Aidan Andrews | quantum physics final today | physics undergrad, AI researcher

Added: 2026-05-12

[00:00:02]Alrighty.

[00:00:05]All right. Good morning. My name is Aiden Andrews. I'm a third-year undergrad student at the University of Illinois Urbana of Champagne studying engineering physics. I'm graduating hopefully. Well, not hopefully anymore, but I'm graduating after these finals.

[00:00:21]This is my last final exam. I have other finals, but this is my last exam.

[00:00:27]um from 7 to 8:00 p.m. tonight.

[00:00:31]And yeah, I'm an AI researcher and CTO and co-founder of AI startup.

[00:00:41]Brain is first of course I think there was only one or two days that he wasn't first and that believe one of them was yesterday.

[00:00:50]I was really surprised. I was like what is going on?

[00:00:55]brain is missing.

[00:00:57]Jordan Abe is second.

[00:01:03]Okay, I'mma play my I'mma play my ultra lock in music even though I really I really don't think I need to lock that lock in that hard uh for this exam. But I'll play uh you get into startup school this year. They actually I have to check what email they sent that to. Um I I didn't apply, but they did email me.

[00:01:37]Um somebody emailed me, one of the partners or something there.

[00:01:43]Um, I can show you. I don't know if I'm really supposed to share this email, but I mean, should be fine.

[00:01:57]Should be fine.

[00:02:01]Um, let me show you.

[00:02:08]Yeah. So, they sent me this. Um, so I might apply. I don't know. I'm still figuring out if uh if it makes sense for me to go or not. Um, so I may apply. I may I might not. We'll see.

[00:02:34]I think it's not I think it's bad. It's bad taste or bad it's it's uh it's not very classy for me to show that email but you know it's okay.

[00:02:56]It's not like some secret email anyways.

[00:02:58]I think they send it to a bunch of people.

[00:03:03]I want my baby back. Baby back. Baby back.

[00:03:11]Yo, what?

[00:03:14]What are these emojis that are What are these emojis that I'm seeing in chat, bro? What is that?

[00:03:22]What is that?

[00:03:26]What do What do we think this guy means in his message, bro? I don't know what that means.

[00:03:40]Jordan was camping the first place yesterday.

[00:03:43]What hour you have your exam? At 700 p.m. Central Standard Time.

[00:03:50]It's currently 9:57 a.m.

[00:03:56]or 19 p.m. or 19 is my exam.

[00:04:09]Should you become financially independent? Yeah, I think so.

[00:04:15]What's up, Beast?

[00:04:23]Yeah, I don't That's what I was saying.

[00:04:24]I think they send that or say that to like a bunch of people.

[00:04:32]Is this your final semester? It should be.

[00:04:37]>> Would a answers ever apply to YC?

[00:04:40]Probably not. Well, actually, definitely not.

[00:04:48]Yeah. No, we definitely would not.

[00:04:52]YC is not YC is a startup accelerator.

[00:04:58]Like we don't we're not interested in accelerators. We're going to VCs to get funding.

[00:05:07]Oh wow. This is the finale. Yeah, this is my stream finale.

[00:05:14]Like if the if the streams were like a TV series, this would be the end of the undergraduate series or uh season.

[00:05:26]The last episode of my undergraduate degree, last study stream ever.

[00:05:36]It's definitely a possibility that it's my last study stream ever.

[00:05:43]What made you interested in AI? My brain, bro. I don't know. I don't really control my interests.

[00:06:01]Um, but I'm about to put on some music and Bro thinks I'm going to answer that question.

[00:06:17]Bro, I need more honey. So, I'll be right back. I'm going to go get more honey to put in my breakfast.

[00:07:32]All right, I'm back.

[00:07:37]How many hours do you spend sleeping every day? Um, I don't know. It's a good question.

[00:07:49]I think it's changed. It used to be like 6 hours and 45 minutes, but then my doctor said that that was bad. She was actually really mad at me. And so now it should have gone up. So, let me check my loop.

[00:08:07]Uh, wait, how do I check this again? I go here and I say hours of sleep, 7 hours and 3 minutes.

[00:08:19]My 30-day average.

[00:08:30]Um, and then bench press PR. I think my PR is around 265.

[00:08:40]I don't think I hit 275, but I may be mistaken.

[00:08:45]I may have hit 275 before.

[00:08:57]All right, I'm going to redo the exams.

[00:09:14]redo exams one and two and then well and then nothing actually there's nothing after That's my plan is to redo exams one and two and then I'll go over other material and I got to make my equation sheet. Still haven't done that.

[00:09:58]Do I have to learn anything else other than linear algebra in and calc? I guess not. Depends on how how uh well it depends on how your quantum mechanics course is structured and how in-depth you want to go.

[00:10:19]Okay. Midterm exam one.

[00:10:31]Okay guys, let's do question one.

[00:10:56]Okay, let's rewrite this.

[00:11:05]What's the general form? This is a harmonic uh infinite square well.

[00:11:11]So in infinite square well the general form is like s n equals root something.

[00:11:28]Wait what is the general form?

[00:11:31]Let me get my equation sheet.

[00:11:38]Is this my exam one formula sheet?

[00:11:47]Why I not write it down on my equation sheet.

[00:11:57]All right, bro. Wait, hold on.

[00:12:03]All right. I actually don't know what the general form is. It's root something sin I think it's n pi over a * x.

[00:12:19]I think it's like <unk>2 over a.

[00:12:24]No, can't be.

[00:12:29]It's root something, bro. All right.

[00:12:33]This isn't cheating, bro.

[00:12:36]Let me um this chapter 2 so long ago.

[00:13:02]Yeah. Thought it was 2 over a. That's what I had.

[00:13:05]Yeah.

[00:13:10]All right.

[00:13:26]What is N here? It's just side one.

[00:13:43]Five five.

[00:13:47]All right.

[00:13:49]Now to verify that normalized, all we have to do is put 1/3 + 2/3 equals 1.

[00:13:58]Check. Boom. Next. normalized.

[00:14:03]Oh, is it also correctly normalized at later time t? Yes, because wait does harmonic oscillator or infinite square well.

[00:14:34]Is the time factor dependent on Yeah, it's this thing.

[00:14:42]It's E.

[00:14:58]I think it's over H bar squared. Is that right?

[00:15:07]No, it's just over H bar.

[00:15:11]It's over H bar.

[00:15:38]All right, I'll be more I'll be more explicit.

[00:16:02]Okay. And then for this one, we're going to have one/3 Okay.

[00:16:48]How good the expectation value of the Hamiltonian Oh yeah. What's the equation for en?

[00:17:37]It's like n^ 2 pi^ 2.

[00:17:46]It's like this.

[00:17:54]Where's my equation?

[00:18:10]n^2 pi squ h bar 2 2 m a 2 Okay, wait hold on. Let me put this on a new line.

[00:18:31]Wait, why don't I put this in a different way?

[00:18:38]Just write it more simply. This is just n2 and e1, right?

[00:19:31]Um all right there's my answer or this is also the same as E1 upon 3 + 2 E5 upon 3.

[00:19:48]Um no it does not change in time.

[00:20:04]Okay.

[00:20:16]What energy values can be observed?

[00:20:21]Is that not how it wanted me to solve the Hamiltonian?

[00:20:24]This is the same question.

[00:20:27]We have E1 and we have E5 with probability 1/3 23 respectively.

[00:20:49]How do these probabilities change in time? They don't.

[00:21:02]Why would the probability of the energy values change with time?

[00:21:09]Anything that's dependent on S^ squ is not going to change in time.

[00:21:19]Okay.

[00:21:53]Wait, hold on.

[00:22:22]Okay, after a measurement, it's just going to be Good luck with your final. Thanks, bro.

[00:22:31]Good luck with yours, too.

[00:22:45]chill with the M dash. My fault, bro.

[00:22:57]My fault. I won't use dash anymore.

[00:23:44]Wait, the wave function collapses. So, how could there be probabilities still?

[00:24:12]Yeah, the energy doesn't change with respect to time, bro.

[00:24:18]The wave function collapses, right?

[00:24:27]I mean, that's like the whole point of this question, right?

[00:25:00]Yeah. So the probability the probability has a sum to one.

[00:25:15]Someone told me 7. That's correct.

[00:25:19]700 a.m. Oh my gosh, I missed it.

[00:25:23]No, it's 7:00 p.m.

[00:25:30]All right, this was this was a stupid part of the question.

[00:25:38]It's like this equals like a over two or something.

[00:25:48]Don't quote me on that.

[00:26:20]Yeah, I actually don't know why it's a over two, but it is a over two. Um, maybe I should figure it out.

[00:27:06]go directly to jail. Oh, nice.

[00:27:35]Wait, why does he have cosigns?

[00:28:16]Oh, 2.4 is better actually.

