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This blog will be the first of a series of blog posts outlining the workings of my notation in more detail starting with this one that will explore the first level of my notation mainly the {a,b,c} part outlined in my blog titled "My next attempt at an array notation."

We begin by writing the definition of what {a,b,c} is: {a,b,c} = a_(b-2) up arrows c.

To outline this concept I'll start b=1 then move up the b's so as to fully explain what {a,b,c} does.

{a,1,c}= a+c simple right nothing highly drastic here just simple addition this forms the basis of the rest of the notation as everything else can be derecursed to this level.

{a,2,c}= a*c.

{a,3,c}= a^c

{a,4,c}=a^^c

{a,5,c}=a^^^c

{a,6,c}=a^^^^c

{a,7,c}=a^^^^^c

{a,8,c}=a^^^^^^c

As you can see {a,b,c}= a_b-2 up arrows c.

That's all for part 1 part 2 will explore more into the inner workings of my notation.


                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 

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