查询词典 prime factorization

By using the Cholesky factorization and inverse method for unit lower triangular matrix, the multi-sensor measurements with correlated measurement noises are transformed to equivalent pseudo ones with uncorrelated measurement noises; then based on the Kalman filtering, a new multi-sensor fusion target tracking algorithm with correlated measurement noises is proposed.

对于量测噪声相关的多传感器量测，利用Cholesky分解和单位下三角阵的求逆方法，将其转化为量测噪声互不相关的等价的多传感器伪量测，然后基于Kalman滤波，提出了一种解决量测噪声相关情况下多传感器融合目标跟踪问题的新算法。

Based on the property of OPF problem, construct appropriate linear programming model to avoid dimension expended, apply sparsity technique and construct the same triangle factorization matrix of IP method to reduce the calculation burden.

本文从众多文献的研究中获得解决以下问题的方案：如何从内点算法中判断基变量；如何从内点法中得到与单纯形表相同的信息以及如何根据内点法的乘子变量形成割平面。

Based on ear recognition, an improved NMFSC(Nonnegative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

Based on ear recognition, an improved NMFSC (Non-negative Matrix Factorization with Sparseness Constraints) method was proposed by imposing an additional constraint on the objective function of NMFSC, which could capture the semantic relations of coefficient matrix as orthogonal as possible. The interated rules to solve the objective function with the constraint were presented, and its convergence was proved.

针对人耳识别问题，提出了一种改进的稀疏性受限的非负矩阵因子方法，通过增加一个使系数矩阵尽可能正交的约束条件来定义原目标函数，给出求解该目标函数的迭代规则，并证明迭代规则的收敛性。

Then we apply it to a C-module V, where V is a n-dimensional vector space and the operator from C×V to V is defined by a linear transformation T of V, then we get a unique factorization of V and a right basis under which the transformation matrix of T is T's Jordan canonical form.

然后把它应用到一个具体的C-模V，其中V是n维线性空间，C×V到V的映射由V中的一个线性变换T定义，从而得到V的一个唯一分解，再结合线性代数有关知识给出V的一组基，T在这组基下的变换矩阵恰为T的Jordan标准形。

It only takes quadratic bit complexity for the cryptosystem to perform an encryption/decryption operation.(6) A public-key cryptosystem is proposed by using a special combinatorial problem defined over the matrix ring. The security of the scheme is related to but not directly dependent upon the integer factorization problem.

6使用矩阵环上的一个特殊的组合问题构造了一个公钥加密算法，其安全性与整数分解问题有关，但并不直接依赖于整数分解问题，而是依赖于一类特殊的矩阵组合问题。

In chapter 4, the factorization and cascade decomposition for first order singular systems have been discussed, the if and only if conditions have been obtained, the invariaty of minimality under factoiization and cascade decomposition has been proved.

第四章，讨论了一阶奇异系统的因子分解和级联分解，给出了其具有上述分解的充要条件，证明了极小性在分解下的不变性；对具有一阶奇异系统实现的有理函数矩阵，给出了判定其为正实函数的充要条件，推广了著名的正实引理。

The second section studies general Moore-Penrose inverse of morphism with general factorization, and gives some necessary and sufficient conditions for their existence and expression.

第二部分我们研究了具有广义分解的态射的广义Moore-Penrose逆，得到了他们存在的充分和必要条件以及他们的表达式。

The third section studies general Moore-Penrose inverse of the powers of a morphism with general factorization, and obtains some useful properties.

第三部分我们研究了具有广义分解的态射幂的广义Moore-Penrose逆，得到了一些有用的性质。

In other words,an affirmative answer are given for the question on the set of factorization indicesof completely positive realizations of a graph raised by N.

关于完全正矩阵：本文给出圈的双非负实现为完全正的一个充要条件，并确定其非负分解指数和非负分解；证明完全正图的非负分解指数集没有缺数，换句话说，给出了关于图的完全正矩阵实现的非负分解指数集的N。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。