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Directory:Jon Awbrey/Papers/Peirce's 1870 Logic Of Relatives (view source)

Revision as of 21:58, 5 April 2009

559 bytes added ,  21:58, 5 April 2009
→‎Commentary Note 8.5
Line 1,340: Line 1,340:  
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Here are the 2-adic relative terms again, followed by their representation as coefficient
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{| align="center" cellspacing="6" width="90%"
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|
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<math>\begin{array}{*{13}{c}}
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\mathit{s}
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& =      & \mathrm{C}:\mathrm{O}
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& +\!\!, & \mathrm{E}:\mathrm{D}
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& +\!\!, & \mathrm{I}:\mathrm{O}
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& +\!\!, & \mathrm{J}:\mathrm{D}
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& +\!\!, & \mathrm{J}:\mathrm{O}
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\end{array}</math>
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|}
   −
: 's' = C:O +, E:D +, I:O +, J:D +, J:O =
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{| align="center" cellspacing="6" width="90%"
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|
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<pre>
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<math>\begin{array}{c|ccccccc}
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's'| B C D E I J O
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\mathit{s} &
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---o---------------
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\mathrm{B} &
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B | 0 0 0 0 0 0 0
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\mathrm{C} &
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C | 0 0 0 0 0 0 1
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\mathrm{D} &
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D | 0 0 0 0 0 0 0
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\mathrm{E} &
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E | 0 0 1 0 0 0 0
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\mathrm{I} &
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I | 0 0 0 0 0 0 1
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\mathrm{J} &
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J | 0 0 1 0 0 0 1
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\mathrm{O}
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O | 0 0 0 0 0 0 0
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\\
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</pre>
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\text{---} &
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\text{---} &
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\text{---} &
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\text{---} &
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\text{---} &
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\text{---} &
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\text{---} &
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\text{---}
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\\
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\mathrm{B} & 0 & 0 & 0 & 0 & 0 & 0 & 0
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\\
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\mathrm{C} & 0 & 0 & 0 & 0 & 0 & 0 & 1
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\\
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\mathrm{D} & 0 & 0 & 0 & 0 & 0 & 0 & 0
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\\
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\mathrm{E} & 0 & 0 & 1 & 0 & 0 & 0 & 0
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\\
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\mathrm{I} & 0 & 0 & 0 & 0 & 0 & 0 & 1
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\\
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\mathrm{J} & 0 & 0 & 1 & 0 & 0 & 0 & 1
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\\
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\mathrm{O} & 0 & 0 & 1 & 0 & 0 & 0 & 0
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\end{array}</math>
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|}
    
Here are the matrix representations of the products that we calculated before:
 
Here are the matrix representations of the products that we calculated before:
Jon Awbrey
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