No one: \(\mathbb{R}\setminus\{1\}\)
Absolutely no one: \([0,\infty)\setminus\{1\}\)

Newest Numberphile video features Tom Crawford breaking down an approach to an ex-Oxford Admissions Question: given the task of completely filling up a square with N non-overlapping rectangles of any size (not necessarily all uniform), as long as each rectangle has one side twice the length of the other, for which values of N is this task possible?

Matt Parker's latest video is a nice basic (and self-admittedly simplified) exposure to some of the concepts of :

Saw this joke online:
logπŸ˜… = πŸ’§logπŸ˜„

Imaginary numbers seem to often get harshly judged by their label and ridiculed for being "imaginary maths"

Would the stigma be lessened if they were called something else? Can they even be called anything else since the "real numbers" had already established prominence?

"...we obtain the first consistent mathematical description of multiple wave dynamics and its inter-wave strolling regime. Our results are tested and calibrated against the pandemic data. Because of the simplicity of our approach that is organized around symmetry principles, our discovery amounts to a paradigm shift in the way epidemiological data are mathematically modelled."

Not really sticking to any particular kind of note-taking system/ideology (e.g. Zettelkasten), instead focusing on just generating the content and saving the refactoring for later

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Dabbling with yet another : Obsidian () also does the whole note linking + graphs + tags, but at least there's a free desktop client extendable by plugins, and I could do my own free syncing + versioning:

Currently incorporated some notes from previous online courses + using it for ongoing notes for a training program, but will probably try redoing notes for past uni modules + outlining books/articles

Math prof Jordan Ellenberg, author of How Not To Be Wrong, just did a Reddit AMA:

Just a thought: could we unleash a deep learning agent into an environment that codifies all the rules of a given law/policy system (e.g. tax), and with an appropriate reward system, expose possible loopholes in the system more quickly?

Just stumbled upon some ongoing drama around the of Leicester's purging of pure maths staff (along with several other departments), apparently for the sake of changing research direction towards areas like data science + AI + computation (perhaps for profitability?)

Seems the uni's getting backlash + boycott reactions as expected, but dunno if that's gonna make them reverse

Some extra context:

- Players are totally free to say anything to convince others to accept/reject their offer, including lying or double-bluffing; they cannot peek at each other's plant tally though
- The players had already accrued some points from previous tasks in the episode, so they're not on equal standing and hence may have different levels of risk aversion

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Interesting game from an episode of Kongen Befaler (Taskmaster Norway):

- Each player starts with 3 roses (R) and 3 cacti (C)
- On a player's turn, they secretly choose how many of their R and C to give away, then declare their intended recipient
- If the recipient accepts, the offer proceeds; if rejected, the player instead gets to double the plants they offered up
- After all players' turns, they're scored based on R - C possessed at the end

An article looking into the pedagogical practices in online courses @ USP suggests a dominance of conventional methods less interactive & engaging compared to other disciplines. Also seems to recommend more interactivity like frequent online assessments + collaborative activities, especially helpful for a dispersed group of learners.

You people celebrating Pi Day on 14 Mar or Tau Day on 28 Jun, are pushing MM-DD dates in a world generally more agreed on DD-MM(M)

We should have more representation for mathsy dates in DD-MM (only one that comes to mind so far is 22/7 for pi approx)

Random idea: if we scrape the abstracts of maths pre-prints and use them to train a Markov chain generator, we might be able to generate funny hypothetical pre-print ideas

Problem is being able to ensure that whatever \(\LaTeX\) syntax is in the output isn't broken

So I've been mildly aware of the scandal surrounding the based on extremely slim odds, but it's also nice seeing Matt Parker's explanation as a non-playing mathematician who knows his way around enough

Another number game from Taskmaster:

Each round, 5 players each secretly decide on a number from 1-99. Then revealing their numbers sequentially from player #1 to #5,

- if a player is higher than the one before them, both score +1
- if instead there is an exact match, both lose ALL current points

(Wrapping around means that #5 is before #1)

Is there any viable strategy for getting the most points depending on position? Especially since players #1 & #5 have a lower max win per round...

I am sure someone has posted this already but in my true mathematical geeky side....

2021 is not prime :(
It is the product of two consecutive primes :)
(43 and 47)
It only has 4 divisors. For some reason that makes me happy, well in a mathematical sense.

Yes, New Years Eve suddenly made me work this out...

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