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− | + | '''Grand megahyperfaxul''' is equal to \(a_\text{megahyperfaxul}\), where \(a_n\) = \(a_{n-1}![1]\) and \(a_0 = 200![1]\), using [[Hyperfactorial Array Notation]]. The term was coined by [[Lawrence Hollom]].<ref>[https://sites.google.com/a/hollom.com/extremely-big-numbers/old-homepage/hyperfactorial-numbers/number Lawrence Hollom's large number site]</ref> |
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=== Etymology === |
=== Etymology === |
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The name of this number is based on the word "'''grand'''" and the number "[[megahyperfaxul]]". |
The name of this number is based on the word "'''grand'''" and the number "[[megahyperfaxul]]". |
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|[[Hyper-E notation]] |
|[[Hyper-E notation]] |
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− | |\(E10\#\#201\#(E10\#\#201\#3)\#2\) |
+ | |\(\textrm E10\#\#201\#(\textrm E10\#\#201\#3)\#2\) |
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|[[Chained arrow notation]] |
|[[Chained arrow notation]] |
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|\(H_{\omega^{\omega+1}+\omega^{\omega}3}(202)\) |
|\(H_{\omega^{\omega+1}+\omega^{\omega}3}(202)\) |
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+ | |[[Slow-growing hierarchy]] (using [[List of systems of fundamental sequences#Fundamental sequences for limit ordinals of finitary Veblen function|this]] system of fundamental sequences) |
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− | |[[Slow-growing hierarchy]] |
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− | |\(g_{\Gamma_{\ |
+ | |\(g_{\varphi(1,0,\varphi(\varphi(\varphi(200,0),0),0))}(200)\)<br/>\(=g_{\Gamma_{\varphi(\varphi(\varphi(200,0),0),0)}}(200)\) |
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=== Sources === |
=== Sources === |
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[[Category:Numbers by Lawrence Hollom]] |
[[Category:Numbers by Lawrence Hollom]] |
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[[Category:Factorial numbers]] |
[[Category:Factorial numbers]] |
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⚫ | |||
[[Category:Powers of 200]] |
[[Category:Powers of 200]] |
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Revision as of 02:28, 14 February 2021
Grand megahyperfaxul is equal to \(a_\text{megahyperfaxul}\), where \(a_n\) = \(a_{n-1}![1]\) and \(a_0 = 200![1]\), using Hyperfactorial Array Notation. The term was coined by Lawrence Hollom.[1]
Etymology
The name of this number is based on the word "grand" and the number "megahyperfaxul".
Approximations in other notations
Notation | Approximation |
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Hyper-E notation | \(\textrm E10\#\#201\#(\textrm E10\#\#201\#3)\#2\) |
Chained arrow notation | \(10 \rightarrow 198 \rightarrow (10\rightarrow 198 \rightarrow (10\rightarrow 198 \rightarrow (10\rightarrow 198 \rightarrow 201))) \rightarrow 2\) |
BEAF | \(\{10,\{10,198,\{10,198,\{10,198,201\}\}\},1,2\}\) |
Fast-growing hierarchy | \(f_{\omega+1}(f_{\omega}(f_{\omega}(f_{\omega}(202))))\) |
X-Sequence Hyper-Exponential Notation | \(200\{X+1\}200\{X+1\}4\) |
Hardy hierarchy | \(H_{\omega^{\omega+1}+\omega^{\omega}3}(202)\) |
Slow-growing hierarchy (using this system of fundamental sequences) | \(g_{\varphi(1,0,\varphi(\varphi(\varphi(200,0),0),0))}(200)\) \(=g_{\Gamma_{\varphi(\varphi(\varphi(200,0),0),0)}}(200)\) |
Sources
See also
Faxul · Giaxul · Hugexul · Enormaxul · Destruxul · Extremexul · Gigantixul · Nucleaxul · BIGG
Faxul group: Faxul · Kilofaxul · Megafaxul · Gigafaxul · Terafaxul · Petafaxul · Exafaxul · Grand Faxul · Grand Kilofaxul · Grand Megafaxul · Grand Gigafaxul · Grand Terafaxul · Grand Petafaxul · Grand Exafaxul · Bigrand Faxul · Bigrand Kilofaxul · Bigrand Megafaxul · Trigrand Faxul · Trigrand Kilofaxul · Quadgrand Faxul · Quintgrand Faxul
Expofaxul group: Expofaxul · Kiloexpofaxul · Megaexpofaxul · Gigaexpofaxul · Teraexpofaxul · Petaexpofaxul · Exaexpofaxul · Grand expofaxul · Grand kiloexpofaxul · Grand megaexpofaxul · Grand gigaexpofaxul · Grand teraexpofaxul · Grand petaexpofaxul · Grand exaexpofaxul · Bigrand expofaxul · Bigrand kiloexpofaxul · Bigrand megaexpofaxul · Trigrand expofaxul · Trigrand kiloexpofaxul · Quadgrand expofaxul · Quintgrand expofaxul
Tetrofaxul group: Tetrofaxul · Kilotetrofaxul · Megatetrofaxul · Gigatetrofaxul · Teratetrofaxul · Petatetrofaxul · Exatetrofaxul · Grand tetrofaxul · Grand kilotetrofaxul · Grand megatetrofaxul · Grand gigatetrofaxul · Grand teratetrofaxul · Grand petatetrofaxul · Grand exatetrofaxul · Bigrand tetrofaxul · Bigrand kilotetrofaxul · Bigrand megatetrofaxul · Trigrand tetrofaxul · Trigrand kilotetrofaxul · Quadgrand tetrofaxul · Quintgrand tetrofaxul
Pentofaxul group: Pentofaxul · Kilopentofaxul · Megapentofaxul · Gigapentofaxul · Grand pentofaxul · Grand kilopentofaxul · Grand megapentofaxul · Grand gigapentofaxul · Bigrand pentofaxul · Trigrand pentofaxul
Hexofaxul group: Hexofaxul · Kilohexofaxul · Megahexofaxul · Gigahexofaxul · Grand hexofaxul · Grand kilohexofaxul · Grand megahexofaxul · Grand gigahexofaxul · Bigrand hexofaxul · Trigrand hexofaxul
Heptofaxul group: Heptofaxul · Octofaxul
Hyperfaxul group: Hyperfaxul · Kilohyperfaxul · Megahyperfaxul · Gigahyperfaxul · Terahyperfaxul · Petahyperfaxul · Exahyperfaxul · Grand hyperfaxul · Grand kilohyperfaxul · Grand megahyperfaxul · Grand gigahyperfaxul · Grand terahyperfaxul · Grand petahyperfaxul · Grand exahyperfaxul · Bigrand hyperfaxul · Bigrand kilohyperfaxul · Bigrand megahyperfaxul · Trigrand hyperfaxul · Trigrand kilohyperfaxul · Trigrand megahyperfaxul · Quadgrand hyperfaxul · Quintgrand hyperfaxul
Redstonepillager's extensions: Kiloheptofaxul · Megaheptofaxul · Ennofaxul · Decofaxul · Undecofaxul · Dodecofaxul · Tredecofaxul · Dopperfaxul · Kilodopperfaxul · Megadopperfaxul · Tropperfaxul · Quadroppperfaxul · Quintopperfaxul · Sextopperfaxul · Septopperfaxul · Oxtopperfaxul · Novtopperfaxul · Dextopperfaxul · Googaxul