202405281521
Status: #idea
Tags: Probability Theory
State: #awakened

Indicator Functions

The indicator function defined over a set $A$ $\subseteq \Omega$, is a function that is $1$ when some input $x$ is in the set $A$ and $0$ otherwise. $$I_A: \varOmega \to {0,1}$$

It is the most simple example of a random variable. It sounds so simple as to be useless, but it is actually a really useful function in mathematics.

It has the underlying properties:
There was an image here, but it got corrupted

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