Chris Bird is an English mathematician who helped develop and investigate Jonathan Bowers' BEAF, and created a parallel notation called Bird's array notation. His extensions to Array Notation, outlined in his 75-page paper Array Notations for Super-Huge Numbers,[1] led to the development of the modern Exploding Array Function. He also proved that Array Notation with 5 or more entries grows much faster than Chained Arrow Notation.[2]
Bird developed his own hierarchy of array notations and extended it up to the Bachmann-Howard ordinal.[3] He later developed a newer version of his notation that he claimed was able to reach \(\psi_0(\Omega_{\omega})\).[4] In 2014, he extended his notation yet again, this time reaching \(\vartheta(\Omega_\Omega)\).
Bird has a master's degree in mathematics, and has stated that he has Asperger's syndrome (an autism spectrum disorder).
Sources[]
- ↑ Bird, Chris. Array Notations for Super Huge Numbers. Retrieved 2016-03-25.
- ↑ Bird, Chris. Proof that Bird’s Linear Array Notation with 5 or more entries goes beyond Conway’s Chained Arrow Notation. Retrieved 2013-03-17.
- ↑ Bird, Chris. Beyond Bird's Nested Arrays III. Retrieved 2013-03-17.
- ↑ Bird, Chris. Beyond Bird's Nested Arrays IV. Retrieved 2014-04-09.
External links[]
See also[]
- Bird's number
- Chris Bird's Super Huge Numbers (contains links to most recent versions of his papers)
- Bird's array notation
Concepts: googology · large number · eventual domination · ordinal · cardinal · recursion · infinity
Important numbers and functions: googol · googolplex · -illions · hyper operators · Graham's number · Extensible-E System · Bowers' Exploding Array Function · Bird's array notation · TREE sequence · Busy beaver function · fast-growing hierarchy · Rayo's number
People: Chris Bird · Jonathan Bowers · Harvey Friedman · Lawrence Hollom · André Joyce · Leo Moser · Robert Munafo · Sbiis Saibian · Aarex Tiaokhiao