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Directory talk:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives
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Revision as of 21:40, 6 May 2009
531 bytes added
,
21:40, 6 May 2009
→Commentary Note 12.5
Line 148:
Line 148:
{| align="center" cellspacing="6" width="90%"
{| align="center" cellspacing="6" width="90%"
−
| height="
60
" | <math>((\mathfrak{S}^\mathfrak{L})^\mathfrak{
W
})
_
{
uv
} ~=~ (\mathfrak{S}^{\mathfrak{L}\mathfrak{W}})_{
uv
}</math>
+
| height="
100
" | <math>(
\mathfrak{L}^\mathfrak{W})_u ~=~ \prod_{x \in X} \mathfrak{L}_{ux}^{\mathfrak{W}_x}</math>
+
|}
+
+
{| align="center" cellspacing="6" width="90%"
+
| height="100" |
+
<math>
+
(\mathfrak{S}^\mathfrak{L})
_{uv} ~=~
+
\prod_{x \in X} \mathfrak{S}_{ux}^{\mathfrak{L}_{xv}}
+
</math>
+
|}
+
+
{| align="center" cellspacing="6" width="90%"
+
| height="100" |
+
<math>
+
((\mathfrak{S}
^\mathfrak{
L
})
^\mathfrak
{
W
}
)_u
~=~
+
(\mathfrak{S}^{\mathfrak{L}\mathfrak{W}
})_u
+
</math>
+
|}
+
+
{| align="center" cellspacing="6" width="90%"
+
| height="100" |
+
<math>
+
(\mathfrak{S}^\mathfrak{L})^\mathfrak{W})_u ~=~
+
\prod_{x \in X} (\mathfrak{S}^\mathfrak{L
})_{
ux}^{\mathfrak{W}_x
}
+
</math>
|}
|}
Jon Awbrey
12,089
edits