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MyWikiBiz, Author Your Legacy — Wednesday April 24, 2024
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<font face="courier new">
 
<font face="courier new">
 
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:center; width:96%"
 
{| align="center" border="1" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:center; width:96%"
|+ '''Table 15.  Tacit Extension of [''A''] to [''A'', d''A'']'''
+
|+ '''Table 15.  Tacit Extension of <math>[A]\!</math> to <math>[A, \operatorname{d}A]</math>'''
 
|
 
|
 
{| align="center" border="0" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:center; width:96%"
 
{| align="center" border="0" cellpadding="8" cellspacing="0" style="background:lightcyan; text-align:center; width:96%"
 
| &nbsp;
 
| &nbsp;
| 0
+
| <math>0\!</math>
| =
+
| <math>=\!</math>
| 0
+
| <math>0\!</math>
| &middot;
+
| <math>\cdot\!</math>
| ((d''A''),&nbsp;d''A'')
+
| <math>((\operatorname{d}A),\ \operatorname{d}A)\!</math>
| =
+
| <math>=\!</math>
| 0
+
| <math>0\!</math>
 
| &nbsp;
 
| &nbsp;
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| (''A'')
+
| <math>(A)\!</math>
| =
+
| <math>=\!</math>
| (''A'')
+
| <math>(A)\!</math>
| &middot;
+
| <math>\cdot\!</math>
| ((d''A''),&nbsp;d''A'')
+
| <math>((\operatorname{d}A),\ \operatorname{d}A)\!</math>
| =
+
| <math>=\!</math>
| (''A'')(d''A'') + (''A'') d''A''&nbsp;
+
| <math>(A)(\operatorname{d}A)\ +\ (A)\ \operatorname{d}A\!</math>
 
| &nbsp;
 
| &nbsp;
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| ''A''
+
| <math>A\!</math>
| =
+
| <math>=\!</math>
| ''A''
+
| <math>A\!</math>
| &middot;
+
| <math>\cdot\!</math>
| ((d''A''),&nbsp;d''A'')
+
| <math>((\operatorname{d}A),\ \operatorname{d}A)\!</math>
| =
+
| <math>=\!</math>
| &nbsp;''A'' (d''A'') + &nbsp;''A''&nbsp;&nbsp;d''A''&nbsp;
+
| <math>A\ (\operatorname{d}A)\ +\ A\ \operatorname{d}A\!</math>
 
| &nbsp;
 
| &nbsp;
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| 1
+
| <math>1\!</math>
| =
+
| <math>=\!</math>
| 1
+
| <math>1\!</math>
| &middot;
+
| <math>\cdot\!</math>
| ((d''A''),&nbsp;d''A'')
+
| <math>((\operatorname{d}A),\ \operatorname{d}A)\!</math>
| =
+
| <math>=\!</math>
| 1
+
| <math>1\!</math>
 
|}
 
|}
 
|}
 
|}
 
</font><br>
 
</font><br>
   −
In its effect on the singular propositions over ''X'', this analysis has an interesting interpretation.  The tacit extension takes us from thinking about a particular state, like ''A'' or (''A''), to considering the collection of outcomes, the outgoing changes or the singular dispositions, that spring from that state.
+
In its effect on the singular propositions over <math>X,\!</math> this analysis has an interesting interpretation.  The tacit extension takes us from thinking about a particular state, like <math>A\!</math> or <math>(A),\!</math> to considering the collection of outcomes, the outgoing changes or the singular dispositions, that spring from that state.
    
===Example 2.  Drives and Their Vicissitudes===
 
===Example 2.  Drives and Their Vicissitudes===
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