Oh, I think I get it now. I guess I was confused about the distinction between the axioms themselves and 'the model' to which they are applied. Thanks, everyone.
Hi.
I'm reading a simple introduction to groups. A group is said to be a set satisfying the following axioms (called the 'group axioms'):
1) Associativity.
2) There is a neutral element.
3) Every element has an inverse element.
4) Closure.
My questions is simply: why are they...
Hi.
How can I "experimentally" (by way of computer simulation) calculate an approximate value for the dimension of a fractal object? The object in question is the Lorenz strange attractor, which has a dimension between 2 and 3.
Also, I know there is a number of different ways to define...
Hi,
Does anyone know a reason why \int_{-\infty}^{\infty}\cosh(x)^{-n}dx (n>0) can be evaluated analytically when n = 1,2,3,..., but only numerically when n is non-integer. I don't know if there is a "reason", but I'm using this result in a Quantum Mechanics project and it would be cool if I...