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Directory:Jon Awbrey/Papers/Differential Propositional Calculus (view source)
Revision as of 14:44, 6 May 2008
, 14:44, 6 May 2008→Note 15: markup
===Note 15===
===Note 15===
Before we tangle with the rest of the Jets and Sharks example, let's look at a cactus expression that's next in the series we just considered, this time a lobe with three variables. For instance, let's analyze the cactus form whose graph and string expressions are shown in the next display.
<pre>
<pre>
o-------------------------------------------------o
o-------------------------------------------------o
| |
| |
| (x, y, z) |
| (x, y, z) |
o-------------------------------------------------o
o-------------------------------------------------o
</pre>
As always in this competitive paradigm, we assume that
As always in this competitive paradigm, we assume that the units <math>x, y, z\!</math> are mutually inhibitory, so that the only states that are possible at equilibrium are those with exactly one unit charged and all the rest at rest. Table 8 gives the lobal dynamics of the form <math>(x, y, z).\!</math>
the units x, y, z are mutually inhibitory, so that the
only states that are possible at equilibrium are those
with exactly one unit charged and all the rest at rest.
Table 8 gives the lobal dynamics of the form (x, y, z).
<pre>
Table 8. Lobal Dynamics of the Form (x, y, z)
Table 8. Lobal Dynamics of the Form (x, y, z)
o-----------o-----------o-----------o-----------o
o-----------o-----------o-----------o-----------o