It is my belief that math and video game speed running have a lot in common. Both are studied by people who have a strange absurd level of dedication, and both have experts who manage to discover incredibly complex tricks, which are then relayed to the community, refined by others, and then used to pull off even more complex tricks. In this way, doing integrals reminds me a lot of doing glitches in video game speed runs.
@dantereinhardt6911
2 жыл бұрын
That is a fair comparison, and I really liked your video.
@jefferybenzos5879
2 жыл бұрын
Does this integral have an actual solution? I couldn't find anything online so I was starting to suspect that it's nonelementary but I'm not sure, also amazing video
@eigenchris
2 жыл бұрын
I didn't see a solution after a quick google, so if the solution is elementary it's probably pretty hard. I'm not sure if it is or not though.
@Daniel_VolumeDown
2 жыл бұрын
@@jefferybenzos5879 so I typed this integral in wolfram alpha and it shows solution in form.of series
@JosephStalin-yk2hd
2 жыл бұрын
Is there a rigorous proof of this specific integral?
@tiltltt
2 жыл бұрын
With one video you managed to recreate exactly how it feels to study math, congratulations.
@markojojic6223
8 ай бұрын
I honestly feel like only he has the sheer prowess to focus on this exactly like a radom bro gamer looking at 20-year old Futurama jokes.
@phitsf5475
2 жыл бұрын
All the Calculus fundamentals in 5 minutes or less. Amazing work.
@cykkm
2 жыл бұрын
Alas, that's too optimistic. Matrix glitches for some integral forms have not been discovered yet...
@signorellil
2 жыл бұрын
Wow. It began as a standard April's Fools joke and ended up as my own take of what could be the Calculus Version of the Legend of Zelda!
@mastershooter64
2 жыл бұрын
zelda calculus :)
@cykkm
2 жыл бұрын
@@mastershooter64 Yay!!! Kudos to Zelda Calculus!!! Love it!
@rickmcn1986
2 жыл бұрын
I spent so long trying to google Desmarais's theorem before the penny dropped.
@jackmccarthy7644
2 жыл бұрын
I love that at 1:46 the fake wikipedia article describes the whole rest of the video. Hilarious video.
@eigenchris
2 жыл бұрын
Thanks. I feel like a lot of my prep for this video was typing out fake text.
@jameeztherandomguy5418
Жыл бұрын
@@eigenchris "Redirected from 'Calculus-Induced Depression'" LMAO
@martiddy
Жыл бұрын
I didn't even know it was a fake article until I read your comment.
@RMGamer31O
11 ай бұрын
I also like the page at 3:09 about time paradoxes
@johnchessant3012
Жыл бұрын
as an integral connoisseur, I learned some new techniques in this video which I will be adding to my toolbox for when I engage in my hobby of creating horrific integrals for math stackexchange people to solve
@somebodyhere3160
Жыл бұрын
wait..... those integrals were created by you???????
@fragileomniscience7647
Жыл бұрын
Wow, Satan must be a huge fan of you
@poutineausyropderable7108
Жыл бұрын
When Chat GPT generates a solution.
@zestyorangez
Жыл бұрын
lmao
@VegaAltair-wj5tr
2 ай бұрын
lmao, true
@Aequorin628
11 ай бұрын
4:36 This would have been the PERFECT place to have said "and this was, of course, discovered by Ramanujan." It feels like he's always popping up in the most random places.
@GanerRL
Жыл бұрын
there's no way i actually looked up desmarais thinking that was a about to be a real trick 💀
@bantix9902
Жыл бұрын
same, he got me good
@stevenglowacki8576
Жыл бұрын
I knew about the squaring of the Gaussian, and it made sense that you started with something that was real. You really got me with the next few steps; I was a bit confused about how the Desmarnes or whatever theorem could possibly work, especially with the list of the adjoints, but I somewhat accepted that it was real along with the next step or two, because I thought you were intentionally using real, obscure, but ultimately unhelpful things to continually transform the integral into something more complex before going "I'll cover the rest in the next video". I was not expecting the turn that you went down. I also follow speedrunning a little bit, and I agree that there are many aspects of it that are very similar to advanced math and physics. I particularly like when people do deep dives into the video game physics in a way that treats it just like a math and physics problem in an alternate universe with different rules. Bismuth even gave a talk somewhere about how the problems solved in speedrunning were in some ways similar to problems in real physics, and they provided useful toy models for people to practice their analytical skills. I'm guessing you saw it, though that was after this video was published.
