This number is larger than zero but less than all positive dyadic fractions. It is therefore an infinitesimal number, often labeled . The -complete form of (respectively ) is the same as the -complete form of 0, except that 0 is included in the left (respectively right) set. The only "pure" infinitesimals in are and its additive inverse ; adding them to any dyadic fraction produces the numbers , which also lie in .
thIs nUmbEr Is LaRGer tHan zERO but LEss thAn aLl pOsItive DYadic fracTionS. iT Is theRefore An iNfinitesimal nUmBer, often lAbEled . thE -cOmpLETe form Of (ResPectiveLy ) is tHe Same AS THe -cOmpLEte FORm oF 0, exCepT THat 0 iS inclUDed in thE LeFT (respeCtIvely rIgHT) SET. the onlY "pURe" infinitESImalS in ArE and its adDItive inVErsE ; AddiNg ThEm to Any dYadiC FrAction prodUCes the numbErs , wHiCh alSo liE in .