In general, the input is not just a set of equations.
一般来说，输入不仅仅是一组方程。
Even if there is only one, unique set of possible laws, it is only a set of equations.
即便只有一套独特的可能存在的法则，它也只是一套等式。
Moreover, in general, the solution of a nonlinear set of equations can't be expressed using radicals.
此外，一般来说，非线性方程组的解不能使用自由基来表示。
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。
On the basis of classic optics, a set of equations for calculating the phase function of CGH are obtained.
本文应用经典的等光程原理，导出了CGH器件上的位相函数计算系列方程；
By extending the method used for the case of no external feedback system, a complete set of equations is derived.
通过推广无反馈时的计算方法，导出了描述问题的完整方程组。
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。
The set of equations for RT instability of 3D laser ablation is presented and the numerical method is introduced briefly.
给出了用三维激光烧蚀不稳定性程序求解的物理方程组，简要介绍了所用的数值方法。
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。
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 shaping law of NC-ECCEM is discussed theoretically. The mathematical model was presented and a set of equations was solved by means of computer.
研究了数控展成电解加工的成形规律，建立了相应的数学物理模型并以计算机求解。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
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 purpose of the study was to introduce spectrophotometer into the color matching and set up a set of equations to increase the accuracy of the color matching.
本研究试图通过把色度学及相关仪器引入颜面软组织缺损修复体的配色研究中来提高缺损修复体的颜色仿真性。
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。
Using this set of equations, the internal forces of the complicated multi-paneled arch bridge induced by earthquake can be determined by the proposed practical method.
利用这组方程，就几类典型的空腹拱桥，分析了桥面系对拱的振动的影响，并提出一种实用的工程计算方法。
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。
Based on the analytical solution to stress field around a hole in a stressed orthotropic infinite width plate, a set of equations was derived to calculate the relieved strain matrix.
以正交各向异性无限大板孔边应力场解析解为基础，导出了释放应变矩阵计算表达式，并用一个算例验证了该计算式的正确性。
And then, based on the results of experimental data, the authors propose a set of equations for calculating the pressure drop coefficient in Angle pipes under different flow conditions.
然后再根据试验结果，提出不同流动情况下的转弯局部阻力系数的计算公式。
For any n-layer vertical dike set with contrasts of electric resistivity, a set of equations of coefficients are derived for calculating the electricpotential in the point source field.
对于任意多层不同电阻率垂直岩层，导出了求解点源场电位的系数方程组。
The 3-d first break refraction static corrections adopted time-term technique has difficulty in solving large-scale set of equations because of ill-conditioned property of set of equations.
采用时间项技术的三维初至折射波静校正方法在求解大型方程组时由于方程组的病态性质将遇到困难。
And a set of equations, through which the main basic parameters of a grazing incidence optical system were calculated, were calculated from the common equations of those reflecting surfaces.
通过此方程组可得到掠入射光学系统详细的初始设计参数。
In this paper a set of equations of wet potential vorticity is founded, the basiccriterion of non-conservation is set up, and the dynamics character of the non-conservationmotion is analysed.
本文建立湿位涡方程、提出不守恒基本判据、分析不守恒运动的动力特征，尤其指出在湿中性层结区域非绝热加热和外作用力场对运动的激发作用。
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。
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。
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。
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。
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。
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