# Half

I i somet big th 0 an smal th 1. Sym fo ha i ½.

Of glasses containing liquid, it is referred to as "~ full" or "~ empty", depending on whether you know that particular mind trick yet or not.

${{}^{1}}/{{}_{2}}={\mbox{half}}\iff {{}^{1}}/{{}_{2}}\times 2=1$ ## Magic formula for half

${\frac {1}{2}}={\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}={\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}={\frac {\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}{{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}+{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}}}={\frac {\frac {\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}{{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}+{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}}}{{\frac {\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}{{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}+{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}}}+{\frac {\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}{{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}+{\frac {\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}{{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}+{\frac {\frac {1}{2}}{{\frac {1}{2}}+{\frac {1}{2}}}}}}}}}}$ It's a mountain of 1 and 2. Compare with 2 (number)