P (complexity) by Ciro Santilli 35 Updated +Created
Pedophilia by Ciro Santilli 35 Updated +Created
Pepe the Frog by Ciro Santilli 35 Updated +Created
Peptide by Ciro Santilli 35 Updated +Created
Peptidoglycan by Ciro Santilli 35 Updated +Created
From the Wikipedia image we can see clearly the polymer structure formed: it is a mesh with:
Permanent private hall by Ciro Santilli 35 Updated +Created
Similar to a college, but led by religious denomination leaders rather than fellows.
Personal Genome Project by Ciro Santilli 35 Updated +Created
This is really cool. Ciro Santilli would be tempted to participate, but his wife is not a fan, in part due to the loss of privacy of children. Maybe she is right...
Someone should implement a version of that where you can upload your privately sequenced genome and get analytics for free.
Filtration with vacuum pump by Ciro Santilli 35 Updated +Created
The first thing we did was to filter the water samples with a membrane filter that is so fine that not even bacteria can pass through, but water can.
Therefore, after filtration, we would have all particles such as bacteria and larger dirt pieces in the filter.
From the 1 liter in each bottle, we only used 400 ml because previous experiments showed that filtering the remaining 600 ml is very time consuming because the membrane filter gets clogged up.
Therefore, the filtration step allows us to reduce those 400 ml volumes to more manageable Eppendorf tube volumes: Figure 1. "An Eppendorf tube". Reagents are expensive, and lab bench centrifuges are small!
Figure 1. . Source. They are small, convenient and disposable.
Figure 2.
Labelled Eppendorf tubes on a rack
. Source.
Since the filter is so fine, filtering by gravity alone would take forever, and so we used a vacuum pump to speed thing up!
Figure 3.
Peeling the vacuum pump filter protection peel before usage
. Source.
Figure 4.
Placing the vacuum pump filter
. Source.
Video 1.
Pouring the water sample into the vacuum tube and turning on the vacuum pump
. Source.
Personalized learning by Ciro Santilli 35 Updated +Created
Inferior compared to self-directed learning, but better than the traditional "everyone gets the same" approach.
Video 1.
Project SOCRATES at Illinois University Urban-Champaign (1966)
Source. It is 2020, and we are not there yet. God!
Personal life of Richard Feynman by Ciro Santilli 35 Updated +Created
Transcendental number conjecture by Ciro Santilli 35 Updated +Created
There's a billion simple looking expressions which are not known to be transcendental numbers or not. It's cute simple to state but hard to prove at its best.
Open as of 2020:
Bibliography:
Video 1.
Why π^π^π^π could be an integer by Stand-up Maths (2021)
Source. Sponsored by Jane Street. Shame.
Variable yield by Ciro Santilli 35 Updated +Created
Perturbation theory by Ciro Santilli 35 Updated +Created
Used a lot in quantum mechanics, where the equations are really hard to solve. There's even a dedicated wiki page for it: en.wikipedia.org/wiki/Perturbation_theory_(quantum_mechanics). Notably, Feynman diagrams are a way to represent perturbation calculations in quantum field theory.
Let's gather some of the best results we come across here:
Peter Todd's data upload scripts by Ciro Santilli 35 Updated +Created
tx 243dea31863e94dc2f293489db02452e9bde279df1ab7feb6e456a4af672156a contains another upload script. The help reads:
Publish text in the blockchain, suitably padded for easy recovery with strings
Phase diagram by Ciro Santilli 35 Updated +Created
Nuclear football by Ciro Santilli 35 Updated +Created
Phaser.js by Ciro Santilli 35 Updated +Created
Likely the best JavaScript 2D game engine as of 2023.Uses Matter.js as a physics engine if enabled. There's also an alternative (in-house?) "arcade" engine: photonstorm.github.io/phaser3-docs/Phaser.Physics.Arcade.ArcadePhysics.html but it appears to be simpler/less robust (but also possibly faster).
The examples are present under:
git clone https://github.com/photonstorm/phaser3-examples
but note that that repo is huge, about 4.5 GiB on local disk, as is has tons of assets.
The demos also include a Monaco-editor based sandbox mode where you can edit code directly on the web and see the game update which is a really sweet addition.
Phase-space formulation by Ciro Santilli 35 Updated +Created
An "alternative" formulation of quantum mechanics that does not involve operators.
Animal intelligence by Ciro Santilli 35 Updated +Created

Pinned article: ourbigbook/introduction-to-the-ourbigbook-project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact