Pure Maths Undergraduate Student 🏳️🌈
Assistant to @GWOMaths in the "Puzzle of the Day" challenge - Email me at [email protected]
- Banner by London Tsai
As I appear to be gaining a number of followers every day, I feel like I should introduce myself a bit more than my bio.
My name is Tim, I'm a mathematics student (just finished my 1st year of my undergrad). 1/
@philo_sofa @hollymathnerd Idk if that answers your question but it's the best I can do.
It may just be beyond my scope, though I have no way of knowing if it is or not.
@philo_sofa @hollymathnerd You'd have a hard time expressing any number that isn't a sum of powers of pi in this base, in fact I'm not sure how possible it would be to do.
I don't know how useful such a thing would be besides discussions about the philosophy of nominalism in maths.
@GWOMaths Ooooo, this one was good. My proof touches on combinatorics and group theory/set theory. I also kinda stumbled onto the answer for n distinct beads though I didn't prove the statement, only asserted it.
I hope you guys will be able to read my handwriting
@GWOMaths There's controversy around whether the day should be held, or whether the official event/thing that is celebrated should be changed.
However, as previously stated, most people just use it as an excuse to get off work and have a good time with friends and family.
@GWOMaths Australia Day is, ostensibly, a day every year where folks celebrate the arrival of the British at Port Jackson and the raising of the flag of Great Britain.
These days, most people don't know what the day actually celebrates and so celebrate 'being Australian' instead.
Today's #dailymaths problem from the Mathematics 2020 calendar in pic. Solution will post tomorrow. Daily problems with previous day's solution are tweeted ~6am Eastern. Solutions by me and/or @MathsTim unless otherwise stated. Guest solution posts welcome--DM if interested.
Yesterday’s problem and solution. I’m over the flu and Tim is kicking butt and taking names at his new university, so we’re back to normal. Yay! 🤓 Here’s a narrative from me (with a special challenge for our #dailymaths regulars!) and a proof from @MathsTim.
Today's #dailymaths problem from the Mathematics 2020 calendar in pic. Solution will post tomorrow. Daily problems with previous day's solution are tweeted ~6am Eastern. Solutions by me and/or @MathsTim unless otherwise stated. Guest solution posts welcome--DM if interested.
@LaSalleEd For our puzzle n=16 and r=8, so plugging those values into the aforementioned formula gives us
(16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1)/(8x7x6x5x4x3x2x1)
Which can be tidied up into
16x15x14x13x12x11x10x9
Which equals 518,918,400.
@LaSalleEd In the notation it's written as "nPr", where n is the number of objects to choose from and r is the number of objects we need to choose.
The formula to calculate this is n!/(n-r)!.