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Spectral element methods for partial differencial equation is introduced in this study from viewpoint of the collocation approximation of Chebyshev polynomial. Wave Equation and its space discretization are deduced. Two time integral methods, central difference method and implicit Newmark method, are introduced, and their stability and applicability are also discussed in some details. The significance of absorbing boundary conditions in spectral element methods for Aeroacoustics is explained, and Clayton-Engquist-Majda absorbing boundary conditions is emphasized and introduced, then the discrete scheme of this boundary conditions is deduced and applied to spectral element methods for wave equation.
本文从Chebyshev多项式逼近理论出发,详细介绍了谱元方法求解偏微分方程的过程;推导了流体中的声波动方程并在空间上对其进行了谱元离散;详细讨论了两种时间积分方法──中心差分法和Newmark方法,分析了它们的稳定性条件,并从理论上对比了两种方法的优缺点和适用范围;将吸收边界条件推广应用于谱元方法求解气动声学问题中,重点介绍了Clayton-Engquist-Majda吸收边界条件的原理和公式,推导了该吸收边界条件的变分形式,并将其引入波动方程的离散形式中。
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Three classes of equivalent system methods which are used in finding high order flight control systems low order equivalent are studied. The first class methods are the classical frequency domain-based equivalent system methods which recommended by MIL-F-8785C and MIL-STD-1797A. Five longitudinal low order equivalent systems and fourteen lateral ones are discussed in detail and some pieces of advice are given. Also conduct an investigation in the time domain-based equivalent system methods .
研究了求取高增稳飞机的低阶等效系统的几种方法:研究了经典的频域等效系统方法,针对纵向5种、横向14种构型的低阶等效系统进行了拟配实践,并提出一些有益的看法;以频域等效系统方法为基础,提出了时域等效系统新方法;以最小二乘辨识为基础,提出了两种纵向短周期低阶等效系统时域辨识方法(等效延迟时间τ_q参与或不参与)。
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I cite the ANN methods of the financial risk assessment and the corporate finance composite indicator model of the financial risk assessment, and use the statistics analysis methods, the correlation analysis methods and the factors analysis methods.
本文还通过对企业财务风险类别进行细分,提出了对于不同类型的财务风险采取有针对性的对其相关因素进行分析的方法。
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Methods Two methods,ADAPCO's RAMP System and MAS's VecTest kits were selected. The sensitivity and accuracy of these two methods and its cross-reaction with Japanese Encephalitis virus were tested. These two methods also were used to detect WNV in wild mosquitoes.
选择两种快速检测方法VecTest试剂盒和Ramp系统,对其检测WNV的敏感性、精确性以及与流行性乙型脑炎病毒的交叉反应进行研究,同时对采自北京市野外的蚊虫进行WNV检测。
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According to their processes of construction, the projection methods are classified into three types in the present paper, namely, the Helmholtz-Hodge decomposition projection methods, the operator splitting projection methods and the local continuous projection methods.
本文根据投影方法的构造思路,将众多的投影方法分成了3类,即: Helmholtz-Hodge分解类投影方法、算子分裂类投影方法和局部连续投影方法,并详细的介绍了3类投影方法的发展历程和求解步骤。
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Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.
其中梯度法是一个最常被使用来实现机器学习的方法之一,然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点,因此,本研究提出一个梯度预测搜寻法则(gradient forecasting search method, GFSM)来改善传统梯度法的缺点,用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性;而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素,传统统计为基础之预测方法的缺点是需要较大量的数据进行预测,因此计算复杂度高,灰色预测模型具有建模资料少且计算复杂度低等优点,然而灰色预测理论以连续之微分方程式为基础,并且透过一些数学上的假设与近似,将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测,这样的作法不尽合理,且缺乏数学理论上的完备性,因为在转换过程中已经造成建模上的误差,且建模过程仅考虑相邻的两个资料点关系,无法正确反应数列未来的变化趋势。
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The invention further provides methods for binding a DmGPCR, methods for identifying modulators of DmGPCR expression and activity, methods for controlling a population of insects with a DmGPCR antibody, a DmGPCR antisense polynucleotide, a DmGPCR binding partner or modulator, and methods of preventing or treating a disease or condition associated with an ectoparasite.
本发明还提供了结合DmGPCR的方法,鉴定DmGPCR表达和活性的调节剂的方法,用DmGPCR抗体控制昆虫群体的方法,DmGPCR的反义多核苷酸,DmGPCR结合伴侣或调节剂,和预防或治疗与外寄生虫有关的疾病或情况的方法。
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The abstract result contains several concrete results in the literature and can also be used to deal with some new cases for resonant differential equations.In the introduction, we briefly introduce the development process of the variational methods. In Chapter 2, we list some basic knowledges refering to the variational methods, including the Sobobev space,—△ operator, the weak solution and the minimizing sequence methods and some minimax theorems. In Chapter 3, we introduce the research process of Hamiltonian system of second order and the semilinear elliptic problems, using the methods introduced previously. In Chapter 4, we prove the main theorem of the thesis, and apply it to the problems in the previous Chapter, and can also be applied to some new resonant cases.
在前言中,简要介绍了变分法的产生、发展过程,在第二章中我们介绍了有关变分法的一些基本知识,包括Sobolev空间,—△算子,弱解,极小化序列方法和一些极小极大定理,在第三章中我们介绍了非线性项有界或满足次线性条件,以及它满足推广的Ahmad-Lazer-Paul条件时,二阶Hamiltonian系统和半线性椭圆问题的研究历程,最后在第四章中我们证明了本论文的主要定理,并把它应用到第三章的问题中,使得前面的几种共振的情形都可以统一到这个抽象的结果中。
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Flocculation+0.45μm filter is selected as the pretreatment of the method proposed here.(9) A set of standard methods for ASMs COD characterization is suggested in the thesis and it advantages are:①Respirometry is adopted to measure RBCOD and SBCOD;②SI is determined from raw wastewater and so there is no influence of inert products;③Heterotrophic biomass in wastewater is measured;④The key instrument used in the standard methods-hybrid respirometer, has high automatic level and friendly user interface which simplifies the respirometry. So the suggested standard methods are practical.(10) According to the suggested standard methods, the influent COD of a wastewater treatment plant in Chongqing, China, is characterized.
9提出一套表征城市污水COD组分的标准化方法建议,其特点在于:①以呼吸测量作为RBCOD和SBCOD的测量方法,与以往以物理化学方法为主的做法有着本质区别;②对原水直接进行分析测试来获得SI组分,不受溶解性惰性产物的干扰;③考虑了污水中活性异养微生物组分的单独测量;④所依赖的核心仪器-呼吸测量仪具有很高的自动化程度和简单友好的用户界面,使原本复杂的呼吸测量实验及其结果的分析统计简单化,所建议的标准化方法具有很好的实用性。
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Many methods, including difference methods,collocation methods and standard finite element methods for singular parabolic equations have been proposed and analyzed ,and some good results have been obtained.
但利用非标准有限元方法,对奇异微分方程进行研究的文章迄今很少见到。时空有限元法将时间和空间两个变量统一起来,在时间和空间两个方向上同时发挥有限元的优势,实现时间和空间两个方向的高精度。
- 推荐网络例句
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Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.
在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。
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In fact,I've got him on the satellite mobile right now.
实际上 我们已接通卫星可视电话了
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The enrich the peopling of Deng Xiaoping of century great person thought, it is the main component in system of theory of Deng Xiaoping economy, it is a when our country economy builds basic task important facet.
世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。