FANDOM


Array-Moser Notation FGH Growth Rate
M(X,0(1)1) w^w
M(X,1(1)1) w^w+1
M(X,n(1)1) w^w+n
M(X,0,n(1)1) w^w+w*n
M(X,0,0...0,0,1(1)1) (n 0's) w^w+w^n
M(X,0(1)n) w^w*n
M(X,0(1)0,0...0,0,1) (n 0's) w^{w+n}
M(X,0(1)0...0(1)0(1)1) (n 0's) w^{w*n}
M(X,0(n)1) w^w^n
M(X,0(0,1)1) w^w^w
M(X,0(0,0...0,0,1)1) (n 0's) w^w^w^n
M(X,0(0(1)1)1) w^w^w^w
Hyperarray-Moser Notation I FGH Growth Rate
M(X,0(0/1)1) e(0)
M(X,0(0/1)n) e(0)*n
M(X,0(0/1)0(0/1)1) e(0)^2
M(X,0(1/1)1) e(0)^w
M(X,0(0(0/1)1/1)1) e(0)^e(0)
M(X,0(0/2)1) e(1)
M(X,0(0/0,1)1) e(w)
M(X,0(0/0(0/1)1)1) e(e(0))
M(X,0(0/0/1)1) z(0)
M(X,0(0/0/0(0/0/1)1)1) z(z(0))
M(X,0(0/0/0/1)1) eta(0)
M(X,0(0(1)/1)1) phi(w,0)
M(X,0(0(0(0/1)1)/1)1) phi(e(0),0)
M(X,0(0(0/1)/1)1) phi(1,0,0)
M(X,0(0(0/1)/0/1)1) phi(1,1,0)
M(X,0(0(0/1)/0(0/1)/1)1) phi(2,0,0)
M(X,0(0(0/2)/1)1) phi(1,0,0,0)
M(X,0(0(0/0,1)/1)1) SVO
M(X,0(0(0/0/1)/1)1) LVO
M(X,0(0(0/0/0/1)/1)1) theta(W^W^2)
M(X,0(0(0(1)/1)/1)1) theta(W^W^w)
M(X,0(0(0(0/1)/1)/1)1) theta(W^W^W)
M(X,0(0(0(0/0/1)/1)/1)1) theta(W^W^W^W)
Hyperarray-Moser Notation II FGH Growth Rate
M(X,0(0(0//1)/1)1) BHO
M(X,0(0(0//1)/2)1) theta(e(W+1),1)
M(X,0(0(0//1)/0/1)1) theta(e(W+1)+1)
M(X,0(0(0//1)/0(0/1)/1)1) theta(e(W+1)+W)
M(X,0(0(0//1)/0(0/0/1)/1)1) theta(e(W+1)+W^W)
M(X,0(0(0//1)/0(0(0/1)/1)/1)1) theta(e(W+1)+W^W^W)
M(X,0(0(0//1)/0(0//1)/1)1) theta(e(W+1)*2)
M(X,0(0(0(0//1)/1//1)/1)1) theta(e(W+1)^2)
M(X,0(0(0(0//1)/0(0//1)/1//1)/1)1) theta(e(W+1)^e(W+1))
M(X,0(0(0//2)/1)1) theta(e(W+2))
M(X,0(0(0//0,1)/1)1) theta(e(W+w))
M(X,0(0(0//0/1)/1)1) theta(e(W*2))
M(X,0(0(0//0(0//1)/1)/1)1) theta(e(e(W+1)))
M(X,0(0(0//0//1)/1)1) theta(z(W+1))
M(X,0(0(0(1)//1)/1)1) theta(phi(w,W+1))
M(X,0(0(0(0/1)//1)/1)1) theta(phi(W,1))
M(X,0(0(0(0//1)//1)/1)1) theta(W_2)
M(X,0(0(0(0//0//1)//1)/1)1) theta(W_2^W_2)
M(X,0(0(0(0///1)//1)/1)1) theta(e(W_2+1))
M(X,0(0(0(0(0///1)///1)//1)/1)1) theta(W_3)
M(X,0(0(0(0(0////1)///1)//1)/1)1) theta(e(W_3+1))
M(X,0(0/0,11)1) theta(W_w)
M(X,0(0/1,11)1) TBF
M(X,0(0/0,21)1) theta(W_{w*2})
M(X,0(0/0/11)1) theta(W_W)
M(X,0(0/0/0,111)1) theta(W_W_w)
M(X,0(0/0/0/111)1) theta(W_W_W)

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