Changes: Gaggolduplex

Revision as of 14:24, 9 August 2016

The gaggolduplex is equal to {10,gaggolplex,3} in BEAF.^[1] It is also called hectataxia-taxis by Sbiis Saibian, and it's equal to E1#1#100#3 in Hyper-E notation.^[2]

Notation	Approximation
Up-arrow notation	\(10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 100\) (exact)
Chained arrow notation	\(10 \rightarrow (10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3) \rightarrow 3 \) (exact)
Hyper-E notation	\(E1\#1\#100\#3\) (exact)
Hyperfactorial array notation	\(((102!2)!2)!2\)
BEAF	\(\{10,\{10,\{10,100,3\},3\},3\}\)
Fast-growing hierarchy	\(f_4(f_4(f_4(100)))\)
Hardy hierarchy	\(H_{\omega^43}(100)\)
Slow-growing hierarchy	\(g_{\zeta_{\zeta_{\zeta_0}}}(100)\)

@@ Line 1: / Line 1: @@
-The '''gaggolduplex''' is equal to {10,[[gaggolplex]],3} in [[BEAF]].<ref>[http://polytope.net/hedrondude/scrapers.htm]</ref>
+The '''gaggolduplex''' is equal to {10,[[gaggolplex]],3} in [[BEAF]].<ref>[http://polytope.net/hedrondude/scrapers.htm]</ref> It is also called '''hectataxia-taxis''' by [[Sbiis Saibian]], and it's equal to E1#1#100#3 in [[Hyper-E notation]].<ref>Sbiis Saibian, [http://sites.google.com/site/largenumbers/home/4-3/Hyper-E Hyper-E Numbers - Large Numbers]</ref>
 == Approximations in other notations ==
@@ Line 8: / Line 8: @@
 |-
 |[[Up-arrow notation]]
-|\(10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 100\)
+|\(10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 10 \uparrow\uparrow\uparrow 100\) (exact)
 |-
 |[[Chained arrow notation]]
-|\(10 \rightarrow (10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3) \rightarrow 3 \)
+|\(10 \rightarrow (10 \rightarrow (10 \rightarrow 100 \rightarrow 3) \rightarrow 3) \rightarrow 3 \) (exact)
 |-
 |[[Hyper-E notation]]
-|\(E1\#1\#100\#3\)
+|\(E1\#1\#100\#3\) (exact)
 |-
 |[[Hyperfactorial array notation]]