👉 Computing ranges, also known as range computations or interval arithmetic, is a method used in numerical analysis and computational mathematics to estimate the possible values of a function or result when dealing with uncertain or imprecise data. In essence, it involves calculating the minimum and maximum possible values of a function by considering the ranges of its input variables. For example, if a function f(x) is known to be continuous over an interval [a, b], the range of f(x) over this interval can be approximated by evaluating f at the endpoints a and b, i.e., the range is [f(a), f(b)]. This technique helps in assessing the reliability and accuracy of numerical computations, especially when dealing with approximations or estimations where exact values are not available. By providing bounds on the output, computing ranges can help identify potential errors or inaccuracies in calculations and guide decision-making in fields such as engineering, physics, and finance where precision is crucial.
