A vector inner product space defined by covariance is introduced in the above study, which greatly ease the theoretical analyst of principle and performance of image fusion methods.
在这一过程中引入了一种以协方差定义的图像向量内积空间，极大的简化了对融合原理和融合性能的分析。
Geometry now is, in large part, the study of structures on manifolds that have a geometric meaning, in the sense of the principle of covariance that lies at the root of general relativity theory in theoretical physics.
现在是几何，在很大程度上是结构的研究流形上具有几何意义，在意义上的原则协在于从根本上广义相对论理论在理论物理。
According to the principle of relativistic covariance, this paper presents the relativistic covariant equation of current density.
介绍这一系统的原理、构造及操作。从相对论协变性原理出发，得到了电流密度方程满足相对论协变性的自洽展开式。
The principle of linear prediction analysis of speech signal is introduced, the autocorrelation method, the Burg method, the covariance method which are used to solve the normal equation are analyzed in detail, then a comparison of the three methods are given.
介绍语音信号的线性预测分析原理，并详细分析用来求解线性预测正则方程的自相关法、Burg法、协方差法的原理和计算方法，并对算法进行了比较。
In this paper, the covariance control theory of linear stochastic systems is applied to analyse the properties of nonlinear stochastic control systems, thus the application range of covariance control principle is extended.
本文研究用线性随机系统的协方差控制理论分析非线性随机控制系统的性能，拓宽了协方差控制理论的应用范围。
Based on the principle of the linear representation of the M-estimate, this paper derives the linear representation and nuisances of M-estimate for Heteroscedastic observations and the asymptotic variance-covariance matrix of the observations and the estimator of the unknown parameters;
本文根据M估计的线性表达式原理，导出了不同类观测M估计的线性表达式、多余参数以及观测量和参数估计量的方差协方差矩阵；
Vector optimization problems arise, for example, in functional analysis (the Hahn-Banach theorem, the lemma of Bishop-Phelps, Ekeland`s variational principle), multi-objective programming, multi-criteria decision making, statistics (Bayes solutions, theory of tests, minimal covariance matrices), approximation theory (location theory, simultaneous approximation, solution of boundary value problems) and cooperative game theory (cooperative n player differential games and, as a special case, optimal control problems).
例如，向最优化问题出现在泛函分析（ Hahn-Banach 定理，Bishop-Phelps 引理，Ekeland 变分原理），多目标规划，多准则决策，统计学（贝叶斯解，检验理论，极小协方差矩阵），逼近论（定位理论，联合逼近，边值问题的解）和合作对策理论（合作的 n 个选手微分对策以及作为特例的最优控制问题）。
According to the basic principle of relativity, this paper proves the Lorentz covariance of the basic equations of electrodynamics with advanced mathematics method, and avoids the troublesome operation of four-dimensional tensor.
根据相对论的基本原理，回避了繁难的四维张量运算，利用高等数学工具来论证电动力学基本方程的洛伦兹协变性。
Based on variational principle for mean value and covariance function of displacement, a finite element method for statically determined bending beam with stochastic rigidity was setted up.
以位移的均值和协方差函数的变分原理为基础，根据基本方程推导出具有随机刚度的静定弯曲梁的有限元法。
Then, in support of his covariance principle, Einstein [2] remarked, It should be noted that this result, also, of the theory is not influenced by our arbitrary choice of a system of coordinates.
于是作为支持他的协度变原理，爱氏评论道：请注意这结果，而且这理论是不受任意选择坐标系统所影响的。
Conclusion: carry out the principle component analysis of human population genetic structure, one should calculate the PC using averaged covariance matrix rather than the standardized correlation matrix.
结论：在对群体遗传结构进行主成分分析时，应使用中心化（或均值化）变换消除基因频率矩阵中量级的影响，然后在用其协方差阵提取主成分。
Objective: To explore the applicability and rationale of principle component analysis based on the averaged covariance matrix for analyzing human populational genetic structure.
目的：探讨基因频率矩阵的中心化（或均值化）协方差阵主成分分析方法在人类群体遗传结构研究中的适用性和合理性。
It discusses theory of relativity featuring the characteristics of time and space, the principles of equivalence and general covariance in general relativity, gravitational field equations, the principle of relativity, time dilation, contraction of length, and gravitational waves in gravitational field.
对相对论中的时间和空间特性进行了探讨，分析了广义相对论中的等效原理和广义协变原理，讨论了爱因斯坦引力场方程，研究了相对性原理、引力场中的时间膨胀、长度收缩和引力波。