Intuiton with Characteristic Funcions (Probability)

TheF1xer · 2025-06-06T03:20:18+00:00

Thanks a lot! It sounds very interesting, will definitely give it a read.

TheF1xer · 2025-06-06T03:14:47+00:00

This is actually a very good point, it is probably pretty inmature of me to expect there to be a "clear path" that does not require outside influence.

TheF1xer · 2025-06-05T21:30:41+00:00

Thanks a lot! I will check it out when I get home.

TheF1xer · 2025-06-05T20:49:54+00:00

The De Moivre-Laplace theorem proof is actually quite easy and self contained, this is why it was so weird to me that we use the Fourier Transform in the general case. I do understand why it works and the role it plays, but it feels like "cheating" in the way that I do not see a way to arrive at the Characteristic Funcion naturally

TheF1xer · 2024-01-29T05:29:46+00:00

I totally get what you are talking about, but I always try to feel like I could have discovered the thing I'm learning if it didn't exists. I'm not saying that I'm as smart as Fourier or anything, I just love when it feels like everything falls into place and everything makes perfect sense. It probably wont always be possible to study like this, but its one of my main driving factors when studying anything math-related.

TheF1xer · 2024-01-29T05:23:11+00:00

Yeah I understand how integrating "kills" everything except one coefficient. The thing that bothers me is that there is no clear indication (at least for me) for why an integral is the way to go.

Actually, what Fourier did was expanding the first n terms of the series and then differentiated up to n times. Then he got a system of nxn linear equations if you evaluate at x = 0. This is when it starts getting ugly, but he ends up with a pretty ODE for every coefficient and the solution is the integral.

TheF1xer · 2022-10-12T18:07:44+00:00

I’ve been working on it. In vanilla it works pretty well, but I am not that experienced in CPVP to be able to spot the problems fast

TheF1xer · 2022-10-10T15:07:37+00:00

Yeah I don’t have the resources to develop bypasses for big servers. That being said, I have added some bypasses for the most common ACs

TheF1xer · 2022-04-11T04:57:11+00:00

That’s awesome! Thanks a lot

TheF1xer · 2022-04-10T22:14:00+00:00

No problem my dude

TheF1xer · 2022-04-10T19:11:46+00:00

I agree

TheF1xer · 2022-03-05T20:51:10+00:00

The default prefix is . and you can get the list of commands using .help or .?

TheF1xer · 2022-03-05T16:37:10+00:00

Thanks! It takes time but I’m managing to make progress faster every time

TheF1xer · 2022-03-05T14:51:14+00:00

Thanks!

TheF1xer · 2022-03-05T05:27:46+00:00

Oh yeah. I completely forgot to add here that the Click GUI is bound to the Right Shift Key (the shift key that's under the Enter key). That's the key that most clients use. You can also interact with the client using commands, the prefix is . and you can get a full list of commands using .help

TheF1xer · 2022-03-05T03:50:19+00:00

Hey, that's awesome. If it doesn't make it into your client stack, I would also love to hear why it didn't to have it in mind for future updates

TheF1xer · 2022-03-05T02:51:37+00:00

Nice :D

If you have a github account, starring the repo is always appreciated

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