@eigenchris
Жыл бұрын
Yeah, that squaring-gaussian bit is basically the only non-lie in this video. I don't actually follow speed-running that closely, or know who Bismuth is, but I've watch a couple breakdowns of how certain glitches work, and many of them seem like things you'd need a PhD to come up with.
@stevenglowacki8576
Жыл бұрын
@@eigenchris Bismuth's talk was at "Big Techday 22" so searching for that with his name on youtube should lead you there quickly.
@yudanoh6822
Жыл бұрын
Even though it's writen joke video in the title, had me in the first half not gonna lie. Great video love all the Easter eggs (I could find), my favourite is the amount of equal signs in the code.
@Avighna
Жыл бұрын
I recognised the inverse square root algorithm haha
@bend.n
3 ай бұрын
never trust javascript
@BS-bd4xo
Жыл бұрын
Bro, the first half was so believable 😭
@narfwhals7843
2 жыл бұрын
I'm sorry if I'm missing something but why don't we just do a wrongwarp to page 251 and then load the corrupted save to put the solution into our inventory? Is the setup TAS only?
@eigenchris
2 жыл бұрын
That's a better approach in theory, but it's pretty precise. Only 4 people have managed to execute it without a TAS, and they each have at least 1000 hours of integration under their belts.
@eigenchris
Жыл бұрын
@@nicholasleclerc1583 Yeah, that was a big shame. I'd like to state that the eigenchris channel stands against cheating in all its forms. I hope Two learns from this and grows as a person.
@tomkerruish2982
2 жыл бұрын
It's good to be cautious of Ketter polynomials, considering that they are Keter-class SCPs.
@quantumhorizon7514
2 жыл бұрын
Can't you just Dumbledor transform the integral into a second order ODE involving hte Gandalf operator?
@eigenchris
2 жыл бұрын
The Dumbledore transform only works for harmonic functions, though.
@shufflecat3334
Жыл бұрын
I'm working on a particularly difficult math problem which has to be solved to get at an even more hard to acquire solution for a project I'm working on. This video pretty much sums up how I feel right about now.
@idaho_girl
Жыл бұрын
I'll have to check but this just might br the integral I've been needing for some of my physics research calculations!!! Thanks!
@mariofeds1101
8 ай бұрын
Im going into your joke videos as a highschool physics class and i gotta say you say some real funny words, i hope i understand them some day
@pdsm1552
6 ай бұрын
After a degree in physics and some self study in maths, nope still don’t understand most of it 🤷🏾♂️
@Saturos02
2 жыл бұрын
So I've been struggling with Gilgamesh all this time and you're telling me there's a skip?!
@chattava
2 жыл бұрын
Cheers Chris, awesome work as usual.
@dor00012
2 жыл бұрын
That escalated quickly
@voltmatrix1250
11 ай бұрын
I like your funny words, magic man
@Caspar__
Жыл бұрын
I was looking for the Desmarais theorem but I only found one about rings. Now I realized that the theorem doesn't even exist.
@tariq3erwa
2 жыл бұрын
And I thought I 've overcome my Integral anxiety, turns out there's more
@bantix9902
Жыл бұрын
The tutor in my physics exercise actually recommended your channel to me :)
@snah70
2 жыл бұрын
Haha, that was actually quite a good impression of Michael Penn's style. 🙂
@aidangarvey7049
Жыл бұрын
Damn even as someone who cleansed my mind of integration as soon as I finished the calc courses I needed, I got like 4 programming jokes out of this.
@orktv4673
2 жыл бұрын
This is the type of content I am subscribed for. I mean, besides the usual good math/physics content.
