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ON POTENT ELEMENTS AND PSEUDO CLEAN RINGS
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作者 DING Yan GAO Han-peng +2 位作者 LIU Xin-yi YAN Zi-yi ZHANG Ting 《数学杂志》 2025年第1期39-47,共9页
In this paper,potent index of an element and pseudo clean rings are considered.Some properties and examples of pseudo clean rings are given.We also show that Zm is pseudo clean for every 2≤m∈Z and pseudo clean rings... In this paper,potent index of an element and pseudo clean rings are considered.Some properties and examples of pseudo clean rings are given.We also show that Zm is pseudo clean for every 2≤m∈Z and pseudo clean rings are clean.Furthermore,we prove pseudo clean rings are directly finite and have stable range one. 展开更多
关键词 clean rings strongly J-clean rings pseudo clean rings potent elements
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G-clean环和强G-clean环
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作者 陈晓珊 罗丽华 唐高华 《南宁师范大学学报(自然科学版)》 2024年第2期11-15,共5页
设G是单位包映射,如果环R中的每个元素都可表为一个G-幂等元与一个单位之和,则称R是G-clean环;特别地,若其中的G-幂等元与单位还可交换,则称R是强G-clean环。该文给出了G-clean环和强G-clean环的基本性质,并给出了当G保持有限直积时交... 设G是单位包映射,如果环R中的每个元素都可表为一个G-幂等元与一个单位之和,则称R是G-clean环;特别地,若其中的G-幂等元与单位还可交换,则称R是强G-clean环。该文给出了G-clean环和强G-clean环的基本性质,并给出了当G保持有限直积时交换环成为G-clean环的一个充分必要条件。 展开更多
关键词 G-幂等元 G-clean 强G-clean clean clean
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J^(#)-U_(c)-clean环与强J^(#)-U_(c)-clean环
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作者 靳丹亚 黄涛 崔建 《南通大学学报(自然科学版)》 CAS 2024年第1期87-94,共8页
设R是一个环,如果U(R)=U_(c)(R)+J^(#)(R),则称R是GU_(c)J环;如果对于任意a∈R,都存在g∈U_(c)(R),p^(2)=p∈R,d∈J^(#)(R)使得ag=p+d(且ap=pa),则称R是(强)J^(#)-U_(c)-clean环。GU_(c)J环和J^(#)-U_(c)-clean环分别是GUJ环和GJ-clean... 设R是一个环,如果U(R)=U_(c)(R)+J^(#)(R),则称R是GU_(c)J环;如果对于任意a∈R,都存在g∈U_(c)(R),p^(2)=p∈R,d∈J^(#)(R)使得ag=p+d(且ap=pa),则称R是(强)J^(#)-U_(c)-clean环。GU_(c)J环和J^(#)-U_(c)-clean环分别是GUJ环和GJ-clean环的真推广。文章研究了GU_(c)J环的基本性质,证明了R是GU_(c)J环当且仅当R/J是U_(c)U环且U_(c)(R/J)=(U_(c)(R)+J)/J,R是U_(c)J环当且仅当R是GU_(c)J环且R/J是reduced的。此外,给出了(强)J^(#)-U_(c)-clean环的例子,得到了(强)J^(#)-U_(c)-clean环的性质和一些等价刻画,证明了若R是一个交换环,则R是GJ-clean环当且仅当存在整数n≥1使得T_(n)(R)是GJ-clean环,当且仅当存在整数n≥2使得T_(n)(R)是J^(#)-U_(c)-clean环。进一步地,研究了强J^(#)-U_(c)-clean环的Morita不变性。 展开更多
关键词 GUJ环 GJ-clean GU_(c)J环 J^(#)-U_(c)-clean 强J^(#)-U_(c)-clean
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NGR-clean环
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作者 王志强 吴俊 《宿州学院学报》 2024年第3期9-14,21,共7页
若环R中的任意元素都能表示成一个(强)π-正则元和一个幂零元之和,则称环R是(强)NGR-clean环。研究给出(强)NGR-clean环的一些基本性质,证明了若I是环R的诣零理想,则R是NGR-clean环当且仅当R/I是NGR-clean环。此外,还研究了(强)NGR-clea... 若环R中的任意元素都能表示成一个(强)π-正则元和一个幂零元之和,则称环R是(强)NGR-clean环。研究给出(强)NGR-clean环的一些基本性质,证明了若I是环R的诣零理想,则R是NGR-clean环当且仅当R/I是NGR-clean环。此外,还研究了(强)NGR-clean环与一些环类之间的联系以及(强)NGR-clean环的几类扩张。 展开更多
关键词 NR-clean Π-正则环 NGR-clean 强NGR-clean
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关于*r-clean环
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作者 覃健 应志领 周华 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第2期30-32,共3页
称对合环为*r-clean环是指环中任一元素都可表示为投射子和*-正则元的和.研究了该环的一些扩张性质,并给出了*-阿贝尔的*r-clean环中元素的刻画.
