Main motivation: Lebesgue integral.
The Bright Side Of Mathematics 2019 playlist: www.youtube.com/watch?v=xZ69KEg7ccU&list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j
The key idea, is that we can't define a measure for the power set of R. Rather, we must select a large measurable subset, and the Borel sigma algebra is a good choice that matches intuitions.
Techniques to get numerical approximations to numeric mathematical problems.
The entire field comes down to estimating the true values with a known error bound, and creating algorithms that make those error bounds asymptotically smaller.
Not the most beautiful field of pure mathematics, but fundamentally useful since we can't solve almost any useful equation without computers!
The solution visualizations can also provide valuable intuition however.
Important numerical analysis problems include solving:
The heart/main innovation of GitHub!
This is what society gets for not using open knowledge: some of its best minds will be bound to waste endless hours reversing some useless technology.
With that said, even when you do have the source code, reading run logs and using debuggers are a sort of reverse engineering at heart.
One of the most jaw dropping reverse engineering projects Ciro has ever seen is the Super Mario 64 reverse engineering project.
That which does not exist, cannot be broken.
And of course:
PDF table of contents feature requests: twitter.com/cirosantilli/status/1459844683925008385
The Evolution of Bacteria on a 'Mega-Plate' Petri dish by Kishony Lab (2016)
Source. They've made a huge Petri dish with bands of different concentrations of antibiotic, and then they visualize Escherichia coli mutations as new strains manage to make their way into the highest antibiotic concentration strip. mind blowing.Equivalent to Lagrangian mechanics but formulated in a different way.
Motivation: Lagrangian vs Hamiltonian.
TODO understand original historical motivation, www.youtube.com/watch?v=SZXHoWwBcDc says it is from optics.
Intuitively, the Hamiltonian is the total energy of the system in terms of arbitrary parameters, a bit like Lagrangian mechanics.
Bibliography:
Previously known as "Food From Electricity", "NeoCarbonFood" sounds like a more commercializable version of it.
Uses electricity to electrolyse water into hydrogen and oxygen molecules, and then use bacteria that do hydrogen chemosynthesis to convert it into food.
Ciro Santilli is agnostic, see also: github.com/cirosantilli/china-dictatorship/tree/965430af9f50a93ac23dfbb72719eee0f93c8c5c#do-you-believe-in-or-practice-falun-gong
His father always told him a story about how when Ciro was small, someone raised the question of the existence of God, to which Ciro replied very directly and naturally, without any doubts:It's a genetic thing it seems.
That doesn't exist.
They have been masters of second sourcing things for a long time! One can ony imagine the complexity of the Intel cross licensing deals.
There are unlisted articles, also show them or only show them.