User blog:Vel!/The Great Googology Census 2

I formed the Great Googology Census 2 after having some philosophical differences with Sbiis Saibian's Great Googology Census. I feel many valuable contributions to googology have been snubbed. Without further ado, here they are.

Googology Certificate -- Alex Thurber

Alex Thurber was a kid I knew in fifth grade who once said "I already told you a borgillion times." This had a huge impact on the googology community, and laid down the foundations for NumbersGuy1999's sequence trorgillion, quadrorgillion, etc. To my knowledge, Alex Thurber is currently in jail.

Googology Certificate -- StarWarsGavin3

StarWarsGavin3 is best known for his pioneering work in creating enormous sprawling tables of fast-growing hierarchy approximations.

\begin{eqnarray*} \{[L,2X]\}_{n,n} & & \Theta(\Theta_1(\Omega)\omega2) \\ \{[L,X^X]\}_{n,n} & & \Theta(\Theta_1(\Omega)\omega^\omega) \\ \{[L,X_2\&X]\}_{n,n} & & \Theta(\Theta_1(\Omega)\theta(\Omega^\omega)) \\ \{[L,L]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta(0)) \\ \{[L,\{L,2\}]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta(1)) \\ \{[L,[L,2]]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta(\Theta_1(\Omega))) \\ \{[L,[L,L]]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta(\Theta_1(\Omega)\Theta(0))) \\ \{[L,X,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega) \\ \{[L,2X,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega2) \\ \{[L,L,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega \Theta(0)) \\ \{[L,X,3]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^2) \\ \{[L,L,L]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Theta(0)}) \\ \{[L,X,1,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^\Omega) \\ \{[L,X,2,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega+1}) \\ \{[L,X,1,3]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega2}) \\ \{[L,X,1,1,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^2}) \\ \{[L,X(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}) \\ \{[L,[L,X(1)2]+1]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}+\Theta_1(\Omega)) \\ \{[L,[L,X(1)2]+1,2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}+\Theta_1(\Omega)\Omega) \\ \{[[L,X(1)2],X(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}2) \\ \{[L,4,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}3) \\ \{[L,X,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega}\omega) \\ \{[L,X,2,1,...,1,2]\}_{n,n}\text{ a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+1}) \\ \{[L,X,3,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+2}) \\ \{[L,X,L,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+\Theta(0)}) \\ \{[L,X,1,2,1,...,1,2]\}_{n,n}\text{ a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+\Omega}) \\ \{[L,X,1,3,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+\Omega2}) \\ \{[L,X,1,1,2,1,...,1,2]\}_{n,n}\text{ a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega+\Omega^2}) \\ \{[L,X,1,...,1,3]\}_{n,n}\text{ 3 a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega2}) \\ \{[L,X,1,...,1,X]\}_{n,n}\text{ a.p. X+1} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^\omega\omega}) \\ \{[L,X,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+2} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\omega+1}}) \\ \{[L,X,1,...,1,2]\}_{n,n}\text{ 2 a.p. X+3} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\omega+2}}) \\ \{[L,2X(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\omega2}}) \\ \{[L,X^2(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\omega^2}}) \\ \{[L,L(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\Theta(0)}}) \\ \{[L,X,2(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\Omega}}) \\ \{[L,X,2(1)(1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\Omega2}}) \\ \{[L,X,2(2)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\Omega^2}}) \\ \{[L,X,2(0,1)2]\}_{n,n} & & \Theta(\Theta_1(\Omega)\Omega^{\Omega^{\Omega^\Omega}}) \\ \{X_2\uparrow\uparrow X_2[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\varepsilon_{\Omega+1}) \\ \{X_3\&X_2[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\theta_1(\Omega_2^\omega)) \\ \{L[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(0)) \\ \{[L,2][\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)))) \\ \{[L,L][\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Theta(0)))) \\ \{[L,X_3,2][\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Omega))) \\ \{[L,X_3,1,2][\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Omega^\Omega))) \\ \{[L,X_3,2(1)2][\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Omega^{\Omega^\Omega}))) \\ \{X_4\uparrow\uparrow X_4[\&]L[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\varepsilon_{\Omega+1}))) \\ \{L[\&]L[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Theta_1(0)))) \\ \{[L,X_5,2][\&]L[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Omega))))) \\ \{[L,X_7,2][\&]L[\&]L[\&]L\}_{n,n} & & \Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\times \\ & & \Theta_1(\Theta(\Theta_1(\Omega)\Theta_1(\Theta(\Theta_1(\Omega)\Omega))))))) \end{eqnarray*}

Googology Certificate--Sophocles Pratt

Sophocles Pratt is the highly intelligent creator of the "borptdo" function, which is very famous amongst people named Sophocles Pratt. Every post he makes to Goobologopedia starts with "I don't like this place, but I just wanted to add that..."