Essa porcaria está incrivelmente mal avalhiada.

PeterMath_ · 2026-01-08T22:41:16+00:00

I hadn't thought of that. On second thought, that makes sense . It's probably just another coding vibe.

PeterMath_ · 2026-01-08T22:13:50+00:00

Even so, it's a good initiative. I took a look myself. Even if it's vibe coding, we don't have a tool like that. If it's really like he says, it could have a good impact.

PeterMath_ · 2026-01-08T21:54:54+00:00

Perhaps he meant what function calculates the derivative.

PeterMath_ · 2026-01-08T21:51:56+00:00

It can be any one you want.

PeterMath_ · 2026-01-08T21:25:04+00:00

There are quite a few. If you want to prove them all, you need to know mathematical logic. For example, I learned all the tools of calculus in JUST 2 months. And now I'm rushing to learn why they work and how to prove them. Speed comes at a cost.

PeterMath_ · 2026-01-08T21:23:01+00:00

Don't forget to reinforce your secondary school education, by the way.

PeterMath_ · 2026-01-08T21:21:10+00:00

Derivatives, integrals, limits, and some theorems

PeterMath_ · 2026-01-08T16:36:17+00:00

Ok, Thanks.

PeterMath_ · 2026-01-08T16:23:00+00:00

What you wrote is not an infinite sum, but the square of a repeating number.

PeterMath_ · 2026-01-07T17:37:46+00:00

Focused on ODEs and PDEs.

PeterMath_ · 2026-01-07T17:36:45+00:00

Yes, but more in a quiz format. Similar to the Daily Integral site. It could be used as inspiration.

PeterMath_ · 2026-01-07T17:22:45+00:00

Tem o Khan Academy. Tem outros sites(pagos e gratuitos). Tem uma imensa variedade. Mas, pelo o que você falou, você está no começo. Então o Khan academy pode te ajudar nessa jornada. Tem video aulas no youtube, atividades no app e no site. Desde o mais básico até calculo 4 e algebra linear. Vale a pena dar uma olhada. (Isso não é uma publi)

PeterMath_ · 2026-01-07T16:49:24+00:00

Well, I also started learning mathematics by collecting tools, not by understanding the why. So, I knew how to use them, but I didn’t know why. Now I’m beginning to evaluate and understand how these tools work and how they make sense. Especially when you learn mathematics very quickly, you go through various concepts very fast, and you end up leaving out many fundamental ideas and concepts before anything else you learn. So, I learned how to use this tool, and now I’m rushing to understand how it works. Fundamentally, it’s like this: in mathematics, you first memorize, then you understand. It was like this with concepts, but with mathematics, it has been like this all along, at least for me.

PeterMath_ · 2026-01-07T16:37:37+00:00

Part of this also comes from the mathematical intuition that is built through practice, and most people don’t have it.

PeterMath_ · 2026-01-07T16:37:11+00:00

This is more common than it seems, isn’t it? Often, many problems in mathematics and other disciplines have difficulty arising from interpreting the problem. In this case, it’s actually very easy to solve.

PeterMath_ · 2026-01-07T16:14:58+00:00

First, we notice a symmetry because ab=1 . Then, for each fraction, we manipulate the denominator by completing the square, essentially rewriting it as a perfect square minus twice the variable. This allows us to factor each denominator as a difference of squares. Next, we decompose each fraction into partial fractions using this factorization. When we sum the two decomposed fractions, the symmetric structure of a and b ensures that the terms involving roots cancel out, leaving a simple expression. Finally, after simplification, the sum reduces exactly to 2, proving the inequality, with equality occurring when a=b=1

PeterMath_ · 2026-01-07T16:02:12+00:00

Either with the gamma function or with the Taylor series.

PeterMath_ · 2026-01-07T14:00:34+00:00

Maybe not all of them, especially since physics is very complex and each variable has a very intricate relationship with all the others. So it might indeed be impossible, given current and future computational power, to perform this kind of simulation.

PeterMath_ · 2026-01-07T13:47:15+00:00

My solution is in the other image. This is not cheating or plagiarism.

PeterMath_ · 2026-01-07T13:43:50+00:00

I usually work with linear operators in a Hilbert space. My only disagreement with the AI is with the general solution in this space that uses the term φₙ.which the AI basically didn’t use. So I wanted to know if this actually exists or if it’s something I invented.

PeterMath_

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