CHIN

```
iMpossibly woRk iN proGress

```

Stands for Crazy Huge Insane Notation

## Linear Arrays

[
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a

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{\displaystyle [a]=a\ a-ated\ to\ a\ a-1ated\ to\ a\ a-2ated\ to\ a\dots }

[
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[
[
[
…
[
[
[
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{\displaystyle [a,0]=[[[\dots [[[a]]]\dots ]]]}

a times

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[
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{\displaystyle [a,b+1]=[[[[[[[a,b],b],b]\dots ],b],b],b]}

a times

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{\displaystyle [a,0,0]=[a,[a,[a,[\dots [a,[a,[a,a]]]]]]]}

a times

etc.

etc.

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[
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{\displaystyle [a,b(1)0]=[a,a,a\dots a,a,a]}

b times

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≈

f

ω

ω

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{\displaystyle [a,a(1)0]\approx f\_{\omega ^{\omega }}(a)}

etc.

etc.

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]

{\displaystyle [a,b(1)0(1)0]=[a,a(1)0,0,0\dots 0,0,0]}

b times

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≈

f

ω

ω
2

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{\displaystyle [a,a(1)0(1)0]\approx f\_{\omega ^{\omega 2}}(a)}

etc.

## Dimensional Arrays

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{\displaystyle [a,b(c+1)2]=[a,a(c)a(c)a(c)a\dots a(c)a(c)a(c)a]}

b times

[
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a
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a
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2
]
≈

f

ω

ω

ω

(
a
)

{\displaystyle [a,a(a)2]\approx f\_{\omega ^{\omega ^{\omega }}}(a)}

## Superdimensional Arrays

Start to form arrays inside of (). FGH limit:

ω

ω

ω

ω

{\displaystyle \omega^{\omega^{\omega^{\omega}}}}

## Hyperdimensional Arrays

Start to form things like 0(1)0 in superdimensional arrays. FGH limit:

ε
0

{\displaystyle \varepsilon\_0}

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{\displaystyle [a,b((1))0]=[a,a(0(0(0\dots (0(0(1)0)0)0\dots )0)0)0]}

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]
≈

f

ε

0

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a
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{\displaystyle [a,b((1))0]\approx f\_{\varepsilon \_{0}}(a)}

etc.

## Ultradimensional Arrays

[

(
1
)

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{\displaystyle [\_{(1)}a]=[a,a(((\dots (((1)))\dots )))0]}

a times

[

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]
≈

f

φ
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ω
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)

(
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{\displaystyle [\_{(1)}a]\approx f\_{\varphi (\omega ,0,0)}(a)}

etc.

Do all of the arrays in there but with (1). Then, get to (1) on that to get to (2). etc.

Then, start to do arrays in ().

[

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a
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≈

f

φ
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ω

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{\displaystyle [\_{(a)}a]\approx f\_{\varphi (\omega ,0,0)\omega }(a)}

[

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a
]
≈

f

φ
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ω
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)
ω
1

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{\displaystyle [\_{(0,0)}a]\approx f\_{\varphi (\omega ,0,0)\omega +1}(a)}

You can even get to ((1)) and beyond.

[

(
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a
]
≈

f

φ
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)

2

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{\displaystyle [\_{((1))}a]\approx f\_{\varphi (\omega ,0,0)^{2}}(a)}

[

(
1
)

(
1
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# ]

[

(
(
(
…
(
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)
)

a
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{\displaystyle [\_{(1)~(1)}a]=[\_{(((\dots (((1)))\dots )))}a]}

a times

[

(
1
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≈

f

φ
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)

ω

(
a
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{\displaystyle [\_{(1)~(1)}a]\approx f\_{\varphi (\omega ,0,0)^{\omega }}(a)}

etc.

etc.

Nest the first number in () to get the second number to be (2). etc.

Then, get to (1) (1) (1) like you normally would. etc.

[

1

/

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{\displaystyle [\_{1/1}a]=[\_{(1)~(1)~(1)\dots (1)~(1)~(1)}a]}

a times

[

1

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≈

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φ
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ω

ω

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{\displaystyle [\_{1/1}a]\approx f\_{\varphi (\omega ,0,0)^{\omega ^{\omega }}}(a)}

You basically do all the stuff again there to get 2/1. etc.

Then, get (1/1)/1, and nest that to get 1/2. etc.

[

1

/

2

a
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≈

f

φ
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ω
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ε

0

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{\displaystyle [\_{1/2}a]\approx f\_{\varphi (\omega ,0,0)^{\varepsilon \_{0}}}(a)}

Get to 1/1/1. etc.

[

1

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≈

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φ
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ε

ε

0

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{\displaystyle [\_{1/1/1}a]\approx f\_{\varphi (\omega ,0,0)^{\varepsilon \_{\varepsilon \_{0}}}}(a)}

1//1 = 1/1/1...1/1/1. etc.

[

1

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1

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ζ

0

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{\displaystyle [\_{1//1}a]\approx f\_{\varphi (\omega ,0,0)^{\zeta \_{0}}}(a)}

[

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[

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/

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{\displaystyle [\_{1/\_{1}1}a]=[\_{1///\dots ///1}a]}

a times

[

1

/

1

1

a
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≈

f

φ
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ω
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0
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0

)

φ
(
ω
,
0
)

(
a
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{\displaystyle [\_{1/\_{1}1}a]\approx f\_{\varphi (\omega ,0,0)^{\varphi (\omega ,0)}}(a)}

etc.

Thing like "

1

/

1

1

/

1

{\displaystyle 1/\_{1}1/1}

" are valid.