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例说应用导数证明不等式
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作者 冯仕虎 《数学学习与研究》 2008年第11期109-110,共2页
在高中数学新课程标准(实验)中,关于导数的教学,有这样的要求:教师应引导学生在解决具体问题的过程中,将研究函数的导数方法与初等方法作比较,让学生体会导数方法在研究函数性质中的一般性和有效性.导数是研究函数性质的一种重要工具.例... 在高中数学新课程标准(实验)中,关于导数的教学,有这样的要求:教师应引导学生在解决具体问题的过程中,将研究函数的导数方法与初等方法作比较,让学生体会导数方法在研究函数性质中的一般性和有效性.导数是研究函数性质的一种重要工具.例如:求函数的单调区间、求最大(小)值、求函数的值域,等等. 展开更多
关键词 数学新课程 不等式问题 函数性质 单调区间 初等 恒成立 贝努利不等式 减函数 解不等式 切线方
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Static characteristics of a novel flux-switching permanent magnet linear motor
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作者 黄磊 余海涛 +2 位作者 胡敏强 周士贵 刘合祥 《Journal of Southeast University(English Edition)》 EI CAS 2011年第1期26-30,共5页
A novel flux-switching permanent magnet linear motor(FSPMLM) is proposed for linear direct driving machine tools.First,the two-and three-dimensional topological configuration of the proposed motor is presented;the b... A novel flux-switching permanent magnet linear motor(FSPMLM) is proposed for linear direct driving machine tools.First,the two-and three-dimensional topological configuration of the proposed motor is presented;the basic operational principle of the FSPMLM is introduced;and the magnetic fields at the two typical conditions of no-load are analyzed.Secondly,the FSPMLM is analyzed by the two-dimensional finite element method(FEM) to investigate the static electromagnetic characteristics such as flux-linkage,back EMF(electromotive force) and inductance performances.The cogging forces of two kinds of FSPMLMs with different shaped cores are analyzed and compared,and the results show that the cogging force is significantly reduced by using the E-shaped cores.Additionally,based on the co-energy method,the thrust equation is derived and verified by the simulation results obtained by the FEM.Finally,an experimental prototype is used to test the characteristics under open circuit and load conditions.The simulation and experimental results indicate that the proposed motor has advantages of a sinusoidal back-EMF waveform,a small cogging effect and a high thrust density,and it is suitable for the application of linear direct driving machine tools. 展开更多
关键词 FLUX-SWITCHING permanent magnet linear motor finite element method static characteristics
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A New Generalization of Extended Tanh—Function Method for Solving Nonlinear Evolution Equations 被引量:15
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作者 ZHENGXue-Dong CHENYong LIBiao ZHANGHong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第6期647-652,共6页
Making use of a new generalized ans?tze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equati... Making use of a new generalized ans?tze and a proper transformation, we generalized the extended tanh-function method. Applying the generalized method with the aid of Maple, we consider some nonlinear evolution equations. As a result, we can successfully recover the previously known solitary wave solutions that had been found by the extended tanh-function method and other more sophisticated methods. More importantly, for some equations, we also obtain other new and more general solutions at the same time. The results include kink-profile solitary-wave solutions, bell-profile solitary-wave solutions, periodic wave solutions, rational solutions, singular solutions and new formal solutions. 展开更多
关键词 nonlinear evolution equations exact solutions symbolic computation Riccati equation
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New Exact Travelling Wave and Periodic Solutions of Discrete Nonlinear Schroedinger Equation 被引量:2
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作者 YANGQin DAIChao-Qing ZHANGJie-Fang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2期240-244,共5页
Some new exact travelling wave and period solutions of discrete nonlinearSchroedinger equation are found by using a hyperbolic tangent function approach, which was usuallypresented to find exact travelling wave soluti... Some new exact travelling wave and period solutions of discrete nonlinearSchroedinger equation are found by using a hyperbolic tangent function approach, which was usuallypresented to find exact travelling wave solutions of certain nonlinear partial differential models.Now we can further extend the new algorithm to other nonlinear differential-different models. 展开更多
关键词 discrete nonlinear Schroedinger equation hyperbolic tangent functionapproach solitary wave solution periodic wave solution
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Extended Complex tanh-Function Method and Exact Solutions to (2+1)-Dimensional Hirota Equation 被引量:1
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作者 ZHAO Hong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第2期200-202,共3页
In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is mo... In this paper, a new extended complex tanh-function method is presented for constructing traveling wave, non-traveling wave, and coefficient functions' soliton-like solutions of nonlinear equations. This method is more powerful than the complex tanh-function method [Chaos, Solitons and Fractals 20 (2004) 1037]. Abundant new solutions o[ (2q-1)-dimensional Hirota equation are obtained by using this method and symbolic computation system Maple. 展开更多
关键词 nonlinear equations symbolic computation extended complex tanh-function method exact solutions
