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Re:The Fundamental Axiom of Floating Point Arithmetic by augustt on Wednesday August 05, 2020 @03:37PM (#24064680)
I'd say not only is fundamental, it's pretty much the only tool you have to start the analysis of an FP algorithm. If you want to analyze a naive sum algorithm for instance you do that by recursively applying the a ⊕ b = (a + b)(1 + ε) rule and figure out how the epsilons bubble up - the result being that the error is linear with the sum length.

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