Raymillion Function (extension)

This is an extension to the **Raymillion Function**.

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{\displaystyle Ray\_{0,1}(1)=Ray(\mho\_{Ray(0)}), Ray\_{0,1}(2)=Ray(\mho\_{\mho\_{Ray(0)}}) }

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{\displaystyle Ray\_{0,1}(\infty )=Ray(\underbrace {\mho \_{\mho \_{.\_{.\_{.\_{\mho \_{Ray(0)}}}}}}} \_{\infty })}

, which solves as normal.

We can go far past infinity once again,

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{\displaystyle Ray\_{0,1}(Ray(0))}

We can finish evaluating inside the brackets,

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{\displaystyle Ray\_{0,1}(Ray\_{0,1}(1)),Ray\_{0,1}(0)=\infty }

Using the **Catching Function** on Googology Wiki and using the rules and terms of the Raymillion Function, we can go a lot further.

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{\displaystyle Ray\_{0,1}(\mho )}

, this counts as a repetition of the function.

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{\displaystyle Ray\_{0,1}(\mho ^{\mho }),Ray\_{0,1}(\mho ^{\mho ^{\mho }}),Ray\_{0,1}(\underbrace {\mho ^{\mho ^{\mho ^{.^{.^{\mho ^{\mho }}}}}}} \_{\infty }),Ray\_{0,1}(\underbrace {\mho ^{\mho ^{\mho ^{.^{.^{\mho ^{\mho }}}}}}} \_{Ray(0)})}

,we can keep going.

Rule

:
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{\displaystyle {\text{Rule}}:Ray\_{0,1}(\mho \_{2})\neq Ray\_{0,1}(\underbrace {\mho ^{\mho ^{\mho ^{.^{.^{\mho ^{\mho }}}}}}} \_{Ray(0)})}

,all subscripts are based on the previous set, the Ray function.

We can go much, much, much farther,

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{\displaystyle Ray\_{0,1}(I)}

,which can be near the limit of the function.

Let's go even further,

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and

so

on

.

{\displaystyle Ray\_{0,2}(1)=Ray\_{0,1}(\mho \_{Ray(0)}),Ray\_{0,2}(2)=Ray\_{0,1}(\mho \_{\mho \_{Ray(0)}}){\text{ }}{\text{and }}{\text{so }}{\text{on}}.}

**We can count this as a repeating Catching Function.**

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{\displaystyle Ray\_{1,0}(1)=Ray\_{0,Ray\_{0,1}(1)}(\infty ),Ray\_{1,0}(2)=Ray\_{0,Ray\_{0,Ray\_{0,1}(1)}(1)}(\infty ),Ray\_{1,0}(3)=Ray\_{0,Ray\_{0,Ray\_{0,Ray\_{0,1}(1)}(1)}}(\infty )}

We

can

go

to

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{\displaystyle {\text{We }}{\text{can }}{\text{go }}{\text{to }}Ray\_{1,0}(\infty ),{\text{ }}and{\text{ }}even{\text{ }}further}

We can then repeat this sequence all again.

{\displaystyle {\text{We can then repeat this sequence all again.}}}

The rate for the Raymillion function is 99.

9999...9999999
⏟

Ω

 copies of 9

{\displaystyle {\text{The rate for the Raymillion function is 99.}}\underbrace {\text{9999...9999999}} \_{\Omega {\text{ copies of 9}}}}

The aggressiveness of this function is 1.

The rate shows what percent of beings the Raymillion Function surpasses.

This function surpasses everything, and beyond that, and beyond that, and beyond that.. (Even if you said this infinity times, it's still beyond that, and beyond that... (it's still beyond (...)))

(That's because this function simply doesn't care what humans think is impossible, the function surpasses it anyway, like infinite power, and beyond anything created by any being and entity, and beyond that, and beyond that... still beyond...)

Other functions similar to the Raymillion Function:

Tray Function,

T
r
a
y
(
0
)

{\displaystyle {\text{Tray Function, }}Tray(0)}

Rate: 200%

Mim Function,

M
i
m
(
0
)

{\displaystyle {\text{Mim Function, }}Mim(0)}

Rate: 400%

Attillion Function,

A
t
i
(
0
)

{\displaystyle {\text{Attillion Function, }}Ati(0)}

Rate: 1000%

ζ

 Function,

I
(
0
)

{\displaystyle \zeta {\text{ Function, }}I(0)}

Rate:

∞

{\displaystyle \infty}

%

Γ

 Function,

G
(
0
)

{\displaystyle \Gamma {\text{ Function, }}G(0)}

Rate:

Ω
1

{\displaystyle \Omega\_1}

%. Omega 1 is absolute infinity.

θ

 Function,

T
h
e
(
0
)

{\displaystyle \theta {\text{ Function, }}The(0)}

Rate:

Ω
2

{\displaystyle \Omega\_2}

%

Δ

 Function,

D
e
l
(
0
)

{\displaystyle \Delta {\text{ Function, }}Del(0)}

Rate:

Ω
Ω

{\displaystyle \Omega\_\Omega}

%

Σ

 Function,

S
i
g
(
0
)

{\displaystyle \Sigma {\text{ Function, }}Sig(0)}

Rate:

Ω

Ω
Ω

{\displaystyle \Omega\_{\Omega\_\Omega}}

%

η

 Function,

E
t
(
0
)

{\displaystyle \eta {\text{ Function, }}Et(0)}

Rate:

C
(

Ω

Ω

)

{\displaystyle C(\Omega \_{\Omega })}

%

ℏ

 Function,

ℏ
(
0
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{\displaystyle \hbar {\text{ Function, }}\hbar (0)}

Rate:

C
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C

1

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Ω

Ω

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{\displaystyle C(C\_{1}(\Omega \_{\Omega }))}

%