Commonly Encountered Distributions in Materials Science and Engineering
摘要
Discrete and continuous distribution functions are ubiquitous in materials science, engineering, and natural sciences. In this chapter, an overview of commonly encountered distribution types is given, along with their mathematical forms and the statistical characteristics such as expectation values and moments. Python examples show how to use these probability and cumulative functions and how to sample random values from such distributions. Furthermore, examples of typical applications in materials science, engineering, and physics are given.