This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
A new linear analysis for magnetic helical instabilities of arc discharges in a cylindrical plasma is developed based on a set of electrostatic magnetohydrodynamic equations.
在静电磁流体方程基础上，提出了柱状放电电弧等离子体磁螺旋不稳定性的一种新的线性分析方法。
Introducing the boundary conditions of the beam, a set of linear complementary equations is established of the beam on a rigid foundation in terms of foundation reactions and deflections.
通过引入梁的边界条件，建立起一组刚性地基梁关于地基反力和挠度的线性互补方程。
A link substructure composed of a group of linear and nonlinear link units, can be used in the free interface modal synthesis technique to set up nonlinear vibration equations.
提出一种由线性连接元和非线性连接元组成的连接子结构，并将这种连接子结构用于自由界面的模态综合技术。
Uses a reduced-Newton algorithm with a weak line search to solve a set of non-linear algebraic equations.
使用简化的牛顿计算方法和弱队列搜索来解决一系列的非线性代数方程。
This method is effective for linear ordinary differential equations whose non-homogeneous term belongs to the set described above.
该方法对非齐次项属于该类函数的线性常微分方程行之有效。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
According to the testing results, four kinds of non-linear creep equations were set up for describing non-linear creep characteristic of frozen clay.
根据试验结果，提出四种形式的非线性蠕变方程，来描述冻粘土的非线性蠕变特性。
A set of linear ordinary differential equations in the case of sm all deflections is determined by application of the Galerkin's method.
在小变形情况下，运用伽辽金方法，可将偏微分方程转换为线性常微分方程组进行求解。
In this paper, a hybrid optical-digital system is presented to solve a set of linear equations in iterative fashion.
本文提出一种用于迭代法求解线性方程组的光电混合系统。
We cast these ranging measurements as a set of distance constraints, thus forming an over-determined system of equations suitable for non-linear least squares optimization.
我们将这些距离测量看作距离限制集，从而构成一个超定的系统方程，适用于最优非线性最小二乘。
We cast these ranging measurements as a set of distance constraints, thus forming an over-determined system of equations suitable for non-linear least squares optimization.
我们将这些距离测量看作距离限制集，从而构成一个超定的系统方程，适用于最优非线性最小二乘。
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