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User:Jon Awbrey/ATLAS (view source)

Revision as of 15:00, 25 August 2007

9,787 bytes added ,  15:00, 25 August 2007
add image stub
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Figure 30.  Generic Frame of a Logical Transformation
 
Figure 30.  Generic Frame of a Logical Transformation
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
    
<br>
 
<br>
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Figure 31.  Operator Diagram (1)
 
Figure 31.  Operator Diagram (1)
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 31 -- Operator Diagram (1).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 31.  Operator Diagram (1)'''</font></center></p>
    
===Figure 32.  Operator Diagram (2)===
 
===Figure 32.  Operator Diagram (2)===
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Figure 32.  Operator Diagram (2)
 
Figure 32.  Operator Diagram (2)
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 32 -- Operator Diagram (2).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 32.  Operator Diagram (2)'''</font></center></p>
    
===Figure 33-i.  Analytic Diagram (1)===
 
===Figure 33-i.  Analytic Diagram (1)===
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Figure 33-i.  Analytic Diagram (1)
 
Figure 33-i.  Analytic Diagram (1)
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 33-i -- Analytic Diagram (1).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 33-i.  Analytic Diagram (1)'''</font></center></p>
    
===Figure 33-ii.  Analytic Diagram (2)===
 
===Figure 33-ii.  Analytic Diagram (2)===
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Figure 33-ii.  Analytic Diagram (2)
 
Figure 33-ii.  Analytic Diagram (2)
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 33-ii -- Analytic Diagram (2).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 33-ii.  Analytic Diagram (2)'''</font></center></p>
    
===Formula Display 4===
 
===Formula Display 4===
Line 4,078: Line 4,104:  
Figure 34.  Tangent Functor Diagram
 
Figure 34.  Tangent Functor Diagram
 
</pre>
 
</pre>
 +
 +
'''Note.'''  The following image was corrupted in transit between software platforms.
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 34 -- Tangent Functor Diagram.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 34.  Tangent Functor Diagram'''</font></center></p>
    
===Figure 35.  Conjunction as Transformation===
 
===Figure 35.  Conjunction as Transformation===
Line 4,133: Line 4,165:  
Figure 35.  Conjunction as Transformation
 
Figure 35.  Conjunction as Transformation
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 35 -- A Conjunction Viewed as a Transformation.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 35.  Conjunction as Transformation'''</font></center></p>
    
===Table 36.  Computation of !e!J===
 
===Table 36.  Computation of !e!J===
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</font><br>
 
</font><br>
   −
===Figure 37-a.  Tacit Extension of J (Areal)===
+
===Figure 37-a.  Tacit Extension of ''J''&nbsp;&nbsp;(Areal)===
    
<pre>
 
<pre>
Line 4,249: Line 4,285:  
</pre>
 
</pre>
   −
===Figure 37-b.  Tacit Extension of J (Bundle)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 37-a -- Tacit Extension of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 37-a.  Tacit Extension of ''J''&nbsp;&nbsp;(Areal)'''</font></center></p>
 +
 
 +
===Figure 37-b.  Tacit Extension of ''J''&nbsp;&nbsp;(Bundle)===
    
<pre>
 
<pre>
Line 4,318: Line 4,358:  
</pre>
 
</pre>
   −
===Figure 37-c.  Tacit Extension of J (Compact)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 37-b -- Tacit Extension of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 37-b.  Tacit Extension of ''J''&nbsp;&nbsp;(Bundle)'''</font></center></p>
 +
 
 +
===Figure 37-c.  Tacit Extension of ''J''&nbsp;&nbsp;(Compact)===
    
<pre>
 
<pre>
Line 4,358: Line 4,402:  
</pre>
 
</pre>
   −
===Figure 37-d.  Tacit Extension of J (Digraph)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 37-c -- Tacit Extension of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 37-c.  Tacit Extension of ''J''&nbsp;&nbsp;(Compact)'''</font></center></p>
 +
 
 +
===Figure 37-d.  Tacit Extension of ''J''&nbsp;&nbsp;(Digraph)===
    
<pre>
 
<pre>
Line 4,399: Line 4,447:  
Figure 37-d.  Tacit Extension of J (Digraph)
 