[00:28:31]Yeah. So, you do have to integrate this.

[00:28:36]Did they want us to do this integral on the exam? I was so I was so like when we got that question I was so mad.

[00:28:44]But the answer is a over two. Like you just have to have that written on your equation sheet. I have it memorized now.

[00:28:50]But look, they literally said do not perform do not explicitly perform any trigonometric integrals. Well, to get a over two, you have to perform a trigonometric integral. Buddy, you're so stupid. I hated this question or this part of the question, but the question was overall pretty easy. Uh, obviously does not depend on time.

[00:29:19]Why would it depend on time?

[00:29:36]I don't know. I don't know what it wants me to explain. Why would the pos the expected value of the position change with time?

[00:29:43]It oscillates, bro.

[00:29:49]It doesn't diverge. So, it's obviously going to stay the same.

[00:30:03]What is the average position of the particle at t equals z?

[00:30:38]Okay, so they're orthogonal and then just going to be a over two again, but That's what they mean. Bro, let's look at the Bro, look at the solution sheet, bro.

[00:31:30]We'll see exactly what they wanted us to do.

[00:31:36]What What question is this? This is one E. One E. Look, you literally integrate. I don't know what I don't know.

[00:32:08]Yeah, I don't know what they're talking about.

[00:32:41]Um, but this doesn't change anything.

[00:32:48]It doesn't change with respect to time.

[00:32:50]Like obviously it's going to have the same answer as it did at a previous time.

[00:32:55]A stupid question. All right. Next.

[00:32:59]Super easy.

[00:33:05]For this part, suppose a particle's wave function is given by this.

[00:33:11]Now, does it depend on time? Why or why not?

[00:34:00]Yeah, I actually did not know the answer to this question. And I still kind of don't.

[00:34:10]This one doesn't make any sense.

[00:34:37]Why is S 1 even and S4 odd?

[00:34:45]They're both sign.

[00:35:03]>> Yeah.

[00:35:05]We'll just concede that question.

[00:35:12]Take your points. Take your points, professor.

[00:35:16]Okay, this question's even stupider, bro.

[00:35:22]When you integrate odd functions over symmetric integral, they go to zero.

[00:35:26]Yeah, typically.

[00:35:30]Well, maybe always, actually.

[00:35:34]Wait, odd functions.

[00:35:37]Yeah, odd functions. Yeah, you're right.

[00:35:44]What Mac is at?

[00:35:47]Go to the resources tab on or resources channel on Discord.

[00:36:24]Yeah. So, I know the answer to this question.

[00:36:32]Um, cuz it's it was on my equation sheet, but apparently they wanted you to do a bunch of extra stuff that wasn't asked in the question. I'm still not going to do that. Um, this is the free particle.

[00:36:51]So, we're going to we're going to copy this.

[00:37:12]This is literally the answer. So it's actually that's actually it. That's all you have to write.

[00:37:23]Okay. Is over.

[00:37:28]The answer is done.

[00:37:33]But if we look at the answer key, I've already seen the answer key for this question.

[00:37:42]I wanted you to do something that just clearly was not written on the exam.

[00:38:05]Wait, hold on.

[00:38:17]Oh yeah, that's exactly what the equation she has you write. Yeah, except the minus signs are swapped, but I didn't fine.

[00:38:43]Yeah, this is what I wrote on the exam.

[00:38:45]This is the exact answer I wrote. I said s x of t = 1 /<unk> 2<unk>i - infinity to infinity f of k which is this 1 / <unk>2 pi minus infinity to infinity x 0 e to minus i kx X.

[00:39:21]And then this is times this.

[00:39:40]I believe this is what I wrote on the exam which this you can just collapse into some like saw squiggle. Okay.

[00:40:00]Although the thing doesn't come out of the integral. So it actually is kind of confusing how you get that.

[00:40:15]Yeah, the normalization constraint was really easy.

[00:40:22]Um, Wait, I actually don't see how this e to the i kx is by itself.

[00:41:46]Yo, do you remember me? I asked you if UI was good.

[00:41:51]A lot of people have asked me that, but sure. Yeah, I remember you.

[00:42:00]I believe he has MacBook Pro. Yeah, I do have a MacBook Pro.

[00:42:06]All right. Yeah, question two is just dumb. I I'll come back to question two.

[00:42:10]I'm just skimming over the exams just to see the content.

[00:42:27]Okay. So, we're saying we have some sigh such that And same for the P whatever don't write that down.

[00:42:44]Now consider this state fi= e to the i kx.

[00:42:49]Show that if s is normalized so is phi.

[00:42:53]Okay. This is the easiest question I've ever seen in my life. normalized if and only f integral minus infinity to infinity. Well, not if and only if actually this is specifically our definition of normalized uh let's just call this f f ofx.

[00:43:21]Well, it's actually f ofx t.

[00:43:28]Okay.

[00:43:30]So, let's consider consider v = e minus i kx 5x and Done.

[00:44:29]Show that the expectation values of position and momentum in this in the states five fee in the state fee.

[00:45:28]Okay, done with that one.

[00:45:35]This one's going to be a little bit more difficult, but It's still the same thing.

[00:45:45]Well, you actually get a factor.

[00:47:02]All right. What's the derivative of five with respect to x?

[00:47:08]It's product rule.

[00:47:42]Oh, wait. Keep the No, no, wait. Keep the um keep it here.

[00:47:48]So, we have Uh let's distribute this.

[00:48:54]I need to distribute it otherwise uh we'll be missing the thing.

[00:49:12]There we go.

[00:49:14]Um and then this obviously is just one.

[00:49:18]This is i^2 - 1 pos1. So we just get equals which is what we wanted to prove right h bar k. Nice.

[00:49:34]Okay. Suppose it's an energy state. Can you conclude that sx is also an energy igen state briefly? Okay. So if it's an energy igen state that means h si So let's uh let's take h5.

[00:49:55]Let's see what this equals.

[00:49:57]This is going to equal e to the Oh, well h is actually a Yeah, it doesn't. It's not.

[00:50:10]It's not.

[00:50:26]So now Yeah, cuz the E depends on.

[00:50:49]Yeah, you get some complicated You have a derivative of X in the momentum, right? H equ= what? What is it? P ^2 over 2 M + VX or something.

[00:51:09]Um, and P ^2 equ= H bar something like that, right? The second d with respect to x is going to give us a factor of k or k^ squ or something. So you're going have dot dot k^ squ e s which does not equal oh well actually we don't even know.

[00:51:37]Yeah, you don't even know what the it's because you have x dependence. They actually gave me marks off on my resubmission of my exam, but whatever.

[00:51:52]I don't really care that much. All right, this exam was pretty easy. The only thing was question two was really stupid and 1G.

[00:52:00]Both those questions sucked.

[00:52:05]Okay, let's check out midterm 2.

[00:52:10]Midterm two was a little bit easier, except I didn't have a good equation sheet for midterm 2 actually.

[00:52:26]Will you go to grad school, bro? Uh, maybe someday.

[00:52:31]Good luck with your final, bro. Thanks, brother.

[00:52:40]Do you think you're 100% ready? I think I could take the exam right now. It wouldn't be that big of a deal. I just need a equation sheet.

[00:52:54]What uni to go to? It's definitely not personal. Um, I go to the University of Illinois or a band of Champagne.

[00:53:40]What's up, Ollie?

[00:53:42]Will you be studying in the summer?

[00:53:45]>> Yeah, but I don't know if I'll be streaming study in this summer.

[00:53:50]>> We'll see.

[00:53:55]You want to promote your company after you graduate? Hopefully.

[00:53:59]I'd hope that I do that.

[00:54:11]Question two was the easiest question.

[00:54:14]Question two and question three were the easiest questions I've ever seen ever in my life on any exam ever.

[00:54:25]Uh, question one was also really easy, but it sucked cuz I didn't I didn't have it written down on my equation sheet.

[00:54:31]But I did like somehow miraculously pull it out for the exam. Pull it out of my brain somehow.

[00:54:49]You're leaving in 15 minutes, bro. All right. Good luck on your meeting.

[00:54:53]Luck on your meeting, bro.

[00:54:58]Blowhead, bro. Had plot armor. No, literally, that's how it felt. It felt like I just had plot armor.

[00:56:09]almost. traps my bishop.

[00:56:21]Oh my gosh, what am I doing? All right, I'm done. No, I actually can still win this game. Wait, I can actually still win this game.

[00:56:34]I'm just going to win on time.

[00:56:39]I'm just going to win on time. But bro, that's such an L.

[00:56:54]I'm just going to win on time, bro.

[00:57:08]Yeah.

[00:57:11]Oh, what a bad win.

[00:57:15]Take a shower after that.

[00:57:22]That's a greasy win, bro.

[00:57:28]Okay. The important thing for this question is to know that S two dimensional infinite square find to a square box side link L potential that is zero and infinite otherwise.

