ホーム
おまかせ表示
付近
ログイン
設定
寄付
ウィキペディアについて
免責事項
検索
ノート
:
ペンテーション
言語
ウォッチリストに追加
編集
このページについて詳細を知るには
転送 [[]]== 計算の順序 ==
テトレーションは
結合法則
を満たさないため、計算の順序を変えると値が変わってしまいます。
c
↑
2
(
b
↑
2
a
)
=
c
↑
2
(
b
↑
b
↑
b
⋯
↑
b
⏟
a
)
=
c
↑
2
b
b
b
⋮
b
b
⏟
高さ
a
=
c
c
c
⋅
⋅
⋅
c
c
c
⏟
高さ
b
b
b
⋮
b
b
⏟
高さ
a
(
c
↑
2
b
)
↑
2
a
=
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
⋯
↑
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
⏟
a
=
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
⋯
↑
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
⏟
(
a
−
1
)
=
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
1
)
=
(
c
↑
c
↑
c
⋯
↑
c
↑
c
⏟
b
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
1
)
=
(
c
↑
c
↑
c
⋯
↑
c
↑
c
⏟
(
b
−
1
)
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
1
)
=
(
c
↑
c
↑
2
(
b
−
1
)
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
1
)
=
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
2
b
)
↑
2
(
a
−
1
)
)
=
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
c
↑
c
⋯
↑
c
↑
c
⏟
b
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
=
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
c
↑
c
⋯
↑
c
↑
c
⏟
(
b
−
1
)
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
=
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
c
↑
2
(
b
−
1
)
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
=
c
↑
(
c
↑
2
(
b
−
1
)
×
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
)
=
c
↑
(
c
↑
c
↑
2
(
b
−
2
)
×
c
↑
(
c
↑
2
(
b
−
1
)
×
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
)
=
c
↑
(
c
↑
(
c
↑
2
(
b
−
2
)
+
(
c
↑
2
(
b
−
1
)
×
(
c
↑
2
b
)
↑
2
(
a
−
2
)
)
)
)
=
c
↑
(
c
↑
(
c
↑
2
(
b
−
2
)
+
(
c
↑
2
(
b
−
1
)
×
(
c
↑
2
b
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
3
)
)
)
)
=
c
↑
(
c
↑
(
c
↑
2
(
b
−
2
)
+
(
c
↑
2
(
b
−
1
)
×
(
c
↑
c
↑
2
(
b
−
1
)
)
↑
(
c
↑
2
b
)
↑
2
(
a
−
3
)
)
)
)
{\displaystyle {\begin{aligned}c\uparrow ^{2}\left(b\uparrow ^{2}a\right)=&c\uparrow ^{2}\left(\underbrace {b\uparrow b\uparrow b\cdots \uparrow b} _{a}\right)=c\uparrow ^{2}\underbrace {b^{b^{b^{\vdots ^{b^{b}}}}}} _{{\text{高さ}}a}=\underbrace {c^{c^{c^{\cdot ^{\cdot ^{\cdot ^{c^{c^{c}}}}}}}}} _{{\text{高さ}}\underbrace {b^{b^{b^{\vdots ^{b^{b}}}}}} _{{\text{高さ}}a}}\\\left(c\uparrow ^{2}b\right)\uparrow ^{2}a{~\,}=&\underbrace {\left(c\uparrow ^{2}b\right)\uparrow \left(c\uparrow ^{2}b\right)\cdots \uparrow \left(c\uparrow ^{2}b\right)\uparrow \left(c\uparrow ^{2}b\right)} _{a}=\left(c\uparrow ^{2}b\right)\uparrow \underbrace {\left(c\uparrow ^{2}b\right)\cdots \uparrow \left(c\uparrow ^{2}b\right)\uparrow \left(c\uparrow ^{2}b\right)} _{\left(a-1\right)}\\=&\left(c\uparrow ^{2}b\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-1\right)\\=&\left(\underbrace {c\uparrow c\uparrow c\cdots \uparrow c\uparrow c} _{b}\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-1\right)\\=&\left(c\uparrow \underbrace {c\uparrow c\cdots \uparrow c\uparrow c} _{\left(b-1\right)}\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-1\right)\\=&\left(c\uparrow c\uparrow ^{2}\left(b-1\right)\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-1\right)\\=&c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-1\right)\right)\\=&c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(\underbrace {c\uparrow c\uparrow c\cdots \uparrow c\uparrow c} _{b}\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\\=&c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow \underbrace {c\uparrow c\cdots \uparrow c\uparrow c} _{\left(b-1\right)}\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\\=&c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow c\uparrow ^{2}\left(b-1\right)\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\\=&c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\right)\\=&c\uparrow \left(c\uparrow c\uparrow ^{2}\left(b-2\right)\times c\uparrow \left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\right)\\=&c\uparrow \left(c\uparrow \left(c\uparrow ^{2}\left(b-2\right)+\left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-2\right)\right)\right)\right)\\=&c\uparrow \left(c\uparrow \left(c\uparrow ^{2}\left(b-2\right)+\left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow ^{2}b\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-3\right)\right)\right)\right)\\=&c\uparrow \left(c\uparrow \left(c\uparrow ^{2}\left(b-2\right)+\left(c\uparrow ^{2}\left(b-1\right)\times \left(c\uparrow c\uparrow ^{2}\left(b-1\right)\right)\uparrow \left(c\uparrow ^{2}b\right)\uparrow ^{2}\left(a-3\right)\right)\right)\right)\end{aligned}}}
--beautiful icosagon 2020年5月5日 (火) 17:01 (UTC)
話題追加
ページ「ペンテーション」に戻る。
--beautiful icosagon 2020年5月5日 (火) 17:01 (UTC)