查询词典 mathematical approximation

Taylor Formula is a very important content of mathematical analysis, it can intensively embody the soul of "approximation" of calculus, and it is extensively applied in the theoretical analysis and practical application.

泰勒公式是数学分析中的重要内容，集中体现了微积分中"逼近法"的思想，在理论分析和实际应用中经常涉及。

It is the aim of this book to present various basic and important results of vector optimization in an abstract mathematical setting and to demonstrate its usefulness in vector approximation and cooperative differential game theory.

本书的目的是在抽象数学柜架下给出向量优化的各种基本和重要结果并阐述它们在向量逼近和合作微分对策理论中的应用。

Experimental synchronous rotor internal mixer and two kinds of 55L synchronous rotor internal mixer, consulted a number of published articles at home and abroad, then, for the first time, formed four kinds of physical model and the corresponding mathematical model which related to the mixed stock between the mixing chamber side and the top of the rotor wing, to the mixed stock between the two rotors and to the mixed stock at the various temperatures of the mixing chamber. And from the character of model, the author gave the relevant analytic solutions and finite element approximation arithmetic solutions during the experimental process of the synchronous rotor internal mixer.

因此，本文作者在XM—1.7实验用同步转子密炼机和两种50L同步转子密炼机上进行了大量的实验，并参阅国内外已发表的文献和资料，首次建立了同步转子密炼机混炼过程中，胶料在转子棱峰与密炼室壁之间、胶料在两同步转子之间和密炼室中混炼胶温度变化的四种物理模型及其相应的数学模型，并根据所建模型的特点，分别给出了相应的解析解或有限元数值解。

In modeling the controlled plant, the mathematical model is at best the approximation to the actual system.

在建立受控系统数学模型，再怎麼精确的鉴别一个系统，我们所得到的也仅是一个"近似"於实际系统的数学模型。

In the mathematical equations to solve non-cooperative multi-dimensional nonlinear numerical approximation method is best for limited cooperation in the interests of the game in search of a new equilibrium.

在数学上解决多维非线性不合作方程组的最佳数值逼近方法就是争取有限合作，在博弈中寻求新的利益平衡点。

The book is divided into 14 chapters, including Introduction, continuous control system theory, process and discrete sampling, Z transform, sampled-data systems, discrete approximation of continuous system the equivalent, based on mathematical transform the classical design method, based on state space pole placement design methodology, multi-variable system of quadratic optimal control, quantitative effects, the choice of sampling period, the digital control system modeling, digital control system for a variety of design methods, variables quadratic optimal control systems, sampling cycle of selection, non-linear control of the problem, as well as digital control system, a typical application - Disk drive servo control design.

全书共分14章，内容包括概论、连续控制系统理论、采样过程和离散化、Z变换、采样数据系统、连续系统的近似离散等效、基于数学变换的经典设计方法、基于状态空间的极点配置设计方法、多变量系统的二次型最优控制、量化效应、采样周期的选择、数字控制系统的建模问题、数字控制系统的各种设计方法、变量系统的二次型最优控制、采样周期的选择、非线性控制的有关问题，以及数字控制系统的一个典型应用——磁盘驱动器的伺服控制设计等。

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。

The post-condition may say that the result returned by the routine is the approximation, within a specified precision, of the exact mathematical square root of the routine.

后置条件则可以这样表述：例程返回在数学上指定的精度内最接近的平方根。

We establish mathematical models of optimal operation schema, and to solve them by feasible direction method and linear approximation.

在管网布局的基础上，以管网投资净现值为目标，建立了管网结构参数优化模型，并充分考虑了输气量、管径、输气压力、管长、增压比、压缩机数目之间的关系，采用混合变量优化方法进行求解。

Using Chebyshev approximation method,we designed a FIRlowpass differentiator suit for airborne gravimetry application,and simulate a mathematical model to test the reliability of this filter.

根据契比雪夫逼近理论，设计了适用于航空重力测量应用的有限冲激响应低通差分器，利用模拟模型对滤波器的性能进行了验证。

There had been a moment during the breakfast meeting, though, after the backslapping and the small talk and when all of us were seated, with Vice President Cheney eating his eggs Benedict impassively and Karl Rove at the far end of the table discreetly checking his BlackBerry, that I witnessed a different side of the man.

那次早餐会期间，在表示过关心和寒暄以后，我们所有人坐了下来，我注意观察了一下，副总统切尼面无表情地吃着班尼迪克蛋（Eggs benedict，源自美国，以英式松饼、火腿、水煮蛋以及荷兰酱组合而成），卡尔。罗夫在餐桌的远端谨慎地经常查看他的黑莓手机，我目睹了他所不为人知的一面。

Talk Undelete failed; someone else may have undeleted the page first.

Talk 无法删除选定的页面或图像（它可能已经被其他人删除了）。