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巧用广义约分,避免分式增根
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作者 胡柳青 《数理化解题研究(初中版)》 2017年第1期17-17,共1页
解分式方程是初中数学的重点之一,现行教材中只介绍了一种最基本的解法,把分式方程的两边同乘以各分式的最简公分母,通过去分母把分式方程转化为整式方程求解,还强调了解分式方程有增根,解后必须验根.分式方程采用这种解法显得十分繁琐... 解分式方程是初中数学的重点之一,现行教材中只介绍了一种最基本的解法,把分式方程的两边同乘以各分式的最简公分母,通过去分母把分式方程转化为整式方程求解,还强调了解分式方程有增根,解后必须验根.分式方程采用这种解法显得十分繁琐,对某些较复杂的甚至无能为力.那么分式方程的求解时能否不产生增根,从而不需要验根,方法是否还可以更为简便些呢? 展开更多
关键词 增根 最简公分母 整式方程 请看 现行教材 题过程 不等价 实数 方程 合同解
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Urchin-like CoCu Bimetallic Nanocomposites for Catalytic Hydrogenolysis of Glycerol to Propanediols
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作者 刘琪英 仇松柏 +1 位作者 王铁军 马隆龙 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2013年第3期347-354,I0004,共9页
Bimetallic CoCu nanocomposites were synthesized in polyol by using Ru as heterogeneous nucleation agent and stearic acid as surfactant, and their catalytic properties were investi- gated by hydrogenolysis of glycerol ... Bimetallic CoCu nanocomposites were synthesized in polyol by using Ru as heterogeneous nucleation agent and stearic acid as surfactant, and their catalytic properties were investi- gated by hydrogenolysis of glycerol to propanediols. It was found that the surfactant could induce Co nanocrystals to form nanowires as structure-directing agent, while it's ineffective for Cu because only spherical Cu particles were produced under the same condition. When Co2+ and Cu2+ coexist in polyol, Cu2+ is firstly reduced and forms the spherical particles, and then the Cu particles afford surface for the subsequential reduction of Co2+ and growth of Co nanocrystals to form the nanorods, obtaining the urchin-like CoCu nanocomposites. The catalytic performance in selective hydrogenolysis of glycerol to propanediols proposed that the CoCu urchin-like nanocomposites was superior to the Co nanowires possibly due to that the synergistic effect between Co and Cu component promoted conversion of glyc- erol and obtained the higher propanediol yields based on the specific surface areas of the catalysts. 展开更多
关键词 CoCu urchin NANOCOMPOSITE Hydrogenolysis of glycerol PROPANEDIOL Syn-ergistic effect
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Joint eigenvalue estimation by balanced simultaneous Schur decomposition
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作者 付佗 高西奇 《Journal of Southeast University(English Edition)》 EI CAS 2006年第4期445-450,共6页
The problem of joint eigenvalue estimation for the non-defective commuting set of matrices A is addressed. A procedure revealing the joint eigenstructure by simultaneous diagonalization of. A with simultaneous Schur d... The problem of joint eigenvalue estimation for the non-defective commuting set of matrices A is addressed. A procedure revealing the joint eigenstructure by simultaneous diagonalization of. A with simultaneous Schur decomposition (SSD) and balance procedure alternately is proposed for performance considerations and also for overcoming the convergence difficulties of previous methods based only on simultaneous Schur form and unitary transformations, it is shown that the SSD procedure can be well incorporated with the balancing algorithm in a pingpong manner, i. e., each optimizes a cost function and at the same time serves as an acceleration procedure for the other. Under mild assumptions, the convergence of the two cost functions alternately optimized, i. e., the norm of A and the norm of the left-lower part of A is proved. Numerical experiments are conducted in a multi-dimensional harmonic retrieval application and suggest that the presented method converges considerably faster than the methods based on only unitary transformation for matrices which are not near to normality. 展开更多
关键词 direction of arrival multi-dimensional harmonic retrieval joint eigenvalue simultaneous Schur decomposition balance algorithm
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Three-Dimensional Thermal-Stress Analysis of Semi-infinite Transversely Isotropic Composites
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作者 TOKOVYY Yuriy BOIKO Dmytro GAO Cunfa 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第1期18-28,共11页
By making use of the direct integration method,an exact analysis of the general three-dimensional thermoelasticity problem is performed for the case of a transversely isotropic homogeneous half-space subject to local ... By making use of the direct integration method,an exact analysis of the general three-dimensional thermoelasticity problem is performed for the case of a transversely isotropic homogeneous half-space subject to local thermal and force loadings.The material plane of isotropy is assumed to be parallel to the limiting surface of the halfspace.By reducing the original thermoelasticity equations to the governing ones for individual stress-tensor components,the effect of material anisotropy in the stress field is analyzed with regard to the feasibility requirement,i.e.,the finiteness of the stress field at a distance from the disturbed area.As a result,the solution is constructed in the form of explicit analytical dependencies on the force and thermal loadings for various kinds of transversely isotropic materials and agrees with the basic principles of the continua mechanics.The solution can be efficiently used as a benchmark one for the direct computation of temperature and thermal stresses in transversely isotropic semi-infinite domains,as well as for the verification of solutions constructed by different means. 展开更多
关键词 three-dimensional problem analytical solution transversely isotropic composites semi-infinite model force and thermal loadings finite stress distributions
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危险增加通知义务探究——兼述我国《保险法》第37条的修改与完善 被引量:1
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作者 卢纯昕 《中国商法年刊》 2007年第1期642-648,共7页
一、问题的提出(一)法理基础——对价平衡原理与情势变更原则任何交易都必须遵循对价平衡原理,以保证交易的公平。保险交易建立在保险精算的科学基础上,保险人通过"大数法则"来确定事故发生概率。
关键词 危险增加 通知义务 情势变更原则 保险交易 保险合同 保险事故 通知保险 保险标的 诚信原则 合同解
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DESYNCHRONIZATION OF TWO COUPLED LIMIT-CYCLE OSCILLATORS USING AN ASTROCYTE-INSPIRED CONTROLLER
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作者 GHAZAL MONTASERI MOHAMMAD JAVAD YAZDANPANAH 《International Journal of Biomathematics》 2014年第1期1-23,共23页
Astrocytes have potential to break synchrony between neurons. Authors' recent researches reveal that astrocytes vary the synchronization threshold and provide an appropriate feedback control in stabilizing neural act... Astrocytes have potential to break synchrony between neurons. Authors' recent researches reveal that astrocytes vary the synchronization threshold and provide an appropriate feedback control in stabilizing neural activities. In this study, we propose an astrocyte-inspired controller for desynchronization of two coupled limit-cycle oscillators as a minimal network model. The design procedure consists of two parts. First, based on the astrocyte model, the structure of the dynamic controller is suggested. Then, to have an emcient controller, parameters of controller are tuned through an optimization algo- rithm. The proposed bio-inspired controller takes advantages of three important proper- ties: (1) the controller desynchronizes the oscillators without any undesirable effects (e.g. stopping, annihilating or starting divergent oscillations); (2) it consumes little effort to preserve the desirable desynchronized state; and (3) the controller is robust with respect to parameters' variations. Simulation results reveal the ability of the proposed controller. 展开更多
关键词 Astrocyte dynamic model bio-inspired controller coupled limit-cycle oscillators DESYNCHRONIZATION optimization
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