Perhaps we misunderstand each other. I'm saying that the mathematical optimization method differs from the algorithmic paradigm, as explained on this Wikipedia

Perhaps we misunderstand each other. I'm saying that the mathematical optimization method differs from the algorithmic paradigm, as explained on this Wikipedia page for example: https://en.wikipedia.org/wiki/Dynamic_programming https://en.wikipedia.org/wiki/Dynamic_programming. That is to say, they serve different purposes and are distinct concepts. They sure have the same fundamental basis laid out by Bellman, but the applications have diverged quite a bit. Do you mean to say that these two concepts also have exactly the same meaning?