# “Real” Analysis Is a Degenerate Case of Discrete Analysis

```@inproceedings{Zeilberger2004RealAI,
title={“Real” Analysis Is a Degenerate Case of Discrete Analysis},
author={Doron Zeilberger},
year={2004}
}```
There are many ways to divide mathematics into two-culture dichotomies. An important one is the Discrete vs. the Continuous. Until almost the end of the 20th century, the continuous culture was dominant, as can be witnessed by notation. An important family of Banach spaces of continuous functions is denoted by L , with a Capital L, while their discrete analogs are denoted by the lowercase counterpart l. A function of a continuous variable is denoted by f(x), where the continuous output, f , is…
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