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> You can map all the real numbers to the interval 0 <= x < 1. Even easier use a well-established function such as arctan to map the reals bijectively to the i
by red_trumpet 5y ago
> You can map all the real numbers to the interval 0 <= x < 1.
Even easier use a well-established function such as arctan to map the reals bijectively to the interval -π/2 < x < π/2, and then scale and shift the interval to 0 < x < 1.
- plus 5y agoThis allows you to map the real range (0, 1) to (-infinity, infinity). It does not allow you to map the integers to the reals.