查询词典 compatible system of algebraic equations

In addition, in this paper, some applications of matrix direct product and straightening operator to solve matrix differential equations are discussed.

本文还讨论了矩阵直积和拉直算子在解矩阵微分方程中的1点应用，同时给出了矩阵微分方程解的形式。

With the matrix direct product and straightening operator, the necessary and sufficient conditions of the linear matrix equations have solutions and have unique one solution are given.

本文介绍了矩阵直积的有关概念和性质，利用矩阵直积和拉直算子给出了线性矩阵方程有解的充分必要条件以及有惟1解的充分必要条件。

This method was mainly built on the operator matrix's singular value decomposition in the first class of operator equations, and then the best regularization parameters were selected in accordance with the characteristics of singular value so as to identify filter function, thereby removing noise of the function.

该方法主要建立在第一类算子方程的算子矩阵进行奇异值分解的基础上，然后根据奇异值的特征选取最佳正则化参数确定滤子函数，从而达到对该类函数的噪声去除效果。

Necessary and sufficient conditions for the existence and the expressions of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, and skewbisymmetric solution to 4 kinds of systems of linear matrix equations over a regular ring with an involutorial antiautomorphism are given.

利用矩阵技巧和所建立的矩阵理论，给出了正则环上五类矩阵方程组有解的若干充要条件和一般解的表达公式。这些矩阵方程组除了它们在理论上有重要的意义外，还有重要的应用价值。在具有对合反自同构的正则环上，给出了四类矩阵方程组有双对称解，中心对称解，斜中心对称解，广自共轭解，斜广自共轭解，自共轭解以及斜自共轭解的充要条件及其这些解的具体表达式。

The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.

忽略数学模型的细节所招致的最大误差小于0.1%。在此基础上得到引力异常造成落点偏差的近似解。

Numerical method to solve the famous Riccati equations is provided though Hamilton matrix solution is used in the following handling.

最后阐述了理论推演中所涉及到的可控、可观性及可控性指标的物理概念，以及控制问题中所常见的Riccati方程的数值解法和Hamilton矩阵解法。

On the base that two comparison theorems are established,applying the fixed-point theorems,we investigate the existence of maximal and minimal solutions forfirst order initial value problem and the JKjperiodic boundary value problem of discontinuous differential-integral equations of mixed type in partial-ordered Banach spaces,respectively.

在建立了两个比较定理的基础上，我们应用不动点定理，分别研究了半序Banach空间中不连续的一阶混合型微分-积分方程的初值问题与周期边值问题最大解与最小解的存在性。

Analysis is based on Maxwell equations.

分析的方法是依据麦克斯韦方程式。

For application of one dimensional photon crystal, we need to solve the Maxwell's equations.

在一维帯隙材料光束传播方面，我们提出了一种新的数值计算方法。

Standard patch clamp methods were used to measure whole cell capacitance,zero current potential,reversal potential and potassium ion currents of Deiters′ cells in normal external solution.Equations were used to compute the relative membrane permeability ratio of Deiters′ cell to K+ and Na+ and the potassium equilibrium potential.

采用酶孵育加机械分离法分离Deiters细胞；利用膜电钳技术在全细胞模式下检测全细胞电容，记录在正常外液中的钾电流，零电流电位，反转电位，并根据相应公式计算离子通道K+与Na+的相对通透性比率及K+平衡电位。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？