[00:57:50]Wait what was the important thing to remember with this question?

[00:57:55]Sigh.

[00:58:03]Wait, I actually don't have the Oh, I have my exam sheet, don't I?

[00:59:04]Yeah, this exam was so easy.

[00:59:09]Do you want to play chess right now?

[00:59:10]Sure. You know, play like a 3minut or something.

[00:59:19]I need to take a break. I I've had a good 59 minutes of studying.

[00:59:24]No, I'm just kidding.

[00:59:40]All right. Um, all he do blitz.

[00:59:50]All right, bro.

[00:59:53]Let me pull up the Discord.

[01:00:03]I'm on the Discord in the study room chat, voice chat.

[01:00:23]Bro, accept my challenge. Bro, you want to play or what?

[01:00:46]I'll accept I'll accept your challenge, bro.

[01:00:52]Um, should I give you time odds?

[01:01:06]Oh crap.

[01:01:10]What's up? Who joined the voice call? I can't see. I don't have my phone out.

[01:01:14]It's all in. What's up, bro?

[01:01:20]Good. How are you?

[01:01:24]>> I play this opening every game.

[01:01:30]Yes, it's okay.

[01:01:58]How you doing, bro? Are you still in university?

[01:02:09]>> I see.

[01:02:14]It's good, bro.

[01:02:16]Did you get into your dream school?

[01:02:27]What school? What school is that?

[01:02:30]University of Central London.

[01:02:36]No. Yeah, I think I've heard of it.

[01:02:44]Is the tuition high per year, per semester?

[01:02:57]Okay. Yeah, that's not bad at all.

[01:03:14]Right.

[01:03:24]Well, D1 still your knight is hanging.

[01:03:43]Yeah, but there's no Yeah, but there's no mate is the only problem.

[01:04:02]Wow.

[01:04:05]Very risky. Very risky business.

[01:04:21]Not even attacking the queen. The king.

[01:04:25]Do you mean UCL? University of Central London.

[01:04:29]possibly.

[01:04:44]No, you could save it.

[01:04:50]It's actually two moves that save your knight.

[01:05:17]Okay, let's see how we want to do this.

[01:05:33]Bro, why are there no checkmates, bro?

[01:05:56]Well, I wanted to target this knight, which I guess I will. It's kind of boring, but it's interesting.

[01:06:17]It's too bad you don't have a dark squared bishop, otherwise that would be really dangerous.

[01:06:22]Bull Manson.

[01:06:24]Bull Manson is no longer with us.

[01:06:32]Bull Manson is no longer with us.

[01:06:39]What are you doing? Bull manson.

[01:06:45]>> What class?

[01:06:53]>> Was it hard?

[01:07:03]Facts.

[01:07:09]Wait, what' you say? Ollie, you're dipping.

[01:07:17]I see you, bro.

[01:07:26]It's okay. I'm up I'm It's a bishop, but I'm up five material points.

[01:07:34]It's okay. Well, four. Yeah, cuz my palm is hanging.

[01:07:42]But it's still okay.

[01:08:24]Yeah, I don't I kind of want to keep my queen on the dark squares though cuz I don't have as much freedom. If my king's if my queen is on C2, I can't attack your king at all.

[01:09:08]This is frustrating that I don't have a checkmate boom.

[01:10:04]Um, bro, what the f?

[01:10:11]Why don't I have a checkmate, bro?

[01:10:24]Maybe I go here.

[01:10:36]Maybe go here.

[01:10:47]Oh my gosh. My queen is hanging. But it's okay.

[01:10:52]It's okay.

[01:10:54]It's okay. There's no time left.

[01:10:58]Yeah.

[01:11:02]Are you going to play again?

[01:11:08]I had 10 minutes.

[01:11:12]Yeah. Send me a match, bro. Way more fun than playing against kid, bro. That kid is way too good at chess.

[01:11:42]Yeah. Unrated, bro. I would lose like my whole life of rating points if I lost.

[01:11:52]>> Yeah, mine is cooked, too. But it would be even more it would be even more cooked if I if I lost.

[01:12:02]I'm playing black again. Should I play D4 or C6 or or or G6? Kings Indian Carlan or D5?

[01:12:15]>> G6. Kings Indian.

[01:12:21]Well, some people play F6 first in Kings Indian, but >> Knight F6, not not pawn F6. Um, but regardless, I'm still going to play D5.

[01:12:47]What's your opening repertoire?

[01:12:55]Okay.

[01:13:00]So, what's your opening repertoire? What are your favorite openings?

[01:13:10]>> I don't know what the opening that you're playing is called.

[01:13:24]It's terrible. I think the best thing you can do as a beginner to like get get higher rating is to learn a good opening and just spam that opening over and over and over again. It'll take you to like 1,400, but past 1,400 you actually need to know more than just opening prep.

[01:13:54]Um, that's my rating on chess.com. But yeah, >> who is it? His kid on the internet.

[01:14:05]>> Bro, get this kid out of here. He's going to request to play a game of chess.

[01:14:14]I'm playing against Ollie Goo.

[01:14:23]>> Yeah, he's tough.

[01:14:29]>> Ali, I know him.

[01:14:55]It's AI.

[01:15:06]>> Yes. Do it.

[01:15:22]What the [ __ ] Am I going to move my bishop to D7?

[01:16:04]>> It makes sense.

[01:16:14]I don't know, bro. You need to lock in.

[01:16:16]You have finals, kid.

[01:16:21]You are you done with school?

[01:16:24]Final exam. Yeah.

[01:16:32]>> Oh, that's good.

[01:16:35]Cuz he has talent.

[01:16:40]Cuz he has talent.

[01:16:46]>> Yes. Talent beats hard work.

[01:16:58]Hard talent beats hard work.

[01:17:14]Take take his pawn. Take the pawn.

[01:17:51]That's a good idea.

[01:18:03]Oh no, I just blundered.

[01:18:08]No, if my king was on a dark square maybe, but cuz you could have some revealed check or something, but you don't.

[01:18:28]My next move is D2 is rook D2.

[01:18:41]Yes, you did.

[01:18:49]>> This only wins a pawn though. You could It's not even Why is that even a blunder?

[01:19:08]It's It's not that bad of a move. Wait, let me see.

[01:19:24]It's Bro, what's up with the tactics, bro? I thought this should have some good tactics, but I don't.

[01:19:46]Takes. Takes. Takes. takes. Yeah, that would be like really bad. Maybe I'll play definitely don't want to trade queens, bro.

[01:20:06]Wouldn't be bad for me. It's just I want to attack and it's harder for me to attack. I If I trade queens right now, I'll definitely win, but it would be a boring game. I'll convert the end game.

[01:20:24]>> Jackass could be good practice. Fine.

[01:20:26]I'll trade queens.

[01:20:36]It's actually a mistake. This move is actually a mistake, but it's fine.

[01:20:41]Yeah, you could have played bishop C3 and it forks my rook and pawn.

[01:21:34]C8 doesn't do anything though. I'm just going to play G7 and I want my king off the back rank anyways.

[01:21:41]Well, it's not stupid. You could play C8.

[01:21:46]>> Yeah, play C8.

[01:21:58]>> King.

[01:22:07]>> Wait. Hello.

[01:22:10]This is I'm threat I'm threatening mate and two if if you play a certain move.

[01:22:19]Go to E2.

[01:22:21]Go to E2. Ali I would bro the game is over.

[01:22:37]>> It's checkmate.

[01:22:42]Bro, if you went if you if if you went to G2, it wasn't checkmate.

[01:22:51]>> E2 is the only checkmate.

[01:22:57]>> All right, accept the rematch.

[01:23:06]Sicilian. Are you playing a Sicilian, bro?

[01:23:11]Sicilian is an anti-roy Lopez opening, but I'll still play Roy Lopez. Yo, should I should I play uh bishop A4? Oi.

[01:23:23]>> Yeah. Is that a good move?

[01:23:29]>> No. It traps it traps my it traps my bishop.

[01:23:44]No, no. I want to keep my pieces on the board.

[01:23:53]I've moved my bishop. I've moved my bishop three times.

[01:24:02]I've moved my bishop three times in the opening. Is that good?

[01:24:37]Brother, brother, are you listening?

[01:24:45]I guess I have no other move, bro.

[01:25:07]No, I'm not going to go E5.

[01:25:18]>> No. No, it's not true.

[01:25:24]No, no, it's not true.

[01:25:49]How did that happen?

[01:26:31]Night is saucer.

[01:26:35]86, bro. How is this not checkmate somewhere?

[01:27:08]Dude, this is insanity. How do I not have a checkmate anywhere, bro?

[01:27:14]Where did all my pieces go? If I had a queen, your king would be done.

[01:27:21]>> Yeah, you do have a winning position.

[01:27:28]Yes.

