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SOME PROPERTIES OF THE INTEGRATION OPERATORS ON THE SPACES F(p,q,s)
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作者 陈家乐 《Acta Mathematica Scientia》 SCIE CSCD 2024年第1期173-188,共16页
We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on ... We study the closed range property and the strict singularity of integration operators acting on the spaces F(p,pα-2,s).We completely characterize the closed range property of the Volterra companion operator I_(g)on F(p,pα-2,s),which generalizes the existing results and answers a question raised in[A.Anderson,Integral Equations Operator Theory,69(2011),no.1,87-99].For the Volterra operator J_(g),we show that,for 0<α≤1,J_(g)never has a closed range on F(p,pα-2,s).We then prove that the notions of compactness,weak compactness and strict singularity coincide in the case of J_(g)acting on F(p,p-2,s). 展开更多
关键词 integration operator closed range property strict singularity
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Influences of fluid physical properties,solid particles,and operating conditions on the hydrodynamics in slurry reactors 被引量:2
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作者 He Yang Aqiang Chen +4 位作者 Shujun Geng Jingcai Cheng Fei Gao Qingshan Huang Chao Yang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2022年第4期51-71,共21页
Slurry reactors are popular in many industrial processes,involved with numerous chemical and biological mixtures,solid particles with different concentrations and properties,and a wide range of operating conditions.Th... Slurry reactors are popular in many industrial processes,involved with numerous chemical and biological mixtures,solid particles with different concentrations and properties,and a wide range of operating conditions.These factors can significantly affect the hydrodynamic in the slurry reactors,having remarkable effects on the design,scale-up,and operation of the slurry reactors.This article reviews the influences of fluid physical properties,solid particles,and operating conditions on the hydrodynamics in slurry reactors.Firstly,the influence of fluid properties,including the density and viscosity of the individual liquid and gas phases and the interfacial tension,has been reviewed.Secondly,the solid particle properties(i.e.,concentration,density,size,wettability,and shape)on the hydrodynamics have been discussed in detail,and some vital but often ignored features,especially the influences of particle wettability and shape,as well as the variation of surface tension because of solid concentration alteration,are highlighted in this work.Thirdly,the variations of physical properties of fluids,hydrodynamics,and bubble behavior resulted from the temperature and pressure variations are also summarized,and the indirect influences of pressure on viscosity and surface tension are addressed systematically.Finally,conclusions and perspectives of these notable influences on the design and scale-up of industrial slurry reactors are presented. 展开更多
关键词 Multiphase reactors Fluid physical properties PARTICLE operating conditions Bubble column Airlift loop reactor
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Ethanol sensing properties of Bi_(3.15)Nd_(0.85)Ti_3O_(12) films at low operating temperatures
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作者 Hong JIANG Yong ZHANG 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2016年第12期3189-3195,共7页
Bi3.15Nd0.85Ti3O12 (BNdT) films were deposited on Pt/Ti/SiO2/Si(100) substrates by a metal organic decomposition (MOD)method, and annealed by a rapid thermal annealing process in oxygen atmosphere and in air, respecti... Bi3.15Nd0.85Ti3O12 (BNdT) films were deposited on Pt/Ti/SiO2/Si(100) substrates by a metal organic decomposition (MOD)method, and annealed by a rapid thermal annealing process in oxygen atmosphere and in air, respectively. The crystalline structuresand morphologies of BNdT films were characterized by X-ray diffraction and field-emission scanning electron microscopy, and thegas sensing properties were measured by monitoring its resistance at different gas concentrations. The results indicate that the BNdTfilms annealed in air are of porous microstructure and rough surface, and the annealing atmosphere has great influence on gas sensingproperties. At an operating temperature of 100 °C, the BNdT films annealed in air are of high response value to 1×10?6 gaseousethanol, and the detecting limit is as low as 0.1×10?6. The corresponding response and recovery time is about 10 and 6 s, respectively.The results can offer useful guidelines for fabricating high performance ethanol sensors. 展开更多
关键词 BNdT film ethanol sensing properties metal organic decomposition annealing atmosphere low operating temperature
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Influence of pavement frictional properties on braking distance 被引量:6
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作者 丛菱 黄晓明 《Journal of Southeast University(English Edition)》 EI CAS 2011年第2期210-212,共3页
