Blank Notation

Candidate for deletionThis page has been nominated for removal from the wiki. The reason given is: The article lags too much. If you disagree with it's deletion, please explain why at the **talk page**.Remember to check what links here and the page history before deletion.

## Info

Blank Notation is a notation created by user BlankEntity.

## Definition

###

<
ω

{\displaystyle <\omega}

B
L
[
0

]

m

(
n
# )
m
n

{\displaystyle BL[0]\_{m}(n)=mn}

B
L
[
1

]

m

(
n
# )

m

n

{\displaystyle BL[1]\_{m}(n)=m^{n}}

B
L
[
2

]

m

(
n
# )
m
↑↑
n

{\displaystyle BL[2]\_{m}(n)=m\uparrow\uparrow n}

B
L
[
3

]

m

(
n
# )
m
↑↑↑
n

{\displaystyle BL[3]\_{m}(n)=m\uparrow\uparrow\uparrow n}

B
L
[
x

]

m

(
n
# )
m

x

n

{\displaystyle BL[x]\_{m}(n)=m\uparrow^{x}n}

###

ω

{\displaystyle \omega}

ϵ

{\displaystyle \epsilon}

B
L
[
ω
x

]

m

(
n
# )
B
L
[
B
L
[
x

]

m

(
n
)

]

m

(
n
)

{\displaystyle BL[\omega x]\_{m}(n)=BL[BL[x]\_{m}(n)]\_{m}(n)}

B
L
[

ω

x

]

m

(
n
# )

B
L
[
B
L
[
⋯
[
B
L
[
B
L
[
x

]

m

(
n
)

]

m

(
n
)
]
⋯

]

m

(
n
)

]

m

(
n
)

⏟

x

{\displaystyle BL[\omega^{x}]\_{m}(n)=\underbrace{BL[BL[\cdots[BL[BL[x]\_{m}(n)]\_{m}(n)]\cdots]\_{m}(n)]\_{m}(n)}\_{x}}

B
L
[
ω
↑↑
x

]

m

(
n
# )

B
L
[
B
L
[
⋯
[
B
L
[
B
L
[
x

]

m

(
n
)

]

m

(
n
)
]
⋯

]

m

(
n
)

]

m

(
n
)

⏟

B
L
[
B
L
[
⋯
[
B
L
[
B
L
[
x

]

m

(
n
)

]

m

(
n
)
]
⋯

]

m

(
n
)

]

m

(
n
)

⏟

x

{\displaystyle BL[\omega\uparrow\uparrow x]\_{m}(n)=\underbrace{BL[BL[\cdots[BL[BL[x]\_{m}(n)]\_{m}(n)]\cdots]\_{m}(n)]\_{m}(n)}\_{\underbrace{BL[BL[\cdots[BL[BL[x]\_{m}(n)]\_{m}(n)]\cdots]\_{m}(n)]\_{m}(n)}\_{x}}}

###

ϵ

{\displaystyle \epsilon}

ζ

{\displaystyle \zeta}

B
L
[

ϵ

x

]

m

(
n
# )
{
n
,
n
,
x
,
m
}

{\displaystyle BL[\epsilon\_{x}]\_{m}(n)=\{ n,n,x,m \}}

B
L
[

ϵ

ω
x

]

m

(
n
# )
{
n
,
n
,
n
x
,
m
}

{\displaystyle BL[\epsilon\_{\omega x}]\_{m}(n)=\{ n,n,nx,m \}}

B
L
[

ϵ

ω

x

]

m

(
n
# )
{
n
,
n
,

n

x

,
m
}

{\displaystyle BL[\epsilon\_{\omega^{x}}]\_{m}(n)=\{ n,n,n^{x},m \}}

B
L
[

ϵ

ω
↑↑
x

]

m

(
n
# )
{
n
,
n
,
(
n
↑↑
x
)
,
m
}

{\displaystyle BL[\epsilon\_{\omega\uparrow\uparrow x}]\_{m}(n)=\{ n,n,(n\uparrow\uparrow x),m \}}

