The p-adic metric is defined on this set of numbers.
A subset of this set of numbers corresponds to the surreal numbers with birthdays earlier than omega; those surreal numbers are the dyadic type of this number. The p-adic metric is defined on this set of numbers. Every field of characteristic zero contains this set as a subfield. The indicator function of this set is sometimes known as the Dirichlet (dee-ree-KLAY) function. Snaking through a two-dimensional array of these numbers at an angle gives the diagonalization argument that Cantor used to show that this set is countable. This set can be constructed as equivalence classes of ordered pairs from the set of integers called its field of quotients. For 10 points, identify this set of numbers that can be expressed as integer fractions.
A subset of this set of numbers corresponds to the surreal numbers with birthdays earlier than omega; those surreal numbers are the dyadic type of this number.
rational numbers [or Q] &lt;Thompson&gt;