparate and of... Despite the growing interest in fast-cha rging solid-state lithium(Li)-metal batteries(SSLMBs),their practical implementation has yet to be achieved,primarily due to an incomplete understanding of the disparate and often conflicting requirements of the bulk electrolyte and the electrode-electrolyte interphase.Here,we present a weakly coordinating cationic polymer electrolyte(WCPE)specifically designed to regulate the Li^(+)coordination structure,thereby enabling fast-charging SSLMBs.The WCPE comprises an imidazolium-based polycationic matrix combined with a succinonitrile(SN)-based highconcentration electrolyte.Unlike conventional neutral polymer matrices,the polycationic matrix in the WCPE competes with Li^(+)for interactions with SN,weakening the original coordination between SN and Li^(+).This modulation of SN-Li^(+)interaction improves both Li^(+)conductivity of the WCPE(σ_(Li^(+))=1.29mS cm^(-1))and redox kinetics at the electrode-electrolyte interphase.Consequently,SSLMB cells(comprising LiFePO_(4)cathodes and Li-metal anodes)with the WCPE achieve fast-charging capability(reaching over 80%state of charge within 10 min),outperforming those of previously reported polymer electrolytebased SSLMBs. 展开更多
关键词 Cationic polymer electrolytes Weak coordination Electrode-electrolyte interphase Fast-charging Solid-state lithium-metal batteries
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On Weakly Semicommutative Rings 被引量:8
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作者 CHEN WEI-XING CUI SHU-YING 《Communications in Mathematical Research》 CSCD 2011年第2期179-192,共14页
A ring R is said to be weakly semicommutative if for any a,b∈R, ab=0 implies aRb(?)Nil(R),where Nil(R) is the set of all nilpotent elements in R. In this note,we clarify the relationship between weakly semicom... A ring R is said to be weakly semicommutative if for any a,b∈R, ab=0 implies aRb(?)Nil(R),where Nil(R) is the set of all nilpotent elements in R. In this note,we clarify the relationship between weakly semicommutative rings and NI-rings by proving that the notion of a weakly semicommutative ring is a proper generalization of NI-rings.We say that a ring R is weakly 2-primal if the set of nilpotent elements in R coincides with its Levitzki radical,and prove that if R is a weakly 2-primal ring which satisfiesα-condition for an endomorphismαof R(that is,ab=0(?)aα(b)=0 where a,b∈R) then the skew polynomial ring R[x;α] is a weakly 2-primal ring,and that if R is a ring and I is an ideal of R such that I and R/I are both weakly semicommutative then R is weakly semicommutative. Those extend the main results of Liang et al.2007(Taiwan Residents J.Math.,11(5)(2007), 1359-1368) considerably.Moreover,several new results about weakly semicommutative rings and NI-rings are included. 展开更多
关键词 weakly semicommutative ring weakly 2-primal ring NLring Armen- dariz ring
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Ore Extensions over Weakly 2-primal Rings 被引量:2
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作者 WANG YAO JIANG MEI-MEI REN YAN-LI 《Communications in Mathematical Research》 CSCD 2016年第1期70-82,共13页
A weakly 2-primal ring is a common generalization of a semicommutative ring, a 2-primal ring and a locally 2-primal ring. In this paper, we investigate Ore extensions over weakly 2-primal rings. Let α be an endomorph... A weakly 2-primal ring is a common generalization of a semicommutative ring, a 2-primal ring and a locally 2-primal ring. In this paper, we investigate Ore extensions over weakly 2-primal rings. Let α be an endomorphism and δ an α- derivation of a ring R. We prove that (1) If R is an (α, δ)-compatible and weakly 2-primal ring, then R[x; α, δ] is weakly semicommutative; (2) If R is (α, δ)-compatible, then R is weakly 2-primal if and only if R[x; α, δ] is weakly 2-primal. 展开更多
关键词 (α δ)-compatible ring weakly 2-primal ring weakly semicommutativering nil-semicommutative ring Ore extension
