MyWikiBiz, Author Your Legacy — Wednesday December 17, 2025
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224 bytes removed
, 22:00, 13 July 2008
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| | </font><br> | | </font><br> |
| | | | |
| − | {| align="center" border="1" cellpadding="4" cellspacing="0" style="text-align:left; width:96%" | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:96%" |
| | |+ '''Table 9. Higher Order Differential Features''' | | |+ '''Table 9. Higher Order Differential Features''' |
| | | width=50% | | | | width=50% | |
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| | \end{smallmatrix}</math> | | \end{smallmatrix}</math> |
| | | width=50% | | | | width=50% | |
| − | {| cellpadding="4" | + | <math>\begin{array}{lll} |
| − | | E<sup>0</sup><font face="lucida calligraphy">A</font>
| + | \operatorname{E}^0 \mathcal{A} & = & \operatorname{d}^0 \mathcal{A} \\ |
| − | | =
| + | \operatorname{E}^1 \mathcal{A} & = & \operatorname{d}^0 \mathcal{A}\ \cup\ \operatorname{d}^1 \mathcal{A} \\ |
| − | | d<sup>0</sup><font face="lucida calligraphy">A</font>
| + | \operatorname{E}^k \mathcal{A} & = & \operatorname{d}^0 \mathcal{A}\ \cup\ \ldots\ \cup\ \operatorname{d}^k \mathcal{A} \\ |
| − | |-
| + | \operatorname{E}^\infty \mathcal{A} & = & \bigcup\ \operatorname{d}^* \mathcal{A} \\ |
| − | | E<sup>1</sup><font face="lucida calligraphy">A</font>
| + | \end{array}</math> |
| − | | =
| + | |}<br> |
| − | | d<sup>0</sup><font face="lucida calligraphy">A</font> ∪ d<sup>1</sup><font face="lucida calligraphy">A</font>
| |
| − | |-
| |
| − | | E<sup>''k''</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>
| |
| − | |-
| |
| − | | E<sup>∞</sup><font face="lucida calligraphy">A</font>
| |
| − | | =
| |
| − | | ∪ d<sup>*</sup><font face="lucida calligraphy">A</font>
| |
| − | |} | |
| − | |}
| |
| − | </font><br>
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