Recent content by maze

Physicists take taylor series _all the time_ and don't think twice about it.

You are asking this on PHYSICSforums.com,...

Yes, of course. F:R3->R3, \Gamma:[0,1]->\textbf{R}^3

The path integral of force is the work, something that has a clear physical meaning we can relate to. My question is, what is the physical interpretation for the L2 norm of the force along a path? (integral of the force squared, basically): \left(\int_\Gamma F \cdot F \right)^{\frac{1}{2}}...

Brute force??

edit: nm

It is the integral over all of Rn. For example, if n=3, then \int_{-\infty}^\infty \int_{-\infty}^\infty \int_{-\infty}^\infty f(x,y,z) dx dy dz, which is also written in more compact form as \int_{\textbf{R}^3} f(\textbf{x}) d\textbf{x}

This sounds like a task more suited for something like Matlab or Maple or Mathematica, though something like Java or Python would also work.

I don't think so. For example, you could imagine a world where one hemisphere is all land and the other is all water, in which case the answer would be zero.

You can find a conformal map from any open polygon to the open unit disk using the Schwarz Christoffel mapping, http://www.math.udel.edu/~driscoll/research/conformal.html The key thing being that they are open (boundary not included), so that the corners are not a problem.

Anyone else remember that BK ad where the King and Darth Vader are facing off, breathing at each other for like 30 seconds, and that's the whole ad?

There are no such things as physical constants: they just think if they don't move Chuck Norris won't see them. Chuck Norris can recite pi - backwards. Chuck Norris once fought Yoda, Darth Vader and the Emperor simultaneously. After he'd thrashed them all, he made them draw diagrams...

If you drilled at a random place, how likely is it that you would hit land on the other side, as opposed to ocean?

Are you sure? From an extreme n00b point of view, it would seem like space would be warped slightly differently depending on whether it is a singularity or a wormhole. The picture I have in my mind is the difference between a cone and a hyperboloid of one sheet.

I'm not really a fan of txtspeak and l33t and all of that, but then again, who are we to tell people how to communicate with one another? The "rules" of english are nothing more than a Frankenstien-esque amalgamation of hundreds of years worth of random conventions. What's important is that the...