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GA is used to obtain coefficients of cubic spline function fitting to avoid the inverse of the matrix and some work is made with an example.

文中将GA用于三次样条函数拟合的系数求解,避开了矩阵求逆的繁琐问题,结合具体例子作了一些探索。

With thw cubic B spline function treated as displacements, the spline element stiffness matrix is established based on the principle of minimum potential energy.

用3次B样条函数来构造结构的位移模式,基于最小势能原理导出了桥梁结构的样条单元刚度矩阵。

In order to improve the operation of the plant equipment and the reliability of economy, the paper thermal economic evaluation of the study, in a cycle function on the basis of the theory of the matrix model based on the thermal analysis method the use of mathematical software MATLAB the corresponding generic calculation procedure, and use VB establishment of display interface Calculation of the power plant thermal system hot economy.

为了提高电厂设备的运行经济性以及可靠性,本文以热经济性评价为研究课题,在以循环函数法为理论基础上提出了基于矩阵模式的热力系统分析方法,利用数学软件MATLAB编制了相应的通用性计算程序,利用VB编制了显示界面,计算电厂热力系统的热经济性。

We construct a family of iterative mappings, which yield cyclic windows of variant size in the dynamical plane by incorporating cosine functions and non-linear angle variables with parameters. Chaotic attractors and filled-in Julia sets in the different cyclic windows are created by establishing the coordinates of any cyclic windows and the maximal window, then clarifying the relationship of corresponding points between these cyclic windows. The respective images in different windows are continuous but with individual structures.

该算法采用余弦函数及含参的非线性角度变量构造一族使动力平面上各周期窗口的尺度变化的迭代映射;通过计算任意周期窗口和最大周期窗口得出窗口间相应点之间的非线性对应关系,并构造出各周期窗口中的混沌吸引子和充满Julia集,其图案是连续的且结构不同的;选用不同的周期窗口作为基本计算区域,使之与正方形像素矩阵对应,并构造出基本图元,实现了用一个映射构造出多个平面排列图案的算法。

The fourth chapter gives the concrete numerical calculation method of surface Green\'s function and density matrix.

第4章给出了具体的表面格林函数和密度矩阵的数值计算方法。

To compare with former works, it has following characters: 1. On the first time, theoretically analyze the principal and aspect of the depolarizer, which is an important component of D-IFOG.

与前人的工作相比,本文的特点在于: 1,首次利用Jones矩阵理论系统地研究了作为消偏干涉型光纤陀螺的关键器件的光纤消偏器的工作原理及工作特性,推导出偏振度与各有关参数之间的函数关系,明确了各参数在偏振度中所占的比重,首次设计出制作这一器件的实验系统,并制作出偏振度为1.0%的光纤消偏器。

Based on hexahedra vector finite element in ANSYS,a new orthogonal-reinforced hexahedra vector element is created by modifying vector basis functions.Due to orthogonality of sampling nodes and orthogonality of integral simultaneously,the new vector element can strengthen diagonal elements' predominance and quicken speed of solving system question group.

在ANSYS采用的六面体矢量单元的基础上,对矢量基函数作了一些增强正交性的修改,使其同时具备采样点正交性和积分正交性,得到了一种新的正交增强六面体矢量单元;这种新单元能增强系统矩阵的对角占优特性,加快系统方程组的求解速度。

With the aids of the angular momentum coupling theory, the diagonal sum rule and the irreducible tensor theory, a formulism for calculating the matrix elements of Boron-like atoms' non-relativistic Hamilton between the Racah wave functions have been derived. Based on this approach, the non-relativistic energies of Boron-like atoms in the ground and the first excited states have been obtained.

本论文借助角动量耦合理论、对角和法则和不可约张量理论,导出了类硼离子基态和第一激发态非相对论性哈密顿在拉卡基函数之间的矩阵元的表达式,给出了计算类硼离子基态和第一激发态非相对论性能量的方法,并应用此法计算了类硼离子基态和第一激发态非相对论性能量。

A new cost function based on the diagonalization of correlation matrices is proposed to measure the independency of output signals.

提出了一种新的基于相关矩阵对角化的代价函数作为衡量输出信号独立性的测度。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习,内容包括线性代数,矩阵运算,特徵值问题,向量的微分与积分,一阶线性微分方程组,傅力叶级数和正交函数,傅力叶转换,并将对椭圆,抛物线,双曲线型式的偏微分方程式作概略介绍。

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