This shows that the statement is true for these examples, but to prove that it is true all the time we can use algebra. Write the first of the two even numbers as \(2n\), where \(n\) is an integer.

This shows that the statement is true for these examples, but to prove that it is true all the time we must use algebra. Write the first of the two even numbers as \(2n\), where \(n\) is an integer.

"Here, tools are applied from the fields of stochastic analysis, algebra and combinatorics ... to solve many different simpler equations and prove certain statements about them.