Ciro Santilli @cirosantilli 37

The most important example is perhaps $SO(3)$ and $SU(2)$, both of which have the same Lie algebra, but are not isomorphic.

Learned readers will ask themselves: so why use an unbalanced tree instead of balanced one, which offers better asymptotic times en.wikipedia.org/wiki/Self-balancing_binary_search_tree?

Likely:

This was getting very hot as of 2022 for some reason. Would be good to understand why besides the awesome name.

Owned/developed by Google as of 2020.

Early on jumpstarted from several acquisitions, notably Keyhole Inc. and Where 2 Technologies.

The key initial quantum electrodynamics experiments:

Big companies like Google are able to publish white papers as peer reviewed papers just due to their reputation, e.g. without giving any source code that is central for the article.

It is insane.

E.g.: AlphaGo is closed source but published as www.nature.com/articles/natnure16961 in 2016 on Nature.

If $C$ is the change of basis matrix, then the matrix representation of a bilinear form $M$ that looked like:then the matrix in the new basis is:Sylvester's law of inertia then tells us that the number of positive, negative and 0 eigenvalues of both of those matrices is the same.

Proof: the value of a given bilinear form cannot change due to a change of basis, since the bilinear form is just a function, and does not depend on the choice of basis. The only thing that change is the matrix representation of the form. Therefore, we must have:and in the new basis:and so since:

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