Figure 37-d.  Tacit Extension of J (Digraph)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 37-d -- Tacit Extension of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 37-d.  Tacit Extension of ''J''&nbsp;&nbsp;(Digraph)'''</font></center></p>
    
===Table 38.  Computation of EJ (Method 1)===
 
===Table 38.  Computation of EJ (Method 1)===
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</font><br>
 
</font><br>
   −
===Figure 40-a.  Enlargement of J (Areal)===
+
===Figure 40-a.  Enlargement of ''J''&nbsp;&nbsp;(Areal)===
    
<pre>
 
<pre>
Line 4,613: Line 4,665:  
</pre>
 
</pre>
   −
===Figure 40-b.  Enlargement of J (Bundle)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 40-a -- Enlargement of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 40-a.  Enlargement of ''J''&nbsp;&nbsp;(Areal)'''</font></center></p>
 +
 
 +
===Figure 40-b.  Enlargement of ''J''&nbsp;&nbsp;(Bundle)===
    
<pre>
 
<pre>
Line 4,682: Line 4,738:  
</pre>
 
</pre>
   −
===Figure 40-c.  Enlargement of J (Compact)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 40-b -- Enlargement of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 40-b.  Enlargement of ''J''&nbsp;&nbsp;(Bundle)'''</font></center></p>
 +
 
 +
===Figure 40-c.  Enlargement of ''J''&nbsp;&nbsp;(Compact)===
    
<pre>
 
<pre>
Line 4,722: Line 4,782:  
</pre>
 
</pre>
   −
===Figure 40-d.  Enlargement of J (Digraph)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 40-c -- Enlargement of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 40-c.  Enlargement of ''J''&nbsp;&nbsp;(Compact)'''</font></center></p>
 +
 
 +
===Figure 40-d.  Enlargement of ''J''&nbsp;&nbsp;(Digraph)===
    
<pre>
 
<pre>
Line 4,763: Line 4,827:  
Figure 40-d.  Enlargement of J (Digraph)
 
Figure 40-d.  Enlargement of J (Digraph)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 40-d -- Enlargement of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 40-d.  Enlargement of ''J''&nbsp;&nbsp;(Digraph)'''</font></center></p>
    
===Table 41.  Computation of DJ (Method 1)===
 
===Table 41.  Computation of DJ (Method 1)===
Line 5,030: Line 5,098:  
</font><br>
 
</font><br>
   −
===Figure 44-a.  Difference Map of J (Areal)===
+
===Figure 44-a.  Difference Map of ''J''&nbsp;&nbsp;(Areal)===
    
<pre>
 
<pre>
Line 5,073: Line 5,141:  
</pre>
 
</pre>
   −
===Figure 44-b.  Difference Map of J (Bundle)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 44-a -- Difference Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 44-a.  Difference Map of ''J''&nbsp;&nbsp;(Areal)'''</font></center></p>
 +
 
 +
===Figure 44-b.  Difference Map of ''J''&nbsp;&nbsp;(Bundle)===
    
<pre>
 
<pre>
Line 5,142: Line 5,214:  
</pre>
 
</pre>
   −
===Figure 44-c.  Difference Map of J (Compact)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 44-b -- Difference Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 44-b.  Difference Map of ''J''&nbsp;&nbsp;(Bundle)'''</font></center></p>
 +
 
 +
===Figure 44-c.  Difference Map of ''J''&nbsp;&nbsp;(Compact)===
    
<pre>
 
<pre>
Line 5,183: Line 5,259:  
</pre>
 
</pre>
   −
===Figure 44-d.  Difference Map of J (Digraph)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 44-c -- Difference Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 44-c.  Difference Map of ''J''&nbsp;&nbsp;(Compact)'''</font></center></p>
 +
 
 +
===Figure 44-d.  Difference Map of ''J''&nbsp;&nbsp;(Digraph)===
    
<pre>
 
<pre>
Line 5,221: Line 5,301:  
Figure 44-d.  Difference Map of J (Digraph)
 
Figure 44-d.  Difference Map of J (Digraph)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 44-d -- Difference Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 44-d.  Difference Map of ''J''&nbsp;&nbsp;(Digraph)'''</font></center></p>
    
