提出一种利用求传递闭包来构造直觉模糊等价矩阵的方法，证明了直觉模糊相似矩阵定理及传递闭包定理。
An approach to formation of IF equivalent matrixes by finding the transitive closure is presented with the proof of theorems of transitive closure and resembling matrix.
摘要给出了线性代数中几个定理的矩阵证法。
Matrix proofs of several theorems in linear algebra are given.
由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
最后，研究了直觉模糊相似关系，证明了直觉模糊相似矩阵的一个定理。
Finally, intuitionistic fuzzy relations are investigated with the proof of a theorem on intuitionistic fuzzy similar matrix.
本文研究了离散型随机变量次序统计量的分布矩阵的对称性，获得了二个定理。
In this paper, we study the symmetry on distribution matrix of order statistic of discrete type random variable. Therefore, we obtain two theorems.
本文在复数域上证明了哈密尔顿-凯莱定理，并给出方阵A的特征多项式的全部矩阵根。
The paper proved the Hamilton-Cayley theorem in complex number space, and indicated the all matrix root of the sign multinomial of matrix A.
本文给出关于G -盟的一些基本结构定理，并在G -盟类中给出矩阵g -盟的一个特征。
This paper gives the basic theorems of homomorphisms for G-unions and a characterization of the G-union of matrices within G-unions.
本文使用超维里定理与升降算符方法，导出了氢原子跃迁矩阵元与平均值计算的一些递推关系式。
Some recursive relations were derived for the radial matrix elements of Hydrogenic Atom using hypervirial Theorem and ladder operators.
给出了对称对角A-因子循环分块矩阵的概念，讨论了它的一些性质，推广了几个主要定理．。
A concept of symmetric diagonal A-factor block circulant matrices and some of their prop- crtics are given, the main theorems are extended.
特勒根定理2是电路理论中的重要定理。本文用矩阵方法分析其共轭性，最后给出特勒根定理完整的矩阵表述。
Tellegen's theorem 2 is important in circuit theory. This paper analyzes its conjugation with matrix method and represents the complete matrix formulation of Tellegen's theorem.
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.
近似同步法还提供了一个用基于系统辨识的矩阵反演定理导出的误差校正公式，它能消除近似同步采样造成的原始误差。
ASM also provides an error correction formula deduced from matrix inversion theorem to clear up the error originated from approximate synchronous sampling.
本文研究了离散型随机变量次序统计量的分布矩阵的对称性，获得了二个定理。
In this paper, we study the symmetry on distribution matrix of order statistic of discrete type random variable.
借助矩阵的合同变换法，给出了化实二次型为标准形的方法、求标准正交基的方法，并给出了正定二次型判定定理的新证明。
By means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.
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.
根据这些定理，给出了基于MVD模式矩阵的多值依赖最小覆盖算法。
Based on these theorems, gives the minimum cover algorithm of the multivalued dependency based on the MVD schema matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
提出了数组运算与矩阵运算之间的关系定理，利用该定理给出了计算矩的一种递推算法；
A theorem of relation between quadrate and matrix operation is proposed; an iterating algorithm is then given based on the theorem.
本文分别将华氏自伴矩阵几何与对称矩阵几何基本定理推广到无限维的情形。
We extend Hua′s fundamental theorems of the geometry of self-adjoint matrices and symmetric matrices to the infinite-dimensional case.
它使用了对称矩阵特征根的包含原理和分隔定理，并利用了正矩阵特征根的性质。
By using the contain theory and partition theorem of symmetric matrix, three conjectures about YANG Hui matrix are cetified.
引进了拟块有向边覆盖对角占优矩阵概念，给出了新的矩阵非奇异判定定理和特征值分布定理。
We introduced the concept of block directed edge cover diagonal quasi dominant matrix, obtained a new nonsingularity criteria for matrices and distribution theorem on eigenvalues of matrix.
本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。
A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.
利用矩阵的秩给出一元多项式整除性的判定定理，同时给出商式的简便求法。
This text that make use of the order of matrix gives outs the unitary polynomials divide exactly theorem of judgment; And give a simple and convenient method about quotients type at the same time.
进一步给出了属性约简的判定定理和相应的可辩识属性矩阵，从而为概念格中协调决策形式背景属性约简提供了一种具体的方法。
In addition, we propose theory of knowledge reduction based on consistent decision formal context and give the judgement theorems and discernibility matrices, from which methods of attribute …
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;
给出了相似粗糙集的基本定义，以及利用该方法基于差别矩阵进行特征权值计算 的两个定理。
The definitions of SRS and two theorems of computing the feature weights based on discernibility matrix are presented.
研究特征多项式的降阶定理以及它在高阶矩阵方面的应用。
This paper introduces the reduced order theory of characteristic polynomial and its application in the higher order matrix aspects are presented.
作为本文的主要结果，关于交换环上矩阵的正点定理，零点定理和非负点定理被建立。
As the main results, it gives a Positivstellensatz, a Nullstellensatz and a Nichtnegativstellensatz for matrices over a commutative ring.
本文首先给出一个称为“通解矩阵”的新定义，然后证明两个有关定理。
In this paper first a new definition called "general solution matrix" is given, then two theorems are proved.
本文首先给出一个称为“通解矩阵”的新定义，然后证明两个有关定理。
In this paper first a new definition called "general solution matrix" is given, then two theorems are proved.
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