Recent content by mikfig

Is our space "connected"? I was just reading a book called Introduction to Analysis, and I was curious if our space is connected. I could imagine a universe based on finite geometry. Has this already been proven one way or another? Thanks, mikfig

That's very interesting :D. But just curious, if we did have analytical solutions of things then couldn't we use these functions/equations/whatever together in different forms, get the numerical solutions of those, and find the answers to some rather interesting problems? I mean numerical...

Your comment that our current math can't solve the wavefunctions of higher atoms really piqued my interest. What is the current bleeding edge of mathematical physics/math right now? The only recent news I've seen had to do with someone that solved one of the million dollar problems and turned...

Ok, I think I'm starting to get it. I can't really explain it yet, but my assumption was that the charge being "felt" by the 2nd electron in helium's orbitals (the one being removed) from the nucleus was equal to +1e. And then I also didn't think about the repulsion between the two electrons...

Ehh...I wish that I understood the math/physics behind that. But I'm working towards teaching it to myself right now :D. What I think I do understand though is that the wave function is the the Schrödinger wave equation and I understand what divergence means. But I don't see how you would go...

Ok, so essentially the charges of the proton and the electron don't cancel each other out when it comes to those distances from the nucleus that are considered "in the atom"? Just out of curiosity, do you know what equations I could plot in mathematica of the electrical field inside a helium...

I have had this question in the back of my mind for a while. Hydrogen has 1 proton and 1 electron, and the atom is electrically neutral. So that means that the electrical charge from the electron and the proton cancel each other out as they have equal/opposite charge. Then when you add another...

Issue with the definition of the Hausdorff dimension Homework Statement http://mathworld.wolfram.com/HausdorffDimension.html" involves a n-dimensional Hausdorff measure of 0. I'm having trouble understanding cases that would give such a value. Homework Equations the Hausdorff...

Cool, I think that should work perfectly. Thanks for all the help :D, mikfig

I found that |\textbf{u}(t) \times \textbf{v}(t)| = 5\sqrt{3}t^2 - 10\sqrt{3}t + 5\sqrt{3} : \textbf{P}_1: (1, 3, -1), \textbf{P}_2: (2, 1, 4), \textbf{P}_3: (1, 3, 7), \textbf{P}_4: (5, 0, 2) \textbf{u}_0 = \textbf{P}_3 - \textbf{P}_2 \textbf{u}(t) = (\textbf{P}_3 + t(\textbf{P}_1 -...

damn, i just realized what a stupid statement that was :(. ok you now i see, since they're parallel then the direction is always the same by definition :D

Sorry it has taken me so long to respond, I was merely thinking over your responses. I don't understand here how you say "along t", as t isn't a vector but rather a scalar. As you can see from the picture I attached, I don't think that u and v can be described by any base vectors...

No, I don't have to integrate. I just wanted to solve it this way because its more challenging than just plugging in height and base area to the tetrahedron volume equation. As far as parameterising in terms of vertical height, that is exactly the approach that I am taking. I just didn't know...

Homework Statement Let points P1: (1, 3, -1), P2: (2, 1, 4), P3: (1, 3, 7), P4: (5, 0, 2)...form the vertices of a tetrahedron. Find the volume of the tetrahedron. Homework Equations V = 1/3 ah A = area of base h = height of tetrahedron The Attempt at a Solution I wanted to...