===Table 45.  Computation of dJ===
 
===Table 45.  Computation of dJ===
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</font><br>
 
</font><br>
   −
===Figure 46-a.  Differential of J (Areal)===
+
===Figure 46-a.  Differential of ''J''&nbsp;&nbsp;(Areal)===
    
<pre>
 
<pre>
Line 5,302: Line 5,386:  
</pre>
 
</pre>
   −
===Figure 46-b.  Differential of J (Bundle)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 46-a -- Differential of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 46-a.  Differential of ''J''&nbsp;&nbsp;(Areal)'''</font></center></p>
 +
 
 +
===Figure 46-b.  Differential of ''J''&nbsp;&nbsp;(Bundle)===
    
<pre>
 
<pre>
Line 5,371: Line 5,459:  
</pre>
 
</pre>
   −
===Figure 46-c.  Differential of J (Compact)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 46-b -- Differential of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 46-b.  Differential of ''J''&nbsp;&nbsp;(Bundle)'''</font></center></p>
 +
 
 +
===Figure 46-c.  Differential of ''J''&nbsp;&nbsp;(Compact)===
    
<pre>
 
<pre>
Line 5,408: Line 5,500:  
</pre>
 
</pre>
   −
===Figure 46-d.  Differential of J (Digraph)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 46-c -- Differential of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 46-c.  Differential of ''J''&nbsp;&nbsp;(Compact)'''</font></center></p>
 +
 
 +
===Figure 46-d.  Differential of ''J''&nbsp;&nbsp;(Digraph)===
    
<pre>
 
<pre>
Line 5,444: Line 5,540:  
Figure 46-d.  Differential of J (Digraph)
 
Figure 46-d.  Differential of J (Digraph)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 46-d -- Differential of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 46-d.  Differential of ''J''&nbsp;&nbsp;(Digraph)'''</font></center></p>
    
===Table 47.  Computation of rJ===
 
===Table 47.  Computation of rJ===
Line 5,505: Line 5,605:  
</font><br>
 
</font><br>
   −
===Figure 48-a.  Remainder of J (Areal)===
+
===Figure 48-a.  Remainder of ''J''&nbsp;&nbsp;(Areal)===
    
<pre>
 
<pre>
Line 5,548: Line 5,648:  
</pre>
 
</pre>
   −
===Figure 48-b.  Remainder of J (Bundle)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 48-a -- Remainder of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 48-a.  Remainder of ''J''&nbsp;&nbsp;(Areal)'''</font></center></p>
 +
 
 +
===Figure 48-b.  Remainder of ''J''&nbsp;&nbsp;(Bundle)===
    
<pre>
 
<pre>
Line 5,617: Line 5,721:  
</pre>
 
</pre>
   −
===Figure 48-c.  Remainder of J (Compact)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 48-b -- Remainder of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 48-b.  Remainder of ''J''&nbsp;&nbsp;(Bundle)'''</font></center></p>
 +
 
 +
===Figure 48-c.  Remainder of ''J''&nbsp;&nbsp;(Compact)===
    
<pre>
 
<pre>
Line 5,657: Line 5,765:  
</pre>
 
</pre>
   −
===Figure 48-d.  Remainder of J (Digraph)===
+
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 48-c -- Remainder of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 48-c.  Remainder of ''J''&nbsp;&nbsp;(Compact)'''</font></center></p>
 +
 
 +
===Figure 48-d.  Remainder of ''J''&nbsp;&nbsp;(Digraph)===
    
<pre>
 
<pre>
Line 5,693: Line 5,805:  
Figure 48-d.  Remainder of J (Digraph)
 
Figure 48-d.  Remainder of J (Digraph)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 48-d -- Remainder of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 48-d.  Remainder of ''J''&nbsp;&nbsp;(Digraph)'''</font></center></p>
    
===Table 49.  Computation Summary for J===
 
===Table 49.  Computation Summary for J===
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Figure 52.  Decomposition of the Enlarged Conjunction EJ = (J, DJ)
 
Figure 52.  Decomposition of the Enlarged Conjunction EJ = (J, DJ)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 52 -- Decomposition of EJ.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 52.  Decomposition of E''J'''''</font></center></p>
    
