查询词典 mathematical approximation

According to the robust control H2 optimal performance specification, the practically desired diagonal elements of the system transfer matrix are suggested, and in view of the coupling action existing between the two closed loops, dynamic detuning factors are introduced to design the optimal double-loop controllers, and their executable PI/PID forms are derived using a mathematical rational approximation approach.

根据鲁棒控制H2最优性能指标，提出实际期望实现的系统传函矩阵中的对角元。考虑到两个闭环之间的耦合作用，引入动态解调因子设计最优双回路控制器，采用数学有理逼近的方法得到其实际可执行的PI/PID形式。

The technique gives analytical formulae for the noise performance of inductively degenerated CMOS low noise amplifier circuits with an ideal gate inductor for a fixed bias voltage and nonideal gate inductor for a fixed power dissipation, respectively, by mathematical analysis and reasonable approximation methods.

针对定偏置电压下理想栅电感和定功耗下的非理想栅电感两种情形，利用数学分析和合理的近似方法分别进行了详细的讨论，给出了简洁而有效的分析设计公式。

At first, an approximated mathematical model is presented. Then, the system manager can compute the optimal control policy via the method of successive approximation. Based on the above-mentioned algorithm, we design an intelligent system with feedback control to regulate the allocation of limited channels of trunk circuit. This system will continuously detect the status of whole cellular network. Once the system parameters cross the predefined threshold, the recomputing mechanism will be activated.

首先针对系统的近似数学模型先將其定义出来，然后就可以用连续逼近法將最佳控管决策计算出来，这样的最佳决策演算法我们把它设计在一个有迴授机制的智慧型决策系统裹，此决策系统將不断地侦测行动通讯网路运作的情形，一旦网路参数变化超过某个预定的临界值时，整个最佳决策演算法將被启动，系统的近似数学模型將依新的参数重新定义，接下来同样地写出最佳方程式並用连续逼近法计算出新的最佳控管决策。

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换，分别得到其正常水深与临界水深的牛顿迭代公式，同时，通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算，利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式，并以此近似计算式为初值，用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

The spread paths of common mode and differential mode noises in an SMPS under electrical fast transient/burst are studied and discussed. Hereby for single transient pulse, the vector fitting method is adopted combining rational function approximation according to the tested waveform to construct the a mathematical modeling of frequency, then a pole-residue representation is obtained by partial fraction expansion, and the last step are to draw a state space description and equivalent circuit.

在分析开关电源进行电快速瞬变脉冲群骚扰试验时共模和差模噪声的传播途径的基础上，对于单个脉冲，根据试验数据采用矢量匹配法结合有理函数逼近构造得到频域下的数学模型，通过部分分式展开得到零极点表达式，并最终得到相应的状态空间方程以及等效电路。

At the early 1980s, is an effective mathematic tool to deal with the uncertain or fuzzy knowledge. Rough rule theory has been widely used in information retrieval, digital library, software engineering and knowledge discovery. Its main idea includes acquisition of rough decision rules by reduction of data under the condition of keeping an invariability of classification capacity. And it basically represents a concept by a pair of approximation sets according to the partition on the given data based on the indiscernibility relation. Rough sets theory is well suited to deal with inconsistency of the rough approximations. So it is a new mathematical tool dealing with vagueness and uncertainty, and has found its applications in many areas such as AI, KDD, pattern recognition and classification and fault diagnosis.

主要完成了以下几个方面的工作：(1)对于高速移动机器人车道线跟踪问题中的规则知识获取，首先阐述了模糊逻辑系统的基本特点、工作原理和基本作法，分析了模糊规则知识获取过于依赖专家经验知识、对于每一个细节几乎都需要人工主观经验的参与、难以处理大数据集样本等方面的不足，进而阐述了粗糙集合理论的基本特点、基于粗糙集合理论的规则获取的关键技术和工作原理，为后续章节中经典粗糙集合模型的扩展及粗糙决策规则集的性能分析做好基础；(2)在经典粗糙集理论及其一般扩展的可变精度粗糙集VPRS的基础上，提出了非均匀可变精度粗糙集模型k-VPRS。

In this paper, mathematical model of optimal operation of natural gas gathering and distributing pipeline network system was formed according to analyzing influencing factors on this system, and linear approximation method and complex method were adopted to resolve it.

通过分析影响天然气输配气管网系统运行的各种因素，建立了天然气输配气管网系统运行优化数学模型，并分别采用线性逼近法和复合形法进行模型求解。

Vector is the new high school textbooks and the new one of the important contents, it is rich in physical background, it is the object of study algebra, and geometry is the object of study is set,"the number of Form" in a mathematical concept of an abstract algebra, linear algebra and functional analysis of the basic mathematical model.

向量是高中新教材中新增加的重要内容之一，它有着丰富的物理背景，它既是代数研究的对象，又是几何研究的对象，是集"数、形"于一身的数学概念，是抽象代数、线性代数、泛函分析中的基本数学模型。

Then, theoretically, mathematical morphology is stretched from complete lattices to complete semi-lattices and the adjunction of complete semi-lattices is studied. Some qualities of mathematical morphology on complete semi-lattices are discussed and supported. Two examples of difference semi-lattice and reference semi-lattices are also supplied.

然后在理论上，把数学形态学从完备格延伸到完备半格，研究了完备半格上的伴随，讨论并证明了完备半格上数学形态学的一些性质，列出了差分半格和参考半格两个例子。

The mathematical model of air cylinder and high-speed switch valve is built and also the pneumatic driving system mathematical model is given.

第三，设计了利用研华工控机和其功能板卡的集中控制硬件系统。

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。

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