Floating-point arithmetic is a cornerstone of numerical computation, enabling the approximate representation of real numbers in a format that balances range and precision. Its widespread applicability ...

This paper first exposes some of the defects in the interval arithmetic algorithms of Moore and Krückeberg. Then it identifies classes of problems on which these algorithms compute "optimum bounds".

Many people experience mathematics negatively. Many more students have difficulty in performing basic arithmetic operations that may ultimately exclude them from full participation in society (Moses, ...