Ciro Santilli @cirosantilli 40

Since Snakes and Ladders is nothing but a Absorbing Markov chain, the results are exactly the same as for that general problem.

www.jstor.org/stable/3619261: How Long Is a Game of Snakes and Ladders? by Althoen, King and Schilling (1993), paywalled.

Whichever problem you present a German, they will look for a mechanical solution to it!

Largest programs ever written:

These come with pre-installed drivers, so e.g. nvidia-smi just works on them out of the box, tested on g5.xlarge which has an Nvidia A10G GPU. Good choice as a starting point for deep learning experiments.

users.physics.ox.ac.uk/~lvovsky/B3/ contain assorted PDFs from between 2015 and 2019

Syllabus reads:

Professor in 2000s seems to beBut as of 2023 marked emeritus, so who took over?

Ewart is actually religious:This dude is pure trouble for Oxford!

Undated materials Ewart:

Magic: The Gathering meta-based deck choice is a bimatrix game.

www-pnp.physics.ox.ac.uk/~barra/teaching.shtml As of 2023, contains some good 2015 materials: web.archive.org/web/20220525094139/http://www-pnp.physics.ox.ac.uk/~barra/teaching.shtml It was called "Subatomic physics" back then.

2015 professor: Alan J. Barr.

Possible 2022 professor: Guy Wilkinson (unconfirmed): www.chch.ox.ac.uk/staff/professor-guy-wilkinson

users.ox.ac.uk/~corp0014/B6-lectures.html gives a syllabus:

Problem set dated 2015: users.ox.ac.uk/~corp0014/B6-materials/B6_Problems.pdf Marked by: A. Ardavan and T. Hesjedal. Some more stuff under: users.ox.ac.uk/~corp0014/B6-materials/

The book is the fully commercial The Oxford Solid State Basics.

This was the original name of Google Search.

One wonders if this name has some influence from the LGBT culture in San Francisco! The sexual innuendo is palpable.

"Back" is of course a reference to "backlinks", since Google Search relies on incoming links (AKA backlinks) to a webpage to determine its importance.

The cell wall of a bacteria. Made of peptidoglycan, a glycoprotein.

Solution $Z$ for given $X$ and $Y$ of:where $e$ is the exponential map.

If we consider just real number, $Z=X+Y$, but when X and Y are non-commutative, things are not so simple.

Furthermore, TODO confirm it is possible that a solution does not exist at all if $X$ and $Y$ aren't sufficiently small.

This formula is likely the basis for the Lie group-Lie algebra correspondence. With it, we express the actual group operation in terms of the Lie algebra operations.

Notably, remember that a algebra over a field is just a vector space with one extra product operation defined.

Vector spaces are simple because all vector spaces of the same dimension on a given field are isomorphic, so besides the dimension, once we define a Lie bracket, we also define the corresponding Lie group.

Since a group is basically defined by what the group operation does to two arbitrary elements, once we have that defined via the Baker-Campbell-Hausdorff formula, we are basically done defining the group in terms of the algebra.