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A Position-Based Handoff Scheme in WAVE Systems 被引量:1
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作者 罗涛 吕子茹 +1 位作者 姚哲 向卫东 《China Communications》 SCIE CSCD 2011年第1期95-101,共7页
IEEE 802.11p has been proposed to extend the application of IEEE 802.11 to Wireless Access fast fading Vehicular Environments (WAVE).Due to the high velocities of vehicles and thus the inconstant topology of networks,... IEEE 802.11p has been proposed to extend the application of IEEE 802.11 to Wireless Access fast fading Vehicular Environments (WAVE).Due to the high velocities of vehicles and thus the inconstant topology of networks,it is extremely difficult to maintain communications without handoff in an Internet of Vehicles (IoV).Hence,fast handoff from one roadside unit (RSU) to another is necessary.Although some solutions have been given in IEEE 802.11r and 802.11f standards,the handoff latency is still as high as about 50 ms when adopting them.To address this issue in WAVE systems,a novel position-based handoff (PHO) scheme is proposed in this paper.In PHO scheme,the triggering of the handoff is accomplished by the location information of a vehicle instead of the power level of the received signal.Both the handoff process and latency of PHO scheme are analyzed.Finally,to verify the analytical results,simulations were conducted to date the effectiveness of the proposed PHO scheme. 展开更多
关键词 HANDOFF Internet of Vehicles WAVE
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Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach
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作者 DAI Chao-Qing ZHANG Jie-Fang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第1X期23-27,共5页
In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equati... In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach. 展开更多
关键词 discrete sine-Gordon equation exact travelling wave solution extended tanh-function approach
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搭建脚手架 透析一典题
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作者 王良继 《湖南中学物理》 2013年第12期77-78,共2页
笔者在组织物理必修2模块的复习教学时,使用了一道典型例题,教学中发现该题具有多方面教育功能:检查学生知识掌握情况,学生物理思维水平情况,学生思考问题方式和质疑能力等情况。现就该题教学过程及教学中的思维成果整理成文,供同仁们... 笔者在组织物理必修2模块的复习教学时,使用了一道典型例题,教学中发现该题具有多方面教育功能:检查学生知识掌握情况,学生物理思维水平情况,学生思考问题方式和质疑能力等情况。现就该题教学过程及教学中的思维成果整理成文,供同仁们参考。原题图文:如图1所示,上表面有一段光滑圆弧的质量为M的小车A置于光滑平面上,在一质量为m的物体B自弧上端自由滑下的同时释放A。 展开更多
关键词 物理思维 质疑能力 教学过程 复习教学 典型例题 成果整理 知识掌握情况 运动轨迹 曲线运动 切线方
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数形结合思想在解题中的应用
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作者 田玉芳 《数学爱好者(高考版)》 2008年第4期17-18,共2页
所谓数形结合,就是根据数与形之间的对应关系,通过数与形的相互转化来解决数学问题.数形结合是数学解题中常用的思想方法,这种思想可以使某些抽象的数学问题直观化、生动化,变抽象思维为形象思维,有助于把握数学问题的实质,优化解题过程.
关键词 数形结合思想 数学问题 数学解题 直观化 解题过程 高考试题 最值问题 一元二次 生动化 切线方
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高考数学第二、三轮复习的四个到位与四个注意
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作者 吴金安 《湖北招生考试》 2005年第5期33-36,共4页
高考数学复习通常分为三个阶段:9月-次年2月底(俗称第一轮复习);3月初-4月底(俗称第二轮复习);4月-5月底(俗称第三轮复习)。每一轮复习的目标任务不同:第一轮复习全面覆盖知识点。
关键词 高考数学 化归思想 恒成立 函数思想 数形结合思想 通项公式 抽象函数 点斜式 解题能力 切线方
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On the Regularity of Shear Thickening Viscous Fluids 被引量:4
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作者 Francesca CRISPO 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第3期273-280,共8页
The aim of this note is to improve the regularity results obtained by H. Beirao da Veiga in 2008 for a class of p-fluid flows in a cubic domain. The key idea is exploiting the better regularity of solutions in the tan... The aim of this note is to improve the regularity results obtained by H. Beirao da Veiga in 2008 for a class of p-fluid flows in a cubic domain. The key idea is exploiting the better regularity of solutions in the tangential directions with respect to the normal one, by appealing to anisotropic Sobolev embeddings. 展开更多
关键词 Non-Newtonian fluids Shear dependent viscosity Boundary regularity
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Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate 被引量:1
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作者 YAO MingHui ZHANG Wei YAO ZhiGang 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第8期2064-2079,共16页
The multi-pulse orbits and chaotic dynamics of a simply supported laminated composite piezoelectric rectangular plate under combined parametric excitation and transverse excitation are studied in detail. It is assumed... The multi-pulse orbits and chaotic dynamics of a simply supported laminated composite piezoelectric rectangular plate under combined parametric excitation and transverse excitation are studied in detail. It is assumed that different layers are perfectly bonded to each other with piezoelectric actuator patches embedded. The nonlinear equations of motion for the laminated composite piezoelectric rectangular plate are derived from von Karman-type equation and third-order shear deformation plate theory of Reddy. The two-degree-of-freedom dimensionless equations of motion are obtained by using the Galerkin approach to the partial differential governing equation of motion for the laminated composite piezoelectric rectangular plate. The four-dimensional averaged equation in the case of primary parametric resonance and 1:3 internal resonances is obtained by using the method of multiple scales. From the averaged equation, the theory of normal form is used to find the explicit formulas of normal form. Based on the normal form obtained, the energy phase method is utilized to analyze the multi-pulse global bifurcations and chaotic dynamics for the laminated composite piezoelectric rectangular plate. The analysis of the global dynamics indicates that there exist multi-pulse jumping orbits in the perturbed phase space of the averaged equation. Based on the averaged equation obtained, the chaotic motions and the Shilnikov type multi-pulse orbits of the laminated composite piezoelectric rectangular plate are also found by numerical simulation. The results obtained above mean the existence of the chaos in the Smale horseshoe sense for the simply supported laminated composite piezoelectric rectangular plate. 展开更多
