A similar phenomenon arises in trying to bound the error of a numerical computation by running it using interval arithmetic. The result is conservative, but sometimes useful. However, once in a while one applies it to a slowly converging iterative process that produces an accurate answer. Lots of arithmetic leads to large intervals even though the error to be bounded is small.
A similar phenomenon arises in trying to bound the error of a numerical computation by running it using interval arithmetic. The result is conservative, but sometimes useful. However, once in a while one applies it to a slowly converging iterative process that produces an accurate answer. Lots of arithmetic leads to large intervals even though the error to be bounded is small.