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MyWikiBiz, Author Your Legacy — Saturday September 28, 2024
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==Selection 10==
 
==Selection 10==
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===The Signs for Multiplication (cont.)===
    
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
 
{| align="center" cellspacing="6" width="90%" <!--QUOTE-->
 
|
 
|
<p>'''The Signs for Multiplication''' (cont.)<p>
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<p>The sum <math>x + x\!</math> generally denotes no logical term.  But <math>x,_\infty + \, x,_\infty</math> may be considered as denoting some two <math>x\!</math>'s.</p>
 
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<p>The sum 'x' + 'x' generally denotes no logical term.  But 'x',<sub>&infin;</sub> + 'x',<sub>&infin;</sub> may be considered as denoting some two 'x's.</p>
      
<p>It is natural to write:</p>
 
<p>It is natural to write:</p>
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: <p>'x' + 'x' = !2!.'x'</p>
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{| width="100%"
 
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| width="10%" | &nbsp;
<p>and</p>
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| align="center" | <math>x + x ~=~ \mathit{2}.x</math>
 
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| width="10%" | &nbsp;
: <p>'x',<sub>&infin;</sub> + 'x',<sub>&infin;</sub> = !2!.'x',<sub>&infin;</sub></p>
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|-
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| <p>and</p>
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| align="center" | <math>x,_\infty + \, x,_\infty ~=~ \mathit{2}.x,_\infty</math>
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| &nbsp;
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|}
    
<p>where the dot shows that this multiplication is invertible.</p>
 
<p>where the dot shows that this multiplication is invertible.</p>
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