@Tekkerue
5 ай бұрын
This is the best calculus speed run tutorial I've ever seen. Thank you!
@artey6671
2 жыл бұрын
Well, that was cruel. You made me wish that Desmarais's theorem, adjoint functions and Baker-Nachbaur type are a thing. I guess even in mathematics, if things seem too good to be true, they probably are. I appreciate your creativity, though. You might need a few more = signs at 4:01, though. Six signs only check for equality, identity, memory address, system time and RNG seed, so someone with a different IP address might encounter a bug which you didn't catch.
@karolakkolo123
Жыл бұрын
Damn it, I really believed the Desmarais's theorem is a thing
@commentingchannel9776
Жыл бұрын
At 4:01 too, lovely reference to the Fast Inverse Square Root algorithm (first two lines)
@artey6671
Жыл бұрын
@@commentingchannel9776 We probably all watched Nemean's video, right?
@MochiClips
Жыл бұрын
Ah that was really good I'm glad that integral was integraled 💪💪 thank you gilgamesh
@user-yk7mp8yp8x
2 жыл бұрын
i have actually waited months for this video... literally every day for the past 2 weeks awaiting eigenchris april fools vid.
@ToriKo_
Жыл бұрын
Wow I love how far this video went off the deep end, after it already went off the deep end
@dancoroian1
11 ай бұрын
"...okay, and the ziggurat has appeared," so nonchalantly and almost *immediately* after beginning to focus on Aya, just killed me 🤣
@TheBuilder
2 жыл бұрын
Thank you 🙏🙏🙏
@manuc.260
Жыл бұрын
"there's actually another way to gain access" made me literally spit out my drink, thanks 🤣
@reformierteapologetik5166
2 жыл бұрын
This reminds me of some of my math lectures..
@homerthompson416
8 ай бұрын
I used Feynman's Leibniz rule to differentiate under the integral sign, and strangely enough the answer was one over the fine structure constant to first order.
@ritemolawbks8012
Жыл бұрын
Calc IV? That's violates the Geneva Convention.
@NoNameAtAll2
2 жыл бұрын
I was waiting for sudden warped spacetime glitches with a slight mix of quantum gravity, but simple buffer overflow might be okay too
@DeathGeco1000
2 жыл бұрын
Seeing the source code for the physics engine made me laugh.
@DeathGeco1000
2 жыл бұрын
...and we never saw the solution to the primary question...
@duck5332
Жыл бұрын
this channel is a gem stone
@Vkonto
2 жыл бұрын
@eigenchris can you make some videos on history of a certain concept in math or physics and it's evolution .. for example origin of calculus all the way starting from seeds of thought in ancient times
@eigenchris
2 жыл бұрын
Hi. I have an upcoming video on the history of modern cosmology that comes from general relativity. But overall my main interests are the actual math/physics concepts themselves and less on the history. For physics history videos, I'd recommend you check out the channel "Kathy Loves Physics & History". She has a cool playlist called "The Secret History of Electricity", among other things.
@hitoshiyamauchi
2 жыл бұрын
Wow. When I was a university student. I had a PC-88MA2. The memory map is a bit different from PC-88MA2, but I see one of the PC-88 machines. I still recall when I wanted to access the VRAM I use out c. First I need to change the stack pointer since when you change the memory bank you lose the stack pointer after xc000. (Probably no one knows what I am talking about.)
@jensphiliphohmann1876
Жыл бұрын
The last sentence is pretty hilarious. 😂
@rubixtheslime
2 жыл бұрын
Decided to try out the game, only problem is I don't have a computer, only a deck of Magic: the Gathering cards. Which we all know is identical to a Ryzen 3990X in computational abilities, but I forgot how to do it. So I just set up my deck to evaluate lambda calculus expressions, then made a lambda calculus expression to simulate a Turing machine. Though I'm not very good at Turing machines either so I then set up the Turing machine to simulate the game of life. From there I was able to make a redstone engine in life, which I am much more familiar with, so I was able to finally create a quad core CPU and an RTX graphics card, and the game's running very smoothly! I Was especially surprised at how much content there is, I'm hundreds of hours in and I just got to the "o" level on the loading screen!
@jatanff4699
11 ай бұрын
thanks a lot u really helped me solve it too
@hauntedmasc
2 жыл бұрын
this is wonderful
@dyachenkotimofey6682
2 жыл бұрын
I really look forward to it
@michaelzumpano7318
Жыл бұрын
That was brilliant!
@edwardlulofs444
2 жыл бұрын
Very good. Thanks.
@QuantenMagier
Жыл бұрын
This reminds me of how I helped a friend with her Analysis homework and I did a whole 2h detour with her to Pascal's triangle to find the 8th roots of unity before I found an easier 5min solution where you just had to calculate the absolute value.. xD
@QuantenMagier
Жыл бұрын
@@Batwam0 Well she thought she understood it and took some notes, but when she was home again to write down her homework she didn't understand her notes anymore.. xD
@anibalismaelfermandois6943
2 жыл бұрын
Love the evil bit hack reference
@FranciT98
2 жыл бұрын
I expected a shitpost, instead I got art. And developed a mild phobia of double integrals.
@estebantapia1225
2 жыл бұрын
I had to look if Desmarais Theorem was an actual thing haha
@artashesasoyan6272
2 жыл бұрын
U had me 💯👍😂 I was so focused to follow each step and then my brain was "wooooot" ? And than I had a brain short-circuit ⚡🧠⚡ 🤯
@satindra.r
Жыл бұрын
Hey I decided to try and recreate most of the King Gilgamesh battle, could you provide sources for the pictures of the ziggurat and the Mesopotamian landscape and what type of credits you would like, also in case you would like to try it please tell
@signorellil
2 жыл бұрын
I'm so stupid I've checked the Wikipedia for Desmarais Theorem!
@oskarjung6738
2 жыл бұрын
You are not stupid. You have just been used to some of the most use less theorems and identities that is there in existence, that you don't even question it anymore. Which means you are a battlehardened mathematician. And thus very smart.
@tomkerruish2982
2 жыл бұрын
If you freeze frame the video, you'll see that the theorem is a redirect from "Calculus-Induced Depression." ngl, I wondered about it myself.
@dynamicdingus7003
Жыл бұрын
Well this isn't helping. I have a final in 2 weeks for calc 2 and I still don't know wtf I'm doing with series cus I haven't done anything for that class since the last exam I took. I need a 90 or above on the final in order to get a C. Any advice on the best way to master series, or am I fucked and should just retake it during the summer and focus on engineering physics 2, cus I'm in the same situation with that class as well.
@venkadesansumathi4373
11 ай бұрын
That escalated too quickly...
@parthdeshpande2966
Жыл бұрын
Lmao you had us in the first half ngl till the squaring of the integral. Then you lost us.
@Boxland_
10 ай бұрын
Could you do a video where you explain what parallel universes has to do with backwards log jacobian?
@eigenchris
10 ай бұрын
I would if I knew the answer.
@notsojharedtroll23
2 жыл бұрын
Did not expect the Fast Inverse Square root on that JavaScript code
@eenayeah
Жыл бұрын
Brilliant
@eklhaft4531
Жыл бұрын
Just like a normal lesson in college I have absolutely no idea what's going on xDxD
@albertoreyabuelo2504
Жыл бұрын
Incredible applicatoon of Desmarais Theorem, but you forgot the +c in the integral to enter the temple. Eveyone shall pay for their sins in the afterlife...
@steffenbendel6031
Жыл бұрын
Alternatively you could try to resurrect Feynman and integrate under his grave.
@kingplunger6033
2 жыл бұрын
you had me for like the first minute or so ^^
@longsarith8106
2 жыл бұрын
Hello teacher, when you start your cosmology?
@eigenchris
2 жыл бұрын
Hopefully the first one will be posted by Monday. Just need to make a couple more edits to the 110a video.
@ayushsharma8804
5 ай бұрын
That code pic killed me
@sardarsaad4018
Жыл бұрын
i am in middle school. you have shown me a truly haunting world.
