查询词典 squares

A new identification procedure for the nonlinear systems which can be described by Wiener-Hammerstein models is proposed by using correlation, multidimentional z transform, deconvolution and a simple least squares algorithm.

本文综合应用相关分析法、多维z变换、解卷积和最小二乘法提出了一种新的辨识具有维纳－哈默斯坦模型结构非线性系统的方法。

It is difficult to control a single inverted pendulum system because of the characteristics of multi-variable, nonlinear and absolutely instability of the system. A controller based on adaptative neuro-fuzzy inference system is designed by using Matlab/Simulink software in the paper. For the sampling data the hybrid algorithm of back propagation algorithm and least squares algorithm is applied in the paper. Thus the parameters of membership function are adjusted and all of the fuzzy rules are generated automatically.

摘 要：针对单级倒立摆系统具有多变量、非线性、绝对不稳定的特点，本文应用Matlab/Simulink 设计了用于倒立摆系统的基于自适应神经模糊推理系统的ANFIS控制器，采用反向传播算法和最小二乘算法的混合算法对倒立摆控制样本数据进行学习，调整各变量的隶属度函数，自动产生模糊规则。

In the second chapter, we present the traditional way of surface fitting ------LeastSquares. We present a kind of amendatory algorithm------Moving Least Squaresbased on Least Squares.

第二章介绍曲面拟合的传统方法——最小二乘法的理论，在此基础上，采用了一种改进的曲面拟合方法——移动最小二乘法。

Least-squares solution for the inverse problem of real matrices、symmetric matrices and bisymmetric matrices are studied in this thesis. The thesis includes the following contents.

本文研究了子阵约束下实矩阵、实对称矩阵和双对称矩阵反问题的最小二乘解，全文主要包括以下内容。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

The solutions of ProblemⅠ,ⅡandⅢare discussed by using the generalized conjugate gradient method. When the equation is consistent, the solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found; When the equation is inconsistent, the least-squares solutions such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are also found successfully. The generalized conjugate gradient method has the following traits:(1) It can judge automatically the information of solutions.

利用广义共轭梯度法，讨论了问题Ⅰ、Ⅱ和Ⅲ解的情况：当方程相容时，研究了方程的一般解、对称解、中心对称解、自反矩阵解、双对称解、对称次反对称解及其最佳逼近等问题；当方程不相容时，研究了方程的最小二乘一般解、最小二乘对称解、最小二乘中心对称解、最小二乘自反矩阵解、最小二乘双对称解、最小二乘对称次反对称解及其最佳逼近等问题。

All squares between the rook and king before the castling move are empty.

在王车易位时国王和车之间的所有方块必须是空的。

Model updating; modal parameter; centrosymmetric; iterative method; least squares problem; quadratic constraint

模型修正；模态参数；中心对称矩阵；迭代法；最小二乘问题；二次约束

Considering pencil of matrices with centrosymmetric could not satisfy characteristic equations in practice, it was necessary to study the centrosymmetric solution of the matrix equation least square problems, and to give pencil of matrices with centrosymmetric of the least squares problems in model updating.

对线性结构的有限元动力模型修正问题，通过灵敏度分析，确定要修正的参数，由正交性条件和特征方程得到相应的修正量方程。

As a case in this study, there is a non–representative PK duality model which adopts the least squares method or even the Monte Carlo method to estimate their parameters. Using yield frequency analysis to recommend fertilization, only a group of P and K coenobium, the sixth treatment, meets the conditions of goal yield.

对Monte Carlo法也不能得到典型式的晚稻磷钾非典型肥效模型，用产量频率分析法计算推荐施肥量，表明只有一组磷钾肥用量组合入选，导致磷肥推荐用量偏高而钾肥偏低。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。