User blog:TechKon/Left-right arrow notation

I have devised another type of arrow notation similar to Conway's chained arrow notation. I think it's more straightforward than most of my notations/functions, so it'll be easier to follow.

Definiton of \(a\leftrightarrow b\)

 * \(a\leftrightarrow 1\) = \(a\uparrow ^{a}a\) = \(a\underset{a}{\underbrace{\uparrow \uparrow . . . \uparrow \uparrow }}a\)
 * \(a,b\leftrightarrow 1\) = \(a\uparrow ^{b}a\) = \(a\underset{b}{\underbrace{\uparrow \uparrow . . . \uparrow \uparrow }}a\)
 * meaning, \(a,a\leftrightarrow 1\) = \(a\uparrow ^{a}a\) = \(a\leftrightarrow 1\)
 * ​\(a\leftrightarrow 2\) = [[File:Googological_Notation_-_Left-right_Arrow_Notation_-_Representation_1.png]]
 * \(a,b,c\leftrightarrow 2\) = [[File:Googological_Notation_-_Left-right_Arrow_Notation_-_Representation_2.png]]
 * \(a,a,c\leftrightarrow 2\) = \(a,c\leftrightarrow 2\) = [[File:Googological_Notation_-_Left-right_Arrow_Notation_-_Representation_3.png]]
 * \(a\leftrightarrow 3\) = Googological_Notation_-_Left-right_Arrow_Notation_-_Representation_4.png
 * \(a\leftrightarrow 4\) = Googological_Notation_-_Left-right_Arrow_Notation_-_Representation_5.png
 * \({a,\underset{b}{\underbrace{a,a,a,...a,a}}}\leftrightarrow b\) = \(a\leftrightarrow b\)
 * \({a,\underset{b}{\underbrace{a,a,a,...a,a,c}}}\leftrightarrow b\) = \(a,c\leftrightarrow b\)
 * \({a,\underset{b}{\underbrace{a,a,a,...a,a,c,d}}}\leftrightarrow b\) = \(a,c,d\leftrightarrow b\)