Today's class was pretty chaotic, if not a great start to reading week for me. The exercise we did confused me slightly, as I couldn't find an answer. (I feel like I was close, as using Γm/n┐*n (haha, sketchy ceiling symbols. Working on this from my phone) yielded the answer the majority of the time, as long as m was larger than n. Otherwise, just switch the m and ns. The only cases where this didn't work was in 5x7, 5x9, 5x11 and 3x11 squares. Which all yielded prime numbers, so I might have to rethink it with addition or something of the sort.)
And then there was the chaos of picking up midterms. Initially, I planned to wait it out, but the crowd wasn't clearing, so I decided to join the hunt. I found my sister's midterm relatively quickly, but mine took a while longer. Fortunately, I had doodled on the back of it, and as someone flipped through the midterms, I saw my doodles. My results were great. I sort of hope I could miss the second midterm and have my first one count for both, but that'd be a pretty bad idea, seeing as I'm horrible with proofs as is. And the second midterm would probably help me prepare for the final.
Oh well. Happy reading week! I'll 'attempt' to be productive and maybe finish a month-overdue essay or prepare for my math midterm. Sigh.
Don't expect to solve the problem example during one session --- I'm not aware of any student who solved this one.
ReplyDeleteYour observation about prime numbers is getting somewhere, but something more general is also true. Consider 4x5 or 8x9.
Hey Sophia, like your nice and neat slog! check my Slog if you're still interested in how to solve the problem. I got it solved during the reading break luckily. :) mandyxu.blog.com (There are two posts solving it in different ways.)
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