adjoint VS CBofN

This idea shows up in essentially all scientific fields. It’s the idea of adjointness. Together with norm, they give you the idea of fixed points, (invariants, spectra, embeddings, braids etc).I'm

Lawvere's fixed point theorem is I think the best formulation of the idea

https://ncatlab.org/nlab/show/Lawvere%27s+fixed+point+theore...

I've been putting together a brain dump on the topic

https://github.com/adamnemecek/adjoint/

Join the discord https://discord.gg/mr9TAhpyBW

I’ve always thought that the completeness theorem was more interesting.

Also I really like approaching this from Lawvere’s fixed point theorem. https://ncatlab.org/nlab/show/Lawvere's+fixed+point+theorem

I have been thinking about some of this stuff

https://github.com/adamnemecek/adjoint

Yeah I have been realizing this lately as well. I have written up a bit on this

https://github.com/adamnemecek/adjoint/

Check the raw source there’s a bunch of links.

Fixed points, diagonalizations and eigenshit are all the same thing.

I think that there are like three concepts in math or the world, the concepts being the adjoint, norm and fixed point.

https://github.com/adamnemecek/adjoint

The concept of a fixed point is so ubiquitous.

Game theory, just liek essentially everything in math, physics and probability, and cs is about adjoints, norms, and fixed points https://github.com/adamnemecek/adjoint/

Nash equilibrium is a fixed point.

For me it was the idea of adjoint functors which is the central idea of category theory.

I wrote up a bit on it here https://github.com/adamnemecek/adjoint

Source code for the second book:

https://github.com/gwf/CBofN

Use DieHard to avoid crashing newer window managers such as CWM:

https://github.com/emeryberger/DieHard

Check out stutter from the Computational Beauty of Nature too:

https://github.com/gwf/CBofN

cat data/demo.lisp | ./bin/stutter

Have a look on the file on how integers and aritmetics are implemented.

The books explains that, but is not free. But you can get it somewhere else.

From the The Computational Beauty of Nature:

https://github.com/gwf/CBofN

If you use CWM as your window manager, it might crash as some of the software only works fine

Read The Computational Beauty of Nature and compile the associated examples:

https://github.com/gwf/CBofN

On C, compilers in the 90's sucked up a bit, and the code wasn't much better.

Consider this:

https://github.com/gwf/CBofN

This code crashed CWM under OpenBSD 7.2, but it worked under FVWM.

https://mitpress.mit.edu/9780262561273/the-computational-bea... and

https://github.com/gwf/CBofN

On Debian/Ubuntu: install xorg-dev build-essentil git and clone it.

*BSD users: You and we already know what to do.

This is a really unique book, but it is quite dated as the graphics/simulations are written in C (https://github.com/gwf/CBofN). But I don't think the book text has any code in it nor does is it necessary to read the code to read the book. Rather it is mostly conceptual with some mathematics.