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A brief introduction to interval arithmetic
Why x^2 isn't always x*x.
It works kinda like multiplication, except if the dividing interval spans 0, the result is undefined. While a bunch of FP computations will always give you an exact number, but it could be very far from the actual answer. The father of the IEEE-754 standard, William Kahan, wrote an essay about why interval arithmetic can't replace FP.
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