In order to study the relationship between pavement friction management criteria and braking distance requirements of road geometric design, an approach for determining the braking distance considering pavement fricti... In order to study the relationship between pavement friction management criteria and braking distance requirements of road geometric design, an approach for determining the braking distance considering pavement frictional properties is proposed. A finite element model (FEM) of a rolling tire under steady state is established based on theoretical hydrodynamics and mechanics principles, in which factors, including tire type, water film thickness, pavement surface properties, and vehicle speed, are considered. With the FEM, braking distances under different operating conditions are calculated. Furthermore, the allowable water film thickness is determined by comparing braking distances calculated with friction management criteria and that required by road geometric design. The results show that the braking distance is affected by the above operating conditions. As a result, it is necessary to maintain consistency between geometric design braking distance requirements and pavement friction management to achieve safe road operations. 展开更多
关键词 pavement frictional properties braking distance operating conditions finite element simulation
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Boundary properties for several singular integral operators in real Clifford analysis 被引量:7
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作者 YANG He-ju XIE Yong-hong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第3期349-358,共10页
On the basis of the Cauchy integral formulas for regular and biregular functions, we define some Cauchy-type singular integral operators. Then we discuss the Holder continuous property of some singular integral operat... On the basis of the Cauchy integral formulas for regular and biregular functions, we define some Cauchy-type singular integral operators. Then we discuss the Holder continuous property of some singular integral operators with one integral variable. Then we divide a singular integral operator with two variables into three parts and prove its Holder continuous property on the boundary. 展开更多
关键词 Singular integral operator Holder continuous function boundary property.
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Backfill support's backfill and operation properties and evaluation 被引量:4
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作者 ZHANG Qiang DU Chang-long +3 位作者 ZHANG Ji-xiong WANG Jia-qi LI Meng QI Wen-yue 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第6期1524-1534,共11页
To ensure compacted backfilling, it is essential to ensure the reliability of the performance of a solid backfill support, key equipment for integrating backfilling and mining. To evaluate the backfilling performance ... To ensure compacted backfilling, it is essential to ensure the reliability of the performance of a solid backfill support, key equipment for integrating backfilling and mining. To evaluate the backfilling performance of a backfill support, the concept of backfill and operation properties is proposed in this study. Moreover, it is elaborated in terms of five aspects, namely, structural property, supporting property, tamping property, mechanical response property, and geological adaptation property, which are specifically reflected by 14 indexes including the supporting intensity and vertical roof gap. Seven separate evaluation indexes are selected to build a backfill and operation properties based system for evaluating the design schemes of the backfill support via a multi-index comprehensive evaluation method; then, the evaluation method and process together with measures to control the backfill and operation properties are proposed. By using this system, 11 schemes for optimizing the ZC5200/14.5/3 backfill support at Zhaizhen Coal Mine are evaluated, and scheme #10 is found to show superior vertical roof gap and other backfill and operation properties, thus demonstrating the reasonability of the evaluation system. On this basis, the backfill support research framework of designing initial scheme, optimizing design scheme, selecting the best evaluation indexes, evaluating optimizing scheme, and evaluating operation properties is built; this should serve as an important reference for further studies on the roof controlling performance of a backfill support. 展开更多
关键词 backfilling coal mining backfill and operation properties tamping force vertical roof gap horizontal roofgap evaluation method
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Photon-added and photon-subtracted displaced Fock states and their non-classical properties 被引量:1
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作者 司坤 张淼 贾焕玉 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第11期4887-4892,共6页
