Hello, there. Nice to see you again.
哈囉，那位老兄。很開心再次見到你。
Thank you.
謝謝你。
All right, go ahead.
好的，繼續吧。
Okay, I'm gonna tell you about complex numbers today. Complex numbers have a real part and an imaginary part. You know what? You're making me nervous standing there. Could you just go hide somewhere?
好的，我今天要跟各位談談複數。複數有實數和虛數。你知道嗎？你站在那裡讓我很緊張。你可以就躲到其他地方嗎？
Wait, are you talking to me?
等等，你在跟我說話嗎？
Yes, you! Just like get out of the way somewhere, because I don't want to see...
是的，你!就走開到旁邊去，因為我不想看到...
What if...what if I hide down here, like this?
如果...如果我躲到下面這裡，像這樣呢？
Okay, good. Stay there, thank you. Okay. As I was saying, complex numbers have an imaginary part and a... Hey, I see you there. Go away!
好的，很好。留在那裡，謝謝你。好的。像我剛剛說的，複數有虛數和...嘿，我看到你在那。走開!
Complex numbers have an imaginary part and the real part. I see it's written over there on the whiteboard. If you take a real number plus an imaginary number then you end up with a complex number. Now the most important thing about complex numbers is if you take an imaginary number like i, i...
複數有虛數和實數。我看到它已經寫在白板這邊了。如果你拿一個實數加上一個虛數，那麼你最後就得到複數。現在關於複數最重要的事，是如果你拿一個像 i 的虛數，i...
Hey! What's wrong with the connection? That last thing I said was really important. Let me rewind it again so you can see it.
嘿!連線出了什麼問題？我剛剛說的那最後一件事非常重要。讓我再倒帶一次好讓你們看到。
So if you take i times i, i squared, you end up with negative one. So that's true for any of the imaginary numbers, because complex numbers are made up...
所以如果你拿 i 乘以 i，i 平方，你最後得到負一。所以任何虛數都是這樣的，因為複數是由...
Hey! What is this thing? I don't know what this is. I don't know why this keeps happening. I'm just gonna get rid of this. And so it won't happen again. Let me...let me move this over all the way to the... There we go. Now we won't...You know what?
嘿!這是什麼東東？我不知道這是什麼。我不知道這為何一直發生。我就是要擺脫這個。這樣它就不會再次發生。讓我...讓我把這個整個移到...好的。現在我們不會...你知道嗎？
Wait a second here. Did you start me in Internet Explore? What were you thinking? You know what? I gotta start a better browser here. Let's just see here...
等等。你用IE開啟我嗎？你在想什麼？你知道嗎？我得開一個比較好的瀏覽器。就來看看這個...
Okay! Much better! Okay! Now back to complex numbers, they have the imaginary part and a real part.
好的!好多了!好的!現在回到複數，它們有個虛數和實數。
But you know what? This has gotten me thinking, I'm having a bit of a philosophical crisis here. You know, maybe you really do need a real teacher. I feel like the imaginary part...
但你知道嗎？這讓我想到，我在這有點哲學上的危機。你知道，也許你們確實需要一位真正的老師。我覺得好像虛數部分...
Well, I'm a real teacher.
嗯，我是位真正的老師。
You know what? I'm gonna have to turn it back over to you. I don't know if I can do this anymore, so... Okay, back to you, thanks!
你知道嗎？我必須要轉回去給你。我不知道我是否能再繼續下去了，所以...好的，回到你身上，感謝!
Well, thanks, anyway.
嗯，不論如何，謝啦。
Hey! Hey! Excuse me!
嘿!嘿!不好意思!
Oh, sorry. I didn't mean to be a distraction, sorry about that. Actually, you know what? Let me just exit out of this and then we...
喔，抱歉。我不是故意要打擾，很抱歉。事實上，你知道嗎？讓我就離開這個然後我們...
All right, that's a good idea.
好的，那是個好主意。
- 「最後得到」- End Up With
If you take a real number plus an imaginary number then you end up with a complex number.
如果你拿一個實數加上一個虛數，那麼你最後就得到複數。 - 「擺脫、除去」- Get Rid Of
I don't know what this is. I don't know why this keeps happening. I'm just gonna get rid of this.
我不知道這是什麼。我不知道這為何一直發生。我就是要擺脫這個。
