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Directory talk:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
Revision as of 13:45, 17 April 2013
, 13:45, 17 April 2013→Set Displays
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In these terms, the SER for interpreter <math>\text{A}\!</math> yields the semiotic equations:
{| cellpadding="10"
| width="10%" |
| <math>[{}^{\backprime\backprime} \text{A} {}^{\prime\prime}]_\text{A}\!</math>
| <math>=\!</math>
| <math>[{}^{\backprime\backprime} \text{i} {}^{\prime\prime}]_\text{A}\!</math>
| width="20%" |
| <math>[{}^{\backprime\backprime} \text{B} {}^{\prime\prime}]_\text{A}\!</math>
| <math>=\!</math>
| <math>[{}^{\backprime\backprime} \text{u} {}^{\prime\prime}]_\text{A}\!</math>
|-
| width="10%" | or
| <math>{}^{\backprime\backprime} \text{A} {}^{\prime\prime}\!</math>
| <math>=_\text{A}\!</math>
| <math>{}^{\backprime\backprime} \text{i} {}^{\prime\prime}\!</math>
| width="20%" |
| <math>{}^{\backprime\backprime} \text{B} {}^{\prime\prime}\!</math>
| <math>=_\text{A}\!</math>
| <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime}\!</math>
|}
and the semiotic partition: <math>\{ \{ {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime} \} , \{ {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime} \} \}\!</math>.
In contrast, the SER for interpreter <math>\text{B}\!</math> yields the semiotic equations:
{| cellpadding="10"
| width="10%" |
| <math>[{}^{\backprime\backprime} \text{A} {}^{\prime\prime}]_\text{B}\!</math>
| <math>=\!</math>
| <math>[{}^{\backprime\backprime} \text{u} {}^{\prime\prime}]_\text{B}\!</math>
| width="20%" |
| <math>[{}^{\backprime\backprime} \text{B} {}^{\prime\prime}]_\text{B}\!</math>
| <math>=\!</math>
| <math>[{}^{\backprime\backprime} \text{i} {}^{\prime\prime}]_\text{B}\!</math>
|-
| width="10%" | or
| <math>{}^{\backprime\backprime} \text{A} {}^{\prime\prime}\!</math>
| <math>=_\text{B}\!</math>
| <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime}\!</math>
| width="20%" |
| <math>{}^{\backprime\backprime} \text{B} {}^{\prime\prime}\!</math>
| <math>=_\text{B}\!</math>
| <math>{}^{\backprime\backprime} \text{i} {}^{\prime\prime}\!</math>
|}
and the semiotic partition: <math>\{ \{ {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime} \} , \{ {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime} \} \}\!</math>.
==Relations In General==
==Relations In General==