So, the chances of getting any activity from these inner shell of electrons are vanishingly small.

所以，内层电子间,进行反应的可能性,是很小很小的。

麻省理工公开课 - 固态化学导论课程节选

And carbon 14, 6 again and it has 8, and it is found in vanishingly small amounts, 10 10 to the minus 12 or part per trillion.

碳14，6个质子，8个中子，它的存在是非常微小的，几乎趋于零，万亿分之。

麻省理工公开课 - 固态化学导论课程节选

as long as it's small and finite, will lead to some small infinite errors in the formula, but remember it's got to be in the end made to be vanishingly small.

只要它只是有限小,就会在公式中引起无限小的误差,但请记住,Δt最后变得难以察觉地小

耶鲁公开课 - 基础物理课程节选

It is vanishingly small.

但是这微乎其微。

麻省理工公开课 - 固态化学导论课程节选

So, the point is whenever you have derivatives with something over dt, do not hesitate to cancel the dts This will be actually true as long as both quantities are vanishingly small.

关键在于,只要你推出的式子分母上有dt,不要犹豫,直接约掉,这个式子只在,两遍都是无穷小的情况下成立

耶鲁公开课 - 基础物理课程节选