TWITCH SOLVES ISL #3 ~ Keep Going ~
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I think it's on the list of things that you should learn eventually, but not necessarily right away. I think you can pick up calculus if you don't know it already, around, I would say, the same time that you're starting to pick up harmonic bundles, say, in
geometry. Around that time. Yeah, I think it can help. I don't know it's... At least learning some calculus properly gives you some intuition Even if you
might not formally use it in the solution, I think you get a bit out of thinking about it's the only time you really get to think about size and continuity at the same time For example Although for most US students it doesn't matter because the US students all
get forced to learn calculus anyways It's considered mandatory in the US And it doesn't exist elsewhere in the world There are a lot of countries where the word calculus doesn't exist, and people just learn real analysis. IMO 2007, 3 and 6, yeah. IMO 2007
was an interesting year. Where can I find solutions to your functional equations handout? I didn't write up solutions to that thing per se. A lot of the problems, yeah. Anything that has a source, you should be able to look up on AOPS.
And everything that isn't sourced, I don't... You can probably still search it up on AOPS, honestly. If how to... Yeah, if how to search. How do I turn on
lower video quality? I don't know if you can. I already changed it to 720p, which is about as low as I can go without making it bad. I don't know. I think the problem is that it's Saturday night, so because I don't pay Twitch money, they
only let me pick one video size. So, yeah, sorry. It's possible if enough people sign on the stream then something will change and then when you'll be able to do lower video sizes but I don't have a way to control that unfortunately until the stream gets big enough. Yeah at
least it's not 1080. I ran the first stream in 1080 and then like half the people just couldn't watch it. Can I do some Putnam problems? We'll consider. I'm still feeling out what the space of problems that work in this format is. Today I'm going to try to do some slightly harder
problems than before. Er det? Det er inget. Men... Jeg tror i dagslivet har jeg en G3, en N4, og en TST-problem. Så... Det er litt mer ambitiøs. Vi får se om det fungerar. Ja, på en viss måte kan jeg bare starte
å la ut behov for probleme, men... ... Jeg vet ikke. "Geo, så kan du kontrollere oss uten å tegna problemet?" Ja. Tredje gongen. Eller noe. Jeg vet inte. Det er to Geo i dag, så jeg håper det. Jeg vet inte. Jeg tror
think there's a few JMO problems in like 2012-13 that I haven't done Maybe I should do those eventually Is MMA still working on making JMO happen? jeez I have
no idea They've I've had a hard time getting in Getting through to them honestly They're I think they're like busy They're Okay it's 8 already Yeah On
the other hand, if Yusumo doesn't happen, then I will run my own mini Yusumo. Yeah. They are definitely getting a lot of those, including from me, so... Nice. Can you make an official announcement about running your own mini Yusumo? It depends on
what you mean by official. Not MAA official, for sure. I'm not authorized to do that. I will make a... Well, honestly, I'll probably run it even if the MAA doesn't cancel the..., some people have already heard about it. Ok, cool. Yeah, I'm still
working out all the details, but if you look on my website, there's already a page there saying that the event will happen. Yeah, but... Still working out the details, but there will be a use-mo. We're bringing it back. Are you doing only use-mo? Only use-mo, mainly because of grading concerns
right now, like... The reason I don't want to make it too big the first year is I'm afraid I'll get like 2000 papers and then I just won't be able to grade them. Like no matter how many volunteers I get. We're on your website. It's a new page. It went up like an hour ago. Yeah, so
I think they should just move it to summer. That would be nice. You see Mo. Even fall would be nice. Like it would just be nice if it happened at all. But I'm not optimistic. "But what was IMO?", it doesn't matter for the US because the US does its team selection so far ahead of time.
If we wanted to send a team, we could just take the first 4 TSD scores. We have those scores. "When did you think of UCMO?" Like, 4 days ago., I had it in my head about 4 days ago. For, I'm sorry, no. Like, for about a week. And then 4 days ago I was
like, "Maybe I should try to do this." So then I sent out some emails and then people were like, " yeah, that sounds like a good idea." So now it's on the website too, and I'm trying to see
if I can get someone to sponsor me so I don't have to pay prizes out of pocket. We'll see if it works. Update Moes on website, ugh. With like winter TST? Is that what I'm missing right now? Okay anyways, ... Alright, so.
Alright, here's the proposed lineup for today. I'm only putting up three problems. I don't think I'll even get through all three problems honestly. But we can give it a shot! Are you planning any future big updates to Napkin? I don't have any big Napkin
updates in store right now. Yeah, summer is a... I think it's possible I'll have a lot of time in the summer and then I might work on some stuff, but yeah. So, we have three problems today. If I somehow... I'm hoping I can get through at least the first two, we'll find out. If I can get through...
Depending on the timing, I might also play some Starcraft at the end, because someone asked me to stream some Starcraft. So, we'll see if that happens. Yeah, there's two Geo today. We'll see how this goes. Alright, so for those of you who haven't been here before, there's a Twitch chat and you guys are very invited to like,
well, one, help me solve the problems, but also, even more importantly, if I like draw the diagram incorrectly, which I did the last two streams, it'd be helpful if you let me know so I don't just stare at the wrong diagram
for the entire stream. Apparently when I'm on stream I can't read problems Which is embarrassing G3 is meh, N4 is meh, okay, maybe I didn't pick great bombs this time I don't know, I've been
meaning to do the N4 for like years Like I've seen that problem so many times and every time I'm like "I should do that someday" And then I never do Okay, so I have this parallelogram and it looks like I want to start by trying to draw it with symmetry
Like, I'm gonna first draw the triangle this way. I think based on what the problem says, that's how I want to begin. Okay, so there's A, and then there's a
variable line, G through A, which intersects raise BC and DC. So I need to extend these guys. Okay, so... Okay, that's the line G, I guess, and then... It's CB on
X, right? Did I extend them the wrong way already? Raise BC... Alright, what did I do? ABCD... Isn't bc through c not b? Yeah, I'm just confused now because I'm
like how am I going to get the line to intersect the rays the other way? Is that possible? Like I want g should be inside angle bad, okay. But even so, if I have the line inside the angle, how do I get
it to hit both lines? Is, okay, lol just vertical or something. I see, I can hit the sides and that's allowed, okay that's fine. For some reason I thought it was extension, . Ok, yeah, so I only need
to extend one, but that's fine. Ok, so let's see. CD is Y, this one is X. Man, I really thought this time I would read the problem correctly. This seems to be the hardest part.
Ok, and then I have to A, X, what the frick? Ok, ... Jeez, I did not plan this well. ABX and ADY? Ok, I did not plan this. Isn't that a glorified term for berry?
maybe. Ok, ok. Ugh, jeez. Alright, so I have one angle bisector... That's the other angle bisector, so we'll pretend these are equal, we'll pretend these are equal. And then... is
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