User:Maxywaxy/MaxPages/2

Extending Extensible E (and BEAF too)

Saibian left off at https://sites.google.com/site/largenumbers/home/4-3/xec_numbers5 where he had things like E100{#&#&#....#&#}100

but we can go further

E100{#&#&#...&#&#}100 with 10 #s can be represented as E100{#&&#}10

so basically in BEAF, a&&b would mean a&a&...&a&a with b a's

and extend the &s like the #s wait, now we need an 'array of' for the 'array of's! which will be @. With these you can coin a lot of new numbers that's as far as i will go. remember, you can use these in BEAF, too! there is no way to comprehend how any of these work, so i won't even try to explain it values: \(\overline{\omega}[10000000000]\) = idk im not good at names
 * &{&}&, &{&{&}&}&, &{&{&{&}&}&}&,...
 * {&,&,&,&} arrays of arrays
 * &{&}&, &{&{&}&}&, &{&{&{&}&}&}&,...
 * {&,&,&,&} arrays of arrays
 * {&,&,&,&} arrays of arrays
 * a&@&b = a{&,&,...,&,&}a with b &'s
 * E100{#&&&#}100 = trito-zarathustra
 * E100{#&&&&#}100 = tetero-zarathustra
 * E100{#&^&#}100 = expo-zarathustra
 * E100{#&^^&#}100 = tetro-zarathustra
 * E100{#&{&}&#}100 = godsgodgul-zarathustra
 * E100{#{&,&,1,2}#}100 = blasphemorgul-zarathustra
 * E100{#{&@&}#}100 = ominongul-zarathustra
 * E100{#{&@@&}#}100 = godsdeuterian
 * E100{#{&@@@&}#}100 = godstriterian
 * E100{#{&@^@&}#}4 = godsteterian
 * E100{#{&@^@&}#}100 = godsgrangarian
 * E100{#{&@^^@&}#}100 = godstethrarian
 * E100{#{&@^^^@&}#}100 = godspentactharian
 * E100{#{&@{@}@&}#}100 = omnigodulus
 * E100{#{&{@,@,1,2}&}#}100 = godulmorgus
 * E100{#{&{@,@,@,@}&}#}100 = goduterkaron
 * E100{#{&{@,@,@,@,@}&}#}100 = godupenkaron
 * E100{#{&{@&@}&}#}100 = ominothustra
 * a&^&b = a&&...&&a with b a's
 * a&@&b = a{&,&,...,&,&}a with b &'s
 * \(\overline{\omega}[x]\) = 3{&{@{&{@{...{&@&}...}@}&}@}&}3 with X &'s from the middle out.
 * 1) 3&3 = {3,3,3} = 3^^^3 = tritri
 * 2) 3{&{@&@}&}3
 * 3) \(\overline{\omega}[3]\) = trismegares
 * 4) insanely big