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by closed
3821 days ago
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This. Another way to express it is that for an interval [a, b], multiplying two numbers c, d within that interval will be within [aa, bb], and for 3 numbers [aaa, bbb], but it's super convenient to that for a=0 and b=1 these are always [0,1]. Other numbers would work, but would become cumbersome. |
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This only works when a is nonnegative. For example, the range of [-1, 1] under self-multiplication is [-1, 1], not [1, 1].