Tag: Euler Mascheroni Constant

• The Gumbel Distribution, Extreme Rainfall, and the Euler–Mascheroni Constant

  

  Nature doesn’t just have averages; it has extremes—the hottest day, the strongest wind, the largest daily rainfall, the highest flood. For extremes, a universal statistical law often appears: the Gumbel distribution. In this post, we meet it through a simple and realistic story about annual maximum rainfall, learn how a basic normalization makes its shape…

  Michael Emmerich

  October 13, 2025

  Computational Science, Mathematical Playground

  ai, Coupon Collector, Euler Mascheroni Constant, Gumbel, Gumbel distribution, machine-learning, mathematics, probability, Probability Theory, python, Statistics, Weather Statistics

• Of Autumn Leaves and Coupon Collectors

  Essay by Michael Emmerich, October 11th, 2024 Imagine a peaceful autumn day where leaves gently fall, covering a patch of land. The land can be represented as a grid or matrix with distinct places, each starting uncovered. As the leaves fall, they randomly land on one of these places, gradually covering the ground. But how…

  Michael Emmerich

  October 11, 2024

  Computational Science, Mathematical Playground, Small Python Math Examples

  Autumn Leaves, Coupon’s Collector, Euler Mascheroni Constant, Mathematical Playground, mathematics, Natural Logarithm, Probability Theory, python, Random Processes