关键词 *r-clean *-clean *-正则环
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g(x)-J-clean环
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作者 沈磊 王芳贵 王茜 《四川师范大学学报(自然科学版)》 CAS 北大核心 2018年第4期483-488,共6页
设R是环,J(R)和C(R)分别表示R的Jacobson根与中心,g(x)∈C(R)[x]为一给定多项式.称R为g(x)-J-clean环,如果任何r∈R可表为r=s+j,其中j∈J(R)且g(s)=0.给出g(x)-J-clean环的基本性质,并给出一些J-clean环的等价刻画,考察(x3-x)-clean环与... 设R是环,J(R)和C(R)分别表示R的Jacobson根与中心,g(x)∈C(R)[x]为一给定多项式.称R为g(x)-J-clean环,如果任何r∈R可表为r=s+j,其中j∈J(R)且g(s)=0.给出g(x)-J-clean环的基本性质,并给出一些J-clean环的等价刻画,考察(x3-x)-clean环与弱clean环的关系,也证明(xn-1)-J*-clean环就是有限域. 展开更多
关键词 clean g(x)-J-clean g(x)-clean J-clean clean 有限域
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唯一强Clean群环
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作者 昝立博 《南京信息工程大学学报(自然科学版)》 CAS 2016年第5期479-480,共2页
环称为唯一强clean是指每一个元素都可唯一的表示为可交换的幂等元与单位元的和.主要讨论唯一强clean群环的结构,证明了如果群G是局部有限群,则群环RG是唯一强clean环当且仅当环R是唯一强clean环,群G是2-群.
关键词 群环 clean clean 唯一强clean 唯一clean
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关于正则环和拟clean环的一个注记
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作者 罗丽华 陈晓珊 唐高华 《南宁师范大学学报(自然科学版)》 2024年第1期12-14,共3页
如果对环R中的每个元素a,都存在u∈R使得aua=a,则称R为正则环.如果环R中的每个元素都可分解成一个拟幂等元与一个单位之和,则称R为拟clean环.该文构造了一个列有限矩阵环,说明正则环不一定是拟clean的.
关键词 正则环 clean clean
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J-半Clean环
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作者 殷晓斌 徐莹莹 高汉鹏 《安徽师范大学学报(自然科学版)》 CAS 2018年第5期415-419,共5页
引入了J-半clean环的概念。证明了J-半clean环是clean环。给出了J-半clean环的一些性质,考虑了J-半clean环的扩张。同时证明了J-半clean环是直有限的且有稳定度1。
关键词 强J-半clean 弱J-半clean clean J-半clean clean
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Experimental investigation on coal pore-fracture variation and fractal characteristics synergistically affected by solvents for improving clean gas extraction 被引量:1
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作者 Feilin Han Sheng Xue +3 位作者 Chunshan Zheng Zhongwei Chen Guofu Li Bingyou Jiang 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2024年第3期413-425,共13页
Chemical solvents instead of pure water being as hydraulic fracturing fluid could effectively increase permeability and improve clean methane extraction efficiency.However,pore-fracture variation features of lean coal... Chemical solvents instead of pure water being as hydraulic fracturing fluid could effectively increase permeability and improve clean methane extraction efficiency.However,pore-fracture variation features of lean coal synergistically affected by solvents have not been fully understood.Ultrasonic testing,nuclear magnetic resonance analysis,liquid phase mass spectrometry was adopted to comprehensively analyze pore-fracture change characteristics of lean coal treated by combined solvent(NMP and CS_(2)).Meanwhile,quantitative characterization of above changing properties was conducted using geometric fractal theory.Relationship model between permeability,fractal dimension and porosity were established.Results indicate that the end face fractures of coal are well developed after CS2and combined solvent treatments,of which,end face box-counting fractal dimensions range from 1.1227 to 1.4767.Maximum decreases in ultrasonic longitudinal wave velocity of coal affected by NMP,CS_(2)and combined solvent are 2.700%,20.521%,22.454%,respectively.Solvent treatments could lead to increasing amount of both mesopores and macropores.Decrease ratio of fractal dimension Dsis 0.259%–2.159%,while permeability increases ratio of NMR ranges from 0.1904 to 6.4486.Meanwhile,combined solvent could dissolve coal polar and non-polar small molecules and expand flow space.Results could provide reference for solvent selection and parameter optimization of permeability-enhancement technology. 展开更多
关键词 clean gas extraction Chemical solvent Experimental investigation Fractal characteristics Pore fracture
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New steelmaking process based on clean deoxidation technology 被引量:1
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作者 Zhongliang Wang Yanping Bao 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2024年第6期1249-1262,共14页
