Talk:2735: Coordinate Plane Closure

Is there significance to the fact that the axes aren't labeled in the warning? Can I plot y = 0.75x today or not?Brossa (talk) 15:05, 8 February 2023 (UTC)

you cannot because it intersects the given square as shown in this desmos thing i whipped up in 2 seconds: https://www.desmos.com/calculator/zb9nbrl6s5 172.70.43.29 15:38, 8 February 2023 (UTC)Bumpf

I can if the forbidden coordinates are 1 ≤ x ≤1.5 and 1.5 ≤ y ≤2172.70.131.66 15:56, 8 February 2023 (UTC)

In the absence of other information, assuming horizontal x and vertical y would be conventional. --141.101.98.145 19:15, 8 February 2023 (UTC)

"Hole" is also sometimes used to mean a particular coordinate on a function which is discontinous at some point but could have a value (for example sinx/x with a hole at (0,1)). 172.70.206.92 19:18, 8 February 2023 (UTC) Randall listed 2 points, yet the cordoned off area is a square. 2 points define a line, not a square, he really should have thought of that. How is someone to know the invalid points without the diagram? Even with the diagram, we don't know whether points on the boundary are included! Is the line y=1 a valid line to draw? THESE ARE QUESTIONS THAT NEED TO BE ANSWERED RANDALL BE MATHEMATICALLY RIGOROUS NEXT TIME.

Right! A hole pops up in rational functions when there's a term that appears in the numerator AND the denominator. However, it does not mean the graph is broken; just that there is no defined y-value at the x-value of the hole. ----Theunlucky (talk) 16:55, 9 February 2023 (UTC)

One reason could simply be the alignment between the coordinates and time. Reading out the numbers without paying attention to the mathematical punctuation you can form the sentence "the coordinate plane will be closed Thursday between 1:51 and 2:15 to repair a hole", following the typical structure of such a notice to not just provide a day but a time.

Ironically, the notice makes it sound like using y=1 is fine, and the affected region is only strictly greater than y=1. That would make the region that's closed an open set, and the region that's open a closed set. 172.70.110.230 22:46, 8 February 2023 (UTC)

Right! A hole pops up in rational functions when there's a term that appears in the numerator AND the denominator. However, it does not mean the graph is broken; just that there is no defined y-value at the x-value of the hole.

🚧 DETOUR 🠕 KEEP WITHIN MINKOWSKI CONES ⛔ DO NOT ENTER Y < |X| 🚧 162.158.90.38 23:37, 8 February 2023 (UTC)

So the joke is that the coordinate plane is closed when there's damage that causes it not to be closed? Barmar (talk) 23:44, 8 February 2023 (UTC)

Aw man, I was really looking... forward... to doing math today. 172.71.222.76 11:58, 9 February 2023 (UTC)

I thought the title text was referring to the danger of lines on a 2d graph "falling through" the hole and inadvertently gaining a third dimension, which might collide with graphs at z=-1 etc. 162.158.34.75 16:14, 9 February 2023 (UTC)

My RSS reader picked this comic up at exactly midnight UTC on Feb 8, which stood out to me because usually they seem to be posted later in the day. Danielp82 (talk) 04:02, 10 February 2023 (UTC)

This comic reminded me of Complex Analysis, where we integrate in circles around singularities of complex functions (aka holes). See Cauchy integral formula. Maybe we should mention that in the explanation. 172.71.154.39 07:29, 10 February 2023 (UTC)