ELI5: Explain Like I'm 5

Structure theorem for Gaussian measures

Structure Theorem for Gaussian Measure is a special theorem which tells us about how a certain type of measure behaves. The measure it talks about is called a Gaussian measure, which is named after the mathematician Carl Friedrich Gauss. A Gaussian measure is a measure which is very close to a normal distribution and is commonly used to describe certain types of data, like temperature or population size.

The Structure Theorem for Gaussian Measures tells us how these measures can be changed or combined together to make new measures which still have a Gaussian distribution. This means that we can use the structure theorem to change the way data is being looked at, like studying how temperatures and population sizes in different cities are related.