Changes: Schmittyillion

Revision as of 03:53, 15 January 2021

The schmittyillion is equal to ^{(10¹⁰⁰ -1 [3*10])}(3*10^4,182,001+3). It is displayed as a tier googol illion with respect to Bower's system, which has never been used^[1], despite . The term was coined by Trakaplex trying to coin the largest googolism ending in "illion", although, on other wikis, terms like tritriillion that are mutch larger. It was first clarified on Googology Testing Wiki^[2], but then on a new answers.com post asking the "biggest known number in the world". The complexity couldn't simply be written in simple notation.

Interpretation

It is unknown what the creator wants "10¹⁰⁰ -1 [3*10]" to mean. If we assume the braces are a group, then it would be (10¹⁰⁰)*-30 = -3*10¹⁰¹. This would make the expression ^-3*10¹⁰¹(3*10^4,182,001+3), but tetration (which is assumed from the left exponent) is ill-defined for tetraponents less than -2^[3], so this number would be ill-defined under this interpretation. However, if Trakaplex explains a more precise definition of this number's tetraponent, it is possible to have a well-defined value.

Etymology

It is based off 'Schmitty Winkleson' and the word 'illion'.

Sources

↑ Trakaplex, a comment to "What is the biggest known number?" in Answers.com.
↑ Schmittyillion in Googology Testing Wiki.
↑ Tetration#Negative_heights

[1] Trakaplex, a comment to "What is the biggest known number?" in Answers.com.

[2] Schmittyillion in Googology Testing Wiki.

[3] Tetration#Negative_heights

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[3]

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 == Interpretation ==
-It is unknown what the creator wants "10<sup>100</sup> -1 [3*10]" to mean. If we assume the braces are a group, then it would be (10<sup>100</sup>)*-30 = -3*10<sup>101</sup>. This would make the expression <sup>-3*10<sup>101</sup></sup>(3*10<sup>4,182,001</sup>+3), but [[tetration]] (which is assumed from the left exponent) is '''ill-defined '''for tetraponents less than -2<ref>[https://en.wikipedia.org/wiki/Tetration#Negative_heights Tetration#Negative_heights]</ref>, so this number would be '''unformalised''' under this interpretation. However, if the Trakaplex explains what the intended meaning of "10<sup>100</sup> -1 [3*10]" is, it might have a well-defined value.
+It is unknown what the creator wants "10<sup>100</sup> -1 [3*10]" to mean. If we assume the braces are a group, then it would be (10<sup>100</sup>)*-30 = -3*10<sup>101</sup>. This would make the expression <sup>-3*10<sup>101</sup></sup>(3*10<sup>4,182,001</sup>+3), but [[tetration]] (which is assumed from the left exponent) is '''ill-defined '''for tetraponents less than -2<ref>[https://en.wikipedia.org/wiki/Tetration#Negative_heights Tetration#Negative_heights]</ref>, so this number would be ill-defined under this interpretation. However, if Trakaplex explains a more precise definition of this number's tetraponent, it is possible to have a well-defined value.
 == Etymology ==
 It is based off 'Schmitty Winkleson' and the word 'illion'.