Danica McKellar does graphs

We began our reading of Danica's paper and concluded that Danica was sending four tops spinning down Gibb's mountain, and they had to find a path through without bumping into a bad spin, a spin the tips you of the right path. Let's continue our story.

We begin with a description of a general Ashkin–Teller model on an arbitrary graph with spins at each vertex. There are four possible spin types, labelled: blue, red C , yellow, and red − . The spins may be regarded as lying equidistant on the unit circle, occurring clockwise in the order just named, with blue at 12 o’clock. There is complete symmetry around the circle, so that interactions receive energy assignments based solely on the relative positions of the spin colours on the circle. Here the model is ‘completely’ ferromagnetic: colours opposite to each other receive the highest energy assignments; the like–like interactions the lowest, and the adjacent colours receive an intermediate energy. Without loss of generality, we may set this intermediate energy level D 0. For positive K h i;j i , k h i;j i , we set the like–like interaction between sites i and j along the edge h i;j iD k h i;j i − K h i;j i , and the interaction for spin pairs with colours opposite to each other to k h i;j i . Although the Z 2 Ashkin–Teller model in our theorem has uniform couplings (and at most one edge between any two sites), some of our proofs will use the flexibility of multiple edges between sites and nonuniform coupling constants. In this paper, we confine attention to the parameter region k h i;j i 6 K h i;j i = 2 for all h i;j i .

Clicking through we get:

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.^[1]

So here we are, Danica is teaching us about restricting sets to certain properties, type them. And we are going to use a graph, we are going to make a graph representation of the belief function of a top going down Gibb's mountain.  The graph will say, "Hmm, go left here with a .75 probability.!".  How did these tops ever figure this out?

Danica you are my pick to be VP Marketing for the banker bot company.  The issue here is who can we trust to get banker bot safely into our pocket. 

My pick for CEO is still George Selgin, and he can bring his VP of engineering. That leaves our number one recruit, we want Matilde Marcolli, and her graduate students. This is the win-win team, Card Logix would be putty with these guys in charge of depolyment. All of the bankers, immediately on board. This is Google squared, I know this business.

Can I get these folks excited about this? Hmmm...