By Steven Roman (Inspired by his lifelong work in mathematical literacy)
In Shannon’s world,
When most people hear the word "code," they think of spies, secret languages, or JavaScript. When they hear "information," they think of news or data. But in the mathematical universe, these two concepts are married in a beautiful, rigorous dance that underpins every text message, every streaming video, and every photograph from Mars. Introduction To Coding And Information Theory Steven Roman
[ h(x) = -\log_2(p) ]
When your data corrupts, you are witnessing a violation of the Hamming distance. When your compression algorithm bloats instead of shrinks, you are witnessing low entropy. By Steven Roman (Inspired by his lifelong work