Example Problem 2 - Graphing Rational Functions with Holes Graph the equation {eq}\frac{3x^{2}-x-2}{x-1} {/eq}, including any holes. Step 1: Factor the equation. The numerator can be factored into (3x + 2) and (x - 1). Step 2: Identify common factors. Here, the equation...
The new partition functions are shown to satisfy the expected constraints coming from wall-crossing and S-duality symmetry as well as the black hole entropy based on the Gauss-Bonnet term in the effective action. In these aspects our analysis confirms and extends work of Banerjee, Sen and ...