But luckily for us, there's a classical equation of motion that will, in fact, describe how the electron and nucleus change position or change their radius as a function of time.

但幸运的是，有一个,经典方程描述了电子和核子,位置或者它们直接的距离是,如何随时间变化的。

麻省理工公开课 - 化学原理课程节选

And then we always had fights about it. But luckily, this girl always cleans up after herself.

我们那时候总是为这个争吵。但幸运的是，这个女孩总是会收拾得很干净。

布鲁克林的房价 - SpeakingMax英语口语达人

And it was fun for us but thankfully, we didn't have to implement all this stuff ourselves.

这对我们也许是有趣的，但幸运的是,我们不需要自己实现所有的功能。

哈佛公开课 - 计算机科学课程节选

And that's somewhat inconvenient because we're working with wave functions, but it's a reality that comes out of quantum mechanics often, which is that we're describing a world that is so much different from the world that we observe on a day-to-day basis, that we're not always going to be able to make those one-to-one analogies.

这对于研究氢原子，很不方便,但这就是事实,而且在量子力学中经常会出现这种事实,那就是我们要描述的世界，和我们日常所看到的世界,之间的差别是如此之大,以至于我们不能，做出一一对应的类比,但幸运的是我们不用管。

麻省理工公开课 - 化学原理课程节选

But fortunately,again,this is why positive psychology as a network of scholars applying themselves to these ideas and ideals. It's so important because today you'll see throughout the semester that there are so many more tools that we can apply to our lives, to go beyond the zero.

但幸运的是，这就是为什么要学习积极心理学,大量的学者致力于,研究这些观点，它意义非凡,因为今天你们会看到整个学期的概览,有很多方法可以让我们的生活质量，达到正值。

哈佛公开课 - 幸福课课程节选

You might say, why? Well it turns out there's some trade-offs to it. It has some advantages in terms of power of storing things, it has some disadvantages, primarily in terms of access time.

那可能是某种意义上的权衡,对存储而言，这有优势,但访问的效率上就变成劣势了,幸运的是，python或者。

麻省理工公开课 - 计算机科学及编程导论课程节选

but we're lucky enough in San Francisco to have enough diversity to support programs like that.

但我们很幸运的是，旧金山足够多元化，
能够支持这样的教学模式。

旧金山的公立教育 - SpeakingMax英语口语达人