"monotonically worse" means it never gets better. "worse" without "monotonically" means it may get better for a bit, but overall it will be worse. https://en.w

"monotonically worse" means it never gets better. "worse" without "monotonically" means it may get better for a bit, but overall it will be worse. https://en.wikipedia.org/wiki/Monotonic_function https://en.wikipedia.org/wiki/Monotonic_function