线性代数

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

Deploying rock-solid numerics with world-class symbolics, Maple 9.5 offers full computing support for any activity involving mathematics.

Maple软件适用于解决微积分、解析几何、线性代数、微分方程、计算方法、概率统计等数学分支中的常见计算问题。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.

为此，本文采用一个半径很大的圆孔来代替半空间的直边界，将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题，借助于成熟的柱函数理论，通过写出问题波函数的一般形式解，利用问题的边界条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。

This method is the combination of Simulation results are presented that demonstrates the performance of the new methods and compare it with two recently developed methods: Cumulant Enhancement and the All Vector Orthogonal Subspace.

本文提出了一种新的线性代数方法—累计量增强全矢量正交子空间方法，用于非最小相位滑动平均模型的建模。

Elastic and inelastic differential and integral cross sections for low-energy vibrational excitation of H2 by electron impact are studied with exact exchange. The resulting coupled integrodifferential equations are solved using a combination of linear-algebraic and R-matrix-propagator techniques.

严格交换势用于研究低能电子与H2分子的弹性和非弹性散射截面，线性代数方法和R-矩阵传播子相结合求解基于振动密耦合方法的积分-微分耦合方程组，由此得到收敛的散射微分截面和积分截面。

As an example of the application of some knowledge of Linear Algebra,this paper discusses the application of an invertible matrix in secure communication,some basic problems of this application,and the solutions to these problems.

作为工科&线性代数&课中相关知识的一个具体应用的例子，从理论与实践相结合的角度论述了可逆矩阵在保密通信中的应用及其存在的问题与对策等。

Linear algebra was used to derive an analytical expression for its point unfalsified probability , for the necessary and sufficient condition of the model set being consistent with the frequency domain input-output data.

应用线性代数方法通过对模型集进行讨论，根据一个模型集与对象频域输入输出数据相一致的充要条件，建立了模型集点非伪概率的解析表达式。

Objective:To develop a linear algebra model to imitate the process of the allele homologizing within a closed inbreeding population.

目的：试建立线性代数模型，以拟合封闭近交群体内等位基因纯化的过程。

The gradual process of allele homologizing in a closed inbreeding population is imitated quantitatively by using linear algebra model.

线性代数模型定量地模拟了封闭近交群体内等位基因逐步纯化的过程，同时能客观分析不同自交代之间的生物数学特征及内在联系，根据模型还能由初始条件预报纯化基因型的频率。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