A new kind of quantum optical state, photon-added and -subtracted displaced Fock states, is introduced by applying the inverse of bosonic creation and annihilation operators to displaced Fock states. The quantum stati... A new kind of quantum optical state, photon-added and -subtracted displaced Fock states, is introduced by applying the inverse of bosonic creation and annihilation operators to displaced Fock states. The quantum statistical properties of these states are investigated by numerical methods. Numerical results indicate that these states reveal some interesting non-classical properties, such as anti-bunching effects, sub-Poisson distributions and negativities of their Wigner functions. 展开更多
关键词 Boson inverse operators photon-added and -subtracted states non-classical property
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Several Properties of p-w-hyponormal Operators 被引量:1
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作者 LI Hai-ying YANG Chang-sen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第2期195-201,共7页
In this paper, let T be a bounded linear operator on a complex Hilbert H. We give and prove that every p-w-hyponormal operator has Bishop's property(β) and spectral properties; Quasi-similar p-w-hyponormal operat... In this paper, let T be a bounded linear operator on a complex Hilbert H. We give and prove that every p-w-hyponormal operator has Bishop's property(β) and spectral properties; Quasi-similar p-w-hyponormal operators have equal spectra and equal essential spectra. Finally, for p-w-hyponormal operators, we give a kind of proof of its normality by use of properties of partial isometry. 展开更多
关键词 Aluthge transformation Bishop's property(β) quasi-similar w-hyponormal operators p-w-hyponormal operators
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DENSITY PROPERTIES OF MAPPING SPACES FOR OPERATOR SPACES
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作者 董浙 姜海益 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期399-407,共9页
In this article, we give the sufficient and necessary conditions for which several important mapping spaces are weak* dense in the corresponding completely bound mapping spaces.
关键词 operator space mapping space OAP DENS ity property
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Construction of Laguerre polynomial's photon-added squeezing vacuum state and its quantum properties
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作者 Dao-Ming Lu 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第3期70-74,共5页
Laguerre polynomial’s photon-added squeezing vacuum state is constructed by operation of Laguerre polynomial’s photon-added operator on squeezing vacuum state. By making use of the technique of integration within an... Laguerre polynomial’s photon-added squeezing vacuum state is constructed by operation of Laguerre polynomial’s photon-added operator on squeezing vacuum state. By making use of the technique of integration within an ordered product of operators, we derive the normalization coefficient and the calculation expression of ■. Its statistical properties, such as squeezing, the anti-bunching effect, the sub-Poissonian distribution property, the negativity of Wigner function, etc., are investigated. The influences of the squeezing parameter on quantum properties are discussed. Numerical results show that,firstly, the squeezing effect of the 1-order Laguerre polynomial’s photon-added operator exciting squeezing vacuum state is strengthened, but its anti-bunching effect and sub-Poissonian statistical property are weakened with increasing squeezing parameter; secondly, its squeezing effect is similar to that of squeezing vacuum state, but its anti-bunching effect and subPoissonian distribution property are stronger than that of squeezing vacuum state. These results show that the operation of Laguerre polynomial’s photon-added operator on squeezing vacuum state can enhance its non-classical properties. 展开更多
关键词 QUANTUM optics LAGUERRE polynomial's operATOR SQUEEZING VACUUM state QUANTUM property
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Spectral properties and geometric interpretation of R-filters
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作者 冷拓 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第1期109-120,共12页
By applying the Fourier analysis, we study the spectral properties of R- filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation ... By applying the Fourier analysis, we study the spectral properties of R- filters. Further, we prove that R-filters are a generalization of least squares polynomial adjustment, and we give the geometric interpretation of R-filters. 展开更多
关键词 R-filter HP-filter spectral properties Fourier analysis Hess-matrix operator theory
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ON SHAPE-PRESERVING PROPERTIES AND SIMULTANEOUS APPROXIMATION OF STANCU OPERATOR
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作者 Lianying Yun Xueyan Xiang 《Analysis in Theory and Applications》 2008年第2期195-204,共10页
In the present paper, the shape-preserving properties and the monotonicity for convex functions of Stancu operator are given. Moreover, the simultaneous approximation problems of this operator are also considered.
