15 January 2014
Beatrix matrix system
sets number record!
by Giga Gerard
mathematical artist
A public gift of the largest natural number in mathematics, dedicated to the departing Queen Beatrix of the Netherlands, in gratitude for the prosperous period of her reign. Created for the occassion of the coronation on 30 April 2013 of her son King Willem Alexander, ruling with the lovely Máxima of Argentina on his side. „Viva la Reina!”
A deep matrix called Btrix is set up for the Big number championship against Chris Bird's Beaf algorithm. Subsequently we crown it with the mindboggling “Beatrix Máxima” with good hope the Dutch royal family will accept their new world record number, following the national festivities in the year 2013.
Big numbers are numbers without practical purpose, neither
outside
nor
inside
of mathematics.
But we can define ever larger structures
and smarter algorithms to create increasingly Big numbers.
By comparison this world is rather small,
we cannot resolve those numbers completely.
# Index
“Beatrix matrix system
sets number record!”
April 2013-March 2014…
Mathemagical article by Giga Gerard on
the construction of a Royal Dutch largest number.
-
Start to count
-
Only ones
11111
-
Only ones
-
Big
-
Decimal numbers
1000
-
Scientific E
1E120
-
Boundary of arithmetic
10^10^100
-
Decimal numbers
-
Historical records
-
Archimedes octads
1E8E16
-
Buddhist unspeakable tower
10^^(10^(7×2^119))
-
Guinness Graham's number
3→3→4#64
- Bowers meameamealokkapoowa oompa
- Bird beyond nested arrays III
- Rayo afterwords
-
Archimedes octads
-
To B or not...
-
Structures by RepExp
F(..n..) :3: = F(F(F(n)))
-
Conventions
Btrix(a) = a
-
Choice rules
a,b, = a,b = b
-
Adding by abacus
a,b,1 = a,ab, = ab
-
Structures by RepExp
-
...to Be superstars
-
Multiply by triple
a,b,c = a*c+b
Eaf -
Powers by upload
a,b,,c = a**c+*b
-
Tetration
a,b,,,c = a***c+**b
Ñ0 -
Linear arrays
a,,{c}b = a*..b *:c
Eaf
-
Multiply by triple
-
Bea's dimensions
-
Second row
a,b,[1]1c = a,{b}a,[1]c
-
On the plane
a,b.,[1]..1 :c ≈> Eaf(a,b,b,c)
Ñ1 -
Cubic and Dimensional
a,b,[c]1 ≈> Eaf(a.,b..) :c1
Eaf
-
Second row
-
Beat nested arrays
-
Entry in hyperspace
a,a,[a,b]1 ≈> Eaf(a,b,[3]2)
-
The hyper-row
a,b,[,{c}1]1 ≈> Eaf(a,b,[c]2)
Ñ2 -
Dimensional separators
a,a,[Dim]1 ≈ Eaf(a,a,[Row]2)
Ñ3 -
Twice nested row
a,a,[,[Row]1]1 ≈ Eaf(a,a,[Dim]2)
Ñ4 -
Nesting depth
a,b.,[..]1 :c:
<≈ Eaf(a,b.,[1..]2.) :c:
Eaf
-
Entry in hyperspace
-
Btrix deep attachments
-
Dual deep
-
Serial deeps
-
Under Construction
-
Dual deep
-
Bigger
-
What is omega?
ω
*0 -
Count from omega
ω..n
*1 -
Byte box omega
2^ω
*2 -
Walks past omega
ω^ω
*3
-
What is omega?
-
Omega jumps
-
Arrays of omega
G(ω)
-
Catching all reals
ω1
-
Higher omega
Ω(a)
-
Omega pair on stairs
Ω(a,b)
-
Jump function Omega
Ω(a,Z)
-
Arrays of omega
-
Royal infinities
-
Jump recursion types
H(Ωt)
-
Heaven's gate
-
Jump recursion types
- Biggest
- Tables
Work draft © 2014 Giga Gerard