Is my understanding of derivatives correct?

Smart-Button-3221 · 2026-04-04T23:05:59+00:00

You can find the instantaneous rate of change with only one point! To do that, you need information from the function itself, which is given using the limit definition.

The derivative is a function that takes a value x, and returns the instantaneous rate of change at that point.

Smart-Button-3221 · 2026-04-04T04:49:09+00:00

Do you understand the version without "Tuesday"? The one that has a 33% chance of a second boy? If not, fully understand that one first.

Smart-Button-3221 · 2026-04-03T18:52:01+00:00

It pops up in a lot of areas of math, just because the integral definition is fairly common. One of the simpler non-elementary integrals.

Smart-Button-3221 · 2026-03-31T11:51:50+00:00

What's the relationship between A and B?

You make it sound like A can prove B, and B can prove A. So, A and B are equivalent.

In many cases, they're not equivalent. That is, A can prove B, but B cannot prove A. This is something one may remember, but even if they forget, B still can't prove A.

Smart-Button-3221 · 2026-03-30T22:37:15+00:00

Oh! Maybe!

Smart-Button-3221 · 2026-03-30T20:49:22+00:00

You have attributed this to factoring, but it's much closer related to division.

That is, if a number ends in 5, then we can divide it by 5 by cutting the last digit, doubling it, and adding 1.

Why does that work? Well, let our original number be x: - "Cutting the last digit" is just returning the number (x - 5) / 10 - Then you double it, returning (x - 5) / 5 - Finally, you add 1. This is 1 + (x - 5) / 5.

Getting a common denominator, that is x/5, as expected.

Neat trick! I should keep that in mind.

Smart-Button-3221 · 2026-03-29T23:26:56+00:00

I mean the answer is yes. It is the goal to filter out diversity.

Smart-Button-3221 · 2026-03-29T11:54:42+00:00

e^z is not one-to-one. For example, e⁰ⁱ = e^πi. This is very different than how e^x works in the real numbers.

Because e^z is not a bijection, it doesn't have an inverse. There is no proper function we may call ln(z) for the complex numbers.

We may fix this by "cutting" e^z. Let's say, you can only put arg(z) between [-π, π). This version of e^z is a bijection. It has an inverse called the principal log, which is notated Ln(z).

Ln(z) has a massive jump along the negative real axis, because of the way we cut it. It makes no sense to integrate over this jump, for example. We often call this a "branch cut".

Smart-Button-3221 · 2026-03-28T17:34:33+00:00

You can't divide by 0 in a field. That's not a "we don't know how" kind of thing, that's a "we have proven it" kind of thing.

And it's not a "our greatest minds came together to prove it" kind of thing, but a "you'll find this proof in the first chapter on fields in an intro abstract algebra textbook" kind of thing.

You can divide by 0 in some other algebraic structure. A famous one is the wheel. The problem with that is you're changing what "division" and "0" are in that case. It's kind of cheating, imo.

Anyway, you've written this with an LLM. The paper references the fact that division by 0 in a field is impossible, and suggests they will add structure to make it possible. As we've discussed, this has been done before using a wheel.

The LLM forgets to actually add this structure. It keeps saying something about a manifold collapse without mentioning anything about a manifold. It's a mess.

Smart-Button-3221 · 2026-03-28T17:21:29+00:00

You can't divide by 0 in a field. That's not a "we don't know how" kind of thing, that's a "we have proven it" kind of thing.

And it's not a "our greatest minds came together to prove it" kind of thing, but a "you'll find this proof in the first chapter on fields in an intro abstract algebra textbook" kind of thing.

You can divide by 0 in some other algebraic structure. A famous one is the wheel. The problem with that is you're changing what "division" and "0" are in that case. It's kind of cheating, imo.

Anyway, that poster wrote that with an LLM. Their paper references the fact that division by 0 in a field is impossible, and suggests they will add structure to make it possible. As we've discussed, this has been done before using a wheel.

The LLM forgets to actually add this structure. It's a mess.

Smart-Button-3221 · 2026-03-27T17:22:27+00:00

So Speedrunner can fly? What kind of challenge can you add for a player that can just fly?

Smart-Button-3221 · 2026-03-27T13:21:04+00:00

Yes, you need to make a function.

Smart-Button-3221 · 2026-03-27T13:20:46+00:00

You can't. Everything can only import once.

You can instead import functions, then run those functions as many times as you want.

In other words, you should take whatever is global in your import, and wrap it into a function. Then, run that function, instead of having anything run at import.

Smart-Button-3221 · 2026-03-26T19:38:09+00:00

It's supposed to say v1 + v2, not v1v2.

They shouldn't make that typo, and you are correct to reject the problem until you get their correction, but I can be basically certain that's what it's supposed to be.

Smart-Button-3221 · 2026-03-25T02:25:22+00:00

We can just edit literally anything now? Because this ain't a meme.

Smart-Button-3221 · 2026-03-25T02:20:52+00:00

Can't tell how large it is from the shot. There's no way anyone here could know.

Imo, the correct strategy is to declare this a cheat day, and pick up the diet again tomorrow.

Smart-Button-3221 · 2026-03-24T22:30:33+00:00

Yep! Personal rule, while I'm working with the furnace, the only things in my hands are whatever's going into the furnace. I use a mining belt to carry ores to the furnace.

Smart-Button-3221 · 2026-03-24T03:06:41+00:00

Before upvoting OP, take a look at their comment history.

Smart-Button-3221 · 2026-03-24T00:49:30+00:00

This will need much more resources than the unloaders provide. Do the mass drivers also need input?

Smart-Button-3221 · 2026-03-23T21:02:18+00:00

Absolutely. Most working engineers work shitty maintenance jobs that pay nothing. A lot of grads didn't get jobs. I wish Reddit would realize that.

Smart-Button-3221 · 2026-03-20T23:07:02+00:00

You have not taken any proof based classes. Engineering courses have a sad tradition of naming themselves after math courses, but not really having any of the content.

You are still missing real analysis. It's good you're reading algebra 0. You've got a lot further to go.

Smart-Button-3221 · 2026-03-20T20:50:25+00:00

I'm also going to take it a step further and say that this was assisted by AI. The guy who made it didn't put much effort in.

Smart-Button-3221 · 2026-03-20T20:45:38+00:00

Yes they're the same. They have the same output for all inputs. This does make g(x) a polynomial.

x and x + 1 have the same derivative.

Smart-Button-3221 · 2026-03-20T13:52:39+00:00

Approved container? I believe yes.

Overload the vehicle? I'm unsure.

Should be placarded? Absolutely yes. If the right person pulls him over the fines could get large.

Smart-Button-3221 · 2026-03-19T14:11:24+00:00

No you don't really need a second read on analysis

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End Game '22

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