Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. There are two main reasons to use logarithmic scales in charts and graphs. The ...

This is a preview. Log in through your library . Abstract We derive the full phase diagram for a large family of two-parameter exponential random graph models, each containing a first order transition ...

In this article, we prove an inequality between the ratio of the extended logarithmic means and the ratio of the exponential means. The proof is based on an inequality between logarithmic mean and one ...