在本文中，也指出了QR分解定理和QL分解定理的应用。
In this paper, the applications of the QR decomposition theorem and the QL decomposition theorem are also pointed out.
在此基础上，利用非负方阵的置换标准形证明了谱分解定理。
Based on this result, the spectral decomposition theorems are proved by using permutation canonical forms of nonnegative matrices.
给出了复变函数分解定理的简捷证明，并证明了分解的唯一性。
A simple and direct proof of decomposition theorem of complex functions has been provided, and Uniqueness of the decomposition has been proved.
从施密特正交化出发，得到了：（1）可逆矩阵的QR分解定理；
Two conclusions drawled by schmidt's orthogonalization:(1) The QR decomposition theorem of nonsingular matrix;
第四章通过对A连续映射的分解给出了对连续映射的几个分解定理。
In this chapter, we present some decomposition theorems of A-continuity and continuity.
方法在因子分解定理的基础上提出了一个判别指数型分布族的简单方法。
Methods A simple method for distinguishing of exponential distribution family is obtained based on factorization theorem.
利用区间数的分解和模糊分解定理，研究了一种结构模糊有限元平衡方程的求解方法。
Based on resolution of interval Numbers and fuzzy resolution theorem, we develop a method of solving the structural fuzzy finite element equilibrium equations.
定义了动态模糊集的运算，讨论了动态模糊集的基本性质，给出了动态摸糊集的分解定理。
The operations of the dynamic fuzzy sets are defined, the basic properties of the dynamic fuzzy sets are discussed, and the decomposition theorem of the dynamic fuzzy sets is given.
对应于矩阵反演公式及QR分解定理，加权最小二乘法(WRL S)存在两类不同的算法结构。
There are two kinds of algorithmic structures for the method of weighted recursive least squares (WRLS) corresponding to the matrix reversing (MR) formula or the QR decomposing theorem.
本文基于旋转矩阵单位四元数分解定理，提出一种由3D特征点空间位置估计运动参数的算法。
Based on the unit quaternion decomposition of rotation matrix, this paper puts forward an algorithm to estimate motion parameters from the space position vectors of 3d feature points.
提出了一个模型层次结构，并给出了在这个模型层次结构下系统安全的定义，获得安全的分解定理。
A model hierarchy is proposed, and system security under this model hierarchy is defined, and the unwinding theorem of system security is proved.
讨论灰色数学理论的一个基本问题，即灰色集合以及它的有关运算，灰集的分解定理、表现定理和扩张原理。
This paper discusses a principal problem in grey mathematical theory, that is grey set and its operation, and proves the decomposition theorem, representation theorem and extension principle.
作为应用之一，在合理定义了广义矢值测度后，得到了约当分解定理，并且这种广义矢值测度就是一个模糊数值测度。
As one of applications, the Jordan decomposition theorem of a properly defined signed vector-valued measure is obtained, and the signed vector-valued measure is just a fuzzy number-valued measure.
给出了负二项分布的分解定理，进一步研究了负二项分布的有关性质及参数的无偏一致估计，以及在流行病学该分布的生物学意义。
Then, we studied a few of properties of negative binomial distribution and the uniformly unbiased estimator of the parameter, and it's biological significances were explained in Epidemiology.
引入了IS -代数的既约理想和次极大理想的概念，讨论了它们的性质，并得到把每个理想分解为既约理想和次极大理想的几个分解定理。
The irreducible ideal and the submaximal ideal of ISalgebras are introduced, their properties are discussed and some decomposition theorems of ideals in ISalgebras are obtained.
李斐文章针对物理大地测量学反问题研究中的拟调和性重力场源及重调和性重力场源，将该研究中的理论核心――正交分解定理予以具体实现。
It is the first time to have the theorem of orthogonal decomposition, a theoretical kernel in inverse gravimetric problem, realized in practice.
在分析多个理论模型的基础上，采用贝叶斯定理证明了前提概率原则，并将此原则与人类心理过程相结合，将归纳推理分解为连续进行的三步过程。
After analyzing several theory models of inductive reasoning, we use the Bayes Theorem to prove the premise probability principle, and integrate this theory with human mental process.
思辨的阶段或肯定理性的阶段在对立的规定中认识到它们的统一，或在对立双方的分解和过渡中，认识到它们所包含的肯定。
The Speculative stage, or stage of Positive Reason, apprehends the unity of terms (propositions) in their opposition-the affirmative, which is involved in their disintegration and in their transition.
特别是对L模糊理想数的正规l模糊分解给出了第二个唯一性定理。
In particular, the second uniqueness theorem for normal L-fuzzy decompositions of the L-fuzzy ideals is given.
RSA公钥密码算法的基础是欧拉定理，它的安全性依赖于大素数因式分解的困难性。
RSA Public Cryptogram algorithm is based on Theorem of Euler, whose security depends on the difficulty about the factor decomposed of great number.
作者证明了右完全半群的结构分解唯一性定理。
The authors also proved the uniqueness theorem on structure decomposition of right complete semigroups.
最后，给出了广义模糊粗糙近似算子的分解与合成定理。
At last, we we prove the decomposition and synthetize theorems of general fuzzy rough approximation operator.
对一类非线性问题的空间分解算法证明了两个几何收敛性定理，改进了已有的结果。
Two geometrical convergence theorems of a space decomposition method for solving a kind of nonlinear problems have been proved, which are improvements of existing results.
给出了几个有界性定理，证明了鞅空间的简单原子分解。
Some boundedness theorems are given, and some simple atomic decompositions are also proved.
如此的分解，能使转动惯量平行轴定理或惯量积平行轴定理均极其便于表述。
Such a decomposition greatly facilitates the formulation of the theorem of parallel axes for the moments or for the products of inertia.
本文用分解真分式为最简分式的分解基本定理来确定最简分式分子里的常数。
This article defined constant in numerator of simplest fraction by the way of resolve proper fraction to simplest fraction.
本文提出并采用微分流形理论证明智能机器人体系结构可分解性定理。
In this paper, a decomposability theorem is presented and proved by differentiable manifolds theories.
就如何进行大系统空间模块的分解以满足建模的需要，作了理论上的探讨，给出了最优空间分解判定及性质定理证明。
In this paper, how to optimally divide a complicated system for serving the need of system modelling well is studied theoretically. We present the optimal dividing theory and its theorem proving.
就如何进行大系统空间模块的分解以满足建模的需要，作了理论上的探讨，给出了最优空间分解判定及性质定理证明。
In this paper, how to optimally divide a complicated system for serving the need of system modelling well is studied theoretically. We present the optimal dividing theory and its theorem proving.
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