[01:27:53]Beep beep beep beep beep beep beep beep beep beep beep beep.

[01:28:09]I have a I have a pass.

[01:28:26]Yes, please.

[01:28:50]All >> right.

[01:29:14]I should have taken his knight.

[01:29:17]I thought I had the I thought I had an attack, but not really.

[01:29:25]>> Yeah, I'm down. Oh, no. I guess it's even.

[01:29:35]It's even. So, I have to figure out Why are your pawns all on light squares, bro? How did that happen?

[01:29:54]Yeah, I'm sorry. I have to sacrifice the pawn.

[01:30:09]Move your seat belt.

[01:30:47]Yes, very sensitive position. I'm going to win because I know you're going to make a mistake.

[01:31:00]Knight who for knight B4 that loses a pawn.

[01:31:19]Let me see.

[01:31:32]>> No, it's not. Why is it a blender?

[01:32:00]King C6.

[01:32:11]This is very dangerous for me.

[01:32:26]>> Oh, that's your only that's your only bad move, bro.

[01:32:40]It allows me to escape. My It's the only move where my knight escapes.

[01:32:46]It's the only move where my knight escapes.

[01:32:50]My knight was trapped otherwise, but I'm trying to see if I have any tactics. It doesn't really look like it.

[01:33:12]>> My knight is still almost trapped, but it's a little bit better.

[01:33:44]It's really easy.

[01:33:56]No. Yeah, bishop B3 is the best move.

[01:34:27]This is a very tense position.

[01:34:52]Mhm.

[01:34:58]If you take what the What is this?

[01:35:42]We should be good.

[01:36:21]Bro, why is this position the way that it is?

[01:36:26]Wait a minute.

[01:36:55]Yeah. Well, too bad on Magnus Carlson.

[01:37:02]No, I actually don't don't know what to play.

[01:37:30]Yeah, knight versus knight sucks though.

[01:37:51]Yeah. Yeah, I know.

[01:38:06]Yeah, I have nothing. I was thinking that I would have some crazy some crazy move.

[01:38:30]It's a draw, bro.

[01:38:34]It's a draw. Yes, it is.

[01:38:54]>> It's a draw.

[01:38:57]It's a draw, bro.

[01:39:09]>> Okay. Now, now it's not a Now it's not a Now it's not a draw anymore.

[01:39:35]No, the game's over.

[01:39:56]Okay, the game's over.

[01:40:07]>> You can't take. You can't take. If you take, the game's over. Your knight won't be able to catch my pawn.

[01:40:31]brother.

[01:40:45]It's They're hanging in there almost.

[01:41:22]This is making me >> Oh my gosh. stalemate. No way, bro.

[01:41:50]>> Wait, steal me.

[01:42:05]>> All right, good. No, this is It's over.

[01:42:08]The game is over.

[01:42:19]Ah, >> it's a he's going to try to stalemate that way.

[01:42:39]C7 D6. King D6 C6.

[01:43:11]Almost just blundered. I almost just blundered my queen.

[01:43:22]>> Why is it game? Bro, where is my bro?

[01:43:28]Bro, >> bro, why am I getting requested by a 2473?

[01:43:42]I don't know. It's probably someone from chess.

[01:43:55]>> All right, three minute game. Wait, I'm playing three minute against this kid. I don't know if it's rated or not.

[01:44:27]bro. All right, dude. I obviously didn't mean to do that. Um, I wanted a castle, but whatever.

[01:44:36]Yeah, except What was that? Why did it blunder my king like that?

[01:44:44]Hold on. I'm playing against this 2400.

[01:44:47]He's playing at Kakan.

[01:44:55]Um in the chat.

[01:45:22]>> Oh no.

[01:45:28]>> Who is bo? Who is bedovven?

[01:45:34]Who is bedovven, bro? What are you talking about?

[01:45:41]Bedoven.

[01:45:45]Oh no, bro.

[01:45:53]>> Bro said >> Beethoven.

[01:46:07]All right, bro.

[01:46:25]I really like that. But I also think >> Yes.

[01:46:48]is my favorite.

[01:46:56]>> Hey yo. Hey yo.

[01:47:16]>> I don't know.

[01:47:26]All right. Wait, kid. Are you watching this game? I think I can trap his rook.

[01:47:41]>> After takes takes uh bishop C3.

[01:47:52]I only have a minute left on the clock.

[01:48:01]>> Wait. King D. Queen D3.

[01:48:14]I'm playing queen D3.

[01:48:21]>> Yeah.

[01:48:24]Oh.

[01:48:35]I only have 48 seconds though.

[01:49:03]How does this guy?

[01:49:37]I don't know, bro. That's a decision you're going to have to make.

[01:49:57]Oh crap.

[01:50:02]Um, bro, I'm out of time. Hello. Uh, it did checkmate.

[01:50:19]Bro, so annoying.

[01:50:25]All right. Yo, this kid, if you can hear me, um, kid on the internet, Dernus is about to send you a match. Play against him.

[01:50:44]All right.

[01:50:48]Rook E1 is bad, bro.

[01:51:06]Bro, I did not see bishop B4.

[01:51:09]That was a good move.

[01:51:13]Yeah. And but then I was just making mistakes. C1.

[01:51:19]>> Yeah, I should have played I should have played C5. Queen C5.

[01:51:27]No, I'm not. I'll watch it right now.

[01:51:31]>> Should I accept this kid's friend request? He has a 2400. So, all right, I need to I need to study.

[01:51:47]Let me pull up the game. Let me put the game up here.

[01:51:53]I just spent an hour playing chess.

[01:51:57]It's okay.

[01:52:04]I can't use analysis. I can't have the eval bar while I'm watching you guys.

[01:52:12]Oh, yeah. I can. Oh, no. I can't.

[01:52:23]Yo, Darnus, why are you 1461?

[01:52:28]What happened to your rating?

[01:53:06]Nah, he sucks.

[01:53:14]Okay, so we're given a two dimensional infinite square. Well, particle is defined to a square box.

[01:53:50]FN, >> bro. Is it FN?

[01:54:00]>> My fault.

[01:54:12]Why don't they put it on your chest.com account? FN.

[01:54:36]I don't have the 19.

[01:55:41]Bro hates chess.

[01:55:46]Fisher.

[01:55:57]I know. I know.

[01:56:18]Chess >> Hold on, let me look.

[01:56:38]Um, this is a strange position, bro. Why can't I see evalbar, bro?

[01:57:00]You have to pay.

[01:57:04]Yeah, I think so.

[01:57:11]Well, you have to pay to get you you have to pay to see the engine moves like in general. Like all you can see now is the eval bar and analysis. You can't see like what the best move is.

[01:57:32]>> Yeah, I used to have paid account too, but This is a good No, that's good. Yeah, that's a good setup.

[01:58:11]He's going to go fight in the war.

[01:58:31]Bro, people don't use that word.

[01:58:35]Said I don't I don't like to use that word.

[01:58:39]It's a brain It's a brain rot word, bro.

[01:58:44]Yeah.

[01:59:04]I do not know the answer to this part.

[01:59:13]>> You beat him.

[01:59:22]What was uh seeing the analysis?

[01:59:32]Yeah, I saw that. But he played 85.7.

[01:59:37]That's pretty good. He played 77.1.

[01:59:40]That's pretty bad.

[01:59:44]Wait, was it a three minute though?

[01:59:46]>> It was a five minute.

[01:59:49]>> Yeah.

[02:00:03]>> No, he's not cheating.

[02:00:06]But he played in 1950 that game. If he was cheating, he would have play. He would have won.

[02:00:12]How you lose if you're cheating?

[02:00:16]>> What?

[02:00:22]>> Let me look at his games. The what method?

[02:00:27]Holo like from Bleach, bro. This guy is not a cheater. What are you talking about?

[02:00:44]>> He's played 634 games.

[02:00:58]>> Yeah, he's pretty good.

[02:01:02]Can't believe he beat me though.

[02:01:19]Oh, I did not know it was divided by L squ.

[02:01:28]When did it come out?

[02:01:34]>> Can they hear you in the stream now?

[02:01:42]Bro, kids already cancelled.

[02:01:47]>> Mhm.

[02:01:58]>> Hey yo Kid Dylan.

[02:02:27]Dylan.

[02:02:32]Do you post YouTube videos?

[02:02:36]>> I'm not talking to you.

[02:02:45]El Minor sent me a message on chess.com.

[02:03:02]It's the first message I've ever sent on chess.com.

[02:03:22]>> Bro, kid. Wait, what is your name on Instagram?

[02:03:30]Kid, bro, what happened to this kid?

[02:03:40]He changes his username every day.

[02:03:53]Oh no, bro. Kid, send me a DM on Instagram.

[02:04:09]>> I forgot what your at is.

[02:04:15]What' you say, Ollie?

