Conference Proceedings

The fundamental theorems of interval analysis

12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, SCAN 2006, Conference Post-Proceedings (2006) 40-47
DOI: 10.1109/SCAN.2006.43
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Abstract

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.

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Van Emden, M. H., & Moa, B. (2006). The fundamental theorems of interval analysis. In 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, SCAN 2006, Conference Post-Proceedings (pp. 40–47). IEEE Computer Society. https://doi.org/10.1109/SCAN.2006.43

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