After the converter steelmaking process,a considerable number of ferroalloys are needed to remove dissolved oxygen from the molten steel,but it also forms a lot of oxide inclusions that cannot be completely removed.At... After the converter steelmaking process,a considerable number of ferroalloys are needed to remove dissolved oxygen from the molten steel,but it also forms a lot of oxide inclusions that cannot be completely removed.At the same time,it increases the carbon emis-sions in the steel production process.After years of research,our team have developed a series of clean deoxidation technologies,includ-ing carbon deoxidation,hydrogen deoxidation,and waste plastic deoxidation of molten steel to address the aforementioned issues.In this study,thermodynamic calculations and laboratory experiments were employed to verify that carbon and hydrogen can reduce the total oxygen content in the molten steel melt to below 5×10^(-6) and 10×10^(-6),respectively.An analysis of the deoxidation mechanisms and ef-fects of polyethylene and polypropylene was also conducted.In addition,the applications of carbon deoxidation technology in different steels with the hot-state experiment and industrial production were discussed carefully.The carbon deoxidation experimental results of different steels were as follows:(1)the oxygen content of bearing steel was effectively controlled at 6.3×10^(-6) and the inclusion number density was lowered by 74.73%compared to aluminum deoxidized bearing steel;(2)the oxygen content in gear steel was reduced to 7.7×10^(-6) and a 54.49%reduction of inclusion number density was achieved with almost no inclusions larger than 5μm from the average level of industry gear steels;(3)a total oxygen content of M2 high-speed steel was as low as 3.7×10^(-6).In industrial production practice,car-bon deoxidation technique was applied in the final deoxidation stage for non-aluminum deoxidized bearing steel,and it yielded excellent results that the oxygen content was reduced to below 8×10^(-6) and the oxide inclusions in the steel mainly consist of silicates,along with small amounts of spinel and calcium aluminate. 展开更多
关键词 clean deoxidation carbon deoxidation hydrogen deoxidation waste plastics deoxidation
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关于r-semiclean环(英文)
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作者 宋贤梅 梅玉霞 《数学杂志》 CSCD 北大核心 2013年第4期609-616,共8页
本文定义了一种新的环r-semiclean环.环R称为r-semiclean的是指R中的每个元素都可以写成一个正则元和一个周期元的和.本文主要利用环论的方法研究了r-semiclean环的相关性质,推广了clean环和半-clean环的已知结果.
关键词 clean 半-clean r-semiclean
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英语强化词Clean的语法化研究
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作者 程美君 张宏国 《现代语言学》 2024年第9期553-560,共8页
本文以英语强化词“clean”为研究对象,进行语法化的历时演变个案研究。研究基于《牛津英语词典》以及美国历史英语语料库中的语料,分析了强化词“clean”的语法化演变路径、演变机制和动因。研究最后得出结论,“clean”经历了实义形容... 本文以英语强化词“clean”为研究对象,进行语法化的历时演变个案研究。研究基于《牛津英语词典》以及美国历史英语语料库中的语料,分析了强化词“clean”的语法化演变路径、演变机制和动因。研究最后得出结论,“clean”经历了实义形容词到低强化副词再到高强化副词的语法化演变路径,主要分为两个阶段;其演变过程中主要体现了隐喻转喻与主观化两大演变机制,动因主要是语义泛化和效率性动因,并且机制和动因充分体现了人类作为语言使用者的主体性特征。该研究在一定程度上丰富了英语强化词语法化的个案研究,具有一定的参考价值和意义。This paper focuses on the English intensifier “clean”, presenting a case study for its grammaticalization. Based on the Old English Dictionary and the Corpus of Historical American English, the study analyzes the evolutionary path, mechanism and motivation of the grammaticalization of “clean”. The study concludes that with two stages, the evolutionary path is from notional adjective to low-intensive functional adverb, and then to high-intensive functional adverb. Metaphor and metonymy as well as subjectivity are the main mechanisms, while semantic generalization and efficiency factor serve as motivations. Both the mechanism and the motivation demonstrate the predominant role of human beings. This study, to some degree, enriches the case study of the grammaticalization of English intensifiers, with some reference value and significance. 展开更多
关键词 强化词 clean 语法化 机制 动因
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JR-clean环 被引量:1
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作者 程瑶 殷晓斌 《华中师范大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第1期8-14,共7页
引入了(强)JR-clean环的概念.说明了JR-clean环是J-clean环的真推广.研究了(强)JRclean环的一些基本性质以及扩张,同时讨论了(强)JR-clean环与一些特殊环之间的关系.
