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What is Completeness and Least Upper Bound about?

The document summarizes key concepts related to completeness and least upper bounds of real numbers. It defines completeness as a property of ordered fields where every monotonically increasing sequence that is bounded above converges. The real number system R is the only field that satisfies completeness. It also defines least upper bounds and greatest lower bounds of sets and provides an example of finding the supremum and infimum of a set.

Author

台師大黃靖恩

Language

EN