关键词 Stancu operator Shape-preserving property Lipschitz preserving property simultaneous approximation
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Photon statistical properties of photon-added two-mode squeezed coherent states
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作者 许雪芬 王帅 唐斌 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期284-290,共7页
We investigate photon statistical properties of the multiple-photon-added two-mode squeezed coherent states (PA- TMSCS). We find that the photon statistical properties are sensitive to the compound phase involved in... We investigate photon statistical properties of the multiple-photon-added two-mode squeezed coherent states (PA- TMSCS). We find that the photon statistical properties are sensitive to the compound phase involved in the TMSCS. Our numerical analyses show that the photon addition can enhance the cross-correlation and anti-bunching effects of the PA- TMSCS. Compared with that of the TMSCS, the photon number distribution of the PA-TMSCS is modulated by a factor that is a monotonically increasing function of the numbers of adding photons to each mode; further, that the photon addition essentially shifts the photon number distribution. 展开更多
关键词 photon statistical properties two-mode squeezed coherent state non-Gaussian operation photon addition
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APPROXIMATION AND SHAPE-PRESERVING PROPERTIES OF Q-STANCU OPERATOR
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作者 Lianying Yun Rongwei Wang 《Analysis in Theory and Applications》 2011年第3期201-210,共10页
We introduce the definition of q-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of f(x) and Ln = f(f, q;x) the shape-preserving property of q-Sta... We introduce the definition of q-Stancu operator and investigate its approximation and shape-preserving property. With the help of the sign changes of f(x) and Ln = f(f, q;x) the shape-preserving property of q-Stancu operator is obtained. 展开更多
关键词 q-Stancu operator shape-preserving property sign change
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Some Properties of a Kind of Singular Integral Operator with Weierstrass Function Kernel
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作者 Lixia Cao 《Applied Mathematics》 2013年第8期1231-1235,共5页
We considered a kind of singular integral operator with Weierstrass function kernel on a simple closed smooth curve in a fundamental period parallelogram. Using the method of complex functions, we established the Bert... We considered a kind of singular integral operator with Weierstrass function kernel on a simple closed smooth curve in a fundamental period parallelogram. Using the method of complex functions, we established the Bertrand Poincaré formula for changing order of the corresponding integration, and some important properties for this kind of singular integral operator. 展开更多
关键词 WEIERSTRASS Function KERNEL SINGULAR Integral operator Bertrand POINCARÉ FORMULA properties
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The Properties of k-quasi-*-A(n) Operator
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作者 zuo fei SHEN Jun-li 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期375-381,共7页
An operator T is called k-quasi-*-A(n) operator, if T^(*k)|T^(1+n)|^(2/(1+n))T^k ≥T^(*k)|T~* |~2T^k , k ∈ Z, which is a generalization of quasi-*-A(n) operator. In this paper we prove some properties of k-quasi-*-A(... An operator T is called k-quasi-*-A(n) operator, if T^(*k)|T^(1+n)|^(2/(1+n))T^k ≥T^(*k)|T~* |~2T^k , k ∈ Z, which is a generalization of quasi-*-A(n) operator. In this paper we prove some properties of k-quasi-*-A(n) operator, such as, if T is a k-quasi-*-A(n) operator and N(T )■N(T~* ), then its point spectrum and joint point spectrum are identical. Using these results, we also prove that if T is a k-quasi-*-A(n) operator and N(T )■N(T ), then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum. 展开更多
关键词 k-quasi-*-A(n) operator QUASISIMILARITY single valued extension property Weyl spectrum essential approximate point spectrum
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The Approximation Properties of Certain Interpolation Operators of Entire Exponential Type (1)
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作者 刘九芬 田继善 《Chinese Quarterly Journal of Mathematics》 CSCD 1993年第2期32-39,共8页
