In this paper,the inertial theorem of real symmetric matrix has been proved by three methods in three aspects: the relationship between real symmetric matrix and real quadratic form,the relationship between real symmetric matrix and symmetric bilinear function of real linear space.
从实对称矩阵与实二次型的联系、实对称矩阵与实线性空间的对称双线性函数的联系以及将实对称矩阵作为研究主体这三个角度,介绍实对称矩阵的惯性定理的三种证明,以期加深对实对称矩阵的惯性定理的理解。
In this paper, we use the theory of symmetric bilinear function to solve problems of quadratic form, and finally give a proof of the inertia theorem.
通过建立二次型与对称双线性函数之间的对应关系 ,在双线性函数的概念下讨论二次型化标准型的问题 ,最后给出惯性定理的一个证明。
Utilization symmetric bilinear function gave a good few sufficient conditions for transformation of Euclidean space to be linear.
利用对称双线性函数给出了向量空间的变换为线性变换的一系列充分条件，进而导出了欧氏空间的变换为正交变换、对称变换、反对称变换、共轭变换的一系列判别条件。
We have got the classification for all the n-dimensional Lie triple systems through the use of the standard form of the symmetric bilinear functions,i.
主要讨论了复数域上一类n维李三系的分类,设T是一个带有三元运算[x,y,z]=f(y,z)x-f(x,z)y的n维李三系,其中f是T上的对称双线性函数,利用对称双线性函数的标准型,得到所有此类n维李三系的分类,即可分为n+1类。
Quadratic Form and Symmetric Bilinear Function;
二次型和对称双线性函数的对应关系
Symmetrical Curve and Function Operation and Their Correlation;
对称的曲线和函数的求法及相关性质
Symmetry of plane curve is important to function research.
平面曲线的对称性对于函数研究具有重要意义。
Orthogonal Function Basis and Positive Definite Function Basis of Double Linear Function Space;
双线性函数空间的正交函数基与正定函数基
Portfolio Analysis with an Asymmetric Linear Risk Measure;
一个非对称线性风险函数与证券组合投资分析
One-to-one onto function is also called bijection.
一对一到上函数称为双映射。
non-degenerate symmetric bilinear form
非退化对称双线性型
Hyperbolic Function Series Method for Solving Nonlinear Wave Equations;
非线性波动方程的双曲函数级数解法
Devivation Algebra And Invariant Symmetric Bilinear Forms of Lie Triple System;
李三系的导子代数及不变对称双线性型
A Symmetric Mean about Weakly Logarithmically Convex Function;
一类关于弱对数性凸函数的对称平均
Symmetry of Sine and Cosine Function Graphs;
正弦函数图像及余弦函数图像的对称性
Multi-period Ambiguity Function Analysis of Symmetrical Triangle Linear Frequency Modulation Continuous Wave Signals
对称三角线性调频连续波雷达信号多周期模糊函数分析
Judgement and use of function symmetry and periodicity;
关于函数对称性、周期性的判定与应用
Schur-Convexity of Two Complementary Symmetric Functions
一对互补对称函数的Schur凸性
For the bar image segmented, bilinear transformation function is used to restore the bar image.
对分割出的图像,采用双线性变换函数来实现目标的校正。
The integral characters of binary symmetrical function in the symmetrical region;
对称区域上的二元对称函数的积分性质
The Properties of Rotation Symmetric Functions over GF(p)
素域GF(p)上旋转对称函数的性质
The graph of the antiderivative of the function is called the integral curve of.
函数的原函数的图形称为的积分曲线。