Thanks, working on it 😅 And got some new videos upcoming in the next year, stay tuned...

Thank you ;) It's great to hear that the efforts taken to ensure quality are recognized. On the flipside, (Quality > Quantity) is why I also take so long to produce new videos...

Thank you ;) For the tools I've used, see the video description. The animations themselves are all done in PowerPoint.

​@@splience Thanks! )

Wow, thank you, have never heard about Typst but seems really cool! This might be a real LaTeX contestant.

@@splience Most certainly! It's still in its infancy, and lacks a lot of features and tools, but if you've got experience with programming, it shouldn't be hard to work around those limitations in the meantime. The basic requirements needed for writing any document is significantly simpler than in LaTeX. I rewrote my custom LaTeX preamble in a matter of hours, which took me years to do in LaTeX, due to how complicated low level TeX is. I'm very, very excited for its future development!

Sorry. In the comments, I see that you have already provided the answer to this question before.

​@@attiladren6990 Thank you. I've just added the tools I used in the video description since others might ask as well ;) Also see my video "Your tools are good enough": kzbin.info/www/bejne/qZKqinymrNODd6M

Thanks ;) I used PowerPoint to animate everything, OBS to screen-record it and DavinciResolve to edit it and record the audio. Other great tools include Blender and GeoGebra.

@@splience how do you include latex in power point? Also how do you sync the videos to your voice and change slides at the same time? Appreciate the quick response btw

@@korigamik I use the great IguanaTex plugin by Jonathan-LeRoux for LaTeX in PowerPoint. With regards to synchronisation: For this video I've recorded the audio while clicking around in the presentation (and recording it), then edited the video and audio (in DavinciResolve). Later, I rerecorded parts (just the screen) where I missed clicks or where they were not well-aligned with my speech. It's a back and forth and there are many ways to do it.

Hey, thanks ;) I'm not particularly interested in number theory, so you will probably not see a video from me on that. Also not sure, if I will make more Lean videos, but let's see ;) Next videos will probably be something in algebraic topology and I have ideas for some other topics as well, stay tuned.

Thank you for these kind words ;)

I'd suggest to first get acquainted with the basic syntax and see how simple proofs could look like. A good place to start could be the natural number game: adam.math.hhu.de/#/g/leanprover-community/NNG4 or even this video ;) Beyond that, the Lean Community provides a website with links for resources to learn Lean4 here: leanprover-community.github.io/learn.html Doing your own projects is also a good idea as that's probably where you learn most. "What I cannot create, I do not understand" - Richard Feynman.

@@splience thank you! 🙏

Neovim 😅

Ups, thanks for pointing that one out, didn't know that! (Me not being a native English speaker, there's probably more such errors that I make, feel free to highlight these in future videos as well 😅)

@@splience No worries! 😀It's a common 'error' made by native English speakers, but one that doesn't hamper understanding.

I mean you could browse through the Mathlib4 code ( github.com/leanprover-community/mathlib4/tree/master/Mathlib ). Just be aware that this code is sometimes very dense and advanced users of Lean4 write it. But still a good idea to just give it a try and see if it actually eases understanding proofs. But it's maybe easier to understand if one has already seen the proof laid out in a "hand-written" form. If you browse through the code, you'll probably want to do so in VSCode using the Lean4 extension such that you can see the goal to solve at every step.

@@splience Oh, would be nice if it started from the axioms.

Thanks ;) The Lean Community provides a website with links for resources to learn Lean4 here: leanprover-community.github.io/learn.html E.g. the natural number game is a great place to start and learn the basics: adam.math.hhu.de/#/g/leanprover-community/NNG4 With regards to the discord server: no, I don't have anything like that since I currently work on KZbin videos just for fun in my spare time. Maybe something to keep at the back of my head for the future.

@@splience Thanks! I actually do remember the NNG, but I'm not sure if I ever did it. I'll have to give it a go. No issues about not having a discord or anything. It can be a pain to moderate, but being able to talk math with people of similar interests is fun.

It's already the morning

I LOVE LEAN

Hey @Filup, thank you for the kind words. Yeah, Fourier analysis and transform is really a broad topic, so there's much more to cover than what was shown in this video. Maybe, I will do another video tackling Fourier transform in the future ;)

@@splience I am looking forward to it! The topic got so advanced and honestly, there isn't enough high quality advanced mathematics content creators on KZbin since it's hard to hold the audience. I found your video a good balance between the advanced and also just simple enough for a less educated mathematics enthusiast grasp. There are so many things I want to dive into, but I haven't the time! Algebraic number theory, knot theory, cellular automata. I have a hobby project combining category theory and group theory, and its something I look forward to having more time to focus on. I am excited to see what else you make to help keep me procrastinating!