I with tilde (Cyrillic): Difference between revisions
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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. |
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{{Cyrillic alphabet navbox| |
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Heading=Cyrillic letter<br>I with tilde| |
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Image= |
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|uuc=0418+0303|ulc=0438+0303}} |
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'''I with tilde''' (И̃ и̃; italics: <span style="font-family: times, Times New Roman, serif; font-size: larger">''И̃ и̃''</span>) is a letter of the [[Cyrillic script]]. |
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In uparrow notation, the number is equal to 10↑<sup>10</sup>10 = 10↑↑↑↑↑↑↑↑↑↑↑↑10. |
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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> |
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Tridozal is the dozth [https://googology.fandom.com/wiki/Ackermann_number Ackermann number]. |
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This number also called '''deka-endekaxis''', and it's also equal to E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10. |
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== Etymology == |
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The name of this number is based on tri- (three) and dozal- (doh), meaning that there are 3 10's in the array. |
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== Approximations in other notations == |
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{| class="wikitable" |
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|+ |
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!Notation |
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!Approximation |
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|- |
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|Up-arrow notation |
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|10↑<sup>10</sup>10 (exact) |
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|- |
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|Chained arrow notation |
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|10→10→10 (exact) |
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|- |
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|Hyperfactorial array notation |
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|12!Ꙋ |
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|- |
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|Linked notation |
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|10-10-10 (exact) |
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|- |
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|Hyper-E notation |
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|E1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ1Љ10 (exact) |
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|- |
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|Strong array notation |
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|s(10, 10, 10) = s(10, 10, 1, 2) (exact) |
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|- |
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|Fast-growing hierarchy |
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|<math>f_{11}(</math>Ꙋ<math>)</math> |
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|- |
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|Hardy hierarchy |
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|<math>H_{\omega^{11}}(</math>Ꙋ<math>)</math> |
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|- |
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|Slow-growing hierarchy |
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|<math>g_{\varphi(}</math><sub>Ꙋ</sub><math>_{,0)}(</math>Ꙋ<math>)</math> |
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|} |
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==See also== |
==See also== |
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*[https://googology.fandom.com/wiki/Bowers%27_Exploding_Array_Function BEAF] |
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*Ĩ ĩ : [[Ĩ|Latin letter Ĩ]] |
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*[https://googology.fandom.com/wiki/Arrow_notation Arrow notation] |
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*[[Cyrillic characters in Unicode]] |
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==References== |
==References== |
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<references> |
<references> |
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<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> |
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</references> |
</references> |
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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 | Ꙋ |
Hardy hierarchy | Ꙋ |
Slow-growing hierarchy | ꙊꙊ |
See also
References
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