Interval Calculator: Working with Interval Union Arithmetic
By
fouronnes3
Crisp on the outside, thoughtful on the inside. A keeper.
Summary
This article describes an interval calculator that operates on unions of intervals rather than just real numbers. It implements Interval Union Arithmetic, where intervals represent sets of numbers between endpoints, and interval unions are disjoint sets of intervals. The article explains that interval union arithmetic is an extension of regular interval arithmetic that remains closed while supporting division, making it superior for certain mathematical operations.
Key quotes
· 4 pulledThis is a calculator that works over unions of intervals rather than just real numbers.
An interval [a, b] represents the set of all numbers between and including a and b.
An interval union: [a, b] U [c, d] is a disjoint set of intervals.
Interval union arithmetic is an extension of regular interval arithmetic that is vastly superior, mostly because it remains closed while supporting division.
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