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3.2

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3.2
  Some Rudimentary Large Number Notations
CHAPTER
SELECT
1.1 Nature of Number

1.2 Sys. of Numeration
1.3 Arithmetic
1.4 Properties
1.5 Catalog of Numbers
2.1 Cosmic Horizons
2.2 SI Prefixes
2.3 Imagining Numbers
2.4 The -illion Series
3.1 Intro to Recursion

3.2 Common Notations

3.3 Large No. Arithmetic

4.1 Jonathan Bowers

4.2 Fast Growing

4.3 Extensible-E



        Now that we have familiarized ourselves with how recursive functions work in Chapter 3.1, we will go over all of the more popular large number Notations. Learn about Knuth Up-arrows, Steinhaus-Moser Polygons, Conway Chain Arrows, Bower's extended operator notations, my own Hyper-E notation, and much more...

Articles

3.2.1 - Plexing & The Googol Series : With our understanding of recursion I now introduce the googol series an the plexing function.

3.2.2 - The Fz, The Fuga & The Megafuga : Alistair Cockburn is known for many things, among them are large numbers. In this article I go over the system him and his kids came up with to go beyond a googolplex.
            In this article I introduce the hyper-operators and Knuth's Up-arrow notation. I provide some history on the development on the hyper-operators, and then go on to define them and give many examples of the kinds of numbers they can produce. At the end of the article I prove that Hyper-E grows just as quickly as the Hyper-operators.
 
3.2.4 - The Weak Operators (ON HIATUS)
 
            In this article I introduce Steinhaus' Circle operator, and estimate the value of a Mega, a number that goes way beyond the googolplex. I also bother to compute the last 14 digits of a Mega, something I have not seen anywhere else.
 
3.2.6 - The Megiston (ON HIATUS)
 
3.2.7 - The Moser (ON HIATUS)

            In this article I introduce the googology of Andre Joyce, who is credited with coining the very word "googology". But how good is Joyce's googology by modern googological standards? Let's find out!
            In this article I go over the history, mathematics, and properties of Graham's Number. I also introduce the other lesser known Graham's Numbers, and try to come to terms with the sizes of these truly enormous numbers.
 
3.2.10 - Amateur Hour : Greater than Graham (ON HIATUS)

3.2.11 - Conway's Chain Arrow Notation 
(ON HIATUS)
 
3.2.12 - Extended Chain Arrow Notations (ON HIATUS)