Recent content by micromass

Sure, but you actually need to prove that the standard topology on ##\mathbb{R}## satisfies the axioms of a topology! Once you did that, it's fine. But you can't just use the axioms without verifying them, like Orodruin wanted to do.

Try to prove that a finite space is Hausdorff if and only if it is discrete. That's a fun exercise.

And not by definition for open sets in ##\mathbb{R}^n##, in which the OP is working. In that case, it actually needs a proof. And if it's not proven, the OP cannot use it.

Well, you could write some kind of simulation. Like simulate a solar system, a chaotic double pendulum, etc.

Are you good with programming?

Isn't this just a trivial application of the mean value theorem?

OK, good. So here's the thing. You're missing a lot of background. So I see three options for you: 1) You want to read something about QM now. Then you'll have to read some popular science texts. 2) You read the little bit of QM that can be found in introductory physics books like in Halliday...

And many scientists were devout religious people and indicated doing science to understand the divine. I don't get what you're arguing against. So your OP is inaccurate since hollywood wasn't the one who decided to mix religion and science. It happened way before that.

It's sad that you see things this way, since religion did cause quite some progress in both math and science, even though nowadays they only focus on the negative relationship between the two.

It's not just Hollywood. Math and the divine have always been linked throughout the ages. Numbers have been ascribed different divine meanings. For example, in christianity we have 3, 7, 13, 666 (or 616). Every religion has linked numbers with the divine, some go more into it than others. The...

You're in high school right?

I don't get why you ignore the very specific questions I asked you? Are you that busy?

Please tell us the following: 1) What math do you know? 2) What physics do you know? 3) Why do you want to study QM? 4) What do you think QM is about?

Inverse function theorem? Sections of the tangent bundle? It really depends on what you have seen already.