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Directory talk:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 02:48, 7 May 2009
, 02:48, 7 May 2009→Commentary Note 12.5
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+
+
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
−| height="80" | <math>(\mathfrak{L}^\mathfrak{W})_x ~=~ \prod_{p \in X} \mathfrak{L}_{xp}^{\mathfrak{W}_p}</math>
+| height="80" |
+<math>
+(\mathfrak{L} \mathfrak{W})_x ~=~
+\sum_{p \in X} \mathfrak{L}_{xp} \mathfrak{W}_p
+</math>
+|}
+{| align="center" cellspacing="6" width="90%"
+| height="80" |
+<math>
+(\mathfrak{L} \mathfrak{W})_q ~=~
+\sum_{p \in X} \mathfrak{L}_{qp} \mathfrak{W}_p
+</math>
+|}
+{| align="center" cellspacing="6" width="90%"
+| height="80" |
+<math>(\mathfrak{L}^\mathfrak{W})_x ~=~
+\prod_{p \in X} \mathfrak{L}_{xp}^{\mathfrak{W}_p}
+</math>
|}
|}
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</math>
</math>
|}
|}
+
+{| align="center" cellspacing="6" width="90%"
+| height="80" |
+<math>
+(\mathfrak{S}^{\mathfrak{L}\mathfrak{W}})_x ~=~
+\prod_{q \in X} \mathfrak{S}_{xq}^{(\mathfrak{L}\mathfrak{W})_q} ~=~
+\prod_{q \in X} \mathfrak{S}_{xq}^{\sum_{p \in X} \mathfrak{L}_{qp} \mathfrak{W}_p}
+</math>
===Commentary on Selection 12 : Old Notes===
===Commentary on Selection 12 : Old Notes===