Recent content by Quisquis

It gets the intuition juices flowing. :biggrin:

You're demonstrating the idea of a limit. As you measure more and more accurately, you approach the actual value of the measurement. Think about it on larger scales. I have a car that only measures in 100 mile increments. Either I've traveled 100 miles or zero or 200 miles etc..., but not...

You pick a door, and there's a 1/100 chance that it's the correct one. Do you really think you picked the right one, or do you think it's the one other door that the host didn't open? In this case there's a 1% chance you picked the right door, and a 99% chance that the other door is right...

Heh... problem #1 on the homework involved just that. It didn't occur to me at all to use here though. Thanks!

Homework Statement Find an equation of the form Ax2+By2+Cz2+Dxy+Exz+Fyz+Gx+Hy+Jz+K=0 Satisfied by the set of all points in space, (x,y,z), whose distance to the origin is equal to their distance to the plane x+y+z=3. Based on what you know about parabolas, what does this collection of points...

I guess I don't have much to say about this other than it's pretty amazing if it's true and I wanted to bring it to everyone's attention here. http://www.sciencedaily.com/releases/2010/09/100909004112.htm http://arxiv.org/abs/1008.3907

I did expand both sides for the first part. I'm satisfied with that (it's a full page lol). I know (bxc) is perpendicular to the plane defined by b and c. Is the final resulting vector parallel to the plane defined by b and c (thinking about it, it seems like it would be)?

Homework Statement Show that ax(bxc)=(a*c)b-(a*b)c. Why is it reasonable that ax(bxc) is some combination of b and c? [The * indicates the dot product in this case because I can't find the appropriate latex symbol] The Attempt at a Solution I've shown the first part, but have no...

seriously? I'm aware of their existence, but I've never read them.

You could go with orbiting a cool white dwarf; it's roche limit should be something you can work with. Then you'd need to explain why it's not hot though. It could have a Dyson sphere put around it by mysterious long gone aliens! Just a couple of thoughts.

It's pretty hard to have a story about people living on a planet that's being split in two when the split is essentially instantaneous and kills everything on the planet. Roche Limit's your best bet, but you won't get two even halves from it. It would be pretty much impossible for you to get...

How is that not defined for n=0? (0+1)!=(0+1)*0! 1!=1*0! 1!=0! Which is true.

About to take calc 3 this semester with that book. You'll be fine with a solid knowledge of trig and algebra. Everything else you listed will be walked through as you come across it.

From what I understand, you can't treat the differentials in partial differentiation the same as you do a regular differential.

I have an experiment for you to try that might help you understand how if the radius of a sphere extending to infinity means that you have created a flat surface: Take a piece of paper and roll it up into a cylinder. This cylinder has a defined radius. Now take the edges of the paper that you...