[02:04:21]said, "Send me a DM on Instagram. I can't find your Instagram."

[02:04:29]Why do you change your username every day on every platform, bro? Comes in the in the in the YouTube chat. I have no idea who he is. I just know he's a moderator.

[02:04:45]I just guess >> it hasn't been kid for a long time now.

[02:04:54]It's Bro, his Why would Why is that your username on Instagram now, bro?

[02:05:12]>> I know. Oh, I see him.

[02:05:29]blue light filter.

[02:05:33]>> It's from my aura.

[02:05:37]What's funny? I'm serious.

[02:06:02]Oh no.

[02:06:19]Yeah, that's not Aura, buddy.

[02:06:26]That's not Aura, buddy.

[02:06:34]Um.

[02:06:36]Oh, I see.

[02:06:48]He's actually not lying.

[02:06:51]He's actually telling the truth, which is like the stupidest thing of all time.

[02:06:57]His name on Instagram, his His name on Instagram is just dumb, bro.

[02:07:05]Just Just use your real name. We already everyone already knows it.

[02:07:12]I've already called you it before. You know that I know it.

[02:07:21]>> Yeah, bro. I'm him.

[02:07:24]I know everything.

[02:07:33]Tell Olly Ghoulie of your name.

[02:07:51]Bro, on Twitter since Ollie's from like Azerbaijan, it always tells me it always tells me it always gives me a warning when I look at his profile.

[02:08:04]No, Ali.

[02:08:07]on Twitter.

[02:08:09]Mhm.

[02:08:11]I don't know.

[02:08:23]Yeah, I saw that. I saw people are camping out like a week in advance.

[02:08:30]How much is it?

[02:08:37]swatch. Yeah.

[02:08:41]Yeah.

[02:08:45]It's $300.

[02:08:49]There's no way.

[02:08:55]Maybe just to look at it.

[02:09:00]Bro, APS are really expensive.

[02:09:07]I don't know what swatch is.

[02:09:27]It's going to be This feels so good.

[02:10:54][ __ ] Should I do a a philosophy stream where I just like answer questions?

[02:11:39]Really?

[02:11:56]>> Is that true?

[02:12:06]to peaceful.

[02:12:19]>> Is that true?

[02:12:27]But we live in different countries.

[02:12:34]>> Yeah, different continents.

[02:12:39]>> Is that true, Ollie?

[02:13:08]Huh? Who was the first to go to space?

[02:13:10]You're talking about the United States.

[02:13:21]Who went to the moon first?

[02:13:40]No, it was uh Christopher Nolan actually.

[02:13:54]Really? Yeah, I actually think that's right.

[02:14:10]>> Neil Armstrong Yeah, he did. I heard about that.

[02:14:53]Oh, wait. I just realized I think these are the most serious conversation.

[02:15:39]Yeah, the classes are pretty quiet. Only the professor talks.

[02:15:44]Well, depending on if it's lecture or discussion.

[02:15:56]Do you guys miss your We're studying.

[02:16:46]Jesus.

[02:17:48]Maybe hold on.

[02:18:13]You just need to study harder. There's still this still the same stuff. It's pretty easy.

[02:18:20]>> Yeah, I think so.

[02:18:49]I already took him.

[02:18:55]>> No, it was pretty easy.

[02:19:19]Bro, Mike Honcho, pull up to the pull up to the voice chat the voice call, bro.

[02:19:27]He's my biggest OB.

[02:19:33]No. No. Oh, yeah. Spreading hate. Yes.

[02:19:36]My contra is my biggest a um everything. He's the reason that some countries don't have free speech because they don't want people like him speaking.

[02:19:57]I have no idea what his nationality is.

[02:20:10]It sounds Azerbaijani.

[02:20:50]Oh.

[02:21:06]Bro, bro, where did he go? What happened to George, bro? Yeah.

[02:21:21]No, I I don't think he's trolling.

[02:21:29]What's up, Malik?

[02:21:41]Bro, that was that's OG. That's a long time ago, bro.

[02:21:51]Bro, he was serious, bro.

[02:22:25]Yeah, you know he messaged everyone when he messaged Ali.

[02:22:48]Cristiano Ronaldo.

[02:22:52]No way.

[02:22:54]CR7 CR7.

[02:23:29]Who's not the go? CR7.

[02:23:32]You guys are both You guys are both stupid, bro. We all know who the goat is.

[02:23:43]No, I didn't. I never said that, bro. We all know who the We all know who the goat who We all know who the goat is, bro. Don't play around.

[02:23:56]No, it's Pelle, bro.

[02:24:00]There's no There's no It's not even a competition.

[02:24:03]Zero zero difficulty.

[02:24:44]Yeah, because it's so tough. They They banned it.

[02:24:49]They banned it. They were like, "It's just too He's just too good.

[02:25:01]>> It's his kids.

[02:25:06]There's no way his manager is alive, bro.

[02:25:12]Yeah, his manager was older than he is.

[02:25:14]He lived to like 90 years old, bro.

[02:25:39]My honcho is banned.

[02:25:45]He ain't Wikipedia. Go ask Chad GPT.

[02:25:50]Um, yeah. I've I have no idea what this this book is. Anyways, someone in chat, the kid my was was responding to. I don't know what book that is, so I can't comment.

[02:26:12]What's a what?

[02:26:16]>> Mike Honcho. It's someone's s. It's his surname.

[02:26:23]It's a Azerbaijani surname.

[02:26:30]You said You said you're watching Lemaul win the playoffs. Is that what you're saying?

[02:26:36]Is that what you're saying? Just making sure that that's what you're saying.

[02:26:43]Um, oh, NBA. Uh, no, I don't watch the NBA.

[02:26:52]I heard uh I heard LeBron I heard LeBron is going to win with his son.

[02:27:10]Bro, SGA plays He doesn't play real basketball.

[02:27:15]>> Believe it's over two.

[02:27:18]Who looks like Aiden? He looks like Aaron. Aiden. Aiden Jerger.

[02:27:24]Yeah, he does kind of look like him.

[02:27:29]>> Yeah.

[02:27:37]Yeah, they need to use AI.

[02:27:54]Bro, where's the definition for >> ly?

[02:28:02]Oh no.

[02:28:14]Um, at 700 p.m.

[02:28:20]It's going to be pretty chill.

[02:28:23]At least if it's like the midterms. The midterms are really easy.

[02:28:49]You think I could have finished my degree quicker than I did?

[02:28:53]Is that what you're asking?

[02:28:56]Yeah, definitely. I definitely could have I could have done it in like two years I think if I really locked in.

[02:29:07]>> Yeah, bro. the plans to make a degree four years, they like make each semester easier and so you take it over four years instead of over a shorter period of time. But if you if you like cram all the classes, you could probably I mean the the most difficult part is the prerequisites. Like some classes you have to take in order and so you can't really speed that up. But I would say two years in one summer you I could have finished my degree if I really locked in. But I also got two minors. Like I took many more classes than I needed to.

[02:30:01]>> Yeah, that's good.

[02:30:13]Yeah.

[02:30:19]>> Yeah.

[02:30:31]>> Yeah. They just make it's like it's just much harder. Yeah, it's more com compact. Um it's the same with all PhDs in the UK. The PhD is three years and in the US it's like five to six years for PhD.

[02:30:45]Yeah.

[02:30:52]>> No, I'm finishing my undergrad. Neither of those two.

[02:30:57]Yeah.

[02:31:00]Bachelor's. Bachelor of Science.

[02:31:21]Fore speech.

[02:31:55]Master Yes.

[02:32:30]>> Uh, I remember is expensive.

[02:33:27]Imagine speaking English.

[02:33:58]second.

[02:34:54]I'm practicing.

[02:35:05]deserve.

[02:35:47]That's Wait, what school is this for?

[02:36:08]>> Oh, ETH. Yeah, that's a good school.

[02:36:46]Wait, do you speak German, bro?

[02:37:06]You have to get >> It's like the AP in the United States.

[02:37:21]Yeah, except better.

[02:37:30]It's like advanced courses. It's like college level courses pretty much or university level courses.

[02:37:39]Yeah, A levels is harder than AP. Much better than AP.

[02:37:50]I think as much >> Well, only the United States has AP.

[02:38:16]But you guys don't have an equivalent.

[02:38:17]Like you don't have like advanced placement classes.

[02:38:22]Okay. There has to be, bro. There's So every single person is in the same class always.

[02:38:28]That's crazy.

[02:38:32]That doesn't make sense. Like is there are there students that are um higher level than the other students? Like they have harder classes >> in the same year.

[02:38:43]>> Yeah. In the same year. Yeah. That's crazy.

