Alternative exp and log notation

Alternative exp and log notation

The other day I stumbled on an article [1] that advocated writing ab as a↑b and loga(b) as a↓b. This is a special case of Knuth’s up arrow and down arrow notation. Knuth introduces his arrows with the intention of repeating them to represent hyperexponentiation and iterated logarithms. But the emphasis in [1] is more on the pedagogical advantages of using a single up or down arrow. Advantages One advantage is that the notation is more symmetric.…