Recent content by e^ipi=-1

Homework Statement Determine the Christoffel symbol \Gamma^{t}_{xx} for the metric ds^2 = -c^2dt^2 + (1+h\sin(\omega t))dx^2 + (1-h\sin(\omega t))dy^2 + dz^2 The answer should be: \frac{h\omega}{2} \cos(\omega t) Homework Equations For the evaluation we have to use...

Thanks a lot. Pretty stupid I didn't think of that.

The property of the supremum is exactly where I got stuck. I had the feeling that the property holds, but I could't figure out why. Could you tell me?

I already proved three of the conditions but I am stuck on the triangle equality. Also I wanted to see how other people did it.

Could anyone tell me where to find a proof of the fact that the supremumnorm is a norm? The supremum norm is also known as the uniform, Chebychev or the infinity norm.