Picture of the Rational Numbers: Dense but Not Complete
Joe Frank Allison
Abstract
Joe Frank Allison
Abstract
The rational numbers have the propty that for any two distinct rational numbers, say a and b, with a < b, there ists another rational number c, distinct om both a and b and such that a << b. For example, c = (a + b)/2 is such a number.
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The rational numbers have the propty that for any two distinct rational numbers, say a and b, with a < b, there ists another rational number c, distinct om both a and b and such that a << b. For example, c = (a + b)/2 is such a number.
Key concepts: Rational number, Mathematics, Rational point, Combinatorics, Algebraic number, Mathematical analysis