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MyWikiBiz, Author Your Legacy — Thursday May 30, 2024
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113 bytes removed ,  16:06, 23 June 2007
Line 6,441: Line 6,441:  
| ''X''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;<font face=georgia>'''T'''</font>''X''<sup>&nbsp;&bull;</sup>&nbsp;=&nbsp;E''X''<sup>&nbsp;&bull;</sup>&nbsp;,
 
| ''X''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;<font face=georgia>'''T'''</font>''X''<sup>&nbsp;&bull;</sup>&nbsp;=&nbsp;E''X''<sup>&nbsp;&bull;</sup>&nbsp;,
 
|-
 
|-
| (''U''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;''X''<sup>&nbsp;&bull;</sup>)&nbsp;&rarr;&nbsp;(<font face=georgia>'''T'''</font>''U''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;<font face=georgia>'''T'''</font>''X''<sup>&nbsp;&bull;</sup>)&nbsp;,
+
| (''U''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;''X''<sup>&nbsp;&bull;</sup>)
 +
|-
 +
| &rarr;
 +
|-
 +
| (<font face=georgia>'''T'''</font>''U''<sup>&nbsp;&bull;</sup>&nbsp;&rarr;&nbsp;<font face=georgia>'''T'''</font>''X''<sup>&nbsp;&bull;</sup>)&nbsp;,
 
|-
 
|-
 
| for each <font face=georgia>'''W'''</font> in the set:
 
| for each <font face=georgia>'''W'''</font> in the set:
Line 6,455: Line 6,459:  
| &nbsp;
 
| &nbsp;
 
|-
 
|-
| &nbsp;
+
| ['''B'''<sup>2</sup>] &rarr; ['''B'''<sup>2</sup> &times; '''D'''<sup>2</sup>],
 +
|-
 +
| ['''B'''<sup>1</sup>] &rarr; ['''B'''<sup>1</sup> &times; '''D'''<sup>1</sup>],
 +
|-
 +
| (['''B'''<sup>2</sup>] &rarr; ['''B'''<sup>1</sup>])
 +
|-
 +
| &rarr;
 
|-
 
|-
| &nbsp;
+
| (['''B'''<sup>2</sup> &times; '''D'''<sup>2</sup>] &rarr; ['''B'''<sup>1</sup> &times; '''D'''<sup>1</sup>])
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
Line 6,522: Line 6,532:     
<pre>
 
<pre>
| $W$  | $W$ :                  | Operator
  −
  −
|      | U% -> $T$U% = EU%,      |                  | [B^2] -> [B^2 x D^2],
  −
  −
|      | X% -> $T$X% = EX%,      |                  | [B^1] -> [B^1 x D^1],
  −
  −
|      | (U%->X%)->($T$U%->$T$X%)|                  | ([B^2] -> [B^1])
  −
  −
|      | for each $W$ among:    |                  | ->
  −
  −
|      | $e$, $E$, $D$, $T$      |                  | ([B^2 x D^2]->[B^1 x D^1])
  −
  −
-------------o
  −
   
| $e$  || Radius Operator    $e$ = <!e!, !h!>
 
| $e$  || Radius Operator    $e$ = <!e!, !h!>
 
| $E$  || Secant Operator    $E$ = <!e!,  E >
 
| $E$  || Secant Operator    $E$ = <!e!,  E >
 
| $D$  || Chord Operator    $D$ = <!e!,  D >
 
| $D$  || Chord Operator    $D$ = <!e!,  D >
 
| $T$  || Tangent Functor    $T$ = <!e!,  d >
 
| $T$  || Tangent Functor    $T$ = <!e!,  d >
  −
-------------o
   
</pre>
 
</pre>
  
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