User blog:B1mb0w/Alpha Function Code q2.0

Alpha Function Code (Quantum Function) version 2.0
Javascript code for my Alpha Function based on my Quantum Function is available in Google Sheets. You are free to use and copy the code as you like. Version 1.0 of the Javascript code in Google Sheets is available.

WORK IN PROGRESS
Version 2.0 of the Javascript code in Google Sheets is currently being developed.

\(\alpha(2.75) = Q(1,3)\)

\(\alpha(3) = Q^{2}(1,3_*)\)

\(\alpha(3.5) = Q^{3}(1,3_*)\)

\(\alpha(3.9) = Q^{Q(3)}(1,3_*)\)

\(\alpha(4.01) = Q^{Q^{2}(3)}(1,3_*)\)

\(\alpha(4.15) = Q^{Q^{3}(3)}(1,3_*)\)

\(\alpha(4.3) = Q(2,3)\)

\(\alpha(6) = Q^{3}(2,3_*)\)

\(\alpha(7.3) = Q^{Q(3)}(2,3_*)\)

\(\alpha(7.48) = Q^{Q^{2}(3)}(2,3_*)\)

\(\alpha(7.7) = Q^{Q^{3}(3)}(2,3_*)\)

\(\alpha(7.89) = Q^{Q(1,3)}(2,3_*)\)

\(\alpha(8.16) = Q^{Q(Q^{2}(1,3_*))}(2,3_*)\)

\(\alpha(8.335) = Q^{Q^{3}(1,3_*)}(2,3_*)\)

\(\alpha(8.635) = Q^{Q^{Q(3)}(1,3_*)}(2,3_*)\)

\(\alpha(8.698) = Q^{Q^{Q^{2}(3)}(1,3_*)}(2,3_*)\)

\(\alpha(8.761) = Q^{Q^{Q^{3}(3)}(1,3_*)}(2,3_*)\)

\(\alpha(8.8) = Q^{Q^{2}(Q(2,3))}(Q^{Q^{2}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*))\)

\(\alpha(8.82) = Q^{2}(Q(1,Q^{Q^{Q^{2}(Q^{2}(1,3_*))}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)))\)

\(\alpha(8.824) = Q^{Q^{Q^{2}(Q^{Q^{2}(3)}(1,3_*))}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)\)

\(\alpha(8.8247) = Q^{Q^{3}(3)}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.82474) = Q^{Q^{3}(2,3_*)}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.824746) = Q^{Q^{Q^{3}(1,3_*)}(2,3_*)}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.8247469) = Q^{2}(Q^{Q^{Q(Q^{3}(2,3_*))}(Q^{Q^{Q^{2}(3)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*))}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*))\)

\(\alpha(8.82474692) = Q^{Q^{Q^{Q^{3}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.824746928) = Q^{Q^{2}(Q^{Q(Q^{Q^{2}(3)}(1,3_*))}(2,3_*))}(Q^{Q^{Q^{2}(3)}(Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*))}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*))\)

\(\alpha(8.8247469282) = Q^{Q^{Q^{3}(2,3_*)}(Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*))}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.8247469282402) = Q^{Q^{Q^{3}(1,Q^{Q^{Q(Q^{2}(1,3_*))}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)}(Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*))}(1,Q^{Q^{Q^{Q^{3}(3)}(1,3_*)}(Q^{Q^{3}(3)}(1,3_*))}(2,3_*)_*)\)

\(\alpha(8.8247469282403) = Q(t_0(0),3)\)

\(\alpha(8.828) = Q(Q(t_0(0),3))\)

\(\alpha(8.831) = Q^{2}(Q(t_0(0),3))\)

\(\alpha(8.832) = Q^{3}(Q(t_0(0),3))\)

\(\alpha(8.83234) = Q^{Q(1,3)}(Q(t_0(0),3))\)

\(\alpha(8.83272) = Q^{Q(2,3)}(Q(t_0(0),3))\)