[02:39:36]Yeah. No, I know. Uh there's Well, they respect at my school, they respect the the courses. If you took like A levels or AP or something in high school, then you don't have to take the classes in university. And that's why some people graduate much faster. Like there was a kid that I met freshman year who graduated freshman year. He graduated after two semesters cuz he already he already got credit for all of the courses that he needed. Um but yeah, I mean I came in with zero units, that's why. So I had to take every single course for the first time, but if I came in with credits, I would have been better off. Yeah.

[02:40:27]Yeah. Do you have dual enrollment?

[02:40:34]>> But do you have uh do you have a dual enrollment where you can take classes at uni while you're still in high school?

[02:41:09]calculus.

[02:41:11]Mhm.

[02:41:21]Stokes theorem, divergence theorem, all that.

[02:41:34]>> Yeah. Or you could do it in a Well, you could do it in less than they have proficiency exams where they it's just one you take one exam and then you don't have to take anything else. You get credit for the course.

[02:41:50]It's crazy, bro.

[02:42:11]That makes sense.

[02:42:13]It's a different system or >> well you guys Portugal is not like in the United States and China and all these other countries their um focus is just on rigor like academic rigor. So the the higher level courses they have no upper bound on the higher level courses you can take. Like a freshman in high school could take senior level uh or graduate level courses if they're at that level. But Portugal, it seems like, is prioritizing industry or like professional experience over actual academic rigor. Like in in in the United States, they don't prepare you for the real world or anything. You would have to go to a separate institution to do that, like a trade school or something.

[02:43:06]Mhm.

[02:43:11]Mhm.

[02:43:24]>> Uh yeah. Third. Well, I took it second year.

[02:43:55]Mhm.

[02:43:57]I think Yeah. No, A levels is really good if you want like thorough understanding. Everyone that I know that's done really well, got high marks in A levels is has really is really competent in all the subjects that they took the A levels in. But if you want like just to speedrun college and you want want to graduate as quickly as possible, I think dual enrollment is is faster and much easier. University courses are much easier than A levels.

[02:44:24]Like when I took calc 1, calc 2, calc 3, it was over three separate semesters and it is much easier than A levels. Much easier.

[02:44:40]>> Yeah.

[02:44:43]Mhm.

[02:44:53]Uh the what problem?

[02:45:01]>> Oh, yes. Yeah.

[02:45:17]That's the best.

[02:45:38]Yeah, it's uh Yeah, it's really good.

[02:45:43]All the Yeah, that's why I said all the kids that I know that took A levels are really really strong. Um, wait. So, which schools are you applying to?

[02:46:32]Um, Jack ST ceremony. Yeah, that's what Okay, like at the beginning that's what I thought, but the answer is actually yes. um because alpha ends up being zero um from part E or part C it's like uh they say or part B they say alpha equals zero so this implies that the commutator equals zero so they do commute and then that makes D yes which is really strange that's why I didn't get it at at all. I don't get how the alpha equals zero. It doesn't make any sense.

[02:47:21]No, he's like 14.

[02:47:24]No.

[02:47:55]Yeah.

[02:48:04]>> Okay.

[02:48:16]Texas.

[02:48:26]>> Bro, are you going over every topic?

[02:48:28]Why? Just tell me the courses.

[02:48:35]Like what's the name of the course on your transcript?

[02:48:51]>> Yeah, but he's going over all topics for all four years. It's going to take forever.

[02:48:59]Here, I'll tell you what I took in high school and then you can make your judgment. So, freshman year, I took algebra 2 and pre-calculus at the same time. We don't have to take trigonometry, although I studied it over the summer after my freshman year. Sophomore year, I took AP calculus AB, which is calculus 1. And then, uh, junior year, I took AP Statistics.

[02:49:28]Uh and then senior year I took AP calculus BC which is calc 2 or calc 1 and calc 2 kind of.

[02:49:40]I took geometry in in in grade in uh grade school before high school.

[02:49:51]>> Yeah. We select I selected all my courses. I chose them.

[02:49:57]Mhm.

[02:50:16]>> I didn't even consider a match bach a math bachelor's really. I was I was concerned with engineering. Um, and so I wanted something engineering which is inherently applied. So I do like math though. I but I didn't figure out that I liked math until after I got to university. And I do like theory math as well. That's why I was going to take real analysis.

[02:51:22]Do you do you know what like what are do you know what job you want in the future what you're interested in?

[02:51:33]I see. Yeah. Then do a I mean you could do math or physics. Um well, it's probably easier to go into engineering if you do physics, but you also do math.

[02:51:53]Yeah, of course you can do masters in whatever you want.

[02:51:59]I know people that are that do ma masters in engineering after doing undergraduate in uh in like art or history.

[02:52:34]Yeah, that's like physics one and physics 2, which is what I took in high school. Yeah, it's pretty chill. That's good, though. It's pretty rigor rigorous.

[02:52:51]Yeah, it sound it's like my sister's my sister's physics program is like really really difficult. She literally was doing physics that I did in university and she's in high school.

[02:53:12]use um I forgot what textbook I think it's in the discord though.

[02:53:19]Uh Stewart. Yeah, I think so. Is that transcendentals?

[02:53:28]>> Yeah. Yeah, that one.

[02:53:32]Yeah, it's fire.

[02:53:34]Um but yeah, Malik, you can do a you can do a engineering masters after pretty much any undergraduate degree as long as you have uh the requirements, but it might be more difficult to go into to transition into engineering depending on your math course. If your math course is heavily theory, the math will carry over and it will still be the same math, but it might be just harder conceptually to like tackle applied problems. But, um, I mean, I know kids that double major, a lot of kids, I think math is the most common double major among, uh, engineering students at my school.

[02:55:54]Uh, not Really, it depends. It depends on how how in-depth you go into it, though. There are some classes that go really deep and are difficult. But yeah, that's intro. That's intro stuff.

[02:56:15]Photoelectric effect is in like every class though. It's in physics one, physics 2, and uh and chemistry.

[02:56:32]Um, you said what? Sorry. Say it again.

[02:56:46]For what? You know, say the whole question again. I was I was reading something.

[02:56:59]Uh yeah, classical mechanics is probably going to be the the like precursor to all other courses.

[02:57:14]Yeah, that's the book that I read. I'm pretty sure David Morren. Let me pull it up.

[02:57:44]Wait, maybe I didn't read that book.

[02:57:46]Hold on.

[02:57:52]Morin, you said.

[02:57:58]Wait, I think Morin actually I read for special relativity.

[02:58:08]Is this the textbook?

[02:58:22]Yeah, Morin. I read him for special relativity, not for classical mechanics.

[02:58:26]His book for special relativity was good.

[02:58:31]Um, yeah, I mean, classical mechanics should be a breeze. You don't need anything to learn classical mechanics. All you need is actually you don't need anything. You could learn classical mechanics without any without even taking calculus.

[02:58:53]It you I mean it could be hard to well okay actually it depends on how deep you go into classical mechanics. Let me see this textbook.

[02:59:08]Yeah, it depends on uh yeah, like chapter one and chapter 2 you wouldn't need calculus at all.

[02:59:22]>> Yeah, oscillations you still might not need.

[02:59:27]Okay, the thing is like calculus is used to derive to derive all of this stuff, but you really don't need the calculus to solve the problems. Like if you're given a problem, as long as you have the final form of the equations, you can solve them without using any calculus or anything. Um, but it depends on the problems that are given to you because you can actually make the most introductory problems heavily calculus if you keep them like pretty abstract.

[02:59:55]So it depends like at my university the the intro classical mechanics course you literally like it's not a requirement to take calculus before it. You can take you can take the class without having taken calculus before.

[03:00:15]>> Yeah, the dur the derivations but this stuff is pretty easy. Yeah.

[03:00:29]>> Uh physics but I am also doing computer science.

[03:00:33]Yeah.

[03:00:39]>> Yeah.

[03:00:40]Mhm.

[03:00:43]>> Yeah.

[03:00:46]Uh differential equations.

[03:00:50]But that's it for the requirements.

[03:00:54]No, no, no, no. Differential equations is after calculus.

[03:00:58]It's a it's like it's like calculus 4.

[03:01:05]Yeah.

[03:01:09]>> Well, it's not it's not necessary. It's not even Some people say it's not even a real branch of math because you're just solving equations using like different areas of math to solve those equations.

[03:01:22]It's not really like new math. It's just the studying of problems.

[03:01:30]>> Yeah.

[03:01:32]That makes sense. That's what we have too. Physics one, physics 2 in high school in university. Oh, well that may that also makes sense. Yeah. Yeah.

[03:01:55]Yeah. That's what I mean though. That's why I'm saying differential equations is not really its own branch of math. It's rather just a combination of different branches of math to solve specific questions. Like it's not Yeah, it's in the college of engineering.

[03:02:19]It's just physics, but it's in the college of engineering. There's two different physics courses at my school.

[03:02:25]uh one is in the liberal arts and sciences and the other one uh is in engineering.

