1·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。
2·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。
3·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。
4·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。
5·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(Mandelbrot set)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。
6·For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.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。
7·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。
8·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。
9·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。
10·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。