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MyWikiBiz, Author Your Legacy — Thursday November 07, 2024
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In the language of statistics, Peirce is saying this:  That if the population of Frenchmen is a ''fair sample'' of the general population with regard to dentition, then the morphic equation <math>[\mathit{t}\mathrm{f}] = [\mathit{t}][\mathrm{f}],\!</math> whose transpose gives <math>[\mathit{t}] = [\mathit{t}\mathrm{f}]/[\mathrm{f}],\!</math> is every bit as true as the defining equation in this circumstance, namely, <math>[\mathit{t}] = [\mathit{t}\mathrm{m}]/[\mathrm{m}].\!</math>
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In statistical terms, Peirce is saying this:  If the population of Frenchmen is a ''fair sample'' of the general population with regard to the factor of dentition, then the morphic equation:
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{| align="center" cellspacing="6" width="90%"
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| <math>[\mathit{t}\mathrm{f}] = [\mathit{t}][\mathrm{f}]\!</math>
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|}
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whose transpose gives:
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 +
{| align="center" cellspacing="6" width="90%"
 +
| <math>[\mathit{t}] = \frac{[\mathit{t}\mathrm{f}]}{[\mathrm{f}]}</math>
 +
|}
 +
 
 +
is every bit as true as the defining equation in this circumstance, namely:
 +
 
 +
{| align="center" cellspacing="6" width="90%"
 +
| <math>[\mathit{t}] = \frac{[\mathit{t}\mathrm{m}]}{[\mathrm{m}]}.</math>
 +
|}
    
===Commentary Note 11.21===
 
===Commentary Note 11.21===
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