How to Graph a Function in Excel. A mathematical function is a formula that takes an input, x, applies a set of calculations to it, and produces an output called y. By calculating a function at a ...

In particular this yields an approximation for the partition function of the continuous hard core model on a regular graph with large girth in the case λ = 1. The purpose of The Annals of Probability ...

Previously suggested methods for constructing confidence bands for cumulative distribution functions have been based on the classical Kolmogorov-Smirnov test for an empirical distribution function.