Hello, there. Nice to see you again.
All right, go ahead.
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?
Wait, are you talking to me?
Yes, you! Just like get out of the way somewhere, because I don't want to see...
What if...what if I hide down here, like this?
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!
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.
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?
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...
Okay! Much better! Okay! Now back to complex numbers, they have the imaginary part and a real part.
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...
Well, I'm a real teacher.
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!
Well, thanks, anyway.
Hey! Hey! Excuse me!
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...
All right, that's a good idea.
- 「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.
- 「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.