This document discusses the luminosity function (LF) of galaxies, which measures the number of galaxies per magnitude interval. It defines mean and specific LFs and explains why LFs are important for understanding galaxy spatial distribution, geometry of the universe, and testing formation scenarios. The LF can also be used to test the Tully-Fisher relation for disk galaxies. Dynamical friction causes galaxy evolution over time, leading to variation in LFs between clusters and within individual clusters. Early type galaxies have higher LFs in clusters, while spirals have similar LFs in fields and clusters.