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Directory talk:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives
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Revision as of 02:48, 7 May 2009
606 bytes added
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02:48, 7 May 2009
→Commentary Note 12.5
Line 148:
Line 148:
{| 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>
|}
|}
Line 184:
Line 203:
</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===
Jon Awbrey
12,080
edits