Recent content by jobsism

EDIT:- My question earlier was in error. I've edited the question accordingly and my required set of Diophantine equations is the one given below:- For a problem that I'm working on, I need to solve the following system of Diophantine equations:- a^3 + 40033 = d b^3 + 39312 = d c^3 + 4104...

That's no way to speak to a Mentor of PF. Please do note that it's the OP's duty to provide the relevant info pertaining to a question, for receiving optimal advice on it. We're not superhumans to mind-read things. Besides, I don't see you contributing in any way. To the OP: "Basic...

I found this paper, which is a supposed "proof" of Fermat's Last Theorem, while I was doodling around online. I would have normally ignored it, due to the vast quantity of crackpot proofs that are available on the subject. But the author of this proof (someone named Andrew H. Warren) claims in...

Thank you so much, oli4! I understand how it works now. :smile:

I'm sorry, but I still don't understand. Aren't we picking 1 ball from an infinite number of red, green and blue balls? The answer would be 1/3 if there were exactly an equal number of each of the balls. But since there's an infinite number of each of them, how can we compare the infinite number...

Because I thought that in this case, the number of red, green and blue balls would all be infinitely many, and so the probability computation would essentially involve infinity, making me doubt the question's validity. I mean, in this case, by definition, P(picking a green ball) = (No of...

Is it meaningful to speak of probability in cases of infinity? For instance, consider me having an infinite line of balls arranged in the manner: - Red, Green, Blue, Red, Green, Blue, Red... Now, I'm picking a ball randomly from this line. Am I allowed to ask the question, "What is the...

Yes, I understand that much. Oh, sorry! I meant the former.

Homework Statement Imagine a function: f(x) = x + sin(x)/K where K is pi cubed. Suppose f(x)^n means f(f(f(f(...f(x))))) n times. Find the value of lim n->infinity f(x)^n Homework Equations The Attempt at a Solution I have no idea on where to start. Can anyone give a hint...

News just came out from a press conference, that the "god particle", a.k.a, the Higgs Boson has been affirmatively discovered. Analyzing the results of trillions of high energy collisions that took place in particle accelerators, physicists concluded that the higgs boson particle (or a particle...

I'll give my thoughts on this, but it's up to the OP and other physicists to decide if I'm right (or wrong for that matter). I'm not a physicist, and I apologise for the potential blunders I might make in the following statements. A point I'd like to address is that the conversion of...

Oh yes, I indeed meant a soap bubble! Sorry about the poor wording. :redface: Thank you so much for the explanation! I was under the impression that random collisions with air molecules could be considered symmetrical. And I overlooked the downward drag of the soap film too. I just started...

What actually causes the bursting of a spherical air bubble? Is it because of the random collisions of air molecules with the bubble? But if that's the case, shouldn't the collision effects be symmetrical? I mean, if air molecules are colliding at one point of the spherical bubble, it's...

The image is pending approval. That's why I can't view it. Yes, I'm already aware of that site! It's one my favourite bookmarks! :!) I believe this book isn't there though. I've sent the PM.

I can't see the cover, but I'm a huge fan of MIR Publishers' books, having read Perelman and Landau. It would be really great if you could share it with us! :smile: