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Quadraddep is equal to \(f_{\varepsilon_0 +4}(10)\) using the fast-growing hierarchy.[1] The term was coined by wiki user Denis Maksudov.

Etymology Edit

The 3 parts of the name, "quadri", "add" and "ep", mean 4, addition and \(\varepsilon_0\) respectively, which form \(\varepsilon_0+4\) when concatenated backwards. So the full name indicates the ordinal index of the number.

Approximations in other notations Edit

Notation Approximation
BEAF \(\{10,10,5 (X \uparrow\uparrow X) 2\}\)[2]
Bird's array notation \(\{10,10,5 [1 \backslash 2] 2\}\)
Hyperfactorial array notation \(10![5,1,1,1,2]\)
Extended Cascading-E Notation \(E10\#\text{^^}\#10\#\#5\)
Hardy hierarchy \(H_{\varepsilon_0 \omega^4}(10)\)
Slow-growing hierarchy \(g_{\vartheta(\varepsilon_{\Omega2}+3)}(10)\)

Sources Edit

  1. My system of number names (FGS) - Traveling To The Infinity
  2. Using particular notation \(\{a,b (X \uparrow\uparrow X) 2\}\) for \(X \uparrow\uparrow b\ \&\ a\).
Numbers by Denis Maksudov
Epsilon series
Epsilon(0)-addition series: Zeraddep · Unaddep · Baddep · Traddep · Quadraddep · Quintaddep · Sextaddep · Septaddep · Octaddep · Nonaddep · Dekaddep · Hektaddep · Kiladdep · Megaddep · Gigaddep · Teraddep · Petaddep · Exaddep · Zettaddep · Yottaddep
Epsilon(0)-multiplication series: Bultep · Trultep · Quadrultep · Quintultep · Sextultep · Septultep · Octultep · Nonultep · Dekultep · Hektultep · Kilultep · Megultep · Gigultep · Terultep · Petultep · Exultep · Zettultep · Yottultep
Epsilon(0)-exponentiation series: Bexep · Trexep · Quadrexep · Quintexep · Sextexep · Septexep · Octexep · Nonexep · Dekexep · Hektexep · Kilexep · Megexep · Gigexep · Terexep · Petexep · Exexep · Zettexep · Yottexep
Epsilon(0)-tetration series: Bitetrep · Tritetrep · Quadritetrep · Quintitetrep · Sextitetrep · Septitetrep · Octitetrep · Nonitetrep · Dekotetrep · Hektotetrep · Kilotetrep · Megotetrep · Gigotetrep · Terotetrep · Petotetrep · Exotetrep · Zettotetrep · Yottotetrep
Epsilon(1)-addition series: Unaddunep · Baddunep · Traddunep · Quadraddunep · Quintaddunep · Sextaddunep · Septaddunep · Octaddunep · Nonaddunep · Dekaddunep · Hektaddunep · Kiladdunep · Megaddunep · Gigaddunep · Teraddunep · Petaddunep · Exaddunep · Zettaddunep · Yottaddunep
Inserted epsilon series: Uninep · Binep · Trinep · Quadrinep · Quintinep · Sextinep · Septinep · Octinep · Noninep · Dekinep · Hektinep · Kilinep · Meginep · Giginep · Terinep · Petinep · Exinep · Zettinep · Yottinep
Inserted eta series
Phi series
\(I(\alpha,\beta)\) series
Initial \(I(\alpha,\beta)\) series: Unimah · Bimah · Trimah · Quadrimah · Quintimah · Sextimah · Septimah · Octimah · Nonimah · Dekimah · Hektimah · Kilimah · Megimah · Gigimah · Terimah · Petimah · Eximah · Zettimah · Yottimah
Inserted \(I(\alpha,\beta)\) series: Uninimah · Binimah · Trinimah · Quadrinimah · Quintinimah · Sextinimah · Septinimah · Octinimah · Noninimah · Dekinimah · Hektinimah · Kilinimah · Meginimah · Giginimah · Terinimah · Petinimah · Exinimah · Zettinimah · Yottinimah

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