
An avatar used by Saibian, originally one of the Decimice.
Sbiis Saibian (IPA: /sbiz saɪbjən/, born 1983[1]) is an American recreational mathematician and "megalo-arithmologist" who is most famous in the googological community for maintaining a web book called One to Infinity: A Guide to the Finite (formerly A Finite Journey). In the book, he introduces and describes various googological notations and invents his own, called the Extensible-E System. The site was first publicly launched on December 9, 2008, four days after Googology Wiki was first created.
Saibian's output is prolific. As of March 2015, he has coined 15,610 googolisms (excluding beta releases), the most for any single googologist. For comparison, this is over 44 times more than the number of googologisms (or as he calls them, "googolisms") coined by another famous googologist, Jonathan Bowers/Hedrondude.
"Sbiis Saibian" is a pseudonym, which he says was "invented by typing random letters on a keyboard."[2] Another pseudonym he more recently goes by is Sbiis.ExE. His real name is not generally known.
Notations invented by Sbiis Saibian
- Poly-cell notation (PcN)
- Stack notation (StN)
- Diamond notation (DiN)
- 5-cell notation (5cN)
- 6-cell notation (6cN)
- ...
- Extensible-E System (ExE)
- Hyper-E notation (E#)
- Extended Hyper-E notation (xE#)
- Cascading-E notation (E^)
- Limited Extension Cascading-E notation (LECEN)
- Extended Cascading-E Notation (xE^)
- Hyper-Extended Cascading-E Notation (#xE^)
- Hyper-Hyper-Extended Cascading-E Notation (##xE^)
- Solidus-Extended Cascading-E Notation (/xE^)
- Saibian's Counter-Clockwise Arrow Notation: \(b \uparrow\uparrow\uparrow p = _{p \leftarrow}b\), \(b \uparrow\uparrow\uparrow\uparrow p = b_{\rightarrow p}\), etc.[3]
Specific numbers
- 203 is used as the base of the googologisms joe pellinger and grand joe pellinger by Sbiis Saibian.[4]
- Its prime factorization is 7 × 29. It is also the 6th Bell number.
- 44,435,622 is used in the definition of the pseudomonarchia daemonum and the grand pseudomonarchia daemonum by Sbiis Saibian.[5]
See also
Sources
- ↑ https://www.fictionpress.com/u/465777/Sbiis-Saibian
- ↑ About Author - Large Numbers
- ↑ Saibian, Sbiis. 3.2.3 - Ascending with Up Arrows. Retrieved 2015-03-03.
- ↑ Saibian, Sbiis. 4.3.10 - Extended Cascading-E Numbers Part IV (11871 - 14070). Retrieved 2018-03-03.
- ↑ Saibian, Sbiis. 4.3.11 - Extended Cascading-E Numbers Part V (14071 - 15610). Retrieved 2018-03-03.
External links
- Sbiis Saibian's Large Number Site
- Beyond G, S. Saibian's blog
- Giga Gerard's review of Hyper-E Notation
Concepts: googology · large number · eventual domination · ordinal · cardinal
Important numbers and functions: googol · googolplex · -illions · hyper-operators · Graham's number · Extensible-E system · TREE sequence · Busy beaver function · fast-growing hierarchy
People: Chris Bird · Jonathan Bowers · Harvey Friedman · Lawrence Hollom · André Joyce · Leo Moser · Robert Munafo · Sbiis Saibian · Aarex Tiaokhiao