Changes

Line 158: Line 158:  
|
 
|
 
<math>\begin{array}{lllll}
 
<math>\begin{array}{lllll}
^{\backprime\backprime}\operatorname{~}^{\prime\prime} &
+
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
\leftarrow &
+
& \leftarrow &
^{\backprime\backprime}\operatorname{blank}^{\prime\prime} &
+
^{\backprime\backprime}\operatorname{blank}^{\prime\prime}
= &
+
& = &
^{\backprime\backprime}\operatorname{b}^{\prime\prime} \cdot\,
+
^{\backprime\backprime}\operatorname{b}^{\prime\prime} \, \cdot \,
^{\backprime\backprime}\operatorname{l}^{\prime\prime} \cdot\,
+
^{\backprime\backprime}\operatorname{l}^{\prime\prime} \, \cdot \,
^{\backprime\backprime}\operatorname{a}^{\prime\prime} \cdot\,
+
^{\backprime\backprime}\operatorname{a}^{\prime\prime} \, \cdot \,
^{\backprime\backprime}\operatorname{n}^{\prime\prime} \cdot\,
+
^{\backprime\backprime}\operatorname{n}^{\prime\prime} \, \cdot \,
 
^{\backprime\backprime}\operatorname{k}^{\prime\prime} \\
 
^{\backprime\backprime}\operatorname{k}^{\prime\prime} \\
 
\end{array}</math>
 
\end{array}</math>
Line 186: Line 186:  
^{\backprime\backprime}\operatorname{~~}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{~~}^{\prime\prime}
 
& = &
 
& = &
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
+
^{\backprime\backprime}\operatorname{~}^{\prime\prime} \, \cdot \,
\cdot\,
   
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
 
& = &
 
& = &
\operatorname{blank}
+
\operatorname{blank} \, \cdot \, \operatorname{blank} \\
\cdot\,
  −
\operatorname{blank} \\
   
\\
 
\\
 
^{\backprime\backprime}\operatorname{~blank}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{~blank}^{\prime\prime}
 
& = &
 
& = &
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
+
^{\backprime\backprime}\operatorname{~}^{\prime\prime} \, \cdot \,
\cdot\,
   
^{\backprime\backprime}\operatorname{blank}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{blank}^{\prime\prime}
 
& = &
 
& = &
\operatorname{blank}
+
\operatorname{blank} \, \cdot\,
\cdot\,
   
^{\backprime\backprime}\operatorname{blank}^{\prime\prime} \\
 
^{\backprime\backprime}\operatorname{blank}^{\prime\prime} \\
 
\\
 
\\
 
^{\backprime\backprime}\operatorname{blank~}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{blank~}^{\prime\prime}
 
& = &
 
& = &
^{\backprime\backprime}\operatorname{blank}^{\prime\prime}
+
^{\backprime\backprime}\operatorname{blank}^{\prime\prime} \, \cdot \,
\cdot\,
   
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
 
^{\backprime\backprime}\operatorname{~}^{\prime\prime}
 
& = &
 
& = &
^{\backprime\backprime}\operatorname{blank}^{\prime\prime}
+
^{\backprime\backprime}\operatorname{blank}^{\prime\prime} \, \cdot \,
\cdot\,
   
\operatorname{blank}
 
\operatorname{blank}
 
\end{array}</math>
 
\end{array}</math>
Line 334: Line 327:  
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| The ''concatenation'' of the <math>k\!</math> strings <math>s_j, j = 1 \ldots k,\!</math> is the string of the form <math>s_1 \cdot \ldots \cdot s_k.\!</math>
+
| The ''concatenation'' of the <math>k\!</math> strings <math>(s_j)_{j = 1}^k</math> is the string of the form <math>s_1 \cdot \ldots \cdot s_k.\!</math>
 
|-
 
|-
 
| valign="top" | 2.
 
| valign="top" | 2.
| The ''surcatenation'' of one string <math>s_1\!</math> is the string <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot s_1 \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
+
| The ''surcatenation'' of one string <math>s_1\!</math> is the string <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot \, s_1 \, \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| The ''surcatenation'' of two strings <math>s_1, s_2\!</math> is <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot s_1 \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot s_2 \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
+
| The ''surcatenation'' of two strings <math>s_1, s_2\!</math> is <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot \, s_1 \, \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot \, s_2 \, \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
 
|-
 
|-
 
| &nbsp;
 
| &nbsp;
| The ''surcatenation'' of the <math>k\!</math> strings <math>s_j, j = 1 \ldots k,\!</math> is the string of the form <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot s_1 \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot \ldots \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot s_k \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
+
| The ''surcatenation'' of the <math>k\!</math> strings <math>(s_j)_{j = 1}^k</math> is the string of the form <math>^{\backprime\backprime} \, \operatorname{(} \, ^{\prime\prime} \, \cdot \, s_1 \, \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot \, \ldots \, \cdot \, ^{\backprime\backprime} \, \operatorname{,} \, ^{\prime\prime} \, \cdot \, s_k \, \cdot \, ^{\backprime\backprime} \, \operatorname{)} \, ^{\prime\prime}.</math>
 
|}
 
|}
  
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