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MyWikiBiz, Author Your Legacy — Monday November 25, 2024
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Line 6,376: Line 6,376:  
\\[4pt]
 
\\[4pt]
 
\operatorname{d}_\text{n} * \operatorname{d}_\text{m}
 
\operatorname{d}_\text{n} * \operatorname{d}_\text{m}
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\end{matrix}</math>
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|}
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<br>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
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|+ style="height:30px" |
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<math>\text{Table 71.3} ~~ \text{Cosets of} ~ G_\text{n} ~ \text{in} ~ G\!</math>
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|- style="background:#f0f0ff"
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| width="25%" | <math>\text{Group Coset}\!</math>
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| width="25%" | <math>\text{Logical Coset}\!</math>
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| width="25%" | <math>\text{Logical Element}\!</math>
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| width="25%" | <math>\text{Group Element}\!</math>
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|-
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| <math>G_\text{n}\!</math>
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| <math>(\operatorname{d}\text{n})\!</math>
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|
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<math>\begin{matrix}
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(\operatorname{d}\text{m})(\operatorname{d}\text{n})
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\\[4pt]
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~\operatorname{d}\text{m}~(\operatorname{d}\text{n})
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\end{matrix}</math>
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|
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<math>\begin{matrix}
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1
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\\[4pt]
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\operatorname{d}_\text{m}
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\end{matrix}</math>
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|-
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| <math>G_\text{n} * \operatorname{d}_\text{n}\!</math>
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| <math>\operatorname{d}\text{n}\!</math>
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|
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<math>\begin{matrix}
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(\operatorname{d}\text{m})~\operatorname{d}\text{n}~
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\\[4pt]
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~\operatorname{d}\text{m}~~\operatorname{d}\text{n}~
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\end{matrix}</math>
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|
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<math>\begin{matrix}
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\operatorname{d}_\text{n}
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\\[4pt]
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\operatorname{d}_\text{m} * \operatorname{d}_\text{n}
 
\end{matrix}</math>
 
\end{matrix}</math>
 
|}
 
|}
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