Talk:Piplex

Transcendence
Schanuel's conjecture would imply the transcendence of Piplex:

Because π is a irrational real number, and ln(10) a nonzero real number, the three numbers ln(10), ln(10)*π and iπ are are linearly independent over Q, so Q(ln(10), ln(10)*π, iπ, 10, 10^π,-1) has transcendence degree of at least 3 over Q. Therefore, ln(10), π, and 10^π are algebraically independent over Q, and the transcendence of Piplex follows. --84.61.186.220 19:27, September 29, 2014 (UTC)