Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns ...

This is an expository paper on the use of logarithmic Sobolev inequalities for bounding rates of convergence of Markov chains on finite state spaces to their stationary distributions. Logarithmic ...

Forbes contributors publish independent expert analyses and insights. I help people communicate data clearly with graphs. In “When Should I Use Logarithmic Scales in My Charts and Graphs”, I showed ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

Microsoft's Excel spreadsheet program includes a Chart Wizard for making a variety of graphs from tabulated data. In some situations, as with scientific experiments, the data in one or both axes of ...