===Figure 53.  Decomposition of the Differed Conjunction DJ = (dJ, ddJ)===
 
===Figure 53.  Decomposition of the Differed Conjunction DJ = (dJ, ddJ)===
Line 6,345: Line 6,465:  
Figure 53.  Decomposition of the Differed Conjunction DJ = (dJ, ddJ)
 
Figure 53.  Decomposition of the Differed Conjunction DJ = (dJ, ddJ)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 53 -- Decomposition of DJ.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 53.  Decomposition of D''J'''''</font></center></p>
    
===Table 54.  Cast of Characters:  Expansive Subtypes of Objects and Operators===
 
===Table 54.  Cast of Characters:  Expansive Subtypes of Objects and Operators===
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Figure 56-a1.  Radius Map of the Conjunction J = uv
 
Figure 56-a1.  Radius Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-a1 -- Radius Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-a1.  Radius Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-a2.  Secant Map of the Conjunction J = uv===
 
===Figure 56-a2.  Secant Map of the Conjunction J = uv===
Line 7,115: Line 7,243:  
Figure 56-a2.  Secant Map of the Conjunction J = uv
 
Figure 56-a2.  Secant Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-a2 -- Secant Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-a2.  Secant Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-a3.  Chord Map of the Conjunction J = uv===
 
===Figure 56-a3.  Chord Map of the Conjunction J = uv===
Line 7,183: Line 7,315:  
Figure 56-a3.  Chord Map of the Conjunction J = uv
 
Figure 56-a3.  Chord Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-a3 -- Chord Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-a3.  Chord Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-a4.  Tangent Map of the Conjunction J = uv===
 
===Figure 56-a4.  Tangent Map of the Conjunction J = uv===
Line 7,251: Line 7,387:  
Figure 56-a4.  Tangent Map of the Conjunction J = uv
 
Figure 56-a4.  Tangent Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-a4 -- Tangent Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-a4.  Tangent Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-b1.  Radius Map of the Conjunction J = uv===
 
===Figure 56-b1.  Radius Map of the Conjunction J = uv===
Line 7,351: Line 7,491:  
Figure 56-b1.  Radius Map of the Conjunction J = uv
 
Figure 56-b1.  Radius Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-b1 -- Radius Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-b1.  Radius Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-b2.  Secant Map of the Conjunction J = uv===
 
===Figure 56-b2.  Secant Map of the Conjunction J = uv===
Line 7,451: Line 7,595:  
Figure 56-b2.  Secant Map of the Conjunction J = uv
 
Figure 56-b2.  Secant Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-b2 -- Secant Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-b2.  Secant Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-b3.  Chord Map of the Conjunction J = uv===
 
===Figure 56-b3.  Chord Map of the Conjunction J = uv===
Line 7,551: Line 7,699:  
Figure 56-b3.  Chord Map of the Conjunction J = uv
 
Figure 56-b3.  Chord Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-b3 -- Chord Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-b3.  Chord Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 56-b4.  Tangent Map of the Conjunction J = uv===
 
===Figure 56-b4.  Tangent Map of the Conjunction J = uv===
Line 7,651: Line 7,803:  
Figure 56-b4.  Tangent Map of the Conjunction J = uv
 
Figure 56-b4.  Tangent Map of the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 56-b4 -- Tangent Map of J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 56-b4.  Tangent Map of the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 57-1.  Radius Operator Diagram for the Conjunction J = uv===
 
===Figure 57-1.  Radius Operator Diagram for the Conjunction J = uv===
Line 7,721: Line 7,877:  
Figure 57-1.  Radius Operator Diagram for the Conjunction J = uv
 
Figure 57-1.  Radius Operator Diagram for the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 57-1 -- Radius Operator Diagram for J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 57-1.  Radius Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 57-2.  Secant Operator Diagram for the Conjunction J = uv===
 
===Figure 57-2.  Secant Operator Diagram for the Conjunction J = uv===
Line 7,791: Line 7,951:  
Figure 57-2.  Secant Operator Diagram for the Conjunction J = uv
 