\(\alpha(8.834) = Q^{Q(t_0(0),3)}(Q(t_0(0),3))\)

\(\alpha(8.8349) = Q(1,Q(t_0(0),3))\)

\(\alpha(8.844) = Q(2,Q(t_0(0),3))\)

\(\alpha(8.8535) = Q(3,Q(t_0(0),3))\)

\(\alpha(8.8635) = Q^{2}(t_0(0),3_*)\)

\(\alpha(8.91) = Q^{3}(t_0(0),3_*)\)

\(\alpha(8.9537) = Q^{Q(1,3)}(t_0(0),3_*)\)

\(\alpha(8.96673) = Q^{Q(2,3)}(t_0(0),3_*)\)

\(\alpha(8.981) = Q(Q(t_0(0)),3)\)

\(\alpha(9.8264) = Q(Q(1,t_0(0)),3)\)

\(\alpha(11.0255) = Q(Q(2,t_0(0)),3)\)

\(\alpha(12.47709) = Q(Q(t_0(0),t_0(0)),3)\)

\(\alpha(13.31983) = Q(Q(Q(1,t_0(0)),t_0(0)),3)\)

\(\alpha(14.255592) = Q(Q(Q(2,t_0(0)),t_0(0)),3)\)

\(\alpha(15.298196) = Q(Q(Q(t_0(0),t_0(0)),t_0(0)),3)\)

\(\alpha(16.4640831) = Q(Q(Q(Q(1,t_0(0)),t_0(0)),t_0(0)),3)\)

\(\alpha(17.7728689) = Q(Q(Q(Q(2,t_0(0)),t_0(0)),t_0(0)),3)\)

\(\alpha(19.75) = Q(Q^{2}(Q^{[-1]}(Q^{t_0(0)}(Q^{t_0(0)}(2,t_0(0)_*))_*,t_0(0))_*,t_0(0)),3)\)

\(\alpha(19.77) = Q(Q^{2}(Q^{[-1]}(Q(1,Q^{t_0(0)}(2,t_0(0)_*))_*,t_0(0))_*,t_0(0)),3)\)

\(\alpha(33.71614) = Q(Q^{2}(Q^{Q^{Q^{t_0(0)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*)}(1,Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*)_*)_*,t_0(0)),3)\)

\(\alpha(33.7161445) = Q(Q^{2}(Q^{Q^{Q^{Q^{3}(1,t_0(0)_*)}(Q^{Q^{Q^{t_0(0)}(t_0(0))}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*))}(Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*))}(1,Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*)_*)_*,t_0(0)),3)\)

\(\alpha(33.716144531) = Q(Q^{2}(Q^{Q^{3}(2,t_0(0)_*)}(Q^{Q^{Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*)}(Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*))}(1,Q^{Q^{Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*)}(Q^{Q^{t_0(0)}(t_0(0))}(1,t_0(0)_*))}(2,t_0(0)_*)_*))_*,t_0(0)),3)\)

\(\alpha(33.716144532) = Q(t_0(1),3)\)

\(\alpha(33.718) = Q(t_0(1),3)\)

APPROXIMATIONS
\(\alpha(19.75) = Q(Q^{2}(Q^{[1]}(Q(Q(Q(t_0(0),t_0(0)),t_0(0)),t_0(0))_*,t_0(0))_*,t_0(0)),3)\)

\(\alpha(19.75) = Q(Q^{2}(Q^{[1]}(Q(Q(1,Q(Q(Q(t_0(0),t_0(0))),t_0(0))),t_0(0))_*,t_0(0))_*,t_0(0)),3)\)

\(\alpha(19.75) = Q(Q^{2}(Q^{[1]}(Q(Q^{t_0(0)}(1,Q(Q(Q(t_0(0),t_0(0))),t_0(0))_*),t_0(0))_*,t_0(0))_*,t_0(0)),3)\)

Further References
Further references to relevant blogs can be found here: User:B1mb0w