12,080
edits
Changes
MyWikiBiz, Author Your Legacy — Thursday October 31, 2024
Jump to navigationJump to searchDirectory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)
Revision as of 21:40, 5 April 2009
, 21:40, 5 April 2009→Commentary Note 8.5
Here are the 2-adic relative terms again, followed by their representation as coefficient matrices, in this case bordered by row and column labels to remind us what the coefficient values are meant t|o signify.
Here are the 2-adic relative terms again, followed by their representation as coefficient matrices, in this case bordered by row and column labels to remind us what the coefficient values are meant t|o signify.
{| align="center" cellspacing="6" width="90%"
|
<math>\begin{array}{*{13}{c}}
\mathit{l}
& = & \mathrm{B}:\mathrm{C}
& +\!\!, & \mathrm{C}:\mathrm{B}
& +\!\!, & \mathrm{D}:\mathrm{O}
& +\!\!, & \mathrm{E}:\mathrm{I}
& +\!\!, & \mathrm{I}:\mathrm{E}
& +\!\!, & \mathrm{O}:\mathrm{D}
\end{array}</math>
|}
<pre>
{| align="center" cellspacing="6" width="90%"
|
---o---------------
<math>\begin{array}{c|ccccccc}
\mathit{l} &
\mathrm{B} &
\mathrm{C} &
\mathrm{D} &
\mathrm{E} &
\mathrm{I} &
\mathrm{J} &
</pre>
\mathrm{O}
\\
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---} &
\text{---}
\\
\mathrm{B} & 0 & 1 & 0 & 0 & 0 & 0 & 0
\\
\mathrm{C} & 1 & 0 & 0 & 0 & 0 & 0 & 0
\\
\mathrm{D} & 0 & 0 & 0 & 0 & 0 & 0 & 1
\\
\mathrm{E} & 0 & 0 & 0 & 0 & 1 & 0 & 0
\\
\mathrm{I} & 0 & 0 & 0 & 1 & 0 & 0 & 0
\\
\mathrm{J} & 0 & 0 & 0 & 0 & 0 & 0 & 0
\\
\mathrm{O} & 0 & 0 & 1 & 0 & 0 & 0 & 0
\end{array}</math>
|}
Here are the 2-adic relative terms again, followed by their representation as coefficient
: 's' = C:O +, E:D +, I:O +, J:D +, J:O =
: 's' = C:O +, E:D +, I:O +, J:D +, J:O =
