查询词典 unique factorization domain

An integral square performance criterion containing tracking error and control energy was defined. Spectral factorization to minimizing the performance index for different systems was applied and corresponding parameter tuning methods of PID controller was derived, which could be used to obtain optimal control performance under control energy constraint.

定义了一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同系统运用谱分解的方法最小化该性能指标，从而导出相应的PID控制器的参数整定方法，可使系统在控制能量约束条件下具有最优的控制性能。

Singular value decomposition and Least Squares QR factorization are two basic methods for a linear equation group in seismic tomography.

奇异值分解法和最小平方QR分解法是求解反演成像中线性方程组的两种基本解法。

An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration.

摘要该文提出了一种基于子空间线性迭代的射影重建方法，该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性，线性迭代地求取射影重建及图像深度因子。

After the setup of a table of the spectral factorization results of each array of matrix, the SF decomposition can give the lower triangular matrix by reading the table.

特别是在复杂介质的偏移计算中，分解误差随介质的不均匀性程度的增大而增大，严重影响着波场的计算。

To easily form preconditional curvilinear paths within the trust region subproblem, we employ the stable Bunch-Parlett factorization method of symmetric matrices and use the unit lower triangular matrix as a preconditioner of the optimal path and modified gradient path.

使用对称矩阵的稳定Bunch-Parlett易于形成信赖域子问题的弧线路径，使用单位下三角矩阵作为最优路径和修正梯度路径的预条件因子。

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。

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。

Sodium citrate; calcium carbonate; calcium hydroxide; potassium bicorbonate; magnesium carbonate; ferrous sulphate; Zinc sulphate; copper sulphate; manganese sulphate; potassium iodide; sodium selenite.

柠檬酸钠；碳酸钙；氢氧化钙；碳酸氢钾；碳酸镁；硫酸亚铁；硫酸锌；硫酸铜；硫酸锰；碘化钾；亚硒酸钠。

All this to say that I'm glad filmmaking hasn't become completely ironic. I can enjoy an ironic film as much as the next person, but they usually involve a message of some sort. One that's delivered in a smirkingly clever way that requires little in the way of talent.

所有这些都是说，我很高兴电影制作没有变成完全讽刺艺术，我可以和下一个人一样享受讽刺电影的乐趣，虽然他们经常会被划归到一定级别，技术方面不需要很高的才能。