Notation systems are structured ways of representing information, often using symbols or characters to convey meaning. They are essential in various fields, such as mathematics, music, and computer programming. For example, in mathematics, notation helps express complex ideas succinctly, like using symbols for operations (e.g., + for addition). In music, notation systems allow composers to write down their compositions so that musicians can perform them accurately. Each note, rest, and dynamic marking provides specific instructions on how to play a piece. Similarly, in computer programming, different languages have their own notation systems that dictate how code is written and understood by computers.