Name: Game Theory Scene | 21(2008) | 正在播放 (Game Theory Scene | 21(2008) | Now Playing)
Uploaded: 2025-10-07T07:56:48.000Z
Duration: 3 min 39 s

情態助動詞 A2

All right, now, who can explain Newton's method and how you use it?

好的，現在，誰能解釋一下牛頓法以及如何使用它？

to 不定詞

You can use it to solve nonlinear equations.

你可以用它來解非線性方程組。

I mean, I'm very impressed by that, especially since my class is called Nonlinear Equations.

我是說，我對此印象深刻，特別是我的課就叫做非線性方程組。

All right, now somebody tell me something I don't already know.

好的，現在有人告訴我一些我還不知道的事情。

Joseph Raphson published the same method 50 years earlier.

約瑟夫·拉弗森 其實早了 50 年就發表了這個方法。

If the start value is too far removed from true zero, then it fails.

如果起始值離真實零點太遠，它就會失敗。

So Ben Campbell suggests that Joseph Raphson was the original author of this method.

所以 Ben Campbell 建議約瑟夫·拉弗森才是這個方法的原創作者。

Well, if that's the case, then why didn't he get any credit?

好吧，如果真是這樣，那為什麼他沒有得到任何肯定呢？

Well, for one thing, Newton had a better publicist.

嗯，一方面，牛頓的宣傳員比較厲害。

And for another, after 1700, we know very little about Rapson other than the fact that he discovered the Kabbalah about 300 years before Madonna.

另一方面，在 1700 年之後，我們對拉弗森的瞭解非常少，只知道他在瑪丹娜之前大約 300 年發現了卡巴拉。

All right, now let's give Ben a chance for some extra credit, shall we?

好了，現在我們給 Ben 一個加分的機會，好不好？

We're gonna call this the game show host problem.

我們要稱這個為遊戲節目主持人問題。

All right, Ben, suppose you're on a game show and you are given a chance to choose from three different doors, all right?

好了 Ben，假設你參加一個遊戲節目，然後有機會從三扇不同的門中選擇，好嗎？

Now, behind one of the doors is a new car.

其中一扇門後面是一輛新汽車。

Now, the game show host, who, by the way, knows what's behind all the other doors, decides to open another door.

好的，遊戲節目主持人，他知道所有其他門後面有什麼，他決定打開另一扇門。

Now, Ben, game show host comes up to you.

現在，Ben，遊戲節目主持人走到你面前。

He says, ben, do you want to stay with door number one or go with door number two?

他說：「Ben，你想繼續選擇一號門，還是換成二號門？」

Now, is it in your interest to switch your choice?

現在，改變你的選擇對你有好處嗎？

Remember, the host knows where the car is, so how do you know he's not playing a trick on you, trying to use reverse psychology to get you to pick a goat?

記得，主持人知道汽車在哪裡，所以你怎麼知道他不是在跟你玩把戲，想用反向心理學讓你選到山羊？

我的意思是，我的答案是基於統計學。

Well, when I was originally asked to choose a door, I had a 33.3% chance of choosing right.

嗯，當我最初被要求選擇一扇門時，我有 33.3% 的機會選對。

But after he opens one of the doors and then re offers me the Choice, it's now 66.7% if I choose to switch.

但在他打開其中一扇門然後再次給我選擇時，如果我選擇改變，機率就變成 66.7%。

So, yeah, I'll take door number two and thank you for that extra 33.3%.

所以，對，我要二號門，謝謝你多給我的 33.3%。

People, remember, if you don't know which door to open, always account for variable change.

各位，記住，如果你不知道要開哪扇門，永遠要考慮變數變化。

Now, see, most people wouldn't take the switch out of paranoia, fear, emotions.

你看，大多數人會因為偏執、恐懼、情緒而不敢改變。

But Mr. Campbell kept motions aside and let simple math get his ass into a brand new car.

但坎貝爾先生拋開情緒，讓簡單的數學讓他得到了一輛全新的汽車。

Which is better than that goat you've been driving around campus.

這比你一直在校園裡開的那隻山羊好多了。

All right, everybody, that's the end of the day.

Your graded papers are down here at the end.

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Game Theory Scene | 21(2008) | 正在播放 (Game Theory Scene | 21(2008) | Now Playing)

trick

impressive

fear

psychology