|
Post by Admin on Jun 7, 2014 0:09:07 GMT
First Level Y
[a,b Y c,d]HC is the next step into making bigger and better numbers
[a,b Y c,d]HC=[a,b Ψ([c,d]HC,[c,d]HC-1,...,2,1)([c,d]HC-1,[c,d]HC-2,...,2,1)([c,d]HC-2,[c,d]HC-3,...,2,1)...(2,1)(1) c,d]HC
[a,b 2Y c,d]HC=[a,b Y a,b Y...Y a,b]HC [a,b αY c,d]HC=[a,b (α-1)Y a,b (α-1)Y...(α-1)Y a,b]HC
[a,b Y2 c,d]HC=[a,b [c,d]HCY c,d]HC [a,b Yβ c,d]HC=[a,b [c,d]HCYβ-1 c,d]HC [a,b αYβ c,d]HC=[a,b (α-1)Yβ a,b (α-1)Yβ...(α-1)Yβ a,b]HC
[a,b a1Yn+a2Yn-1+...+anY c,d]HC is a general form of the First level Y. Always start simplifying the Y with the lowest order (exponent)
|
|
|
Post by Admin on Jun 13, 2014 22:48:07 GMT
Second Level Y Where there is a Y in the exponent of a Y
[a,b YY c,d]HC=[a,b Y[c,d]HC c,d]HC
There can also be an coefficient on that Y
[a,b YαY c,d]HC=[a,b [c,d]HCY(α-1)Y c,d]HC
There can be an exponent on the Y
[a,b YYβ c,d]HC=[a,b Y[c,d]HCYβ-1 c,d]HC
Polynomials can be made with the exponent
[a,b Ya1Yn+a2Yn-1+...+anY c,d]HC
As with the first level Y's you always start with the Y of the lowest order
|
|
|
Post by Admin on Jun 15, 2014 19:04:25 GMT
3th and 4th level Y's follow this same pattern
[a,b Y↑↑n c,d]HC is the next step
[a,b Y↑↑2 c,d]HC=[a,b Y↑Y c,d]HC=[a,b Y↑[c,d]HC c,d]HC [a,b Y↑↑3 c,d]HC=[a,b Y↑Y↑Y c,d]HC=[a,b Y↑Y↑[c,d]HC c,d]HC [a,b Y↑↑α c,d]HC=[a,b Y↑Y↑...↑[c,d]HC c,d]HC where there are α-1 arrows
|
|
|
Post by Admin on Jun 25, 2014 5:01:05 GMT
We follow a similar pattern for multiple arrows
[a,b Y↑↑↑2 c,d]HC=[a,b Y↑↑Y c,d]HC=[a,b Y↑↑[c,d]HC c,d]HC
[a,b Y↑↑↑3 c,d]HC=[a,b Y↑↑Y↑↑Y c,d]HC=[a,b Y↑↑Y↑↑[c,d]HC c,d]HC ... [a,b Y↑↑↑↑2 c,d]HC=[a,b Y↑↑↑Y c,d]HC=[a,b Y↑↑↑[c,d]HC c,d]HC
[a,b Y↑↑↑↑3 c,d]HC=[a,b Y↑↑↑Y↑↑↑Y c,d]HC=[a,b Y↑↑↑Y↑↑↑[c,d]HC c,d]HC
[a,b Y{{1}}3 c,d]HC uses Bower's Expansion to represent very large Y's
[a,b Y{{1}}3 c,d]HC=[a,b Y{Y{Y}Y}Y c,d]HC=[a,b Y{Y{[c,d]HC}Y}Y c,d]HC=[a,b Y{Y↑↑...↑↑Y}Y c,d]HC with [c,d]HC ↑'s=[a,b Y{Y↑↑...↑↑[c,d]HC}Y c,d]HC=how much you mom weighs
[a,b Y{{2}}3 c,d]HC=[a,b Y{{1}}Y{{1}}Y c,d]HC=[a,b Y{{1}}(Y{{1}}Y) c,d]HC
|
|