(for ).

If , then the interval degenerates to a real number a, i.e. . In this way, interval mathematics can be considered as a generation of real numbers mathematics. However, only some of the algebraic laws, valid for real numbers, remain valid for intervals. The other laws hold only in a weaker form. For example, a non-degenerate interval  has no inversion with respect to addition or multiplication. Even the distributive law has to be replaced by the so-called subdistributivity

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