关键词 laminated composite piezoelectric rectangular plates multi-pulse orbit chaotic dynamics energy phase method
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Flexural response of doubly curved laminated composite shells
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作者 SHARMA Ambuj UPADHYAY A. K. SHUKLA K. K. 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2013年第4期812-817,共6页
In the present work, analytical solutions for laminated composite doubly curved panels on rectangular plan form undergoing small deformations and subjected to uniformly distributed transverse load have been obtained. ... In the present work, analytical solutions for laminated composite doubly curved panels on rectangular plan form undergoing small deformations and subjected to uniformly distributed transverse load have been obtained. The problem is formulated using first order shear deformation theory. The spatial descretization of the linear differential equations is carried out using fast converging finite double Chebyshev series. The effect of panel thickness, curvature, boundary conditions, lamination scheme as well as material property on the static response of panel has been investigated in detail. 展开更多
关键词 doubly curved panel analytical CHEBYSHEV STATIC rectangular plan form
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Switching Between Antenna Subset Selection and Quasi-Orthogonal Space-Time Block Code in Presence of Correlation
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作者 闫正航 杨宇航 +1 位作者 马懋德 陆亿泷 《Journal of Shanghai Jiaotong university(Science)》 EI 2009年第6期651-658,共8页
We address the problem of adaptive modulation and coding scheme(AMCS) for a multi-input multioutput(MIMO) system in presence of time-varying transmitting correlation.Antenna subset selection and quasiorthogonal space-... We address the problem of adaptive modulation and coding scheme(AMCS) for a multi-input multioutput(MIMO) system in presence of time-varying transmitting correlation.Antenna subset selection and quasiorthogonal space-time block code(QOSTBC) have different error performances with different signal-to-noise ratios(SNRs) and in different spatial correlation scenarios.The error performance can be improved by selecting an appropriate transmission scheme to adapt to various channel conditions.The maximum distance criterion is the simplest and very effective algorithm for the antenna subset selection without needs of complex calculation and channel state information at transmitter(CSIT).The minimum error performance criteria and the simplified linear decision strategy are developed for constant transmission rate traffic to select the optimal transmission scheme.It can dramatically decrease algorithm complexity for obtaining error probability according to the known quantities comparing with using instant CSIT.Simulation results show that,remarkable performances including low SNR and weak spatial correlation at the expense of simple calculation and almost no bandwidth loss by adopting AMCS can be achieved.The proposed AMCS improves robustness of slowly varying spatial correlated channels. 展开更多
关键词 multi-input multi-output (MIMO) adaptive modulation and coding quasi-orthogonal space-time block code (QOSTBC) correlated fading channels antenna subset selection
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Global synchronization of discrete-time coupled neural networks with Markovian switching and impulses
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作者 Jie Tan Chuandong Li 《International Journal of Biomathematics》 2016年第3期157-176,共20页
This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to: (1) the jump- ing parameters that are modeled as a con... This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to: (1) the jump- ing parameters that are modeled as a continuous-time, discrete-state Markov process; (2) impulsive disturbances; and (3) time delays that include both the mode-dependent discrete and distributed delay. By constructing suitable Lyapuno-Krasovskii functional and combining with linear matrix inequality approach, several novel criteria are derived for verifying the global exponential synchronization in the mean square of such stochas- tic dynamical networks. The derived conditions are established in terms of linear matrix inequalities, which can be easily solved by some available software packages. A simu- lation example is presented to show the effectiveness and applicability of the obtained results, 展开更多
关键词 Global synchronization coupled neural networks Markovian switching impulses.
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