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op\mathrm{op}

Why this formula appears here

where u is the unit roundoff — roughly 10^{-16} for standard double precision — and op\mathrm{op} is addition, subtraction, multiplication, or division. Each single step, in other words, is correct up to a tiny, precisely bounded relative error.

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op\mathrm{op}

Equation 4 · Mathematics

How Mathematics, Proof, and Scientific Computation Actually Work

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

where u is the unit roundoff — roughly 10^{-16} for standard double precision — and op\mathrm{op} is addition, subtraction, multiplication, or division. Each single step, in other words, is correct up to a tiny, precisely bounded relative error.

Equation guide → · Article →