MyWikiBiz, Author Your Legacy — Thursday December 04, 2025
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, 21:24, 15 April 2009
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| | Thus, where the ''image'' <math>J\!</math> is the logarithm map, the ''compound'' <math>K\!</math> is the numerical sum, and the the ''ligature'' <math>L\!</math> is the numerical product, one obtains the immemorial mnemonic motto: | | Thus, where the ''image'' <math>J\!</math> is the logarithm map, the ''compound'' <math>K\!</math> is the numerical sum, and the the ''ligature'' <math>L\!</math> is the numerical product, one obtains the immemorial mnemonic motto: |
| | | | |
| − | : The image of the product is the sum of the images.
| + | {| align="center" cellspacing="6" width="90%" |
| − | | + | | |
| − | : ''J''(''u'' <math>\cdot</math> ''v'') = ''J''(''u'') + ''J''(''v'')
| + | <p>The image of the product is the sum of the images.</p> |
| − | | + | |- |
| − | : ''J''(''L''(''u'', ''v'')) = ''K''(''Ju'', ''Jv'')
| + | | |
| | + | <math>\begin{array}{lll} |
| | + | J(u \cdot v) & = & J(u) + J(v) |
| | + | \\[12pt] |
| | + | J(L(u, v)) & = & K(Ju, Jv) |
| | + | \end{array}</math> |
| | + | |} |
| | | | |
| | ===Commentary Note 11.15=== | | ===Commentary Note 11.15=== |