B
L
[

ϵ

ϵ

x

]

m

(
n
# )
{
B
L
[
x

]

m

(
n
)
,
n
,
n
,
m
}

{\displaystyle BL[\epsilon\_{\epsilon\_{x}}]\_{m}(n)=\{ BL[x]\_{m}(n),n,n,m \}}

B
L
[

ϵ

ϵ

ω
x

]

m

(
n
# )
{
B
L
[
ω
x

]

m

(
n
)
,
n
,
n
,
m
}

{\displaystyle BL[\epsilon\_{\epsilon\_{\omega x}}]\_{m}(n)=\{ BL[\omega x]\_{m}(n),n,n,m \}}

B
L
[

ϵ

ϵ

ϵ

x

]

m

(
n
# )
{
B
L
[

ϵ

x

]

m

(
n
)
,
n
,
n
,
m
}

{\displaystyle BL[\epsilon\_{\epsilon\_{\epsilon\_{x}}}]\_{m}(n)=\{ BL[\epsilon\_{x}]\_{m}(n),n,n,m \}}

###

ζ

{\displaystyle \zeta}

η

{\displaystyle \eta }

B
L
[

ζ

x

]

m

(
n
# )
{
n
,
n
,
n
,
x
,
m
}

{\displaystyle BL[\zeta\_{x}]\_{m}(n)=\{ n,n,n,x,m \}}

B
L
[

ζ

ζ

x

]

m

(
n
# )
{
B
L
[

ζ

x

]

m

(
n
)
,
n
,
n
,
n
,
m
}

{\displaystyle BL[\zeta\_{\zeta\_{x}}]\_{m}(n)=\{ BL[\zeta\_{x}]\_{m}(n),n,n,n,m \}}

B
L
[

ζ

ζ

ζ

x

]

m

(
n
# )
{
B
L
[

ζ

ζ

x

]

m

(
n
)
,
n
,
n
,
n
,
m
}

{\displaystyle BL[\zeta\_{\zeta\_{\zeta\_{x}}}]\_{m}(n)=\{ BL[\zeta\_{\zeta\_{x}}]\_{m}(n),n,n,n,m \}}

###

η

{\displaystyle \eta }

φ
(
ω
,
x
)

{\displaystyle \varphi(\omega,x)}

B
L
[

η

x

]

m

(
n
# )
{
n
,
n
,
n
,
n
,
x
,
m
}

{\displaystyle BL[\eta\_{x}]\_{m}(n)=\{ n,n,n,n,x,m \}}

B
L
[
φ
(
4
,
x
)

]

m

(
n
# )
{
n
,
{
n
,
m
,
n
}
,
x
}

{\displaystyle BL[\varphi(4,x)]\_{m}(n)=\{ n,\{ n,m,n \},x \}}

B
L
[
φ
(
5
,
x
)

]

m

(
n
# )
{
n
,
{
n
,
n
,
m
,
m
}
,
x
}

{\displaystyle BL[\varphi(5,x)]\_{m}(n)=\{ n,\{ n,n,m,m \},x \}}

###

≥
φ
(
ω
,
x
)

{\displaystyle \geq\varphi(\omega,x)}

B
L
[
φ
(
1
,
0
,
x
)

]

m

(
n
# )
{
n
,
{
n
,
{
n
,
m
,
n
}
,
n
}
,
x
}

{\displaystyle BL[\varphi(1,0,x)]\_{m}(n)=\{ n,\{ n,\{ n,m,n \},n \},x \}}

B
L
[
φ
(
1
,
1
,
x
)

]

m

(
n
# )
{
n
,
{
n
,
{
n
,
n
,
m
,
m
}
,
n
}
,
x
}

{\displaystyle BL[\varphi(1,1,x)]\_{m}(n)=\{ n,\{ n,\{ n,n,m,m \},n \},x \}}

B
L
[
φ
(
2
,
0
,
x
)

]

m

(
n
# )
{
n
,
{
n
,
{
n
,
{
n
,
m
,
n
}
,
n
}
,
n
}
,
x
}

{\displaystyle BL[\varphi(2,0,x)]\_{m}(n)=\{ n,\{ n,\{ n,\{ n,m,n \},n \},n \},x \}}