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Revision as of 04:00, 24 April 2009
, 04:00, 24 April 2009→Commentary Note 11.11
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−<pre>+o---------o---------o---------o---------o+o=========o=========o=========o=========o+o---------o---------o---------o---------o+o---------o---------o---------o---------o+o---------o---------o---------o---------o+
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| P o Q |
| P o Q |
−| ____________^____________ |
+| ____________O____________ |
| / \ |
| / \ |
| / P Q \ |
| / P Q \ |
−| / @ @ \ |
+| / O O \ |
| / / \ / \ \ |
| / / \ / \ \ |
| / / \ / \ \ |
| / / \ / \ \ |
| o o o o o o |
| o o o o o o |
| X X Y Y Z Z |
| X X Y Y Z Z |
−| 1,__# #'p'__$ $'q'__% %1 |
+| 1,__! !'p'__@ @'q'__# #1 |
| o o o o o o |
| o o o o o o |
| \ / \ / \ / |
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| !1! !1! !1! |
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| P P o Q Q |
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+| O O O |
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All of the relevant information of these Figures can be compressed into the form of a spreadsheet, or constraint satisfaction table:
All of the relevant information of these Figures can be compressed into the form of a spreadsheet, or constraint satisfaction table:
−{| align="center" cellspacing="6" width="90%"
+<br>
−{| align="center" cellpadding="10" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black; text-align:center; width:60%"
−Table 18. Relational Composition P o Q
+|+ '''Table 18. Relational Composition P o Q'''
−|-
−| # !1! | !1! | !1! |
+| style="border-right:1px solid black; border-bottom:1px solid black; width:25%" |
−| style="border-bottom:1px solid black; width:25%" | <math>\mathit{1}\!</math>
−| P # X | Y | |
+| style="border-bottom:1px solid black; width:25%" | <math>\mathit{1}\!</math>
−| style="border-bottom:1px solid black; width:25%" | <math>\mathit{1}\!</math>
−| Q # | Y | Z |
+|-
−| style="border-right:1px solid black" | <math>P\!</math>
−| P o Q # X | | Z |
+| <math>X\!</math>
−| <math>Y\!</math>
−</pre>
+|
+|-
+| style="border-right:1px solid black" | <math>Q\!</math>
+|
+| <math>Y\!</math>
+| <math>Z\!</math>
+|-
+| style="border-right:1px solid black" | <math>P \circ Q</math>
+| <math>X\!</math>
+|
+| <math>Z\!</math>
|}
|}
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+<br>
So the following presents itself as a reasonable plan of study: Let's see how much easy mileage we can get in our exploration of functions by adopting the above templates as a paradigm.
So the following presents itself as a reasonable plan of study: Let's see how much easy mileage we can get in our exploration of functions by adopting the above templates as a paradigm.
