I know how to obtain surreal numbers in n-day and I know about <= in surreal numbers axiom 2. We will also discover a lot of new representatives for well-known values. For example : $\{-1|1\}=0$ or $\{1/2|2\}=1$ , ... But I'm confused with some new representatives for example :$\{-2|1\}=0$. Why is not it equal to $-1$ or what is $\{-3|3/4\}=?$ or what is $\{1/4|3\}=?$
Do Anybody know all solution about them(equivalence representatives)?
Note:Please for answer ,don't example to surreal numbers origin representive {0|1}=1/2 or etc. I know about it . I want to know equivalence or new representatives for example $\{-2|1\}=?$ or $\{-4|3/4\}$ or etc...
$\{a\mid b\}$ always represents the earliest surreal number $x$ (as defined by which day it first appears) such that $a<x<b$ (this also generalises quite naturally to when the left and right sets are not singletons). For instance, if $a$ is negative and $b$ is positive, $\{a\mid b\}$ always represents $0$. As I mentioned in my answer to your other question about surreal numbers, this can get very tedious to check manually for all but the simplest examples.