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→Table 54. Cast of Characters: Expansive Subtypes of Objects and Operators
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</pre>
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:left; width:96%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:left; width:96%"
<p>(''U''<sup> •</sup> → ''X''<sup> •</sup>) →<br>
<p>(''U''<sup> •</sup> → ''X''<sup> •</sup>) →<br>
E''U''<sup> •</sup> → E''X''<sup> •</sup>) ,</p>
E''U''<sup> •</sup> → E''X''<sup> •</sup>) ,</p>
<p>For each W in the set:<br>
<p>for each W in the set:<br>
{<math>\epsilon</math>, <math>\eta</math>, E, D, d}</p>
{<math>\epsilon</math>, <math>\eta</math>, E, D, d}</p>
| valign="top" | <p>Operator</p>
| valign="top" | <p>Operator</p>
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| Differential Operator || d
| Differential Operator || d
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{| align="left" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; text-align:left; width:100%"
| <font face=georgia>'''W'''</font>
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{| align="left" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; text-align:left; width:100%"
| <font face=georgia>'''W'''</font> :
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| ''U''<sup> •</sup> → <font face=georgia>'''T'''</font>''U''<sup> •</sup> = E''U''<sup> •</sup> ,
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| ''X''<sup> •</sup> → <font face=georgia>'''T'''</font>''X''<sup> •</sup> = E''X''<sup> •</sup> ,
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| (''U''<sup> •</sup> → ''X''<sup> •</sup>) → (<font face=georgia>'''T'''</font>''U''<sup> •</sup> → <font face=georgia>'''T'''</font>''X''<sup> •</sup>) ,
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| for each <font face=georgia>'''W'''</font> in the set:
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| {<font face=georgia>'''e'''</font>, <font face=georgia>'''E'''</font>, <font face=georgia>'''D'''</font>, <font face=georgia>'''T'''</font>}
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{| align="left" border="0" cellpadding="2" cellspacing="0" style="background:lightcyan; text-align:left; width:100%"
| Operator
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