/sci/ - Science & Math

>>11547128
>>11547217
I merely screencapped this short document here
https://www.math.uni-hamburg.de/home/khomskii/ALST/hrafn.pdf
I'm not a student or in Hamburg. Allerdings spreche ich Deutsch. And I always have the feeling there's a lot of Germans here, I'd not be surprised.

Some years ago I was in Stuttgart, posting on /lit,/ and completely randomly added a pic out of the Starbucks window I was sitting there. A Stirner scholar saw it and we ended up meeting for some literary discussions.
That's the best case scenario of what you can get out of these sort of interest focused boards/forums.

>>11546644
They won't replace paperwork and student interaction, so any "revolution" may be of limited scope.
In any case, while I can see the color and position dynamics of equations be helpful, the shit-ton amount of work it would take to produce enough content also for less 101 things.
I played around with his tool for a day some years ago, it's available here
https://github.com/3b1b/manim
Not sure I like it, it would need a "more agile" approach to make something like that a common open source gadgets replacing overhead projectors.

It's work, but it might take a few such people to get enough animations to cover a reasonable amount of topics.
If you know the links to click, you can find that animation sort of guy who made a lot of the gifs on Wikipedia. Here:
https://en.wikipedia.org/wiki/User:LucasVB/Gallery

Oh, and I forgot to say that I like that he open sourced his python scripting tool, I played around with it at one point 2 years ago. I think now that he actually has staff it's further developed. And yeah, I make math videos myself (cheap ones).
https://youtu.be/hPEGpxAeQ70

>deep dives like pic related
I don't quite know what you mean by deep dives here, since 3blue1brown videos are 15 minute clips where he tries to work out the visual aspect of first or second year uni math problems.
I'll shill you my own youtube channel

https://youtu.be/hPEGpxAeQ70

but I don't know blogs that give you a better deep dive than some textbook would. You may elaborate more.

>>9934095
haha, indeed I did, already last year

To join that unnecessary discussion above, I'd say it's pop-sci, as he presupposes essentially nothing and because of his target audience. This is mathematically interested people, but in a way that doesn't exclude anyone. Definitions aren't build on previous definition and so he does goes "this is called someName and is like so and so" all the time.

In any case, I agree that it's the best math channel on youtube. Probably because of the animations that help a lot, and because he tends to pick from topics that are actually university math (you'd not find the questions that he resolved in an amateur puzzle book).

He also wrote his own Python code for the animations and if you follow to his website, it's free to use on GitHub. Even if it might be a bit syntactic, I played around with it, pic related.

I also have a youtube channel and it's bothering that, for the most part, either you do relevant interesting math and get no views, of you go for basic stuff and only then get some interaction.

https://youtu.be/h-sZ4kgln40

:^)

Out of the ones you mentioned, I like watching some episodes of Numberphile the most.
I'd still not put my hand into the fire for any of those folks, mostly because I don't like how all of them sometimes sell their opinions as facts.

>>9001999
- Quantum Computation book
http://www.michaelnielsen.org/qcqi/QINFO-book-nielsen-and-chuang-toc-and-chapter1-nov00-acro5.pdf
- More particularly
https://en.wikipedia.org/wiki/Jaynes%E2%80%93Cummings%E2%80%93Hubbard_model
- Circuit QED intro
https://arxiv.org/pdf/1310.1897.pdf
- On microelectronics
http://www.csun.edu/~acm31201/Old%20Class%20Work/ECE%20340/Fundamentals%20of%20Microelectronics.pdf
- To get a feel, here's the latest paper of my old group
https://arxiv.org/pdf/1706.00376.pdf
- Here's device control panel I wrote
https://github.com/Nikolaj-K/lab-control-GUI

I use Python (and Mathematica, if that counts) and have to use MatLab and C++ for my Job.

I'm interested in dependent types. I try to establish a reading club on the google group for Idris in July and am willing to put in some organizational work. Anyone tell me if they're interested here?
Pic related:
https://www.youtube.com/playlist?list=PL_vIhjXh1UTpfw8atiA31uP3F4Sjix_ZQ

The sequence of polynomials

[math] p_n(x) := \left(1 + \dfrac {x} {n} \right)^n [/math]

have

[math] {\rm e}^x = \lim_{n\to \infty} p_n(x) [/math]

and I recently asked myself how they compare with

[math] q_n(x) := \sum_{k=0}^n \dfrac{1}{k!} x^k [/math]

which have the same limit. And it's not hard: With

[math] \left(x+y\right)^m=\sum_{k=0}^m \dfrac{n!}{k!\,(m-k)!} x^k y^{m-k} [/math]

you find

[math] \sum_{k=0}^n a_k(n)\dfrac {1} {k!} x^k [/math]

with

[math] a_k(n)=\prod_{j=1}^{k-1}\left(1-\dfrac{k-j}{n}\right)\le 1 [/math]

For n to infinity, all [math] a_k [/math] become 1 and you get the classical series expansion.

I found there's also an interesting version of the exponential function that you obtain if you merely require the property [math] \frac{{\rm d}}{{\rm d}x} {\rm e}^{c\, x} = c\, {\rm e}^{c\,x} [/math] to hold at one or a few points, not globally.