MyWikiBiz, Author Your Legacy — Tuesday December 16, 2025
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, 21:22, 13 July 2008
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| | </font><br> | | </font><br> |
| | | | |
| − | <font face="courier new">
| |
| | {| align="center" border="1" cellpadding="4" cellspacing="0" style="text-align:left; width:96%" | | {| align="center" border="1" cellpadding="4" cellspacing="0" style="text-align:left; width:96%" |
| | |+ '''Table 9. Higher Order Differential Features''' | | |+ '''Table 9. Higher Order Differential Features''' |
| | | width=50% | | | | width=50% | |
| − | {| cellpadding="4" | + | <math>\begin{array}{ccccccl} |
| − | | <font face="lucida calligraphy">A</font>
| + | \mathcal{A} |
| − | | =
| + | & = & |
| − | | d<sup>0</sup><font face="lucida calligraphy">A</font>
| + | \operatorname{d}^0 \mathcal{A} |
| − | | =
| + | & = & |
| − | | {''a''<sub>1</sub>,
| + | \{a_1, & \ldots, & a_n\} \\ |
| − | | …,
| + | \operatorname{d}\mathcal{A} |
| − | | ''a''<sub>''n''</sub>}
| + | & = & |
| − | |-
| + | \operatorname{d}^1 \mathcal{A} |
| − | | d<font face="lucida calligraphy">A</font>
| + | & = & |
| − | | =
| + | \{\operatorname{d}a_1, & \ldots, & \operatorname{d}a_n\} \\ |
| − | | d<sup>1</sup><font face="lucida calligraphy">A</font>
| + | & & |
| − | | =
| + | \operatorname{d}^k \mathcal{A} |
| − | | {d''a''<sub>1</sub>,
| + | & = & |
| − | | …,
| + | \{\operatorname{d}^k a_1, |
| − | | d''a''<sub>''n''</sub>}
| + | & \ldots, & |
| − | |-
| + | \operatorname{d}^k a_n\} \\ |
| − | |
| + | \operatorname{d}^* \mathcal{A} |
| − | |
| + | & = & |
| − | | d<sup>''k''</sup><font face="lucida calligraphy">A</font>
| + | \{\operatorname{d}^0 \mathcal{A}, |
| − | | =
| + | & \ldots, & |
| − | | {d<sup>''k''</sup>''a''<sub>''1''</sub>,
| + | \operatorname{d}^k \mathcal{A}, |
| − | | …,
| + | & \ldots \} |
| − | | d<sup>''k''</sup>''a''<sub>''n''</sub>}
| + | \end{array}</math> |
| − | |-
| |
| − | | d<sup>*</sup><font face="lucida calligraphy">A</font>
| |
| − | | =
| |
| − | | {d<sup>0</sup><font face="lucida calligraphy">A</font>,
| |
| − | | …,
| |
| − | | d<sup>''k''</sup><font face="lucida calligraphy">A</font>,
| |
| − | | …}
| |
| − | |}
| |
| | | width=50% | | | | width=50% | |
| | {| cellpadding="4" | | {| cellpadding="4" |