Interval Arithmetic
Interval arithmetic is trickier in than in . However, the result of an arithmetic operation on intervals is always an interval. In particular, we have, for every :
which is true even when the intervals involved include 0.
Read more about this topic: Real Projective Line
Famous quotes containing the words interval and/or arithmetic:
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“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (1848–1925)