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Directory talk:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives
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Revision as of 03:00, 7 May 2009
87 bytes added
,
03:00, 7 May 2009
→Commentary Note 12.5
Line 200:
Line 200:
\prod_{p \in X} (\mathfrak{S}^\mathfrak{L})_{xp}^{\mathfrak{W}_p} ~=~
\prod_{p \in X} (\mathfrak{S}^\mathfrak{L})_{xp}^{\mathfrak{W}_p} ~=~
\prod_{p \in X} (\prod_{q \in X} \mathfrak{S}_{xq}^{\mathfrak{L}_{qp}})^{\mathfrak{W}_p} ~=~
\prod_{p \in X} (\prod_{q \in X} \mathfrak{S}_{xq}^{\mathfrak{L}_{qp}})^{\mathfrak{W}_p} ~=~
−
\prod_{p \in X}
(
\prod_{q \in X} \mathfrak{S}_{xq}^{\mathfrak{L}_{qp}\mathfrak{W}_p}
)
+
\prod_{p \in X} \prod_{q \in X} \mathfrak{S}_{xq}^{\mathfrak{L}_{qp}\mathfrak{W}_p}
</math>
</math>
|}
|}
Line 209:
Line 209:
(\mathfrak{S}^{\mathfrak{L}\mathfrak{W}})_x ~=~
(\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}^{(\mathfrak{L}\mathfrak{W})_q} ~=~
−
\prod_{q \in X} \mathfrak{S}_{xq}^{\sum_{p \in X} \mathfrak{L}_{qp} \mathfrak{W}_p}
+
\prod_{q \in X} \mathfrak{S}_{xq}^{\sum_{p \in X}
\mathfrak{L}_{qp} \mathfrak{W}_p} ~=~
+
\prod_{q \in X} \prod_{p \in X} \mathfrak{S}_{xq}^{
\mathfrak{L}_{qp} \mathfrak{W}_p}
</math>
</math>
|}
|}
Jon Awbrey
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