Recent content by polydigm

First a question. Is everyone here setting c=1 in their calculations? I was taught ds2=c2dt2-dx2, with ct as time axis in Minkowski space. On the discussion earlier about rates of ageing, I agree with the notion that these are not different in different frames. The twin leaving at age 20 and...

Just as haruspex says. Perhaps pernickety but the units of temperature are kelvins not degrees Kelvin.

He did contradict the claim that T and E have different units. In what way are K and J the same?

The units of entropy are J/K.

The radius of convergence of \sum\limits_{k=1}^\infty\displaystyle\frac{z^n}{n} is 1. It converges on all of the boundary \partial B(0,1) except at z=1. One way of looking at this is to analyse \sum\limits_{k=1}^\infty\displaystyle\frac{\cos n\theta}{n}+\frac{\sin n\theta}{n}. You can see the...

Yes, whoops, I didn't explain that very well. The point is that decimal numbers are not irrational, and I've had students who think that decimal numbers are just another name for real numbers.

Just in case, by way of saying hello, probably anyone who comes here doesn't need to be told, but there will never be any termination of that number. If there was, that would mean pi was rational, but it isn't. Perhaps next time you see the guy at the market, you could point that out, just...