Economic models often lead to the study of systems of equations.
经济模型经常导致对方程组的研究。
The convergence properties of Newton's method for a type of overdetermined systems of equations were studied.
研究了一类超定非线性方程组的牛顿迭代法的收敛性。
Algebra is stepping up: Prepare for linear equations and inequalities, and systems of equations in two variables.
代数的比重则会增加，考生要在线性方程、不等式、二元方程等方面做好准备。
In this paper, we propose a projected trust-region algorithm for solving bound-constrained smooth systems of equations.
本文提供了在没有非奇异假设的条件下，求解有界约束半光滑方程组的投影信赖域算法。
Direct simulation of a process of interest, rather than the integration of a set of underlying evolution equations, is an indispensable element in the study of complex systems.
直接模拟复杂有趣的过程，而不是计算一套枯燥的演化公式，这是如今复杂系统研究中必不可少的要素。
Hastings, a professor in the UC Davis Department of Environmental Science and Policy, is one of the world's top experts in using mathematical models (sets of equations) to understand natural systems.
加州大学戴维斯分校环境科学与政策系教授黑斯廷斯，是世界上利用数学模型(方程组)来理解自然系统的顶级专家之一。
Meschach was designed to solve systems of dense or sparse linear equations, compute eigenvalues and eigenvectors, and solve least squares problems, among other things.
Meschach可以解稠密或稀疏线性方程组、计算特征值和特征向量和解最小平方问题，另外还有其它功能。
In the analysis of very complex systems, the governing equations for the system components form a large set of simultaneous equations.
在非常复杂的系统的分析中，系统组件的控制方程是由一个大的联立方程形成的。
Many nonlinear equations, describing either conservative or dissipative systems, show stochastic behaviour in suitable range of parameter values.
许多描述保守或耗散系统的非线性方程，在一定的参数范围内表现出内在的随机性。
The paper studies the form invariance of differential equations of motion for holonomic systems in terms of quasi coordinates, under the infinitesimal transformations of groups.
研究完整力学系统准坐标表示的运动微分方程在群的无限小变换下的形式不变性。
We have already stated that our main concern will be the study of systems for which linear, time-invariant differential equations provide a useful model.
前已指出：我们主要关心的是用线性、时不变微分方程作为实用的模型系统。
Exact response of damped linear vibrating systems to arbitrarily excitation is obtained according to theory of ordinary differential equations.
利用常微分方程组理论在较一般条件下求出了线性有阻尼多自由度振动系统对任意外激励的精确响应。
Using gain coefficient to derive the dynamic equations of laser systems.
利用增益系数推导激光系统的动力学方程。
The perturbation systems of discrete soliton equations are investigated.
研究了离散孤立子方程的扰动系统。
As everyone knows that the characteristic equations of the delay systems have infinite roots for a fixed delay and it is hard to solve for them.
众所周知，时滞系统的特征方程对某一固定的时滞来说有无穷多个根，并且这些根也是很难解出的。
Usually there are two basic forms of dynamical systems: continuous dynamical systems described by differential equations and discrete dynamical systems described by iteration of mappings.
根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。
Based on gear method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.
本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。
The dynamical equations of rigid flexible coupling multibody systems have characters of stiffness and high frequency oscillation.
刚柔耦合多体机械系统动力学微分方程组具有刚性和高频振荡的特点。
Lattice systems and nonlinear wave equations are two kinds of very important infinite dimensional dynamical systems.
格点系统与非线性波动方程是两类很重要的无穷维系统。
Conceptions of similarly non-coupled systems and equations are introduced.
引入了相似非耦联系统和相似非耦联方程的概念。
The nonlinear motion equations of the systems are derived and the journal orbits are determined as aPProximate solution of those equations.
推导出了系统的非线性运动方程，所求方程的近似周期解即为轴心轨迹。
The study of iterative dynamical systems involves iterative functional differential equations.
对迭代动力系统的研究必然涉及迭代泛函微分方程问题。
In this paper we study systems of Diophantine inequalities and equations with prime Numbers. We improve previous results by more delicate estimates of exponential sums.
本文研究了和素数有关的方程组和不等式组。通过更细致的指数和估计，我们改进了以前的结果。
Engineers must be able to write equations describing physical systems and use these equations to mathematically predict the performance of these systems.
工程师必须能列出描述各种物理系统的方程序，并利用这些方程供用数学方法来预测这些系统的性能。
Systems of linear differential equations can be handled by using the methods of linear algebra.
线性微分方程组可以应用线性代数中的方法求解。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
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