Recall the definition of graph : if you can relabel \(G\) to get \(G’\), that they are the same up to relabling.

Using constructor theory to test whether or not gravity in quantum theory is just entanglement.

This solves problem with gravity.

The Great Depression is a period of time of American depression.

Let \(a,b \in \mathbb{Z}\), not both zero. \(\gcd (a,b)\) is the greatest value \(d\) such that \(d|a\), \(d|b\).

greatest common divisor is a linear combination

We can write \(\gcd (a,b) = as+bt\) for some \(s,t \in \mathbb{Z}\).

Let us define:

\begin{equation} S = \{am + bn: m,n \in \mathbb{Z}, am+bn > 0\} \end{equation}

We will first check that \(S\) is non-empty. To do so, let \(a\) be negative and \(b\) be positive. Then, set \(m = -1\), \(n = 1\). We can see that \(am + bn > 0\), satisfying the conditions of the set. In a similar manner, we can demonstrate that regardless of the choice of \(a, b\), \(S\) is non-empty.