This document discusses different types of mathematical notation - prefix, infix, and postfix - and provides examples of expressions written using each notation. It also briefly introduces stacks and trees as data structures, then presents two complex mathematical expressions as examples of problems that could be solved using different notations and data structures.

1. Notation
Or how I learned to stop worrying and remove the
brackets

2.  Prefix – + 3 4
 Infix – 3 + 4
 Postfix – 3 4 +

3. Infix
3 + 4 * 5 – 8 / 3 * 9 / 4

4. Prefix
- + 3 * 4 5 * / 8 3 / 9 4

5. Postfix
3 4 5 * + 8 3 / 9 4 / * -

6. Stacks
 Data Structure
 LIFO
 Push & Pop

7. Trees
 Data Structure
 Nodes
 Leaves

8. Problem?
8 3 * Cos 1 + 2 / 12 Sin 2 ^ + 9 5 * 5 9 + 7 / ^
39 2 / 9 4 / Sqrt / - *