关键词 clean J-clean JR-clean 强JR-clean
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f-semiclean环及其性质
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作者 郭莉琴 邵海琴 《天水师范学院学报》 2014年第2期1-3,共3页
对clean环和semiclean环做了推广,给出了f-semiclean环的概念,讨论了f-semiclean环的一些重要性质.
关键词 满元素 clean f-clean f-semiclean
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Clean环中的几个上三角矩阵环
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作者 温立书 《辽宁石油化工大学学报》 CAS 2013年第1期94-96,共3页
研究了clean环中的几个上三角矩阵环。通过将clean环的定义推广到任意环(不必有1),得到若R是clean环,G是阶为2的群,满足一定条件,群环RG也是clean环;证明了一些上三角矩阵环是强clean环。最后推广了一些结论,得到一些上三角矩阵环是强f-... 研究了clean环中的几个上三角矩阵环。通过将clean环的定义推广到任意环(不必有1),得到若R是clean环,G是阶为2的群,满足一定条件,群环RG也是clean环;证明了一些上三角矩阵环是强clean环。最后推广了一些结论,得到一些上三角矩阵环是强f-clean环。 展开更多
关键词 clean clean f-clean 上三角矩阵环
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Clean-正合和Clean-导出范畴 被引量:1
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作者 李瑞婷 杨刚 王小青 《数学年刊(A辑)》 CSCD 北大核心 2019年第3期307-324,共18页
在交换环R上,引入了Clean-正合以及Clean-导出范畴的概念,分别给出了Clean-短正合列和Clean-正合复形的等价刻画,研究了Clean-导出范畴的性质.特别地,证明了有界Clean-导出范畴可以实现为特殊的同伦范畴.
关键词 clean-正合复形 clean-投射模 clean-内射模 clean-导出范畴
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Hole cleaning evaluation and installation spacing optimization of cuttings bed remover in extended-reach drilling
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作者 Shuo Peng Wen-Jun Huang De-Li Gao 《Petroleum Science》 SCIE EI CAS CSCD 2024年第3期2005-2022,共18页
In extended-reach or long-horizontal drilling,cuttings usually deposit at the bottom of the annulus.Once cuttings accumulate to a certain thickness,complex problems such as excessive torque and drag,tubing buckling,an... In extended-reach or long-horizontal drilling,cuttings usually deposit at the bottom of the annulus.Once cuttings accumulate to a certain thickness,complex problems such as excessive torque and drag,tubing buckling,and pipe stuck probably occur,which results in a lot of non-productive time and remedial operations.Cuttings bed remover can efficiently destroy deposited cuttings in time through hydraulic and mechanical stirring effects.This paper aims to build a method for hole cleaning evaluation and installation spacing optimization of cuttings bed remover to improve the wellbore cleaning effect.Firstly,a Computational Fluid Dynamics approach with Eulerian—Eulerian multiphase model was utilized to investigate the mechanism of cuttings transportation,and a new type of cuttings bed remover was designed.Next,an evaluation method of hole cleaning effect of remover was established.After that,the effects of several drilling parameters on hole cleaning including flow rate of drilling fluid,rotational speed of drillpipe,rate of penetration,wellbore size,rheological property of drilling fluid,and remover eccentricity on the performance of cuttings bed remover were investigated.The results demonstrate that the new type of remover with streamline blade performs better than conventional removers.The efficiency of hole cleaning is greatly improved by increasing the rotational speed of drillpipe,flow rate of drilling fluid,remover eccentricity,and 6 rpm Fann dial reading for drilling fluid.While higher rate of penetration and large wellbore size result in worse hole cleaning.These findings can serve as an important guide for the structure optimization design of cuttings bed remover and installation spacing of removers. 展开更多
关键词 Extended-reach drlling Drilling hydraulics Cuttings transport Hole cleaning Cuttings bed remover
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Surface activity and cleaning performance of rosin-based quaternary ammonium salt type asymmetric Gemini surfactants
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作者 Haoyu Feng Yaoqi Pan +4 位作者 Yijia Zhang Zhuofan Zhang Yunye Huang Linxi Hou Longqiang Xiao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2024年第9期70-80,共11页
