Ciro Santilli @cirosantilli 37

Linear map of two variables.

More formally, given 3 vector spaces X, Y, Z over a single field, a bilinear map is a function from:that is linear on the first two arguments from X and Y, i.e.:Note that the definition only makes sense if all three vector spaces are over the same field, because linearity can mix up each of them.

The most important example by far is the dot product from ${\mathbb{R}}^n\times {\mathbb{R}}^n\to \mathbb{R}$, which is more specifically also a symmetric bilinear form.

The enemy?

You must watch this: Video "Bill Gates vs Steve Jobs by Epic Rap Battles of History (2012)".

It does not matter how many trillions you donate to charity, Bill. If you want to prove your point, make MS Word free and open source and port it to Linux. And then Window implements POSIX-compatible APIs and then deprecate non-POSIX APIs.

Maybe we need these people, maybe we do.

The problem as with many well known science communicators is that he falls too much on the basic side of the the missing link between basic and advanced.

TODO is there a publicly visible list?

Handbook 2020/2021: weblearn.ox.ac.uk/access/content/group/b5e24110-24b6-45fb-9789-9e7f6b7236f8/Handbooks%20%26%20Guidance/Handbooks/HANDBOOK%202020.pdf

Database of promoter.

E.g. for E. Coli K-12 MG1655: biocyc.org/group?id=:ALL-PROMOTERS&orgid=ECOLI For some context see e. Coli K-12 MG1655 gene thrL + e. Coli K-12 MG1655 gene thrA + thrB + thrC all of which are in the same transcription unit.

In this section we classify some functions by the type of inputs and outputs they take and produce.

The normal navigation to them was paywalled, but the static files are served without login checks if you know their URL. One way to go about it is to search by prefix on the Wayback Machine: web.archive.org/web/*/https://www2.physics.ox.ac.uk/sites/default/files/contentblock/2011/06/03/*

The last handbooks we can find are 2020/2021, they might have move to a new more properly paywalled location after that year.

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:

A web server is mandatory for assets, unless you embed them in data URLs, file:// access is not possible:

There are two ways:

The video from futureai.guru/technologies/brian-simulator-ii-open-source-agi-toolkit/ shows a demo of the possibly non open source version. They have a GUI neuron viewer and editor, which is kind of cool.

Synonym to gate-based quantum computer/digital quantum computer?

Some less-trivial breakthroughs: