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How to color complex functions [Domain Coloring] 

Leios Labs
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Algorithm Archive: www.algorithm-archive.org/con...
Source code: In chapter
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Github: github.com/leios
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26 июн 2020

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Комментарии : 57   
@LeiosLabs
@LeiosLabs 4 года назад
I love the plots made with this method, they really make mathematical functions *pop*! Please let me know what you think about this video! I am trying to experiment with different styles to get content out more quickly. I admit that there are a few places I stumbled over my words, but overall, I think it turned out pretty well and took 10x less time to make than my normal content. Thanks for watching and I hope to see you next time!
@axelmarmet2952
@axelmarmet2952 4 года назад
I think the 10x time reduction is worth the few stumbles which weren't really noticeable anyway
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, I feel like I can make videos (almost) every week with this strategy, while they were coming out (at best) every month before. We'll see what the analytics show.
@iminni3459
@iminni3459 4 года назад
I think it was a great video!
@punishedsnake492
@punishedsnake492 4 года назад
I would love to hear your rant about your thesis.
@LeiosLabs
@LeiosLabs 4 года назад
Haha, maybe next time!
@florianvancitters3674
@florianvancitters3674 4 года назад
​@@LeiosLabs I genuinely was about to get excited about some advanced applications of the topic when you just cut yourself off, please do go into detail about your thesis (and if possible not just the ground level stuff, I would love to hear it all, even if it'd take an hour) in a future video!
@1ucasvb
@1ucasvb 4 года назад
@@LeiosLabs Please upload it!
@The_Tauri
@The_Tauri 4 года назад
Make a branching video tree for each tangent! :D
@JobvanderZwan
@JobvanderZwan 4 года назад
Numberphile has two channels, with the second being specifically for this kind of cut footage. Just a thought ;)
@Axman6
@Axman6 4 года назад
I’m so glad to see you making videos here again, you’ve got a real knack for describing algorithms simply without simplifying them too much, and having some fun playing around with them. Keep up the awesome work.
@LeiosLabs
@LeiosLabs 4 года назад
Hey, thanks a bunch! I'm trying to get back into it!
@aresharesh8671
@aresharesh8671 4 года назад
Could you put the thesis rant in a separate video? I'm interested in what it's about!
@veggiet2009
@veggiet2009 4 года назад
Yes, me too
@LeiosLabs
@LeiosLabs 4 года назад
It seems there is significant interest, then... I'll see about doing it soon!
@PapaFlammy69
@PapaFlammy69 4 года назад
nice. :)
@MrLikon7
@MrLikon7 4 года назад
papa flammy! gut to see you hier
@LeiosLabs
@LeiosLabs 4 года назад
Haha nice! Happy to see you here, man! Keep up the great work!
@Axman6
@Axman6 4 года назад
As an idea for a topic, Automatic Differentiation seems like something that might fit well with the channel, and maybe you’ll learn a little Haskell along the way.
@LeiosLabs
@LeiosLabs 4 года назад
AD has been on my radar for a while! I'll put it on the list!
@altaroffire56
@altaroffire56 4 года назад
1:14 "If my youtube comments have taught me anything, it's basically impossible to understand 4 dimensions in any intuitive way" The Tesseract video comment section is full of people joking about it being hard to understand, but also stuff like "I'm 12 and fully understand this", so LeiosOS might be subtly mocking those kids.
@LeiosLabs
@LeiosLabs 4 года назад
Shoot. Do I need to make an apology video?
@KingFredrickVI
@KingFredrickVI 4 года назад
Sweet video! Awesome plots!
@LeiosLabs
@LeiosLabs 4 года назад
Haha, thanks!
@TheMazyProduction
@TheMazyProduction 4 года назад
Bruh I have been wondering this for so long.
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, I was as well. It's kinda related to a bunch of other areas that I kept running into in the literature.
@oraz.
@oraz. 4 года назад
Damn I'm excited about this.
@vector8310
@vector8310 Год назад
New subscriber. You planted a seed composed of equal parts detail, rigor and rapidity.
@wes_m_
@wes_m_ 3 года назад
Definitely late to the party here, but really incredible video! Really helped me understand domain coloring :)
@marco14ortega
@marco14ortega 4 года назад
Thank you for posting
@LeiosLabs
@LeiosLabs 4 года назад
Thanks for watching!
@Rightwing789
@Rightwing789 3 года назад
This is awesomeeeee
@embeddedbastler6406
@embeddedbastler6406 4 года назад
Nice to see that I'm not the only one who uses Xournal++. It's a great piece of software!
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, I am a big fan of it. For simple note-taking, it's hard to do better. Krita and Gimp might have more features, but I don't need anything more for just jotting down equations and such!
@timh.6872
@timh.6872 4 года назад
I did some fun stuff with domain coloring before, but I focused on H and L from HSL space. This looks really cool, I might have to implement it real quick and have a go at the functions I was using before.
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, there are a bunch of ways to play with this. I was focusing on HSV and RGB because that's what I knew, but there isn't a "right way to do it." Happy to hear you were working on this as well!
@ZardoDhieldor
@ZardoDhieldor 4 года назад
I've never seen a Twitch chat in a bitmap font! Looks nice. I looked it up, I didn't know Twitch had an an IRC interface.
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, I am using irssi for it. It doesn't do emotes well, but I am thinking of a way around that with libsixel! Really excited to give it a try!
@henrmota
@henrmota 3 года назад
This reminds me glsl shader programming. A good way to start to 'see' maths.
@pralay1762
@pralay1762 4 года назад
Love this video seriosuly
@LeiosLabs
@LeiosLabs 4 года назад
Thanks a bunch!
@roderik1990
@roderik1990 4 года назад
You might also want to use a different colour space that is more uniform, just so that perceived lightness and saturation don't change as you change hue. Things like cielch or something.
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, you can definitely choose whatever color space you want. Sorry if I didn't make that clear. I tried to show two different color spaces so that people would realize that a lot of this is up to the user to determine what shows their data the best.
@roderik1990
@roderik1990 4 года назад
I'd think covering different colour spaces and their properties would have been outside the scope of this video anyway.
@The_Tauri
@The_Tauri 4 года назад
Oh man, I really wanted to hear about the phase discontinuity rant! Oh well, the rest is cool too I guess.
@LeiosLabs
@LeiosLabs 4 года назад
It might happen soon. Planning a thesis video one of these days.
@alan2here
@alan2here 4 года назад
when repeated sin(z) is nice :) i^z is not really, but is for a while darker towards zero is nice too
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, I think we tried all of these at some point on stream. I just picked a few to show here.
@alan2here
@alan2here 4 года назад
thanks :)
@oosmanbeekawoo
@oosmanbeekawoo Год назад
Is there the original discussion? Like for the phase discontinuity
@Aequorin628
@Aequorin628 4 года назад
4:20 it's interesting that when I look at this I don't see a ring of slowly increasing saturation, but spikes of color on a white background
@LeiosLabs
@LeiosLabs 4 года назад
Yeah, it got me as well. That was why I thought it was important to show what people typically do with the saturation instead
@exoticcoder5365
@exoticcoder5365 11 месяцев назад
3:28 ohhhh tell me your thesis more ! I don’t mind !
@EmissaryOfSmeagol
@EmissaryOfSmeagol 4 года назад
Clarifying comment about integers in *C* This is a union of the sets { *Z* u i *Z* } right? So a complex integer could be 1+1i, as an imaginary integer is 1i, 2i, etc. Also, nice video!
@MrMichkov
@MrMichkov 3 года назад
Dont cut the unnecessary ramblings, they may contain the most interesting bits for some.
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