MyWikiBiz, Author Your Legacy — Friday November 29, 2024
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, 20:26, 8 April 2009
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| ==Selection 10== | | ==Selection 10== |
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| + | ===The Signs for Multiplication (cont.)=== |
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| {| align="center" cellspacing="6" width="90%" <!--QUOTE--> | | {| align="center" cellspacing="6" width="90%" <!--QUOTE--> |
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− | <p>'''The Signs for Multiplication''' (cont.)<p> | + | <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>∞</sub> + 'x',<sub>∞</sub> may be considered as denoting some two 'x's.</p> | |
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| <p>It is natural to write:</p> | | <p>It is natural to write:</p> |
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− | : <p>'x' + 'x' = !2!.'x'</p>
| + | {| width="100%" |
− | | + | | width="10%" | |
− | <p>and</p> | + | | align="center" | <math>x + x ~=~ \mathit{2}.x</math> |
− | | + | | width="10%" | |
− | : <p>'x',<sub>∞</sub> + 'x',<sub>∞</sub> = !2!.'x',<sub>∞</sub></p>
| + | |- |
| + | | <p>and</p> |
| + | | align="center" | <math>x,_\infty + \, x,_\infty ~=~ \mathit{2}.x,_\infty</math> |
| + | | |
| + | |} |
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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> |