| Line 7,006: |
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| | <br> | | <br> |
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| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%" | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:75%" |
| − | |+ style="height:30px" | <math>\text{Table 72.1} ~~ \text{Sign Relation of Interpreter A}\!</math> | + | |+ style="height:30px" | <math>\text{Table 74.1} ~~ \text{Relation} ~ L_0 =\{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 0 \}\!</math> |
| | |- style="height:40px; background:#f0f0ff" | | |- style="height:40px; background:#f0f0ff" |
| − | | width="33%" | <math>\text{Object}\!</math> | + | | width="33%" | <math>x\!</math> |
| − | | width="33%" | <math>\text{Sign}\!</math> | + | | width="33%" | <math>y\!</math> |
| − | | width="33%" | <math>\text{Interpretant}\!</math> | + | | width="33%" | <math>z\!</math> |
| | |- | | |- |
| − | | valign="bottom" | | + | | valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math> |
| − | <math>\begin{matrix} | + | | valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math> |
| − | \text{A} | + | | valign="bottom" | <math>\begin{matrix}0\\1\\1\\0\end{matrix}</math> |
| − | \\ | |
| − | \text{A} | |
| − | \\ | |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math> | |
| − | | valign="bottom" | | |
| − | <math>\begin{matrix} | |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\ | |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 72.2} ~~ \text{Dyadic Projection} ~ L(\text{A})_{OS}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Object}\!</math>
| |
| − | | width="50%" | <math>\text{Sign}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\ | |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 72.3} ~~ \text{Dyadic Projection} ~ L(\text{A})_{OI}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Object}\!</math>
| |
| − | | width="50%" | <math>\text{Interpretant}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\ | |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 72.4} ~~ \text{Dyadic Projection} ~ L(\text{A})_{SI}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Sign}\!</math>
| |
| − | | width="50%" | <math>\text{Interpretant}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math> | |
| − | | valign="bottom" | | |
| − | <math>\begin{matrix} | |
| − | \text{B}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:80%"
| |
| − | |+ style="height:30px" | <math>\text{Table 73.1} ~~ \text{Sign Relation of Interpreter B}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="33%" | <math>\text{Object}\!</math>
| |
| − | | width="33%" | <math>\text{Sign}\!</math>
| |
| − | | width="33%" | <math>\text{Interpretant}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i} | |
| − | \end{matrix}</math> | |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 73.2} ~~ \text{Dyadic Projection} ~ L(\text{B})_{OS}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Object}\!</math>
| |
| − | | width="50%" | <math>\text{Sign}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i} | |
| − | \end{matrix}</math> | |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 73.3} ~~ \text{Dyadic Projection} ~ L(\text{B})_{OI}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Object}\!</math>
| |
| − | | width="50%" | <math>\text{Interpretant}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i} | |
| − | \end{matrix}</math> | |
| − | |}
| |
| − | | |
| − | <br>
| |
| − | | |
| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:50%"
| |
| − | |+ style="height:30px" | <math>\text{Table 73.4} ~~ \text{Dyadic Projection} ~ L(\text{B})_{SI}\!</math>
| |
| − | |- style="height:40px; background:#f0f0ff"
| |
| − | | width="50%" | <math>\text{Sign}\!</math>
| |
| − | | width="50%" | <math>\text{Interpretant}\!</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \\
| |
| − | \text{A}
| |
| − | \\
| |
| − | \text{u}
| |
| − | \end{matrix}</math>
| |
| − | |-
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math>
| |
| − | | valign="bottom" |
| |
| − | <math>\begin{matrix}
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \\
| |
| − | \text{B}
| |
| − | \\
| |
| − | \text{i}
| |
| − | \end{matrix}</math> | |
| | |} | | |} |
| | | | |
| Line 7,433: |
Line 7,061: |
| | 1 0 | | 1 0 |
| | </pre> | | </pre> |
| | + | |
| | + | <br> |
| | + | |
| | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:75%" |
| | + | |+ style="height:30px" | <math>\text{Table 75.1} ~~ \text{Relation} ~ L_1 =\{ (x, y, z) \in \mathbb{B}^3 : x + y + z = 1 \}\!</math> |
| | + | |- style="height:40px; background:#f0f0ff" |
| | + | | width="33%" | <math>x\!</math> |
| | + | | width="33%" | <math>y\!</math> |
| | + | | width="33%" | <math>z\!</math> |
| | + | |- |
| | + | | valign="bottom" | <math>\begin{matrix}0\\0\\1\\1\end{matrix}</math> |
| | + | | valign="bottom" | <math>\begin{matrix}0\\1\\0\\1\end{matrix}</math> |
| | + | | valign="bottom" | <math>\begin{matrix}1\\0\\0\\1\end{matrix}</math> |
| | + | |} |
| | | | |
| | <br> | | <br> |