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| − | The '''gruelohgold''' (short for 'grueling golden [[googol]]', also called '''gruelohda''') is equal to E[[100]]##100##[[6]] = E100##100#100#100#100#100#100, using [[Hyper-E Notation]].<ref>[http://sites.google.com/site/largenumbers/home/3-2/Hyper-E Hyper-E Notation - Large Numbers]</ref><ref>[ |
+ | The '''gruelohgold''' (short for 'grueling golden [[googol]]', also called '''gruelohda''') is equal to E[[100]]##100##[[6]] = E100##100#100#100#100#100#100, using [[Hyper-E Notation]].<ref>[http://sites.google.com/site/largenumbers/home/3-2/Hyper-E Hyper-E Notation - Large Numbers]</ref><ref>[https://sites.google.com/site/largenumbers/home/a-1/LNL]</ref> |
=== Approximations in other notations === |
=== Approximations in other notations === |
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Revision as of 07:02, 7 April 2013
The gruelohgold (short for 'grueling golden googol', also called gruelohda) is equal to E100##100##6 = E100##100#100#100#100#100#100, using Hyper-E Notation.[1][2]
Approximations in other notations
| Notation | Approximation |
|---|---|
| Chained arrow notation | \(100 \rightarrow 100 \rightarrow 101 \rightarrow 6\) |
| BEAF | \(\{100,101,5,2\}\) |
| Fast-growing hierarchy | \(f_{\omega+5}(100)\) |
| Hardy hierarchy | \(H_{\omega^{\omega+5}}(100)\) |
| Slow-growing hierarchy | \(g_{\varphi(1,4,0)}(100)\) |
Previous: golaagolda-dusupentex Next: gruelohgolda-suhex
Sources
See also
Googol series: googol · googolplex · googolduplex · googoltriplex · googolquadriplex · googolquintiplex · googolsextiplex · googolseptiplex
Grangol series: grangol · grangoldex · grangoldudex · grangoltridex · grangolquadridex · grangolquintidex
Googoldex series: googoldex · googolplexidex · googolduplexidex · googoldexiplex · googoldexiduplex
Greagol series: greagol · greagolthrex · greagolduthrex
Gigangol series: gigangol · gigangoltetrex · gigangoldutetrex
Gorgegol–googondol series: gorgegol · gorgegolpentex · gorgegoldupentex · gulgol · gulgolhex · gulgolduhex · gaspgol · gaspgolheptex · gaspgolduheptex · ginorgol · ginorgoloctex · ginorgolduoctex · gargantuul · gargantuulennex · googondol · googondoldecex
Gugold–grinningold series: gugold · gugolda-suplex · gugolda-dusuplex · graatagold · graatagolda-sudex · graatagolda-dusudex · greegold · greegolda-suthrex · greegolda-dusuthrex · grinningold · grinningolda-sutetrex · grinningolda-dusutetrex
Golaagold–googondold series: golaagold · golaagolda-supentex · golaagolda-dusupentex · gruelohgold · gruelohgolda-suhex · gruelohgolda-dusuhex · gaspgold · gaspgolda-suheptex · gaspgolda-dusuheptex · ginorgold · ginorgolda-suoctex · ginorgolda-dusuoctex · gargantuuld · googondold
Googolgong series: googolgong · googolplexigong · googolduplexigong · googoltriplexigong · googolquadriplexigong · googolquintiplexigong
Grangolgong series: grangolgong · grangoldexigong · grangoldudexigong · grangoltridexigong · grangolquadridexigong · grangolquintidexigong
Greagolgong series: greagolgong · greagolthrexigong · greagolduthrexigong
Gigangolgong series: gigangolgong · gigangoltetrexigong · gigangoldutetrexigong
Gorgegolgong–ginorgolgong series: gorgegolgong · gorgegolpentexigong · gorgegoldupentexigong · gulgolgong · gulgolhexigong · gulgolduhexigong · gaspgolgong · gaspgolheptexigong · gaspgolduheptexigong · ginorgolgong · ginorgoloctexigong · ginorgolduoctexigong · gargantuulgong · gargantuulennexigong · gargantuulduennexigong · googondolgong · googondoldecexigong · googondoldudecexigong
Gugoldagong–grinningoldagong series: gugoldagong · gugolda-suplexigong · gugolda-dusuplexigong · graatagoldagong · graatagolda-sudexigong · graatagolda-dusudexigong · greegoldagong · greegolda-suthrexigong · greegolda-dusuthrexigong · grinningoldagong · grinningolda-sutetrexigong · grinningolda-dusutetrexigong
Golaagoldagong–ginorgoldagong series: golaagoldagong · golaagolda-supentexigong · golaagolda-dusupentexigong · gruelohgoldagong · gruelohgolda-suhexigong · gruelohgolda-dusuhexigong · gaspgoldagong · gaspgolda-suheptexigong · gaspgolda-dusuheptexigong · ginorgoldagong · ginorgolda-suoctexigong · ginorgolda-dusuoctexigong · gargantuuldagong · googondoldagong