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→‎Note 9: markup
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For example, in some applications the discursive universes <math>U^\circ = [u, v]</math> and <math>X^\circ = [x, y]</math> are actually the same universe, and what we have is a frame where <math>x\!</math> is the next state of <math>u\!</math> and <math>y\!</math> is the next state of <math>v,\!</math> notated as <math>x = u'\!</math> and <math>y = v'.\!</math>  This permits us to rewrite the transformation <math>F\!</math> as follows:
 
For example, in some applications the discursive universes <math>U^\circ = [u, v]</math> and <math>X^\circ = [x, y]</math> are actually the same universe, and what we have is a frame where <math>x\!</math> is the next state of <math>u\!</math> and <math>y\!</math> is the next state of <math>v,\!</math> notated as <math>x = u'\!</math> and <math>y = v'.\!</math>  This permits us to rewrite the transformation <math>F\!</math> as follows:
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<pre>
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{| align="center" cellpadding="8" width="90%"
<u', v'=   F<u, v=   <((u)(v)), ((u, v))>
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|
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<math>\begin{array}{ccccc}
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u'      & = & f(u, v) & = & \underline{((}~ u ~\underline{)(}~ v ~\underline{))}
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\\ \\
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v'      & = & g(u, v) & = & \underline{((}~ u ~,~ v ~\underline{))}
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\\ \\
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(u', v') & = & F(u, v) & = & ( ~\underline{((}~ u ~\underline{)(}~ v ~\underline{))}~ , ~\underline{((}~ u ~,~ v ~\underline{))}~ )
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\end{array}</math>
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|}
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All in all, then, we have three different ways in general
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All in all, then, we have three different ways in general of applying or interpreting a transformation of discourse, that we might sum up as one brand of alias and two brands
of applying or interpreting a transformation of discourse,
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of alibi, all together, the ''Elseword'', the ''Elsewhere'', and the ''Elsewhen''.
that we might sum up as one brand of alias and two brands
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of alibi, all together, the Elseword, Elsewhere, Elsewhen.
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No more angels on pinheads,
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No more angels on pinheads, the brass tacks next time.
the brass tacks next time.
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</pre>
      
==Note 10==
 
==Note 10==
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