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Viscosity approximation methods with weakly contractive mappings for nonexpansive mappings 被引量:1
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作者 WANG Ya-qin 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第10期1691-1694,共4页
Let K be a closed convex subset of a real reflexive Banach space E, T:K→K be a nonexpansive mapping, and f:K→K be a fixed weakly contractive (may not be contractive) mapping. Then for any t∈(0, 1), let x1∈K ... Let K be a closed convex subset of a real reflexive Banach space E, T:K→K be a nonexpansive mapping, and f:K→K be a fixed weakly contractive (may not be contractive) mapping. Then for any t∈(0, 1), let x1∈K be the unique fixed point of the weak contraction x1→tf(x)+(1-t)Tx. If T has a fixed point and E admits a weakly sequentially continuous duality mapping from E to E^*, then it is shown that {xt} converges to a fixed point of T as t→0. The results presented here improve and generalize the corresponding results in (Xu, 2004). 展开更多
关键词 Viscosity approximation methods weakly contractive mapping Fixed point weakly sequentially continuous duality mapping
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An Augmented Jacobian Method for Power Flow Analysis of Weakly Looped Distribution Systems with PV Buses
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作者 陈星莺 余昆 单渊达 《Journal of Southeast University(English Edition)》 EI CAS 2002年第3期216-220,共5页
A power flow analysis method for weakly looped distribution systems with PV buses is proposed in this paper. The proposed method is computationally more efficient and more robust compared with the conventional compens... A power flow analysis method for weakly looped distribution systems with PV buses is proposed in this paper. The proposed method is computationally more efficient and more robust compared with the conventional compensation methods. The robustness is achieved by embedding the boundary conditions of loops and PV buses into the Jacobian matrix. The computational efficiency is achieved by the carefully designed factorization of Jacobian matrix. Test results on a 33 bus system are presented. 展开更多
关键词 power flow radial distribution systems weakly loops PV bus
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关于Pseudo Weakly Clean环
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作者 郝亚璞 陈焕艮 《杭州师范大学学报(自然科学版)》 CAS 2016年第5期514-521,共8页
一个环R叫做pseudo weaklyclean环,如果R中的每一个元素都可以写成x=e+u+(1-e)rx或x=-e+u+(1-e)rx的形式,其中e是幂等元,u是可逆元.R的pseudo weakly clean性在斜幂级数环R[[x;o]],Hurwitz级数环H(R),T(R,a)上都满足.同时上三角矩阵的ps... 一个环R叫做pseudo weaklyclean环,如果R中的每一个元素都可以写成x=e+u+(1-e)rx或x=-e+u+(1-e)rx的形式,其中e是幂等元,u是可逆元.R的pseudo weakly clean性在斜幂级数环R[[x;o]],Hurwitz级数环H(R),T(R,a)上都满足.同时上三角矩阵的pseudo weak cleanness得以讨论.更进一步我们证明以下几点是等价的:R是pseudo weakly clean环;存在整数n,使得R[x]/(x^(n))是pseudo weakly clean环;存在整数n,使R[[x]]/(x^(n))是pseudoweakly clean环. 展开更多
关键词 pseudo weakly clean环 斜幂级数环 Hurwitz级数环 weakly exchange环 理想
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On Weakly r-Clean Rings
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作者 Hanpeng GAO Xiaobin YIN 《Journal of Mathematical Research with Applications》 CSCD 2017年第5期543-549,共7页
As generalization of r-clean rings and weakly clean rings, we define a ring R is weakly r-clean if for any a E R there exist an idempotent e and a regular element r such that a = r + e or a = r - e. Some properties a... As generalization of r-clean rings and weakly clean rings, we define a ring R is weakly r-clean if for any a E R there exist an idempotent e and a regular element r such that a = r + e or a = r - e. Some properties and examples of weakly r-clean rings are given. Furthermore, we prove the weakly clean and weakly r-clean rings are equivalent for abelian rings. 展开更多
关键词 r-clean rings weakly clean rings weakly r-clean rings regular rings
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