查询词典 quadratic equation

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题，将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究，构造了一类由二次型构成的非线性有限自动机（3.6定义），称之为二次型有限自动机，我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论：采用线性R〓R〓变换方法，解决了此类有限自动机的弱可逆性判定、求弱逆问题（3.10、3.12定理）、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应，给出了产生全部可逆二次型有限自动机的方法。

The main characteristic of this kind of quadratic forms is their orthogonality depends on the linear dependency of the elements which produce them (2. 17 theorem), and this is the very reason we can establish the invertibility theory over quadratic finite automata by R〓R〓 transformation methods.

这类二次型的主要特点是它们的正交性由它们的生成元的线性相关性决定（2.17定理），这是可以用线性R〓R〓变换方法建立二次型有限自动机弱逆性理论的根本原因。

Summary: The concept of matrix and its determinant computing, matrix determinant, matrix sub-block with the elementary transformation, invertible matrix, rank of matrix; vector and its computation, the linear relationship between vector, vector group of rank; linear equations of the nature and structure of linear equations; matrix eigenvalue and eigenvector, similar to matrix and matrix diagonalization conditions, the standard quadratic form with the normal forms, quadratic and symmetric matrix There are qualitative.

内容提要：行列式矩阵的概念及其运算，方阵的行列式，矩阵的分块与初等变换，可逆矩阵，矩阵的秩；向量及其运算，向量间的线性关系，向量组的秩；线性方程组的性质与结构，线性方程组的求解；矩阵的特征值与特征向量，相似矩阵与矩阵可对角化条件，二次型的标准形与规范形，二次型和对称阵的有定性。

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

Quadratic phase coupling analysis is extended to complex domain in this chapter,〓-D spectrum method is adopted to obtain the coupling and coupled components separately by using different cumulant definitions of complex process. This property can be used to avoid confusion when multigroup quadratic phase coupling relationships are involved.

然后本章将二次相位耦合的研究拓展至复数域，通过改变复数信号三阶累积量的定义方式，分别在〓维谱中得到参加耦合的谐波分量和耦合产生的谐波分量，在同时存在多组耦合时，可以避免产生混淆。

Numerical results show that constant coagulation kernel has more influences on small particles than linear and quadratic coagulation kernel,whereas has less influences on big particles than linear and quadratic coagulation kernel;in the same wa...

发现常凝并核要比线性和二次方凝并核对小颗粒的影响大一些、对大颗粒的影响小一些，线性和二次方凝并核对颗粒尺度分布的时间演变影响则取决于具体情况；常冷凝核要比线性冷凝核对小颗粒的影响大一些、对大颗粒的影响小一些；连续区布朗凝并核类似于常凝并核；扩散冷凝核对颗粒尺度分布的影响界于常冷凝核和线性冷凝核之间。

The quadratic optimal control problem of delay discrete-time linear system is proposed with quadratic performance index. It is transformed intoanother problem by using the Principle of Optimality. The direct expressions of theoptimal control sequence and performance index sequence are given by mathematicalinduction.

针对给定的二次型性能指标，提出了时滞离散系统线性二次最优控制问题，并利用最优性原理将该问题进行了转化，进而利用数学归纳法推出最优有记忆饱和控制序列及最优性能指标序列的直观表达式。

The linear complementary algorithm of standard quadratic programming is introduced. The parametric quadratic programming algorithm of free design variables and its programming method are also discussed in detail.

文中还对标准二次规划的线性互补Lemke 算法进行简要的介绍，着重介绍自由设计变量的参数二次规划算法以及程序编制要点。

Properties of bi quadratic B spline surface are investigated by the subdivision approach, and the control mesh of bi quadratic B spline surface is constructed by employing Doo Sabin subdivision to derive the parametric representation of interpolation surface.

文中利用子分曲面理论研究双二次 B样条曲面的性质，在此基础上利用 Doo- Sabin子分模式构造插值顶点位置和法向的双二次 B样条曲面控制网格，得到插值曲面的参数表示。

Based on quadratic PEk method, quadratic EPEk method is advanced and itsconvergences are discussed by the conditions of the symmetric positive definite and thepositive-definable Matrix.

基于二次PE_k方法的基础之上，文章提出了二次PE_k方法的外推迭代一二次EPE_k方法，并讨论了其在对称正定和可正定化条件下的收敛性。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。