Comment by mg
6 hours ago
How did you test the output of Math.random() for transcendence?
When you apply the same test to the output of Math.PI, does it pass?
6 hours ago
How did you test the output of Math.random() for transcendence?
When you apply the same test to the output of Math.PI, does it pass?
All floating point numbers are rational.
Well, except for inf, -inf, and nan.
and, depending on how you define the rationals, -0.
https://en.wikipedia.org/wiki/Integer: “An integer is the number zero (0), a positive natural number (1, 2, 3, ...), or the negation of a positive natural number (−1, −2, −3, ...)”
According to that definition, -0 isn’t an integer.
Combining that with https://en.wikipedia.org/wiki/Rational_number: “a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q”
means there’s no way to write -0 as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.