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Primussupremus Primussupremus 12 July 2017
0

Array notation from my website endless possiblities part 2.

This is part 2: I will be starting at {K:↑(ω+1)(X)} then moving on from there.

{K:↑(ω+1)(X)} = {K:↑(ω)(X)} recursed ({K:↑(ω)(X)}-1) times.

{K:↑(ω2)(X)} = {K:↑(ω+ω)(X)}= {K:↑(ω+X)(X)} = {K:↑(ω+X-1)(X)} recursed ({K:↑(ω+X)(X)}-1) times.

{K:↑(ω3)(X)}= {K:↑(ω2+x)(X)} = {K:↑(ω2+X-1)(X)} recursed ({K:↑(ω2+X-1)(X)}-1)times.

{K:↑(ω^2)(X)}= {K:↑(ω*ω)(X)}= {K:↑(ω*X)(X)} = {K:↑(ω*X-1)(X)} recursed ({K:↑(ω*X-1)(X)}-1) times.

{K:↑(ω^ω)(X)} = {K:↑(ω^X)(X)}= {K:↑(ω^X-1)(X)} recursed ({K:↑(ω^X-1)(X)}-1)times.

{K:↑(ω^ω+(1))(X)} = {K:↑(ω^ω)(X)} recursed ({K:↑(ω^ω)(X)}-1) times.

{K:↑(ω^ω+(ω))(X)} = {K:↑(ω^ω+(X))(X)} = {K:↑(ω^ω+(X-1))(X)} recursed ({K:↑(ω^ω+(ω))(X-1)}-1) times.

{K:↑(ω^ω+(ω+1))(X)} = {K:↑(ω^ω+(ω))(X)} recursed ({K:↑(ω^ω+(ω))(X)}-1)times.

{K:↑(ω^ω+(ω2)…

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Primussupremus Primussupremus 12 July 2017
3

Array notation examples and possible names.

In this post I will give you some examples for the notation I started to develop on my site Endless Possibilities,As well as a suitable/creative name.Some of the names are quite surreal so be prepared.

Starting with the basics:{a}

{100} = one hundred.

{a,b}

{10,100} = 10^100 = one googol. {a,b,c}

{10,10,10} = 10↑(10)10 = 10{10 up arrows}10 = Destratollion.

{a,b,c,d}

{3,3,3,3} = tree-beardi

{3,3,3,3,3} = triple-tree Moving on to {K&L}

{6&5} = {5,5,5,5,5,5} = unarypenillion.

{(4&4)&4} = tetragramattonillion.

{((4&4)&4)&4} = hyper-tetragramattonillion.

{100(100)100} = metatronillion.

{25++:(12)} = Reindeer number.

{25**:(12)} = super reindeer number.

{34:↑(1)(29)} = the invincible king of doom.

{5:↑(ω)(6)} = {5:↑(6)(6)} = K-9 mark 2000,000.

I'm not going to …

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Primussupremus Primussupremus 11 July 2017
2

Array notation from my website endless possiblities.

This is (part of) the array of the Array notation I have started to define on  my site endless possibilities.

{a} = a.

{a,b} = a^b

{a,b,c} = a↑(b c = a{b up arrow's}c

{a,b,c,d} = {a,b,c} recursed d-1 times for d>1.

for example:

{3,3,3,3} = 3↑(3↑(3↑(3)3)3)3.

In this way we can reach numbers like grahams number of {3,4,3,64} with ease.

After thinking for a bit back when I first started developing this notation I decided to change things was I got to a 5 entry array and above.

{a,b,c,d,e} = {a,b,c,d} recursed ({a,b,c,d}-1) times for e-1 repeats.

With that I then defined k tuples or arrays of length>=5 to be:

{k-1 tuple} recursed ({k-1 tuple}-1) times for the limit (entry/symbol)-1 repeats.

As shown above: with {a,b,c,d,e}.

Next I introduced a symbol & to …

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Primussupremus Primussupremus 30 June 2017
0

Big 60 (a number from my site Endless possibilities).

Here's a number I have defined from my site endless possibilities called Big 60:

{60↑(60):(60)}

To understand how this number is derived I would like to refer you to the 1st two pages in my extremely large numbers series:

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-1

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-2

When you are finished reading the required pages I would like to know what people think of Big 60.

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Primussupremus Primussupremus 29 June 2017
2

Links to the notation from my site endless possibilities.

Here are some links to key googology pages on my website Endless possibilities hope you enjoy. https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-1

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-2

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-3

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-4

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-5

https://sites.google.com/view/endless-possibilities/extremely-large-numbers-part-6

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