Grammatically, parentheses must be balanced, meaning every open parenthesis ‘(‘ must eventually be followed by a close parenthesis ‘)’. Parentheses can be nested, meaning there can be parentheses inside parentheses. If we were to take a piece of writing and remove all letters and punctuation except parentheses, we might end up with something like: ()()()(())()(),…
Tag: number theory
Ways of scrambling a message: Permutation polynomials over the integers mod n through the lens of monoalphabetic substitution ciphers
When Julius Caesar was on his military campaign in Gaul, he sent coded messages by courier back to Rome using a simple cipher. The so-called Caesar cipher is a letter shift by three places. In other words, every instance of the letter A gets replaced with the letter D, B gets replaced with E, C…
