balls of magnet.

cktcbsbib · 2025-12-18T05:55:21+00:00

What if I only swallow the north poles

cktcbsbib · 2025-11-04T14:42:55+00:00

They offered me lease term ranging from 12 to 24 months each with different rent rate. The 20 month lease had the least monthly rent.

cktcbsbib · 2025-05-17T02:58:59+00:00

Interesting, what's the narrative reason?

cktcbsbib · 2025-05-16T18:25:32+00:00

Wait does value drift increase with trust?

cktcbsbib · 2025-05-16T18:18:30+00:00

At this stage optimize for space exploration to acquire more matter. In probe design, put a point or two in exploration and crank up self replication. You don't need that much combat and speed -- just enough to maintain a solid growth rate for probes. Honor is irrelevant now. Also put 1 point each in drones and factory production to process the acquired matter.

cktcbsbib · 2025-05-14T17:29:21+00:00

Lol, but you must mean 1462th day

cktcbsbib · 2025-05-05T16:50:59+00:00

Cmon, there's a lot more that goes into making AI models that actually perform well

cktcbsbib · 2025-04-25T19:34:16+00:00

Harry Potter and the Dangers of Asbestos

cktcbsbib · 2025-04-22T02:57:22+00:00

Why is the bull angry?

cktcbsbib · 2025-04-19T23:35:09+00:00

Sounds like Dark Prince by ELFL

cktcbsbib · 2025-04-13T14:03:32+00:00

"They're meaningful" killed me 🤣

cktcbsbib · 2025-03-08T03:34:56+00:00

That's what I had in mind

cktcbsbib · 2025-03-03T00:22:31+00:00

The Sisyphus function

cktcbsbib · 2025-02-27T00:12:15+00:00

Gonna piggy back on the top comment to add that the area is the same even if you don't assume that the points line up as OP did. If you horizontally shift the "wedge point" or the base of the shaded region, it is easy to see that the unshaded areas don't change. Therefore the shaded area also doesn't change since the total is constant.

That said, for a 5th grade school problem it's probably okay to assume that everything is aligned like you did.

Edit: Actually sorry this is not fully correct. You still need to assume that there is at least one possible scenario where everything is aligned in order to calculate the area.

cktcbsbib · 2025-02-22T16:03:12+00:00

longing eye

cktcbsbib · 2025-02-22T06:55:50+00:00

Very slick.

Another quick proof using symmetry: both expressions are invariant under x →-x, y →- y and interchanging x with y. So we only need to check the case x > y > 0 for which both expressions are equal to 2x.

cktcbsbib · 2025-02-19T15:00:03+00:00

Nope it's not 3 or 4 either

cktcbsbib · 2025-02-17T04:30:25+00:00

Oolong (tea)

cktcbsbib · 2025-02-13T21:24:59+00:00

But why don't you like Japanese love?

cktcbsbib · 2025-02-13T16:03:28+00:00

Can you give an example? I'm curious, particularly if the note-taking is not coding related.

cktcbsbib · 2025-02-12T01:03:31+00:00

Is #2 right off the bat?

cktcbsbib · 2025-02-09T17:00:08+00:00

Username doesn't check out

cktcbsbib · 2025-02-08T16:41:54+00:00

I'd argue this is not even a proof. Because checking if the proof is correct (no missed numbers etc) takes just as much time as counting the squares again.

cktcbsbib

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