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。

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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。

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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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That makes sense if you think about this process of cell multiplication, that I have one cell it becomes 2 cells in a minute, it could become 4 cells in another minute, it could become 8 cells in another minute and that's all that this set of equations is representing.

如果你和细胞增殖的过程联系起来的话,这个是说的通的,我有一个细胞在一分钟里变成了两个细胞,那就可以再花一分钟变成四个细胞,再花一分钟就变成八个细胞,这就是这个方程所代表的意义

耶鲁公开课 - 生物医学工程探索课程节选

So what we're going to do is take the equations for those two lines, so here's one of those equations and here's the other one, set the P in those equations equal to X, I've got two equations in one unknown, I'm sorry, I've got one equation and one unknown.

接下来我们只需要,列出这两条线各自的方程,也就是这个方程和这个方程,把方程中的P换成X,我就得到了两个等式和一个未知数,错了,是一个等式和一个未知数

耶鲁公开课 - 博弈论课程节选

Although Lord Rayleigh was unable to come up with a solution, he developed a set of equations that are still being used today and formed the basis for the team's work on shrimps.

BBC: Shrimp, bubble and pop