查询词典 simultaneous equations

In the beginning of quadratic equations such as, x2-2=0,forced upon us the irrational number, and led to the study of methods of operating with radicals, and to the solution of radical equations.

而二次方程，例如x2-2=0的出现，让我们不得不接触无理数，同时也带来了对于求根方法，以及根方程的研究。

Meanwhile, we proved the unboundedness of solutions of Lienard equations with weaker damping terms when the rotation number is irrational. We still obtained the unboundedness of solutions of Lienard equations with asymmetric nonlinearities at resonance.

另外，还通过应用Birkhoff遍历定理证明了当旋转数为无理数时，弱阻尼的Lienard方程无界解的存在性；同时，证明了共振条件下具有不对称非线性项的Lienard方程无界解的存在性。

For different polynomials g, if the characteristic polynomial of a n matrix A is irreducible, then we get some theorems to determine matrix equations g =A solvable; if it is reducible, then, to see n-dimension space vectors M over a field F as F-module, we use module theory to determine these equations solvable such that it is simpler and clearer to investigate these questions.

对于不同多项式g，当n阶矩阵A的特征多项式为不可约的，我们给出了矩阵方程g=A有解的判定定理；当A的特征多项式为可约的，把域F上的n维线性空间M作为由A导出的F -模，我们利用模论知识来决定矩阵方程g=A有解性，从而使这一问题变了简单，研究思路更加清晰。

Iterative method is used for equations or equations approximate root of a common algorithm design methods.

迭代法是用于求方程或方程组近似根的一种常用的算法设计方法。

Variational equations of motion of each flexible link are derived under Jourdain variational principle, and then the mixed algebraic-differential equations of flexible multibody systems are obtained with the kinematic constraint conditions.

用Jourdain速度变分原理建立各机械臂的动力学变分方程，在此基础上根据各物体之间的运动学约束关系，建立柔性多体系统的微分代数混合动力学方程。

Using Fourier expansion, Laplace transforms and Hankel transforms with respect to the circumferential, time and radial coordinates, respectively, the partial differential equations are reduced to a set of ordinary differential equations. Transfer matrices for this situation are derived and explicitly solved.

利用Fourier级数和Laplace-Hankel变换，将该状态变量方程转换为两组一阶常微分方程组，提出了有限层饱和多孔介质空间非轴对称Biot固结问题的传递矩阵，得到饱和多孔介质空间非轴对称Biot固结问题在状态空间中的解。

It computes wind factors for flight data file, uses differential equations to solve for position and tension vectors as a function of arc length, and uses Runge-Kutta method for integration of ordinary differential equations.

该软件计算用于飞行数据文件的风向因素，使用不同的方程式，比如一个弧线长度函数来解决位置和牵引方向问题，使用 Runge-Kutta 方法解决综合推理差异方程式。

In this work, the equations describing circular Gaussian beams propagating inside absorptive Keer medium have been derived from nonlinear paraxial equation. Based on the equations, an evolution equation of beam waist lias been obtained.

本文从非线性近轴波方程出发，导出了在吸收克尔介质中具有二次位相因子的圆对称高斯光束的传输方程，得到了光束束腰的演化方程。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

The principle of method,experimental conditions,regression equations and linear equations are discussed.

讨论了方法原理、实验条件，建立了回归方程和线性方程组。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。