@davidcf7195
Жыл бұрын
bro this is tremendous
@studdiso
Жыл бұрын
I love the video
@mauricioachigar
Жыл бұрын
excelent!
@alexandersanchez9138
Жыл бұрын
Super excited for the next one (hopefully on April fools' day this year)!
@SNTz55
Жыл бұрын
Bro introduced doom to calculus 💀
@leyasep5919
Жыл бұрын
4:01 oh, you made me lol even more with the inverse FP square root trick...
@timeodaneosetdona
Ай бұрын
Solving an equation to gain access to a dungeon is giving me flashbacks to a dream I had the night before a Linear Algebra exam. In my dream, the only way I could go anywhere was to find the correct linear transformation of my personal position vector. I woke up exhausted but I did do well in the exam....
@lucianchauvin8587
Жыл бұрын
lmao the quake code
@crowbar_the_rogue
2 ай бұрын
"Some of you have probably spotted this is a perfect opportunity to use the Desmarais's theorem ..." Yeah ... sure ....
@omarelmaghat5050
2 жыл бұрын
I watched till the end.thanks.
@freezinfire
Жыл бұрын
Very nice
@alankuo5579
8 ай бұрын
Evaluating one hard integral is better than evaluating many simple integrals.
@angeld23
2 ай бұрын
4:02 the 2 lines of fisqrt at the top for no reason is sending me
@siquod
10 ай бұрын
I think there is a theorem stating an integral has an analytic solution if and only if it is wolfram integrable. But the free version is in permanent alpha, and paying for your integrals is poor sportsmanship.
@gilliamm.5732
Жыл бұрын
So funny! Well done!
@77thTrombone
11 ай бұрын
ROTFL, eigenDude. I would not have known about the G-skip, since (as memory serves,) my engineering-oriented curriculum went from Calc III to Differential Equations, and thence into Advanced Calc. I expect that R-ballery can accomplish the same topological shunt, as long as we can identify the necessary n-space to transform. This would more reliable, as your solution is dependent on game version. Stories of integrators finding themselves in various places _other than_ the textbook room are amply documented in Usenet. (Although the bidet incident remains controversial.)
@LukeAps
Жыл бұрын
I dont know math, and this was helarious.
@mp3lwgm
Жыл бұрын
WolframAlpha evaluated this integral as a series in less that 1/10 th of a second.
@xiaohuwang4173
Ай бұрын
Now I know how it feels to be an ordinary person sitting in a math class
@teqnify63
Жыл бұрын
“lawn”
@pra.
Жыл бұрын
I checked the internet for 5 minues for Desmarais despite reading the title
@nevokrien95
2 жыл бұрын
Give me more of these
@matkosmat8890
4 ай бұрын
Dang! I hadn't spotted the monotonic function!
@MynameisS_A
8 ай бұрын
4:01 As a programmer, the comments in the code had me dying. 😂😂
@mitchellschoenbrun
5 ай бұрын
I did see the text "(joke video)" but even so you had me going for a while. I thought you were serious about solving the integral. It all seemed serious until 1:39 where the Desmarais's theorem is introduced. I have no doubt that it is a real thereom. I was taken aback by the statement that the theorem was part of a Calculus 2 class if you just go back a couple of decades. Since I've been familar with Calc 2 for more than 50 years and have never run into to, I'm wondering if that is just part of the joke or I just somehow missed it.
@eigenchris
5 ай бұрын
Everything in this video is made up, except the Gaussian integral at the start. I guess my monotone delivery lends credibility to what I'm saying even though it's all fake.
@mitchellschoenbrun
5 ай бұрын
@@eigenchris You are quite right. You must wield this super power judiciously.
@epikherolol8189
2 ай бұрын
Me 17: Yes i totally understood everything 😢
@devoidsloth
8 ай бұрын
The scary part Is I have so little idea what’s going on I’m just like, “mhm, looks good to me”
@obi-wankenobi1750
11 ай бұрын
As someone who has to take Calc 2 next spring I’m terrified
@obi-wankenobi1750
Ай бұрын
I got an A in the class!! Actually wasn’t as bad as I thought it would be lol.
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