MyWikiBiz

Changes

User:Jon Awbrey/ATLAS (view source)

Revision as of 15:00, 25 August 2007

5,489 bytes added ,  15:00, 25 August 2007
add image stub
Line 5,385: Line 5,385:  
Figure 46-a.  Differential of J (Areal)
 
Figure 46-a.  Differential of J (Areal)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 46-b.  Differential of ''J''&nbsp;&nbsp;(Bundle)===
Line 5,454: Line 5,458:  
Figure 46-b.  Differential of J (Bundle)
 
Figure 46-b.  Differential of J (Bundle)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 46-c.  Differential of ''J''&nbsp;&nbsp;(Compact)===
Line 5,491: Line 5,499:  
Figure 46-c.  Differential of J (Compact)
 
Figure 46-c.  Differential of J (Compact)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 46-d.  Differential of ''J''&nbsp;&nbsp;(Digraph)===
Line 5,528: 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 5,631: Line 5,647:  
Figure 48-a.  Remainder of J (Areal)
 
Figure 48-a.  Remainder of J (Areal)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 48-b.  Remainder of ''J''&nbsp;&nbsp;(Bundle)===
Line 5,700: Line 5,720:  
Figure 48-b.  Remainder of J (Bundle)
 
Figure 48-b.  Remainder of J (Bundle)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 48-c.  Remainder of ''J''&nbsp;&nbsp;(Compact)===
Line 5,740: Line 5,764:  
Figure 48-c.  Remainder of J (Compact)
 
Figure 48-c.  Remainder of J (Compact)
 
</pre>
 
</pre>
 +
 +
<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)===
 
===Figure 48-d.  Remainder of ''J''&nbsp;&nbsp;(Digraph)===
Line 5,777: 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===
Line 6,378: Line 6,410:  
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 6,429: 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===
Line 7,131: Line 7,171:  
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 7,199: 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 7,267: 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 7,335: 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 7,435: 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 7,535: 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 7,635: 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 7,735: 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 7,805: 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 7,875: 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 7,945: 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 8,015: 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===
Line 9,052: Line 9,140:  
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)===
Line 9,103: Line 9,195:  
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===
Line 9,180: Line 9,276:  
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===
Line 10,349: Line 10,449:  
</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>
Line 10,415: Line 10,515:  
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===
Line 10,453: Line 10,557:  
</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>
Line 10,538: Line 10,642:  
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
12,080

edits

Retrieved from "https://mywikibiz.com/Special:MobileDiff/49744...50423"