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MyWikiBiz, Author Your Legacy — Tuesday April 15, 2025
Jump to navigationJump to search→Table 58. Cast of Characters: Expansive Subtypes of Objects and Operators
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<pre>
−-------------o
−| W | W : | Operator | |
−| | U% -> EU%, | | [B^n] -> [B^n x D^n], |
−| | X% -> EX%, | | [B^k] -> [B^k x D^k], |
−| | (U%->X%)->(EU%->EX%), | | ([B^n] -> [B^k]) |
−| | for each W among: | | -> |
−| | !e!, !h!, E, D, d | | ([B^n x D^n]->[B^k x D^k]) |
−-------------o
−| !e! | | Tacit Extension Operator !e!
−| !h! | | Trope Extension Operator !h!
−| E | | Enlargement Operator E
−| D | | Difference Operator D
−| d | | Differential Operator d
−-------------o
−| $W$ | $W$ : | Operator | |
−| | U% -> $T$U% = EU%, | | [B^n] -> [B^n x D^n], |
−| | X% -> $T$X% = EX%, | | [B^k] -> [B^k x D^k], |
−| | (U%->X%)->($T$U%->$T$X%)| | ([B^n] -> [B^k]) |
−| | for each $W$ among: | | -> |
−| | $e$, $E$, $D$, $T$ | | ([B^n x D^n]->[B^k x D^k]) |
−-------------o
−| $e$ | | Radius Operator $e$ = <!e!, !h!> |
−| $E$ | | Secant Operator $E$ = <!e!, E > |
−| $D$ | | Chord Operator $D$ = <!e!, D > |
−| $T$ | | Tangent Functor $T$ = <!e!, d > |
−-------------o
−</pre>
|
|
|-
|-
−| ['''B'''<sup>2</sup>] → ['''B'''<sup>2</sup> × '''D'''<sup>2</sup>] ,
+| ['''B'''<sup>''n''</sup>] → ['''B'''<sup>''n''</sup> × '''D'''<sup>''n''</sup>] ,
|-
|-
−| ['''B'''<sup>1</sup>] → ['''B'''<sup>1</sup> × '''D'''<sup>1</sup>] ,
+| ['''B'''<sup>''k''</sup>] → ['''B'''<sup>''k''</sup> × '''D'''<sup>''k''</sup>] ,
|-
|-
−| (['''B'''<sup>2</sup>] → ['''B'''<sup>1</sup>])
+| (['''B'''<sup>''n''</sup>] → ['''B'''<sup>''k''</sup>])
|-
|-
| →
| →
|-
|-
−| (['''B'''<sup>2</sup> × '''D'''<sup>2</sup>] → ['''B'''<sup>1</sup> × '''D'''<sup>1</sup>])
+| (['''B'''<sup>''n''</sup> × '''D'''<sup>''n''</sup>] → ['''B'''<sup>''k''</sup> × '''D'''<sup>''k''</sup>])
|-
|-
|
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|}<br>
|}<br>
−===Table 59. Synopsis of Terminology: Restrictive and Alternative Subtypes===
===Table 59. Synopsis of Terminology: Restrictive and Alternative Subtypes===
