Notasi anak panah atas Knuth: Perbedaan antara revisi
Konten dihapus Konten ditambahkan
tabel nilai <math> 2 \uparrow ^n b </math> |
menambah tabel |
||
Baris 242:
| <math>2\uparrow\uparrow\uparrow\uparrow b</math>
|}
=== Menghitung <math>3 \uparrow ^n b</math> ===
Komputasi <math>3 \uparrow ^n b</math> dapat direpresentasikan dalam bentuk tabel yang berukuran tak terbatas. disini hanya ditampilan angka-angka <math>3^b</math>pada baris paling atas, dan isi kolom kiri dengan nilai 3.
{| class="wikitable"
|+ Nilai dari <math>3\uparrow^n b</math> = [[Hyperoperation#Notations|<math>H_{n+2}(3,b)</math>]] = [[Hyperoperation#Notations|<math>3[n+2]b</math>]] = <math> 2 \to b \to n </math>
|-
! {{diagonal split header|''ⁿ''|''b''}}
! 1
! 2
! 3
! 4
! 5
! formula
|-
! 1
| 3 || 9 || 27 || 81 || 243 || <math>3^b</math>
|-
! 2
| 3 || 27 || 7.625.597.484.987 || <math>3^{7{.}625{.}597{.}484{.}987}\approx 1.3 \times 10^{3{.}638{.}334{.}640{.}024}</math> || <math>3^{3^{7{.}625{.}597{.}484{.}987}}</math> || <math>3\uparrow\uparrow b</math>
|-
! 3
| 3 || 7.625.597.484.987 || <math>
\begin{matrix}
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^3}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>
\begin{matrix}
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^{3}}}}}}}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^{3}}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>
\begin{matrix}
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^{3}}}}}}}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^{3}}}}}}}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^{3}}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>3\uparrow\uparrow\uparrow b</math>
|-
! 4
| 3 || <math>\begin{matrix}
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^3}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>\begin{matrix}
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^3}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>\begin{matrix}
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^3}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math> || <math>\begin{matrix}
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{^{^{^{^{^{3}.}.}.}3}3}\\
\underbrace{3_{}^{3^{{}^{.\,^{.\,^{.\,^3}}}}}}\\
3 \mbox{ sebanyak } {7{.}625{.}597{.}484{.}987}
\end{matrix}</math>
| <math>3\uparrow\uparrow\uparrow\uparrow b</math>
|}
== Pranala luar ==
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