Equations set based on analytic equation was presented to determine the position of device intervening body cavity to diagnose disease.
为了解决介入人体腔道诊疗器件的定位问题，提出了一种利用永磁磁场解析表达式组建方程来反推位置的方法。
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。
Parametric models are built from a set of mathematical equations.
参数的模型是从一组数学公式中被建造出来的。
Then Einstein, with his special theory of relativity, looked at a whole set of symmetries of Maxwell's equations, which are called special relativity.
接着爱因斯坦提出了狭义相对论—一种更简明的公式，它更体现了对称性。
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。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
It might ask you to just set up the equations, or it might ask you to solve them.
可能只会要你列出方程，也可能是叫你解出方程。
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。
The complete Euler equation set contains all kinds of Euler equations of the variational problems.
该方程组涵盖了变分问题的各种欧拉方程。
slide - "Yang-Mills TheoryFifty years ago a new set of equations was presented by C."N. Frank Yang and Robert Mills.
幻灯片出现：50年前，杨振宁和罗伯特·米尔斯提出了杨-米尔斯理论。
Using a compressibility coordinate transformation, a set of the first derivative differential equations has been derived.
采用了压缩性的坐标变换后，推导得到了五个一阶导数的微分方程组。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
When all elemental equations can be described by a set of constant parameter values, as in the familiar RLC circuit, the system is said to be stationary or time-invariant or constant coefficient.
当所有基础方程都能用一组定常参数值来描述，正如熟知的RLC电路的情况，就称该系统是稳态的，或时不变的，或常系数的。
A complete set of equations for cable dynamics is put forward by using some tensor relations, in which the effects of shear stress and bending moment are included.
利用张量关系，推导了完整的缆索动力学方程组，包含了剪切和力矩的影响，并把它们表示在两种不同的常用坐标系中，以便查阅。
The dynamic equations developed in this paper are a set of highly nonlinear STIFF ordinary differential equations.
本文导出的动力学控制方程是高度非线性的STIFF常微分方程组。
The set of simultaneous equations breaks up into one set of four, one set of two and one set of one simultaneous equations.
此联立方程组分解为一组四个，一组两个和一组一个的三组联立方程。
By analyzing motion orbits of picks when a horizontal cutting head cuts, geometry models and motion equations are set up in the paper.
分析横轴式截割头摆动截割时截齿的运动轨迹，建立了其几何模型和运动方程。
The problem of constrained matrix equation is to find solutions of matrix equations in a set of matrices satisfying some constrained conditions.
约束矩阵方程问题是指在满足一定约束条件下的矩阵集合中求矩阵方程的解的问题。
This method based on modified nodal approach is easy to set up the fault diagnosis equations and has lower degree of nonlinearity and regular Jacobi matrix form.
该法以电路的改进节点方程为基础，具有建立故障诊断方程容易，所建立的方程具有较低的非线性度及规则的雅可比矩阵的特点。
This is a set of typical stiff ordinary differential equations, very small time step could only be adopted when solving the set of equations with common methods.
它是一组典型的刚性常微分方程组，用一般方法求解时只能选用很小的时间步长。
The dynamical basis of vortex motion solution is the set of equations of turbulent velocity fluctuation.
求涡旋运动解的动力学的基础是湍流速度涨落方程。
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 equations of optimal fixed-lag smoothing filter are obtained by using optimal fix-lag smooth time forward-recurrence algorithm and solving the built system mathematic model.
采用最佳固定滞后平滑的时间向前递推的算法，对所建立的系统数学模型求解，得出了最佳固定滞后平滑滤波的一组方程。
A re verse circulation well control method applicable in slim hole was advanced firstly and respective calculation equations were set up.
文中首次提出适应小井眼的反循环并控方法并给出了相应的计算公式。
The static characteristic of an automatic gain control system depends on a set of nonlinear equations.
决定自动增益控制系统静态特性的是一组非线性方程。
The solution of the problem is finally reduced to solving a set of infinite algebraic equations.
问题最后可归结为求解一组无穷型的线性代数方程。
A set of difFerential equations and the corresponding boundary conditions are derived according to virtual work principle and the longitudinal displacement patterns.
根据所提出的位移模式，结合虚功原理推导出组合梁剪力滞效应微分方程以及相应的边界条件。
A set of equations determining the neutral Angle, rolling torque and the slip condition in asynchronous rolling are derived by upper bound method.
应用上界法推导了一组可确定异步轧制时的中性角、轧制力矩和打滑条件的方程。
The set of equations for inverse force analysis of the spring system is derived at first and then solved using continuation method.
建立了力逆解方程组，用连续法求出了全部解，得到了系统处于静力平衡时的全部构。
The set of equations for inverse force analysis of the spring system is derived at first and then solved using continuation method.
建立了力逆解方程组，用连续法求出了全部解，得到了系统处于静力平衡时的全部构。
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