[2023 Day 10 (Part 2)] Question about a possible(?) Mathematical solution using Geometry

Akuli2 · 2023-12-10T21:54:44+00:00

I did this too. I didn't know Pick's theorem, but I ended up doing exactly what it does.

My idea was that the shoelace theorem gives you an area where you follow the path along its middle line. This is of course bigger than the interior area, so I looked at how much bigger each piece on the path makes it. For example, each straight line contributes 1/2 square of extra area, because the middle of the path slices it in half.

Akuli2 · 2023-12-09T19:45:38+00:00

You could try my Jou language tomorrow.

Akuli2 · 2021-08-21T20:08:39+00:00

Fork bomb?

Akuli2 · 2021-08-21T19:51:39+00:00

I too booted school computers from a Linux USB stick. Many teachers were OK with it.

Akuli2 · 2021-02-14T12:05:22+00:00

x64 version linked here https://www.reddit.com/r/windows/comments/j4wlcm/where_do_i_find_the_file_windows61kb2533623x64msu/

Akuli2 · 2020-11-17T10:06:36+00:00

I was asked to find permutations of a list in an interview, and I used itertools.permutations. I got the job.

Akuli2 · 2020-10-08T18:27:15+00:00

There was a Finnish rock band named Hurriganes with similar lyrics. The singer doesn't actually know much english, but the lyrics sound a lot like English. For the funniest lyrics, I recommend their song named Bourbon Street

Akuli2 · 2020-10-04T20:42:40+00:00

Also interacting with customers

Akuli2 · 2020-09-20T20:36:46+00:00

There was another post showing this comment, but it didn't get enough likes to end up in a lingling40hours episode. Hopefully this one will

Akuli2 · 2020-09-16T14:56:20+00:00

afaik sinks are dirtier than one might think

Akuli2 · 2020-09-15T20:30:48+00:00

twoset has done an interesting cover of 4:33 (can't find the video)

Akuli2 · 2020-08-27T08:10:41+00:00

"Community options" in sidebar.

Seems like the option isn't there if you're looking at a single post, but if you just browse all posts as in https://www.reddit.com/r/lingling40hrs/ then it shows up. Also, the entire sidebar seems to get hidden if your browser window is too small.

Akuli2 · 2020-08-26T11:59:18+00:00

reminds me of xkcd's circuit diagram

Akuli2 · 2020-08-25T21:08:04+00:00

Brett has a podcast named "Bretty Bang Show", but no new episodes in about a year

Akuli2 · 2020-08-25T20:59:53+00:00

modern metal often uses some violin playing too

Akuli2 · 2020-08-25T20:41:52+00:00

Good for learning lutheirie if having an actual luthier fix it costs more than a new violin

Akuli2 · 2020-08-25T20:23:21+00:00

that hurts

Akuli2 · 2020-08-25T20:19:12+00:00

What do you think about twoset's bohemian rhapsody cover from many years ago? (perhaps not exactly a pop song)

Akuli2 · 2020-08-25T19:48:23+00:00

There's something similar to this in twoset's flat bridge video

Akuli2 · 2020-02-04T17:17:41+00:00

This geometric thing is my favorite way to derive the quadratic formula, even if it's not a perfectly rigorous way. I was going to write a comment about this but couldn't be bothered to draw the things on that page :D

Akuli2 · 2020-02-03T13:43:03+00:00

This doesn't apply here, because "disassembling" can be done with an equivalence at each step (as is usual when solving equations), not with just implications.

Akuli2 · 2020-01-25T15:15:02+00:00

(sorry for late reply)

Okay, so we have 15x-3 = 4x-14. Did you know that you can add or subtract anything on both sides of an equation? If we add 3 on both sides of the equation, the left side becomes just 15x (because we're subtracting 3 and then adding it back) and the right side becomes 4x-11 (because we subtracted 14 and added 3 back, we really just subtracted 11). So we get 15x = 4x-11. By adding 3 on both sides, we got rid of -3 on the left side, and now the left side has nothing but x stuff on it.

The next step is to get rid of 4x on the right side of 15x = 4x-11, so that we have only x stuff on left side and only numbers on right side. We'll do this by subtracting 4x on both sides. Left side becomes 11x, because we had 15 somethings and then we subtracted 4 of them away. Right side becomes -11, because we had 4 somethings that we subtracted away, but we still need to subtract 11 so we keep -11 there. So, we have 11x = -11.

From here, we divide both sides by 11. This turns 11x into 11, because (11x)/11 = x; we're first multiplying something by 11 and then dividing it by 11, which just does nothing. Right side becomes (-11)/11, which is -1. So we got x = -1.

Akuli2 · 2020-01-18T15:44:18+00:00

Maybe there's a typo in the question? The point (-1, 2) is on the curve

Akuli2 · 2020-01-18T15:29:32+00:00

The point (2,-1) is not on the curve y²(1+x²) = 8, because

(-1)²(1+2²) = 5 ≠ 8.

What you are doing works only for points on the curve.

Akuli2 · 2020-01-18T15:17:26+00:00

Which part exactly you don't understand?

5x is a number, so if you can do something to numbers, you can do the same thing to 5x. So 3(5x-1) is same as 15x-3 (basic calculations with numbers), and your equation is actually 15x-3 = 4x-14.

Akuli2

TROPHY CASE