Figure 57-2.  Secant Operator Diagram for the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 57-2 -- Secant Operator Diagram for J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 57-2.  Secant Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 57-3.  Chord Operator Diagram for the Conjunction J = uv===
 
===Figure 57-3.  Chord Operator Diagram for the Conjunction J = uv===
Line 7,861: Line 8,025:  
Figure 57-3.  Chord Operator Diagram for the Conjunction J = uv
 
Figure 57-3.  Chord Operator Diagram for the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 57-3 -- Chord Operator Diagram for J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 57-3.  Chord Operator Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Figure 57-4.  Tangent Functor Diagram for the Conjunction J = uv===
 
===Figure 57-4.  Tangent Functor Diagram for the Conjunction J = uv===
Line 7,931: Line 8,099:  
Figure 57-4.  Tangent Functor Diagram for the Conjunction J = uv
 
Figure 57-4.  Tangent Functor Diagram for the Conjunction J = uv
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 57-4 -- Tangent Functor Diagram for J.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 57-4.  Tangent Functor Diagram for the Conjunction ''J'' = ''uv'''''</font></center></p>
    
===Formula Display 11===
 
===Formula Display 11===
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Figure 61.  Propositional Transformation
 
Figure 61.  Propositional Transformation
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 61 -- Propositional Transformation.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 61.  Propositional Transformation'''</font></center></p>
    
===Figure 62.  Propositional Transformation (Short Form)===
 
===Figure 62.  Propositional Transformation (Short Form)===
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Figure 62.  Propositional Transformation (Short Form)
 
Figure 62.  Propositional Transformation (Short Form)
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 62 -- Propositional Transformation (Short Form).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 62.  Propositional Transformation (Short Form)'''</font></center></p>
    
===Figure 63.  Transformation of Positions===
 
===Figure 63.  Transformation of Positions===
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Figure 63.  Transformation of Positions
 
Figure 63.  Transformation of Positions
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 63 -- Transformation of Positions.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 63.  Transformation of Positions'''</font></center></p>
    
===Table 64.  Transformation of Positions===
 
===Table 64.  Transformation of Positions===
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</font><br>
 
</font><br>
   −
===Figure 69.  Difference Map of F = ‹f, g› = ‹((u)(v)), ((u, v))›===
+
===Figure 69.  Difference Map of F = ‹f,&nbsp;g› = ‹((u)(v)),&nbsp;((u,&nbsp;v))›===
    
<pre>
 
<pre>
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Figure 69.  Difference Map of F = <f, g> = <((u)(v)), ((u, v))>
 
Figure 69.  Difference Map of F = <f, g> = <((u)(v)), ((u, v))>
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 69 -- Difference Map (Short Form).gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 69.  Difference Map of F = ‹f,&nbsp;g› = ‹((u)(v)),&nbsp;((u,&nbsp;v))›'''</font></center></p>
    
===Formula Display 19===
 
===Formula Display 19===
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</font><br>
 
</font><br>
   −
===Figure 70-a.  Tangent Functor Diagram for F‹u, v› = ‹((u)(v)), ((u, v))›===
+
===Figure 70-a.  Tangent Functor Diagram for F‹u,&nbsp;v› = ‹((u)(v)),&nbsp;((u,&nbsp;v))›===
    
<pre>
 
<pre>
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Figure 70-a.  Tangent Functor Diagram for F‹u, v› = <((u)(v)), ((u, v))>
 
Figure 70-a.  Tangent Functor Diagram for F‹u, v› = <((u)(v)), ((u, v))>
 
</pre>
 
</pre>
 +
 +
<br>
 +
<p>[[Image:Diff Log Dyn Sys -- Figure 70-a -- Tangent Functor Diagram.gif|center]]</p>
 +
<p><center><font size="+1">'''Figure 70-a.  Tangent Functor Diagram for F‹u,&nbsp;v› = ‹((u)(v)),&nbsp;((u,&nbsp;v))›'''</font></center></p>
    
===Figure 70-b.  Tangent Functor Ferris Wheel for F‹u, v› = ‹((u)(v)), ((u, v))›===
 
===Figure 70-b.  Tangent Functor Ferris Wheel for F‹u, v› = ‹((u)(v)), ((u, v))›===
Jon Awbrey
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