The Fundamental Theorems of Interval Analysis

Details The Fundamental Theorems of Interval Analysis The Fundamental Theorems of Interval Analysis

2007-01-22

arxiv.org/abs/cs/0701141v2

Computer Science

Numerical Analysis

8 pages

Scientific paper

Expressions are not functions. Confusing the two concepts or failing to define the function that is computed by an expression weakens the rigour of interval arithmetic. We give such a definition and continue with the required re-statements and proofs of the fundamental theorems of interval arithmetic and interval analysis. Revision Feb. 10, 2009: added reference to and acknowledgement of P. Taylor.

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