In this paper, the authers introduce certain entire exponential type interpolation operatots and study the convergence problem of these operatots in c(R) or Lp(R) (1≤p<∞)
关键词 entire exponential type interpolation operators covergence property
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Performance of Nonwoven Filter Materials Based on the Operating Condition
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作者 周蓉 杨舒先 +1 位作者 余娟 吕艳如 《Journal of Donghua University(English Edition)》 EI CAS 2016年第4期656-659,共4页
The practical condition of needle-punched filters applied in coal-fired power plants is investigated. According to the actual operating conditions, two common filters (glass fiber filter and polyphenylene sulfide (PPS... The practical condition of needle-punched filters applied in coal-fired power plants is investigated. According to the actual operating conditions, two common filters (glass fiber filter and polyphenylene sulfide (PPS) filter) are selected for experiment. The performance of these two kinds of filter is compared based on a series of tests such as resistance to the acid and alkali, oxidation resistance,hydrolysis resistance,and wear resistance. Experimental results show that PPS filter materials have better properties than those of glass filter material except oxidation resistance. Composite filter mixed glass fiber and PPS is recommended for polluters because of its good properties in all aspects. 展开更多
关键词 hydrolysis retention fired alkali sulfide filtration permeability fabric chemically needle
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“Zero‑Strain” NiNb_(2)O_(6) Fibers for All‑Climate Lithium Storage
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作者 Yan Zhao Qiang Yuan +5 位作者 Liting Yang Guisheng Liang Yifeng Cheng Limin Wu Chunfu Lin Renchao Che 《Nano-Micro Letters》 SCIE EI CAS 2025年第1期348-360,共13页
Niobates are promising all-climate Li^(+)-storage anode material due to their fast charge transport,large specific capacities,and resistance to electrolyte reaction.However,their moderate unit-cellvolume expansion(gen... Niobates are promising all-climate Li^(+)-storage anode material due to their fast charge transport,large specific capacities,and resistance to electrolyte reaction.However,their moderate unit-cellvolume expansion(generally 5%–10%)during Li^(+)storage causes unsatisfactory long-term cyclability.Here,“zero-strain”NiNb_(2)O_(6) fibers are explored as a new anode material with comprehensively good electrochemical properties.During Li^(+)storage,the expansion of electrochemical inactive NiO_(6) octahedra almost fully offsets the shrinkage of active NbO_(6) octahedra through reversible O movement.Such superior volume-accommodation capability of the NiO_(6) layers guarantees the“zero-strain”behavior of NiNb_(2)O_(6) in a broad temperature range(0.53%//0.51%//0.74%at 25//−10//60℃),leading to the excellent cyclability of the NiNb_(2)O_(6) fibers(92.8%//99.2%//91.1%capacity retention after 1000//2000//1000 cycles at 10C and 25//−10//60℃).This NiNb_(2)O_(6) material further exhibits a large reversible capacity(300//184//318 mAh g−1 at 0.1C and 25//−10//60℃)and outstanding rate performance(10 to 0.5C capacity percentage of 64.3%//50.0%//65.4%at 25//−10//60℃).Therefore,the NiNb_(2)O_(6) fibers are especially suitable for large-capacity,fast-charging,long-life,and all-climate lithium-ion batteries. 展开更多
关键词 NiNb_(2)O_(6)porous fiber “Zero-strain”mechanism Electrochemical property Harsh-temperature operation operando characterization
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核电企业知识产权运营管理与实践探究
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作者 周清利 李小燕 +2 位作者 杨国峰 吴崇志 陈佳 《中国发明与专利》 2025年第1期69-79,共11页
[目的/意义]本文旨在深入实施创新驱动发展战略,提升核电企业的自主创新能力和可持续发展水平。[方法/过程]为实现这一目标,本文从国家政策和行业特点出发,提出了具体的指导原则和目标,并完善了知识产权运营体系、提高了知识产权创新水... [目的/意义]本文旨在深入实施创新驱动发展战略,提升核电企业的自主创新能力和可持续发展水平。[方法/过程]为实现这一目标,本文从国家政策和行业特点出发,提出了具体的指导原则和目标,并完善了知识产权运营体系、提高了知识产权创新水平、加强了知识产权风险管控等具体举措。在解决价值评估、收益核算等关键环节方面,本文提出了促进知识产权运用的方法,并结合知识产权运营模式创新研究,推进了知识产权取得创新成效。[结果/结论]通过这些措施的实施,加快实现培育具有国家竞争力的知识产权优势示范企业的目标,壮大企业专利密集型产业规模,进而达到建设高质量发展的知识产权强企的目的。这将为创新相关领域的自主创新和知识产权全周期管理提供有益的借鉴和参考。 展开更多
关键词 核电企业 知识产权运营 自主创新能力 全周期管理 知识产权强企
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