[03:02:43]Yeah, single order differential equations is like pretty much every question ever.

[03:02:49]Like every every every equation is pretty much a differential equation.

[03:02:54]or at least in physics like F= MA is a is a differential equation.

[03:03:08]>> What computer science?

[03:03:11]No.

[03:03:14]Uh I don't think so. No, I think it's pretty easy. Most of the stuff that I'm doing, um, kids in like India, China, and some kids in the UK have already done it all in high school.

[03:03:34]>> Yeah. Credits. Credits is just how much you get for each course. The more credits, usually, the harder the course is.

[03:03:43]At my school, they say three credits is about 15 hours a week of work. So, each credit is 5 hours a week of work.

[03:04:12]Yeah, that's fire, bro. If you could finish all of math, bachelor in high school, well, you should try to get the degree as well, cuz no one really cares unless you have the degree.

[03:04:26]>> What is what?

[03:04:28]>> ECT.

[03:04:31]>> I don't know.

[03:04:39]What? There's no way you have to take 42 classes in math.

[03:04:44]This is way too many. Could be 40 credits.

[03:04:49]42 credits.

[03:04:59]credits.

[03:05:04]Um, yeah, I am kind of I'm going to be busy after my finals, but um I should be able to stream again one day when I'm studying something.

[03:05:21]Uh, AI, it's going to all be stuff in AI.

[03:05:31]I'll look at it every once in a while. I have a bunch of physics books, although I've read most of them, so I don't know.

[03:05:39]I'd have to buy new books in order to study physics again. But we'll see.

[03:05:52]I I was I was contemplating group theory, but I think if I went and studied another math subject, it would be real analysis first and then group theory.

[03:06:44]What's up, Jordan Abe? Um, so if each course is 15 hours a week, then five courses 75 hours. I It's true. Um, but not every course is 15 hours a week.

[03:06:57]That's just general for like engineering or physics courses or math courses. Um, like if you take a general education requirement, you're probably only going to spend like 3 hours a week working on that course because it's just it's just simply easier than than the engineering courses. But for actual real technical courses, it's typically around 15 hours a week for three credits. The hardest course? Do you mean like the individual course or the the program?

[03:07:32]>> Um, typically physics, computer science, um, engine well yeah electrical engineering, aerospace.

[03:07:49]Maybe people think aerospace is hard, but I don't think aerospace is hard.

[03:08:13]ChatBT says in the US what's considered to be the hardest is chemical engineering, electrical engineering, physics, mathematics, aerospace engineering, architecture, computer science, biomed engineering, chemistry and and nursing. Pardon?

[03:08:34]Yeah. Number one was chemical engineering. It says Yeah. Chemistry is hard.

[03:08:52]Premed is hard.

[03:08:58]Yeah. Okay.

[03:09:02]Yeah, I see it, bro.

[03:09:11]Yeah, you definitely can, bro. You have good Do you have good marks?

[03:10:00]Is that the highest?

[03:10:27]Yeah, it's good.

[03:10:34]Uh, three out of what though?

[03:10:38]Out of four.

[03:10:40]Three out of four is not that good. No.

[03:10:49]>> Yeah. In the US 3.0 GPA. Many people have that.

[03:11:18]Only four points.

[03:11:31]That's pretty good.

[03:12:20]How much is 100% 20?

[03:12:36]80% 80% 3.33.

[03:12:48]Yeah, the US is inflated. So, I would say like if if you want to go to top uni in the United States, you would have a GPA of 4.0.

[03:13:10]Yeah, with AP you can go up to uh 4.33.

[03:13:17]the an A is like a 94%. So, uh 4.0 is 94% average and then 4.33 would be uh A+ which is uh 97 to 100%.

[03:13:39]Mhm. And the courses are easy here.

[03:13:43]It's very common for kids to have really high GPA.

[03:13:50]Yeah, it's easy.

[03:13:54]Yeah, it's not Maybe I should include the homework as well.

[03:14:47]85 out of 100.

[03:14:50]That's not bad.

[03:14:53]Well, it depends on how hard the course is. In university, 85 out of 100 on an engineering course is decent. Like, that's pretty that's pretty okay. Um, but in high school in the United States, 85 is kind of low.

[03:15:12]But it depends on where you want to go to school in the US. But it's not you're not going to be compared to kids from the US because you're on a different school system. They'll compare you to other kids in Portugal. So if you're good if you're a good student compared to your peers in Portugal, then you'll have a good chance of getting in.

[03:15:35]Yeah. in any university anywhere.

[03:15:42]A lot of the schools though only require only look at entrance exams like in uh in Asia and stuff. So you could also go to those schools and it doesn't matter what your high school marks were as long as you do well on the entrance exams.

[03:16:02]But you're also a sophomore, so you have like a ton of time.

[03:16:09]What do you mean?

[03:16:16]>> Yeah.

[03:16:56]Yeah, it is heavily inflated.

[03:17:05]No, getting a 4.0 is not that crazy.

[03:17:10]Um, do you sleep less than 6 hours? No, pretty much never. Do you actually do AI research in what sense? Yes, I do. Um, 3.7 GPA in India for the course that good? I have no idea. I'm I'm not from India.

[03:17:27]I don't know about India.

[03:17:32]Um but I'm going to go back to this uh studying a little bit to actually focus a little bit.

[03:17:41]All right, bro. Peace out.

[03:17:46]Um, all right. Let's see. Uh, let's see what Claude cooks up for me. Hopefully, it should be able to make me a uh Let's see what it makes me.

[03:18:57]Oh, Claude's going to convert it to P ph PH to PDF. Are you Indian? No, I'm Africanamean.

[03:19:04]Well, I'm I'm American, but like my nationality is American, but my ethnicity, I believe, is African-American.

[03:19:16]I hope we practice chess until our next rematch. Me too, bro. Good luck.

[03:19:22]Would you say IB is the education hardest system? I don't think it's the hardest. A levels and IB are pretty close. So, but there's no such thing as the hardest. It depends on who your instructor is and depends on the unit, the the school you go to.

[03:19:46]Like they say uh at Harvard they say Harvard like at math 55 or whatever is the hardest course there. Um but math 55 in my school is not that difficult requires the most mandatory work. Well, AP is like heavily dependent on who your professor is. I know people who took APs with professors that are terrible or not terrible, but were really really uh difficult.

[03:20:21]So, AP is a a wide spectrum of different courses, but the requirements for AP is zero. There's no requirements for AP course. Um, you don't even have to take the AP course. You just have to take the AP exam. It's just a single single exam.

[03:20:36]And the exams are relatively easy and the marks on them are relatively low, right? I think you need like 70% to to get full credit on an AP exam or something on the calculus one.

[03:20:50]And the calculus AP exam was pretty straightforward.

[03:20:59]Bro, can Claude hurry up and give me my equation sheet?

[03:21:09]For example, some people take four AP levels and and like four hardest, which makes it harder than IB. Yeah, I think it's relative to the student, the school they go to, the course they take.

[03:21:34]It's including the exa the entire question the exire in the entire exam previous exam. It's funny you can see how uh how correct it is.

[03:21:54]I'll put his two pages.

[03:21:59]Let's see.

[03:22:02]Holy crap.

[03:22:06]Yo, there's no way I'm be able to read this on the exam, bro. That is insane.

[03:22:13]Oh my goodness. Yo, that is packed.

[03:22:22]Wait, let me get the latac so that I can open it and overleaf. All right, let's read this equation sheet.

[03:23:01]Posulates inner product. It's easy observable hermesian expectation born rule time dependent shortinger equation time independent dagger. Yep.

[03:23:20]Act on E. Yeah, this is the exact question.

[03:23:25]Uncertainty earn her earn fastest.

[03:23:32]Yeah, the commutator identities.

[03:23:41]Yep.

[03:23:43]These are all commutators.

[03:23:54]I'm seeing if this will have anything that I would need that is not on it.

[03:24:02]But it's going to take me a while to read through this whole thing.

[03:24:14]Planter stum.

[03:24:27]Yep.

[03:24:29]2D box. Um, square degenerate non- degenerate. That's crazy. It has everything, bro.

[03:24:40]Finite square. Well, oh, I forgot about this.

[03:24:48]I should redo this question.

[03:24:51]I forgot when that was. That question sucked.

[03:24:57]How did it? That's crazy that it pulled that up. That's an old question. That was like homework three. Maybe that question was fun though. Yes. Here.

[03:25:12]Right here. Cotan z= minus z knot. Yeah.

[03:25:17]Z over z ^2 - 1. That's crazy that claude found this question.

[03:25:24]Gri is 2.29. 29.

[03:25:30]Yeah, I remember this question.

[03:25:40]Wow.

[03:26:01]I should redo that question.

[03:26:05]So, it's homework three.

[03:26:11]Okay, I should I'm going to redo that question.

