Ciro Santilli @cirosantilli 40

Mission: to live in a world where you can learn university-level mathematics, physics, chemistry, biology and engineering from perfect free books that anyone can write to get famous.

Live website: ourbigbook.com

Further information and rationale: Section "OurBigBook.com"

The project's mission is one of, or perhaps the most important, life objective of Ciro Santilli. Reproductive goals aside. These two types of goal are incommensurable. This is one of the great challenges of life.

This is ongoing project.

Ciro's goals in advertising this half done project are is partly to obtain some feedback, and partly to give the idea to someone else who might help push it further, be it in this stack or not.

Better editing support is a must, likely WYSIWYG.

But besides that, it is already in broad strokes the best approach Ciro Santilli can come up with to try and reach the mission statement only with technical advances, i.e. without large amounts of money or political influence which Ciro Santilli does not have.

Maybe that website isn't enough of a technical advance to reach its mission. Maybe there is some further not yet imagined technical insight that would push it into viability. Maybe not. But one must try. Only God can know the answer to these questions.

As of 2022, Ciro has spent about 2.5 years full time working on this project. First he spent about 1 year in 2014 on the first iteration: github.com/booktree/booktree, a GitLab fork, but then decided it was not the way to go.

Then around 2021 he put in some more 1.5 year of full time work, now with a possibly overly complicated (or perhaps just insane/immature) Next.js/Sequelize from scratch website stack.

It makes Ciro a bit ashamed to see that "so little user visible stuff was achieved in so much time". It is partly because he and many people underestimate the difficulty of web development. Perhaps there were some bad stack/useless feature choices issues. And a good dose of indulging in studying the natural sciences to bootstrap content and have fun. But really trying is the only way to learn.

Vs metric:

tmux for newbs: Section "Terminal multiplexers are CLI desktop environments".

Our notation: $D_n$, called "dihedral group of degree n", means the dihedral group of the regular polygon with $n$ sides, and therefore has order $2n$ (all rotations + flips), called the "dihedral group of order 2n".

A Cartesian product that carries over some extra structure of the input groups.

E.g. the direct product of groups carries over group structure on both sides.

Contains the gene: e. Coli K-12 MG1655 gene thrL.

Subset of the longer E. Coli K-12 MG1655 transcription unit thrLABC.

Like the U.S.' spring term.

Knock knock.

Does not have any non-trivial normal subgroup.

And therefore, going back to our intuition that due to the fundamental theorem on homomorphisms there is one normal group per homomorphism, a simple group is one that has no non-trivial homomorphisms.

We don't need to understand a super generalized version of tensor products to know what they mean in basic quantum computing!

Intuitively, taking a tensor product of two qubits simply means putting them together on the same quantum system/computer.

When we write the bra-ket notation: $|00⟩$ that is the same as $|0⟩\otimes |0⟩$.

The tensor product is called a "product" because it distributes over addition.

E.g. consider:

Intuitively, in this operation we just put a Hadamard gate qubit together with a second pure $|0⟩$ qubit.

And the outcome still has the second qubit as always 0, because we haven't made them interact.

The quantum state $\frac{|00⟩+|10⟩}{\sqrt{2}}$ is called a separable state, because it can be written as a single product of two different qubits. We have simply brought two qubits together, without making them interact.

If we then add a CNOT gate to make a Bell state:we can now see that the Bell state is non-separable: we've made the two qubits interact, and there is no way to write this state with a single tensor product. The qubits are fundamentally entangled.

Bibliography: