查询词典 structure equations

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。

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。

The proposed scheme is developed using the local coordinate system based PML splitting equations and integral approaches of the PML equations under a discretization of triangular grid cells.

本方法的核心是建立局部坐标系下的分裂方程和基于积分近似的微分方程弱形式。

The equations of electromagnetic field are invariant with respect to the Lorentz transformation and the mechanical equations are invariant with respect to the classical transformation.

电磁场方程对于洛伦兹转换是不变的，而力学方程对于经典转换是不变的。

The father that if work,mad father, love annoys, disposition is too indrawn the be short ofing that the father of Mu Ne, resign oneself to adversity causes father easily to love is broken; Communicate time effectively between father and son, Mu Zizhi to be less than a hour on average to wait a moment every week, it is the cause that causes the child to become addiction.

如工作狂的父亲、爱愤怒的父亲、性格过于内向木讷、逆来顺受的父亲都易造成父爱的缺失；父子、母子之间的有效沟通时间每周平均小于一小时等等，都是造成孩子成瘾的原因。

These are vandal proof and they come with a locking mechanism.

这是野蛮的证据，他们来到了锁机制。