Have the computational hygiene, if you like, to only go through accessors, only go through methods that are actually provided to you as you do this.

请大家注意计算卫生，如果你喜欢这么说的话，只通过访问器访问数据,当你访问数据的时候,通过提供给你的方法来访问。

麻省理工公开课 - 计算机科学及编程导论课程节选

This answer that says I just undercut Pepsi, that's true provided that Pepsi hasn't gone above the monopoly price.

比百事定价低点的答案,只有在百事没有高于,垄断价格时才是正确的

耶鲁公开课 - 博弈论课程节选

Conversely, if I knew the velocity of this object, I also know what time it is, provided I knew the initial velocity.

反过来,如果我知道了这个物体的速度,我也同样可以知道时间,只要初速度是已知的

耶鲁公开课 - 基础物理课程节选

Notice in this program I have not checked whether or not the user actually provided input.

就拿这个程序说事吧，我们根本没有检查,用户到底有没有输入。

哈佛公开课 - 计算机科学课程节选

and this is something I'm going to return to on Wednesday actually, behaviorists have provided powerful techniques for training, particularly for nonverbal creatures.

实际上我周三的时候会来讲讲这个，行为主义者们发明了,在训练非言语生物方面，非常有效的训练技术。

耶鲁公开课 - 心理学导论课程节选

They didn't say whether it had to be the same one or three different provided, and this was the compromise, provided the guest paid 50 pence to defray the cost to the college.

他们也没说是同一个还是三个不同的人,前提是，这也是妥协之处，过夜男士每次要付50便士来补贴学校。

耶鲁公开课 - 公正课程节选

He seems, in this way, to anticipate what we might think of as the modern welfare state that public assistance be provided, and the poor, not simply depend on the private goodwill of the others.

如此看来,霍布斯已经预见到了,我们现代社会国家福利制度的出现，穷人不只依靠个人的善意施舍度日,更多的是求助于国家提供的福利保障。

耶鲁公开课 - 政治哲学导论课程节选

The traditional answer is that These guys actually did press up against the rows in front of them And that this provided a momentum That gave the front line an advantage in beating the enemy facing them.

传统的回答是,他们实际上是在推挤前面几排友军,为其提供一种动力,使前线在与对面的敌人交战时具有优势

耶鲁公开课 - 古希腊历史简介课程节选

But along with this conceptual framework, provided by none other than Thomas Hobbs in England, who had lived through the English Civil War and thought that you shouldn't mess around with this rights business, you need some sort of big powerful monarch there-- but there was a sense inherent in all of this.

但与之同存的另一种观点,是英国最具代表性的托马斯·霍布斯提出的,他经历过英国内战,且认为君主不该滥用手中权力,你需要的是一个有权利的君主,但这其中有一些内在的概念

耶鲁公开课 - 欧洲文明课程节选

One way to think about Nash equilibria is that they are self-enforcing agreements, so provided that everyone believes that everyone is going to go along with this agreement, then everyone in fact will.

我们可以这样理解纳什均衡,把它们想象成自我实施的协议,假设每个人都相信,大家都会遵守协议,那么大家就都会遵守

耶鲁公开课 - 博弈论课程节选