[03:26:23]free particle wave packet. Yeah, it's pretty straightforward.

[03:26:38]A step function.

[03:26:43]Simple harmonic oscillator.

[03:26:46]Straightforward.

[03:27:05]Yeah. the rotation or the cyclical property.

[03:27:11]Okay, let's see if it has everything.

[03:27:16]Yeah, the igen values of L squ and LZ.

[03:27:22]Yeah, it even has this operator. Dude, this is crazy because this was not in the it's not it's actually not in the textbook. What you have to do is realize that uh momentum and spin uh validate or like follow the same conditions and they do define this for spin only. They don't define this for momentum but or for angular momentum but since they've they have the same conditions the equation simply maps over.

[03:27:56]It's hard to find even in the textbook, but it's here somewhere.

[03:28:12]Bro, like I can't even find it. Dude, this is so annoying cuz I know it's in the textbook and this has happened to me like five times where I haven't been able to find it, but I know it's in the textbook.

[03:28:24]I might be on the first page actually.

[03:28:27]Yeah, it's up here. Yeah. So, the ladder operator is for spin and you just swap L with S and it's the same exact equation for angular momentum natural log.

[03:28:44]I don't know what that is. Oh, in oh in lnm. So in this state we have this equals z this equals that. uncertainty equals this.

[03:28:54]Yeah, this is exam two spherical.

[03:28:59]Yeah, we really didn't do much problems with this, but yeah, parody L. N. Yeah. Ln cosine theta.

[03:29:16]Yeah.

[03:29:19]Okay. spin two-state systems.

[03:29:23]Yeah. Same algebra, same cyclical pattern.

[03:29:27]Half integer S gives these poly matrices exactly poly matrices follow this condition. The trace of the matrix is zero squared is I that's very important actually bases root 2x2 region tra that makes sense s this is uh the homework homework eight so homework 8 is when we first did sn and then it came back again in homework 10 uh when we wanted to do the um the measurements with uh Bob and Alice and Bob. But yeah, IGEN values plus H bar over two with these igen vectors cosine^ 2 theta sin^ squ you have probability of spin down and spin up equals 1. Of course uh Stern Gerlock Cascade this was um in the discussion I think it was discussion 13 or 12. No, it's discussion 12. Um, yeah, I recall this moment. I don't I didn't really do that.

[03:30:43]L more precision. Didn't do that really.

[03:30:46]Spin three halves.

[03:30:48]I don't know anything about spin three halves, but I guess it's on here. Time evvolution and conservation. Yeah, this is good. In stationary state, they're time independent. This is exam one pretty much. Probability current. So this is going to be the new material which is probably going to be on the exam. Probably current is actually difficult. Um it's a lot of calculus for some reason. You have to do divergence theorem and stuff.

[03:31:16]Central potentials and hydrogen. This is pretty straightforward.

[03:31:23]You have E1 upon N2 bore radius quantum numbers. Yeah. The generacy.

[03:31:31]Yeah. Rodriguez equations, ground states, circular orbits, R and R squ. Yep.

[03:31:41]Classical limits, hydrogenic Z protons. Yeah, the atomic number E approaches Z ^2 E reduced mass. That might be on the equ on the exam, but I doubt it actually.

[03:31:59]B field that's probably not going to be on there. That's probably not going to be on there. Identical particles definitely going to be on here. Uh so if they're distinguishable, we have this.

[03:32:09]If they're symmetric, we have this.

[03:32:11]Firmian's anti-ymmetric spatial crown spin. Yeah.

[03:32:19]S= 1/2 exchange forces entanglement. Bell's inequality, teleportation, 1D scattering, stem, delta barrier.

[03:32:49]Um, this is actually crazy that it has these on here. I thought I'd have to memorize them, but yeah.

[03:32:55]finite well generalized uncertainty matrix mechanics.

[03:33:02]Oh wow. Has uh the uh what are these called? Gaussian integrals.

[03:33:10]That's funny.

[03:33:16]Sign identities constants are not going to be useful at all.

[03:33:34]Yeah, this is basically exam one and exam two discussion 11.

[03:33:41]Okay, I'm going to remove the useful cont con constants remove the constant section to constant remove this entire section. Our overleaf is tweaking right now.

[03:34:36]It's fine. We can keep the constants. I mean, we have space.

[03:34:42]Yeah, this is a great equation sheet.

[03:34:46]Always cheats with this cheese.

[03:34:53]Get to see one in German in 8 months.

[03:34:56]Bro really wants to go to ETH.

[03:35:05]Just study hard. Bro, do not let my Koncha know about the Omega live streams, bro.

[03:35:18]The Omega incident.

[03:35:26]Didn't know you're from Iowa. Yeah, I'm from Iowa. I'm from Cedar Rapids, Iowa.

[03:35:32]Your professor will think you have issues with this cheat sheet. Oh, no.

[03:35:37]No. This is very normal, bro. There's kids equation sheets way are way crazier than this one, bro.

[03:35:44]Nah, bro. last semester in classical mechanics, even though that course was mad easy.

[03:35:56]Um, there was kids using crazy equation sheets. It was insane.

[03:36:04]Put like a whole textbook in an equation sheet. I've se I've seen that, too.

[03:36:09]I know people that have special pens and pencils that that are so fine point for them to use on equation sheets only.

[03:36:17]Like they don't use anything else other than equation sheets because the the writing is so fine. I also know people who use special printers that are able to accommodate such small text.

[03:36:35]Do you drink coffee? No, I don't.

[03:36:41]ETH is very good for physics. Yeah, it is. Are you graduating? Yeah, I am. What time is your final? 7:00 p.m. Oh, the final today. This is your last final.

[03:36:51]Yeah, it's my last final exam. Not my last final, though.

[03:37:00]From tips as someone who from someone who learned German. Yeah, that's true.

[03:37:04]Too bad I haven't learned German.

[03:37:06]Final's finally over. Lucky, bro. I'll be you very, very soon.

[03:37:19]All right, I'll be right back.

[03:37:51]Heat. Heat.

[03:41:36]Wait, how many Okay.

[03:42:52]You came back sad. No, I was researching something. Hold on. I'll be right back again.

[03:43:51]in regrets making you a moderator. Yeah.

[03:43:54]Worst decision of my entire life.

[03:45:13]Bro, chat, what are you guys what what are you guys on about, All right. So, I got to print this um equation sheet.

[03:45:23]I don't know. I'm probably going to end stream here pretty soon cuz I got to go to my exam. I mean, my exam's not for five more hours, but I should prepare for it. Um, so I we have a printer downstairs, but I'm also going to go to the union to print it because uh the printer downstairs really is not that strong. So, it might struggle a little bit with uh with the uh the small text.

[03:45:55]How many exams do you have? I only have one left.

[03:46:07]I do not use aderall on my contour line.

[03:46:11]My last final but not final exam. No, this is my last final exam but not last final. I have uh final projects and presentations. So, but no more no more exams after today which is the greatest news of all time.

[03:46:39]What was your favorite hairstyle? In my opinion, the braids. I'm about to get a haircut tomorrow. I'm going to go really short. Um, but my favorite hairstyle is probably the cornrows. Um, my favorite hairstyle to to like have on my head though, like not for looks, is short hair.

[03:47:00]The cornrows were are really high maintenance.

[03:48:09]Bro, wait. Why doesn't it have these?

[03:48:11]Maybe these should be on my equation sheet.

[03:48:34]Wait, why am I redoing this question though?

[03:48:45]I'm going to go I'm just going to go print this equation sheet downstairs.

[03:48:50]See if it works.

[03:49:27]Yeah, I'm about to go print this equation sheet.

[03:49:47]What template did you use for your website? I didn't use a template. I uh built it myself a long time ago.

[03:49:55]Uh need a piece of paper.

[03:50:14]Need a piece of printer paper.

[03:50:20]I have I have one singular piece of printer paper left.

[03:50:30]All right. All right. I'll be right back. I'm about to go uh print this.

[03:50:33]I'll be right back.

[03:52:09]Heat. Heat.

[03:57:26]Heat. Heat.

[04:08:06]All right, The printer ate my ate my paper. So, I'm ending stream. I got to go to the union um and print this. So, the union's actually like far from my apartment. But, I had one I had one singular piece of paper left and the printer jammed it and crumpled it and broke it.

[04:08:58]Um, but there was actually a piece of paper in the printer when I got there that was jammed already. So, I'm presuming that the printer has some problem and I'm not going to keep trying. And I also don't have any more paper to try with. I was going to I'd have to ask other people. But yeah, I'm going to go to the Ali Union and then I can also grab some some lunch while I'm there, too, cuz I don't have any food left. So, yeah, I'm going to end stream.

[04:09:28]I'm going to go print my equation sheet, uh, eat some lunch, and then go to my final.

[04:09:40]It's great. All right, I'll talk to you guys later.