Changes

Directory:Jon Awbrey/Papers/Differential Analytic Turing Automata (view source)

Revision as of 13:03, 4 March 2009

321 bytes removed , 13:03, 4 March 2009

→‎Note 9: markup

Line 431: Line 431:

==Note 9==

−

~~<pre>~~

+

As an object example, let us consider the "transformation of textual elements" (TOTE) in progress:

−

~~By virtue of Zipf's law -- yes, there is a dynamics to its economics --~~

−

~~I have found myself forced, when it comes to matters that I've been~~

−

~~thinking about for "years and years" (YAY) to make a heavy, if not~~

−

~~to say~~ an ~~overbearing use of acronyms~~, ~~both for their utility as~~

−

~~mnemonic devices and as a~~ "~~regime~~ of ~~code compression~~" (~~ROCC~~).

−

~~I'm well aware that this can be annoying at times, so please~~

−

~~forgive what I hope will be a transient nuisance and I will~~

−

~~do my level best to unpack these lexical quanta as we go.~~

−

A "~~moral of the episode~~" (~~MOTE~~) ~~on the wing here:~~

+

{| align="center" cellpadding="8" width="90%"

−

~~A "transformation of textual elements"~~ (~~TOTE~~) is

+

| <math>x ~=~ f(u, v) ~=~ \underline{((}~ u ~\underline{)(}~ v ~\underline{))}</math>

−

~~a "formal or mathematical abstraction"~~ (~~FOMA~~) of

+

|-

−

~~a very high order~~, ~~to wit~~, ~~a "formal object" (FO~~).

+

| <math>y ~=~ g(u, v) ~=~ \underline{((}~ u ~,~ v ~\underline{))}</math>

+

|}

−

~~As an object example, let us consider the TOTE in progress:~~

+

{| align="center" cellpadding="8" width="90%"

−

+

| <math>(x, y) ~=~ F(u, v) ~=~ ( ~\underline{((}~ u ~\underline{)(}~ v ~\underline{))}~ , ~\underline{((}~ u ~,~ v ~\underline{))}~ ).</math>

−

<x, y> = F<u, v> = <((u)(v)), ((u, v))>

+

|}

+

<pre>

Taken as a transformation from the universe U% = [u, v]

to the universe X% = [x, y], this is a particular type

Jon Awbrey

12,089

edits