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?
From /r/math: "what is the most enraging/funniest 'how is this useful' question someone has asked you?" https://www.reddit.com/r/math/comments/oqruxh/mathematicians_if_reddit_what_is_the_most/
"...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 #COVID19 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
Dabbling with yet another #PKMS: Obsidian (#ObsidianMD) 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: https://obsidian.md/
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 stumbled upon some ongoing drama around the #University 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
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 #maths 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.
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...