Problem of the Month

• Everyone is welcome to participate, but only undergraduate OU students are eligible for the prizes.
• At the end of the academic year, a prize will be awarded to the undergraduate OU students with the most correct solutions.
• A complete solution to the problem must include a proof.
• Solutions to the Problem of the Month can be submitted in the Math Department's office (PHSC 423), or via email to nickmbmiller [at] ou [dot] edu
• Make sure that your submission includes your name and OU email.
• The deadline for submission is the last day of the month.
• The problem of the month during the summer months of May, June, July, and August will not be graded and are just for fun.

Winners of the academic year 2022/23 are Matthew Hudson and Jacob Norris.

May 2024

Funky functionals

Suppose that f and g are two functions from the natural numbers to themselves for which f(g(n))=f(n)+1 and g(f(n))=g(n)+1. Show that f(n)=g(n) for all n.