[M4A] Nerdy Boy at the Library, Part 1: First Meet

Transcript

Oh, hello, is this seat taken, I mean, no? All the chairs are free, you can sit anywhere. Hi, well, I guess you're just here to study, no need for introductions.

What are you studying? You're studying maths, what kind of maths? I'm really into it.

Geometry, that's my specialty. You're learning the unit circle. I could teach you if you want, or leave you to your studies if you'd rather.

It's up to you. No, no, no, no, you won't interrupt me. I like teaching, and if it's something I can help with, I like helping too.

Okay, so you see, the first thing to think about is that a positive rotation usually goes counterclockwise, so not what you're used to with the clock. In fact, you can forget all about clocks, because they're divided into 12, and we want to divide the unit circle into, well, some arbitrary number. Yeah, so we can start with the units of angles that we measure with.

So if you want to deal with a lot of more advanced calculations with angles and put them into formulas easily, then it's better to drop degrees. It's kind of useless, if you think about it. It's a relic of the past from the Babylonians when they used the six-base system of counting.

So what we want is to have some number that you can put on the number line, because you can't do that with degrees, really. Like I said, it's useless, kind of. It's just that we're brought up with thinking in terms of it.

Anyway, we want to deal with something that has to do with the circle itself, and pi has to do with it, or 2pi specifically. So 2 times pi, that's tau. Tau is defined as the circumference, so the whole way around a circle divided by its radius, and it's always the same number no matter how big or small the circle is.

They grow together if you think about scaling it up and down, and so that's useful. You can think that one full rotation is tau, which if you translate it into decimal numbers, it's going to be 6.28, but you can just operate in terms of tau itself, and then you can calculate back to human-readable numbers afterwards if you like. But often if you're going to keep using values and solve a big problem, then it's easier to just kind of stick with those numbers and trust that they work, which they will.

Does that make sense? So for example, half a tau is 180 degrees, a quarter tau is 90 degrees rotation, and the rotation goes starting from the right usually, so along the x-axis, and it goes counterclockwise, so it goes upwards to get to 90 degrees, for example. Yeah, it's really that simple.

And then every other formula and, you know, translating values between each other, that's just stuff on top. But that's the base concept. I'm glad it makes sense.

I could go on and on about this. I'm very passionate about it. I should probably stop myself.

I get so excited. So what I'm studying, differential equations today. It's also mathematics.

I'm not sure if you've gotten to that point. It's strange. There's some guesswork involved in solving some of them, which kind of makes me uncomfortable.

You know, with mathematics, usually you'll have the answer straight up, and you'll have some way to solve it or some method. But with some second-order differential equations, it's not always as straightforward. So it's kind of getting me outside of my comfort zone.

But I think that's good, yeah, being a little bit uncomfortable. So anyway, you're getting close to me. Is it making me uncomfortable? Your hand is on my thigh.

Answer the question. It's nice. Why are you doing this? What? What if somebody sees you touching my crotch like that? I'm sorry, this doesn't happen to me.

Not like ever. Thank you. It feels good.

You want me to take off my pants? We're so out in the open. We're going to get expelled if we get caught.

I'm going to fail all my classes. Okay, I'll take my pants off. Just a little bit.

Keep quiet, okay? There we go. I don't believe this is happening.

You're just a stranger. We've only just met. You think I'm cute? I don't think so, but thanks.

I should get more confident, I guess. You're right. Learn to take a compliment.

Thank you. It's difficult to believe. Since nobody's given me compliments really all my life.

I'm just usually the quiet guy. You're really ramping it up now. If I come.

.. Where do you want me to come? In your mouth? Okay.

Put your mouth around me. You're so warm and wet. Oh my god.

Be quiet. I'm. ..

I'm getting. .. I'm getting closer.

I'm going to. .. I'm going to come.

I'm coming. Oh. Oh, fuck.

Oh, I'm so sensitive. Okay, okay. Okay.

You can. .. You swallowed it? Oh my god.

I didn't. .. I did not expect this.

Oh my god. That felt. ..

That felt so good. Thank you. Thank you so much.

Thank you. You're leaving? Yeah.

Well. .. I'm usually sitting here, studying.

Most days. If you ever feel like visiting again, I wouldn't say no. Bye-bye.