MyWikiBiz, Author Your Legacy — Tuesday October 28, 2025
Jump to navigationJump to search
774 bytes added
, 16:30, 17 April 2013
| Line 442: |
Line 442: |
| | | 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> |
| | |} | | |} |
| | | | |