Tritri：修订间差异

2025年7月1日 (二) 19:14的版本

$T r i t r i (有称“特利特利”)$ ，最经典的不能简单地用科学计数法表示的大数，通常由高德纳箭头或BEAF定义。

定义

$\begin{aligned} T r i t r i & = 3 ↑ ↑ ↑ 3 \\ = 3 ↑ ↑ 3 ↑ ↑ 3 \\ = 3 ↑ ↑ (3 ↑ 3 ↑ 3) \\ = 3 ↑ ↑ (3 ↑ 27) \\ = 3 ↑ ↑ 7625597484987 \\ = \begin{matrix} 3^{3^{3^{3^{\dots}}}} \end{matrix}} 7625597484987 \end{aligned}$

$\begin{aligned} T r i t r i & = {3, 3, 3} \\ = {3, {3, 2, 3}, 2} \\ = {3, {3, {3, 1, 3}, 2}, 2} \\ = {3, {3, 3, 2}, 2} \\ = {3, {3, {3, 2, 2}, 1}, 2} \\ = {3, {3, {3, {3, 1, 2}, 1}, 1}, 2} \\ = {3, {3, {3, 3, 1}, 1}, 2} \\ = {3, {3, 27, 1}, 2} \\ = {3, 7625597484987, 2} \\ = \begin{matrix} 3^{3^{3^{3^{\dots}}}} \end{matrix}} 7625597484987 \end{aligned}$

历史

2013年， $T r i t r i$ 诞生^[1]，命名者为BEAF记号创始人 $J o n a t h a n B o w e r s$ 。

2015年7月24日被HypCos称作 $T r i e n t r i$ ^[2]，LAN表示为 $s (3, 3, 3)$

参考资料

↑ Bowers Jonathan. Infinity Scrapers[EB/OL]. 2013. http://www.polytope.net/hedrondude/scrapers.htm
↑ HypCos. Numbers from linear array notation[EB/OL]. 2015. https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/

[1] Bowers Jonathan. Infinity Scrapers[EB/OL]. 2013. http://www.polytope.net/hedrondude/scrapers.htm

[2] HypCos. Numbers from linear array notation[EB/OL]. 2015. https://stepstowardinfinity.wordpress.com/2015/07/24/lan-numbers/

[1]

[2]

@@ 第1行： / 第1行： @@
-'''<math>Tritri\ (\text{有称“特利特利”})</math>'''，一个著名的大数，通常由[[高德纳箭头]]或[[BEAF]]定义。具体数值如下：
+'''<math>Tritri\ (\text{有称“特利特利”})</math>'''，最经典的不能简单地用科学计数法表示的大数，通常由[[高德纳箭头]]或[[BEAF]]定义。
-:<math>\begin{align} Tritri\  & = 3 \uparrow\uparrow\uparrow 3 \\ & = 3\uparrow\uparrow3\uparrow\uparrow3 \\ & = 3\uparrow\uparrow(3\uparrow3\uparrow3) \\ & = 3\uparrow\uparrow(3\uparrow27) \\ & = 3\uparrow\uparrow 7625597484987 \\ & = \left.\begin{matrix}3^{3^{3^{3^{\cdots}}}}\end{matrix}\right\}7625597484987 \\ \end{align}</math>
+==== 定义 ====
+<math>\begin{align} Tritri\  & = 3 \uparrow\uparrow\uparrow 3 \\ & = 3\uparrow\uparrow3\uparrow\uparrow3 \\ & = 3\uparrow\uparrow(3\uparrow3\uparrow3) \\ & = 3\uparrow\uparrow(3\uparrow27) \\ & = 3\uparrow\uparrow 7625597484987 \\ & = \left.\begin{matrix}3^{3^{3^{3^{\cdots}}}}\end{matrix}\right\}7625597484987 \\ \end{align}</math>
-:<math>\begin{align} Tritri\  & = \{3,3,3\} \\ & = \{3,\{3,2,3\},2\} \\ & = \{3,\{3,\{3,1,3\},2\},2\} \\ & = \{3,\{3,3,2\},2\} \\ & = \{3,\{3,\{3,2,2\},1\},2\} \\ & = \{3,\{3,\{3,\{3,1,2\},1\},1\},2\} \\ & = \{3,\{3,\{3,3,1\},1\},2\} \\ & = \{3,\{3,27,1\},2\} \\ & = \{3,7625597484987,2\} \\ & = \left.\begin{matrix}3^{3^{3^{3^{\cdots}}}}\end{matrix}\right\}7625597484987 \\ \end{align}</math>
+<math>\begin{align} Tritri\  & = \{3,3,3\} \\ & = \{3,\{3,2,3\},2\} \\ & = \{3,\{3,\{3,1,3\},2\},2\} \\ & = \{3,\{3,3,2\},2\} \\ & = \{3,\{3,\{3,2,2\},1\},2\} \\ & = \{3,\{3,\{3,\{3,1,2\},1\},1\},2\} \\ & = \{3,\{3,\{3,3,1\},1\},2\} \\ & = \{3,\{3,27,1\},2\} \\ & = \{3,7625597484987,2\} \\ & = \left.\begin{matrix}3^{3^{3^{3^{\cdots}}}}\end{matrix}\right\}7625597484987 \\ \end{align}</math>
-==== 特点 ====
-<math>Tritri</math> 是最经典的不能简单地用科学计数法表示的大数。
 ==== 历史 ====