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Directory:Jon Awbrey/Papers/Differential Analytic Turing Automata
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Revision as of 20:31, 10 March 2009
255 bytes added
,
20:31, 10 March 2009
→Note 17
:
markup
Line 1,154:
Line 1,154:
so on until there is nothing left to analyze any further.
so on until there is nothing left to analyze any further.
−
<pre>
As a general rule, one proceeds by way of the following stages:
As a general rule, one proceeds by way of the following stages:
−
1.
EF
=
[
d^0
]
F +
[
r^0
]
F
+
{| align="center" cellpadding="8" width="90%"
−
+
|
−
2.
[
r^0
]
F
=
[
d^1
]
F +
[
r^1
]
F
+
<math>\begin{array}{lccccc}
−
+
1.
& \operatorname{E}F &
=
& \operatorname{
d
}
^0 F
&
+
& \operatorname{
r
}
^0 F
−
3.
[
r^1
]
F
=
[
d^2
]
F +
[
r^2
]
F
+
\\
−
+
2.
& \operatorname{
r
}
^0 F
&
=
& \operatorname{
d
}
^1 F
&
+
& \operatorname{
r
}
^1 F
−
4.
...
+
\\
+
3.
& \operatorname{
r
}
^1 F
&
=
& \operatorname{
d
}
^2 F
&
+
& \operatorname{
r
}
^2 F
+
\\
+
4.
& \ldots
+
\end{array}</math>
+
|}
+
<pre>
In our analysis of the current transformation F,
In our analysis of the current transformation F,
we carried out Step 1 in the more familiar form
we carried out Step 1 in the more familiar form
Jon Awbrey
12,089
edits