Ciro Santilli @cirosantilli 40

On github.com/cirosantilli/china-dictatorship:

We looking at the definition the orthogonal group is the group of all matrices that preserve the dot product, we notice that the dot product is one example of positive definite symmetric bilinear form, which in turn can also be represented by a matrix as shown at: Section "Matrix representation of a symmetric bilinear form".

By looking at this more general point of view, we could ask ourselves what happens to the group if instead of the dot product we took a more general bilinear form, e.g.:The answers to those questions are given by the Sylvester's law of inertia at Section "All indefinite orthogonal groups of matrices of equal metric signature are isomorphic".

Like all poor countries, Brazil's lack of money and scientific culture severely limit its ability to make technological and scientific advances.

While this sounds obvious, Ciro Santilli has felt it first hand since he moved from Brazil to Europe, and it is just shocking.

In the city of Santos for example, despite being a dream place from the natural point of view, it would be completely impossible to achieve any deep tech technical advance that impacts the world. In Europe however, there are several several places where this can happen.

This could refer to several more specific courses, see the tagged articles for a list.

Mirror images.

Key exmaple: d and L amino acids. Enantiomers have identical physico-chemical properties. But their biological roles can be very different, because an enzyme might only be able to act on one of them.

Higher spin multiplicity means lower energy. I.e.: you want to keep all spins pointin in the same direction.

TODO definition. Appears to be isomers

Example:

Good list: en.wikipedia.org/wiki/Geologic_time_scale#Terminology

Useful for testing: stackoverflow.com/questions/21819183/how-to-use-ctes-with-update-delete-on-sqlite

sqlite3 :memory: 'WITH t (i, j) AS (VALUES (1, -1), (2, -2)) SELECT * FROM t'

Published as: arxiv.org/pdf/2304.03442.pdf Generative Agents: Interactive Simulacra of Human Behavior by Park et al.