Rosin,a renewable and abundant resource,has been extensively processed and chemically modified to endow it with special properties,especially in the surfactant industry.In this study,four rosin-based quaternary ammoni... Rosin,a renewable and abundant resource,has been extensively processed and chemically modified to endow it with special properties,especially in the surfactant industry.In this study,four rosin-based quaternary ammonium asymmetric gemini surfactants(RGS-2-n)with different alkyl chain lengths(n=12,14,16,18)were synthesized using a simple two-step method based on dehydroabietylamine as the raw material.The feasibility of these surfactants for cleaning purposes was comprehensively evaluated,suggesting that the surfactants own high surface activity and good cleaning performance.Furthermore,by successfully introducing the amine group of dehydroabietylamine into the hydrophilic group of the surfactants,we avoided its potential harm to the environment and water pollution.Density functional theory proves rosin-based gemini surfactants with asymmetric structure can further improve cleaning efficiency.Overall,our findings suggests that RGS-2-n surfactants are promising and sustainable candidates for cleaning electric plates,and provide new opportunities for rosin application in the electric industry. 展开更多
关键词 Electronic components Asymmetric gemini surfactants cleaning performance ROSIN
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Cleaning of two mirrors in the first mirror unit using radiofrequency capacitively coupled plasma
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作者 Chenxue WANG Rong YAN +5 位作者 Yuming LIU Su XU Lei MU Wei ZHENG Rui DING Junling CHEN 《Plasma Science and Technology》 SCIE EI CAS CSCD 2024年第9期165-171,共7页
First mirror(FM)cleaning,using radio frequency(RF)plasma,has been proposed to recover FM reflectivity in nuclear fusion reactors such as the International Thermonuclear Experimental Reactor(ITER).To investigate the in... First mirror(FM)cleaning,using radio frequency(RF)plasma,has been proposed to recover FM reflectivity in nuclear fusion reactors such as the International Thermonuclear Experimental Reactor(ITER).To investigate the influence of simultaneous cleaning of two mirrors on mirror cleaning efficiency and uniformity,experiments involving single-mirror cleaning and dual-mirror cleaning were conducted using RF capacitively coupled plasma in the laboratory.For the test and simultaneous cleaning of two mirrors,the FM and second mirror(SM),both measuring 110 mm×80 mm,were placed inside the first mirror unit(FMU).They were composed of 16 mirror samples,each with a dimension of 27.5 mm×20 mm.These mirror samples consist of a titanium-zirconium-molybdenum alloy substrate,a 500 nm Mo intermediate layer and a 30 nm Al_(2)O_(3) surface coating as a proxy for Be impurities.The cleaning of a single first mirror(SFM)and the simultaneous cleaning of the FM and SM(DFM and DSM)lasted for 9 h using Ar plasma at a pressure of 1 Pa.The total reflectivity of mirror samples on the DSM did not fully recover and varied with location,with a self-bias of−140 V.With a self-bias of−300 V,the total reflectivity of mirror samples on the SFM and DFM was fully recovered.The energy dispersive spectrometer results demonstrated that the Al_(2)O_(3) coating had been completely removed from these mirror samples.However,the mass loss of each mirror sample on the SFM and DFM before and after cleaning varied depending on its location,with higher mass loss observed for mirror samples located in the corners and lower loss for those in the center.Compared with SM cleaning,the simultaneous cleaning of two mirrors reduced the difference between the highest and lowest mass loss.Furthermore,this mass loss for the mirror samples of the DFM facing the DSM was increased.This indicated that mirror samples cleaned face to face in the FMU simultaneously could influence each other,highlighting the need for special attention in future studies. 展开更多
关键词 first mirror unit dual-mirror cleaning REFLECTIVITY sputtering rate
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