mathematics-lua

Mathematical snippets for studying and testing different mathematical principles from our studies at TU Berlin.

Executing

luajit <file>

or if you use PUC Lua:

lua <file>

Topics

1. Faculty

$$ n!:=\prod_{k=1}^n k=1 \cdot 2 \cdot \ldots \cdot n $$

2. Binomial coefficient

$$ \binom{n}{k}:=\prod_{j=1}^k \frac{n-j+1}{j}=\frac{n(n-1) \cdot \ldots \cdot(n-k+1)}{1 \cdot 2 \cdot \ldots \cdot k} $$

3. Sequences

A sequence is formally defined as a function whose domain is an interval of integers.