I said that if I was really hygienic, and you can now wonder about how often do I shower?
但是这真的很棒,对不对?,那么为什么我要说这些呢?,我说过如果我真的很讲卫生的话?
How often do you see him?
你多久见他一次?
That's where you're just asked over a period of time, how often you eat this list of foods and you're given a very long list of foods.
正如同你们刚才问的,你多久吃一次这些食物,你有一个很长的食物列表
So, this is an absolutely outstanding discovery, even though, if we think about it, what is the probability that this happened, how often did this happen?
0个alpha粒子,这绝对是一个,很了不起的发现,虽然我们仔细想想?
Now, did any of you notice how often Sal eats pie?
好,你们注意过Sal是怎么吃派的吗?
And that's just a way of reminding you that we want to think carefully, but what are the things we're trying to measure when we talk about complexity here? It's both the size of the thing and how often are we going to use it? And there are some trade offs, but I still haven't said how I'm going to get an n log n sorting algorithm, and that's what I want to do today.
这只是在提醒你们我们要仔细的思考问题,但是当我们在讨论复杂性的时候,我们到底要衡量哪些东西?,是列表的大小和对其进行查找的频率吗?,这里面临一些取舍,但是我还没有说明,怎样得到一个n,log,n复杂度的排序算法,并且这是我今天想要讲的内容。
How we see the world is often confusing and befuddled but what we know can clear things up.
我们所看到的世界充满了不解与困惑,但我们的知识却能帮助我们拨开迷雾
One of the stories that is often told is the goldsmith banker's story that goes back I don't know how many hundred years.
经常被人们提起的一个故事是,金匠银行家的故事,它可以追溯到,我不知道是几百年以前了
Often,we just don't know how it got it, and it just happened because somebody just said, "It's authoritative. It must've been written by an apostle."
我们通常都不知道它是如何来的,它已经成了事实,因为有人说,“它具有权威,肯定是由一位使徒所写“
Very often they determine how we perform, how well or how poorly we perform.
它们经常决定我们的表现,我们表现的多好或多糟。
I don't know how much you've seen, but quite often the way you learned physics earlier on in high school is probably different from the way professional physicists think about it.
我不知道你们对物理有多少了解,但你们以前在高中所学的物理知识,和资深物理学家们的看法,常常是很不一样的
How can the opposite often result?
事如何常与愿违?
You often use this when you're expressing how you feel about a situation,
当你想表达对某一情况的看法时,你会常常用到这个句型。
That's something that we see again and again and it's remarkable how little common sense is often applied.
这些技能是我们司空见惯的,当时很奇怪人们一般却没有注意到它们。
Now if you've gone to the doctor, often they'll measure your triaglyceride level as a measure of how healthy your liver is and how healthy your diet is.
现在如果你去看医生,他们通常会测你的甘油三酯水平,以此作为你的肝健康和饮食健康的指标
So how often do you drink sugared beverages?
你多久喝一次含糖的饮料
How often do you have this kind of cereal?
多久吃一次这种谷物食品
They often determine how good or not so good our relationships are.
经常决定我们的人际关系有多好或不那么好。
For a driver, for instance, when I ask you to rank how good you are as a driver, what people often do is they think--they say, "I'm better than average," but what they do is they focus on one aspect of their driving.
例如,拿司机来说,当我叫人们给自己的开车技术打个分时,人们通常会认为,“我比一般人好”,但其实他们只看到了开车的一个方面。
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