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'''Tridozal''' is equal to {10, 10, 10}, 10<nowiki>{{1}}</nowiki>2, or 10{10}10 (10 dodozated to 10 or 10 expanded to 2) in BEAF or 3 ₹ 10, using the array of operator.
{{Cyrillic alphabet navbox|
Heading=Cyrillic letter<br>I with tilde|
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'''I with tilde''' (И̃&nbsp;и̃; italics: <span style="font-family: times, Times New Roman, serif; font-size: larger">''И̃&nbsp;и̃''</span>) is a letter of the [[Cyrillic script]].


In uparrow notation, the number is equal to 10↑<sup>10</sup>10 = 10↑↑↑↑↑↑↑↑↑↑↑↑10.
I with tilde is used in the [[Khinalug language|Khinalug]] and [[Godoberi language]] where it represents a [[Nasal vowel|nasalized]] [[close front unrounded vowel]] /ĩ/. It is a variant of the Cyrillic letter [[И]] and is very similar to the Latin letter [[Ñ]].<ref name=autogenerated1>[http://www.omniglot.com/writing/khinalug.htm Khinalug (каьтш мицI / kätš micʼ)]</ref>

Tridozal is the dozth [https://googology.fandom.com/wiki/Ackermann_number Ackermann number].

This number also called '''deka-endekaxis''', and it's also equal to E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10.

== Etymology ==
The name of this number is based on tri- (three) and dozal- (doh), meaning that there are 3 10's in the array.

== Approximations in other notations ==
{| class="wikitable"
|+
!Notation
!Approximation
|-
|Up-arrow notation
|10↑<sup>10</sup>10 (exact)
|-
|Chained arrow notation
|10→10→10 (exact)
|-
|Hyperfactorial array notation
|12!Ꙋ
|-
|Linked notation
|10-10-10 (exact)
|-
|Hyper-E notation
|E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10 (exact)
|-
|Strong array notation
|s(10, 10, 10) = s(10, 10, 1, 2) (exact)
|-
|Fast-growing hierarchy
|<math>f_{11}(</math>Ꙋ<math>)</math>
|-
|Hardy hierarchy
|<math>H_{\omega^{11}}(</math>Ꙋ<math>)</math>
|-
|Slow-growing hierarchy
|<math>g_{\varphi(}</math><sub>Ꙋ</sub><math>_{,0)}(</math>Ꙋ<math>)</math>
|}


==See also==
==See also==
*[https://googology.fandom.com/wiki/Bowers%27_Exploding_Array_Function BEAF]
*Ĩ ĩ : [[Ĩ|Latin letter Ĩ]]
*[https://googology.fandom.com/wiki/Arrow_notation Arrow notation]
*[[Cyrillic characters in Unicode]]


==References==
==References==
<references>
<references>
<ref name=autogenerated1>[http://www.omniglot.com/writing/khinalug.htm Khinalug (каьтш мицI / kätš micʼ)]</ref>
<ref name="autogenerated1">[http://www.omniglot.com/writing/khinalug.htm Khinalug (каьтш мицI / kätš micʼ)]</ref>
</references>
</references>



Revision as of 03:09, 4 November 2022

Tridozal is equal to {10, 10, 10}, 10{{1}}2, or 10{10}10 (10 dodozated to 10 or 10 expanded to 2) in BEAF or 3 ₹ 10, using the array of operator.

In uparrow notation, the number is equal to 10↑1010 = 10↑↑↑↑↑↑↑↑↑↑↑↑10.

Tridozal is the dozth Ackermann number.

This number also called deka-endekaxis, and it's also equal to E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10.

Etymology

The name of this number is based on tri- (three) and dozal- (doh), meaning that there are 3 10's in the array.

Approximations in other notations

Notation Approximation
Up-arrow notation 10↑1010 (exact)
Chained arrow notation 10→10→10 (exact)
Hyperfactorial array notation 12!Ꙋ
Linked notation 10-10-10 (exact)
Hyper-E notation E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10 (exact)
Strong array notation s(10, 10, 10) = s(10, 10, 1, 2) (exact)
Fast-growing hierarchy
Hardy hierarchy
Slow-growing hierarchy

See also

References

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