无因次数的物体意义一般不能清楚地用公式表达。

The physical meaning of dimensionless numbers cannot usually be formulated clearly.

youdao

如果用公式表达的话就会用到向量，如果用向量的话，我们就需要一些对我们显而易见的方法,来解决它。

And, you'll see that if we reformulate Kepler's Law in terms of vectors, and if we work a bit with these vectors, we are going to end up with something that's actually completely obvious to us now.

youdao

有些模式涉及到对称性，因而可以用数学公式加以表达。

Some of these patterns relate to symmetries, which can be expressed mathematically.

youdao

Well, there's a formula that's been used by bond traders for hundreds of years and it's a traditional expression, which goes from the discount rate to the price.

这里有个债券交易商,用了上百年的公式,这是个传统表达式,它能用折扣率算得价格

耶鲁公开课 - 金融市场课程节选