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{{DISPLAYTITLE:Theme One Program : Exposition}}
{{DISPLAYTITLE:Theme One Program : Exposition}}
==Expository Note 1==
<pre>
<pre>
Theme One Program Exposition
Theme One Program Exposition
particular varieties and the specific variants of cactoid graphs
particular varieties and the specific variants of cactoid graphs
that constitute the main formal media of the program's operation.
that constitute the main formal media of the program's operation.
</pre>
==Expository Note 2==
<pre>
2. Painted And Rooted Cacti And Conifers
2. Painted And Rooted Cacti And Conifers
of identifiers, the "paints", plus three punctuation marks,
of identifiers, the "paints", plus three punctuation marks,
the left parenthesis, the comma, and the right parenthesis.
the left parenthesis, the comma, and the right parenthesis.
</pre>
==Expository Note 3==
<pre>
2. Painted And Rooted Cacti And Conifers (cont.)
2. Painted And Rooted Cacti And Conifers (cont.)
PERS. http://stderr.org/pipermail/inquiry/2004-May/thread.html#1391
PERS. http://stderr.org/pipermail/inquiry/2004-May/thread.html#1391
PERS. http://forum.wolframscience.com/showthread.php?threadid=297
PERS. http://forum.wolframscience.com/showthread.php?threadid=297
</pre>
==Expository Note 4==
<pre>
2. Painted And Rooted Cacti And Conifers (concl.)
2. Painted And Rooted Cacti And Conifers (concl.)
but it cannot be segmented, that is, the 'by'-cycle corresponding to the
but it cannot be segmented, that is, the 'by'-cycle corresponding to the
root node can bear no commas.
root node can bear no commas.
</pre>
==Expository Note 5==
<pre>
3. Lexical, Literal, Logical
3. Lexical, Literal, Logical
of cactus graphs we have a bit more to do in the way of detailing their
of cactus graphs we have a bit more to do in the way of detailing their
syntactic utilities. So those are the matters that I will turn to next.
syntactic utilities. So those are the matters that I will turn to next.
</pre>
==Expository Note 6==
<pre>
3.1. Lexical Cacti
3.1. Lexical Cacti
the left and right parentheses, and the period, as these latter
the left and right parentheses, and the period, as these latter
marks are reserved to special purposes by the Theme One program.
marks are reserved to special purposes by the Theme One program.
</pre>
==Expository Note 7==
<pre>
3.1. Lexical Cacti (cont.)
3.1. Lexical Cacti (cont.)
Figure 5. Concrete Lexical Cactus: am
Figure 5. Concrete Lexical Cactus: am
</pre>
==Expository Note 8==
<pre>
3.1. Lexical Cacti (cont.)
3.1. Lexical Cacti (cont.)
Figure 6. Lexical Cactus: all bees buzz
Figure 6. Lexical Cactus: all bees buzz
</pre>
==Expository Note 9==
<pre>
3.1. Lexical Cacti (cont.)
3.1. Lexical Cacti (cont.)
to view these for now as a form of "parity checks", or a built-in
to view these for now as a form of "parity checks", or a built-in
redundancy for controlling potential errors in coding the data.
redundancy for controlling potential errors in coding the data.
</pre>
==Expository Note 10==
<pre>
3.1. Lexical Cacti (concl.)
3.1. Lexical Cacti (concl.)
Figure 9. Making a Big Point of a Prefix Word
Figure 9. Making a Big Point of a Prefix Word
</pre>
==Expository Note 11==
<pre>
3.2. Literal Cacti
3.2. Literal Cacti
Figure 11. Lexical Cactus + Literal Cactus: am
Figure 11. Lexical Cactus + Literal Cactus: am
</pre>
==Expository Note 12==
<pre>
3.2. Literal Cacti (concl.)
3.2. Literal Cacti (concl.)
that we need to get back to logical cacti, and that amounts to such
that we need to get back to logical cacti, and that amounts to such
a compelling subject that I cannot resist returning to it at once.
a compelling subject that I cannot resist returning to it at once.
</pre>
==Expository Note 13==
<pre>
3.3. Logical Cacti
3.3. Logical Cacti
| | | | |
| | | | |
o----o-------------------o-------------------o-------------------o
o----o-------------------o-------------------o-------------------o
</pre>
==Expository Note 14==
<pre>
3.3. Logical Cacti (cont.)
3.3. Logical Cacti (cont.)
with a few hints of what it would take to
with a few hints of what it would take to
guarantee that these practices make sense.
guarantee that these practices make sense.
</pre>
==Expository Note 15==
<pre>
3.3. Logical Cacti (cont.)
3.3. Logical Cacti (cont.)
arises in the case of logical cacti,
arises in the case of logical cacti,
so let us now turn to consider that.
so let us now turn to consider that.
</pre>
==Expository Note 16==
<pre>
3.3.1. Bare Cacti and Their Arithmetic
3.3.1. Bare Cacti and Their Arithmetic
| Rule I_4` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` |
| Rule I_4` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` |
o-----------------------------------------------------------o
o-----------------------------------------------------------o
</pre>
==Expository Note 17==
<pre>
3.3.1. Bare Cacti and Their Arithmetic (cont.)
3.3.1. Bare Cacti and Their Arithmetic (cont.)
</pre>
==Work Area==
<pre>
Example 1. Painted And Rooted Cactus.
Example 1. Painted And Rooted Cactus.
