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, 16:30, 17 April 2013
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| | valign="bottom" | <math>=_\text{B}\!</math> | | | valign="bottom" | <math>=_\text{B}\!</math> |
| | <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}}\!</math> | | | <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}}\!</math> |
| + | |} |
| + | |
| + | Consequently, the semiotic equivalence relations for <math>\text{A}\!</math> and <math>\text{B}\!</math> both induce the same semiotic partition on <math>S,\!</math> namely, the following. |
| + | |
| + | {| align="center" cellspacing="6" width="90%" |
| + | | |
| + | <math> |
| + | \{ \{ |
| + | {}^{\backprime\backprime} \text{A} {}^{\prime\prime\text{A}}, |
| + | {}^{\backprime\backprime} \text{A} {}^{\prime\prime\text{B}}, |
| + | {}^{\backprime\backprime} \text{i} {}^{\prime\prime\text{A}}, |
| + | {}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{B}} |
| + | \}~,~\{ |
| + | {}^{\backprime\backprime} \text{B} {}^{\prime\prime\text{A}}, |
| + | {}^{\backprime\backprime} \text{B} {}^{\prime\prime\text{B}}, |
| + | {}^{\backprime\backprime} \text{i} {}^{\prime\prime\text{B}}, |
| + | {}^{\backprime\backprime} \text{u} {}^{\prime\prime\text{A}} |
| + | \} \}.\! |
| + | </math> |
| |} | | |} |
| | | |