查询词典 first approximation

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时，该快速算法求出线性方程组的唯一解；当鳞状因子循环矩阵奇异时，该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

Thereare two contributions in this paper. First, by regarding every base clustering as one attribute of the original data, it has found that the algorithm based on that is more extendable and flexible. Second, it designs a latent variable cluster ensemble model in this way and infers the algorithm of the model with Markov chain Monte Carlo approximation.

主要工作包括：第一，分析了把每一个基聚类器看成是原数据的一个属性这种处理方式的优越性，发现按此方法建立起来的聚类集成算法就具有良好的扩展性和灵活性；第二，在此基础之上，建立了latent variable cluster ensemble概率模型进行聚类集成，并且给出了LVCE 模型的Markovchain Monte Carlo算法。

Research emphasis is put on thefollowing aspects:First,study of multiwavelet basis(e.g.periodic vector,interpolation vector,multi-dimensional vector)suitable for different practical demands.Second,from perspective of operatorapproximation order,study of normal function approximation operator,contrast and comparison ofwavelet operator and multiwavelet operator and their respective applicable fields.And further,onbasis of the above,exploration of approaches of multiwavelet analysis application in function spacetheoretical research,and higher-lever,more convenient approaches for multi-function spaceapproximation theoretical research.Third,by fully employing unique features of multiwavelet,research action of multiwavelet analysis in the construction of L〓space non-conditionalbasis.Fourth,research such as transient signal analysis,image edge extraction,datacompression,fractal signal analysis.

其一，研究适宜于不同实际问题需要的向量小波基（如周期向量小波、插值向量小波、高维向量小波等）；其二，从算子逼近阶的角度研究一般函数逼近算子、小波算子和向量小波算子的异同点以及较优适用领域；在此基础上，探索将向量小波分析应用于函数空间理论研究的途径，寻找更高层次、更便捷地研究多元函数空间逼近理论的方法；其三，充分利用向量小波所独具的完美性质，探索在〓空间〓无条件基的构造中，向量小波分析的价值；其四，对向量小波适用的信号瞬态分析、图像边缘分析、数据压缩保真、分形信号分析等领域应给予特别的重视。

First, an overview of discrete and continuous approximation models of the distribution network designing is present, as well as the models' strong points, shortcomings and their complement relationships.

对分销网络设计的离散模型和连续近似模型进行比较，指出两者的优缺点及它们之间的互补关系。

At first we introduce all kinds of TS model and their characteristic of approximation to arbitrary continuous function, which allows TS model approximate any physical nonlinear system within arbitrary accuracy.

首先介绍了各种形式的TS模型以及它们对任意连续函数的逼近特性，其逼近特性决定了其能以任意精度近似任意实际非线性系统。

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容：首次将Pade逼近运用到三维频域有限差分法中，详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

First, an approximation solution is obtained by an incomplete algorithm, as an initial input of the complete algorithm, which is used to phase decision of branched variable.

首先利用局部搜索算法快速地得到一个近似解，并将该近似解作为完全算法的初始输入，用于其中分支变量的相位决策。

The first section is to introduce some corresponding basic definiens and properties on the fractional calculous. The rest of the chapter is to present solving methods for the approximation solutions of the nonlinear fractional differential equations and their application.

首先介绍了本章涉及到的分数微积分的定义及其性质，然后介绍了非线性分数阶微分方程近似求解的方法及其应用。

ADAMS. According to a function with STEP5 has features of continuous first and second derivative,the higher degree of approximation,etc.,we test and verify feasibility of fore-and-aft movement and turning gait of the robot. Thus a solution of the Snake-like robot motion under the ADAM...

ADAMS软件对蛇形机器人进行了从样机模型建立到运动学仿真与分析等一系列研究；并根据STEP5函数具有一阶与二阶导数连续、较高的逼近程度等特性验证了蛇形机器人前后移动和左右转弯步态可行性；找到了一种在ADAMS环境下求解机器人运动的方法，简化了理论计算，提高了设计效率。

At first, preprocessing with the image pyramid and diffusion-filtering technology; then abstracting the boundary-outline information; carrying on the logarithmic coordinate transformation of the abstracted boundary-outline information to get bar chart of the logarithmic coordinate; calculating the value of Cs to get all the phase match points; calculating the value of the degree of approximation to judge the shape matching.

本发明涉及一种基于Shape Context的人脸形状匹配方法，首先采用图像金字塔及扩散滤波技术进行预处理；再利用Canny边缘检测算法和轮廓提取算法提取边界轮廓信息；对提取的边界信息进行对数极坐标变换，得到对数极坐标直方图；通过计算Cs值，获得所有相匹配点；计算相近似度值，进行形状匹配判断。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。