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|  | ====Work Area==== |  | ====Work Area==== | 
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|  | + | <br> | 
|  | + |  | 
|  | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; text-align:center; width:90%" | 
|  | + | |+ <math>\text{Table A3.}~~\operatorname{E}f ~\text{Expanded Over Differential Features}~ \{ \operatorname{d}x, \operatorname{d}y \}</math> | 
|  | + | |- style="background:#f0f0ff" | 
|  | + | | width="10%" |   | 
|  | + | | width="18%" | <math>f\!</math> | 
|  | + | | width="18%" |  | 
|  | + | <p><math>\operatorname{T}_{11} f</math></p> | 
|  | + | <p><math>\operatorname{E}f|_{\operatorname{d}x~\operatorname{d}y}</math></p> | 
|  | + | | width="18%" | | 
|  | + | <p><math>\operatorname{T}_{10} f</math></p> | 
|  | + | <p><math>\operatorname{E}f|_{\operatorname{d}x(\operatorname{d}y)}</math></p> | 
|  | + | | width="18%" | | 
|  | + | <p><math>\operatorname{T}_{01} f</math></p> | 
|  | + | <p><math>\operatorname{E}f|_{(\operatorname{d}x)\operatorname{d}y}</math></p> | 
|  | + | | width="18%" | | 
|  | + | <p><math>\operatorname{T}_{00} f</math></p> | 
|  | + | <p><math>\operatorname{E}f|_{(\operatorname{d}x)(\operatorname{d}y)}</math></p> | 
|  | + | |- | 
|  | + | | <math>f_0\!</math> | 
|  | + | | <math>(~)</math> | 
|  | + | | <math>(~)</math> | 
|  | + | | <math>(~)</math> | 
|  | + | | <math>(~)</math> | 
|  | + | | <math>(~)</math> | 
|  | + | |- | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | f_1 | 
|  | + | \\[4pt] | 
|  | + | f_2 | 
|  | + | \\[4pt] | 
|  | + | f_4 | 
|  | + | \\[4pt] | 
|  | + | f_8 | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x)(y) | 
|  | + | \\[4pt] | 
|  | + | (x)~y~ | 
|  | + | \\[4pt] | 
|  | + | ~x~(y) | 
|  | + | \\[4pt] | 
|  | + | ~x~~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~x~~y~ | 
|  | + | \\[4pt] | 
|  | + | ~x~(y) | 
|  | + | \\[4pt] | 
|  | + | (x)~y~ | 
|  | + | \\[4pt] | 
|  | + | (x)(y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~x~(y) | 
|  | + | \\[4pt] | 
|  | + | ~x~~y~ | 
|  | + | \\[4pt] | 
|  | + | (x)(y) | 
|  | + | \\[4pt] | 
|  | + | (x)~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x)~y~ | 
|  | + | \\[4pt] | 
|  | + | (x)(y) | 
|  | + | \\[4pt] | 
|  | + | ~x~~y~ | 
|  | + | \\[4pt] | 
|  | + | ~x~(y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x)(y) | 
|  | + | \\[4pt] | 
|  | + | (x)~y~ | 
|  | + | \\[4pt] | 
|  | + | ~x~(y) | 
|  | + | \\[4pt] | 
|  | + | ~x~~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | f_3 | 
|  | + | \\[4pt] | 
|  | + | f_{12} | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x) | 
|  | + | \\[4pt] | 
|  | + | ~x~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~x~ | 
|  | + | \\[4pt] | 
|  | + | (x) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~x~ | 
|  | + | \\[4pt] | 
|  | + | (x) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x) | 
|  | + | \\[4pt] | 
|  | + | ~x~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (x) | 
|  | + | \\[4pt] | 
|  | + | ~x~ | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | f_6 | 
|  | + | \\[4pt] | 
|  | + | f_9 | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x,~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x,~y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x,~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x,~y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((x,~y)) | 
|  | + | \\[4pt] | 
|  | + | ~(x,~y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((x,~y)) | 
|  | + | \\[4pt] | 
|  | + | ~(x,~y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x,~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x,~y)) | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | f_5 | 
|  | + | \\[4pt] | 
|  | + | f_{10} | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (y) | 
|  | + | \\[4pt] | 
|  | + | ~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~y~ | 
|  | + | \\[4pt] | 
|  | + | (y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (y) | 
|  | + | \\[4pt] | 
|  | + | ~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~y~ | 
|  | + | \\[4pt] | 
|  | + | (y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (y) | 
|  | + | \\[4pt] | 
|  | + | ~y~ | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | f_7 | 
|  | + | \\[4pt] | 
|  | + | f_{11} | 
|  | + | \\[4pt] | 
|  | + | f_{13} | 
|  | + | \\[4pt] | 
|  | + | f_{14} | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x~~y)~ | 
|  | + | \\[4pt] | 
|  | + | ~(x~(y)) | 
|  | + | \\[4pt] | 
|  | + | ((x)~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x)(y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((x)(y)) | 
|  | + | \\[4pt] | 
|  | + | ((x)~y)~ | 
|  | + | \\[4pt] | 
|  | + | ~(x~(y)) | 
|  | + | \\[4pt] | 
|  | + | ~(x~~y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((x)~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x)(y)) | 
|  | + | \\[4pt] | 
|  | + | ~(x~~y)~ | 
|  | + | \\[4pt] | 
|  | + | ~(x~(y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x~(y)) | 
|  | + | \\[4pt] | 
|  | + | ~(x~~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x)(y)) | 
|  | + | \\[4pt] | 
|  | + | ((x)~y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(x~~y)~ | 
|  | + | \\[4pt] | 
|  | + | ~(x~(y)) | 
|  | + | \\[4pt] | 
|  | + | ((x)~y)~ | 
|  | + | \\[4pt] | 
|  | + | ((x)(y)) | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | <math>f_{15}\!</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | |- style="background:#f0f0ff" | 
|  | + | | colspan="2" | <math>\text{Fixed Point Total}\!</math> | 
|  | + | | <math>4\!</math> | 
|  | + | | <math>4\!</math> | 
|  | + | | <math>4\!</math> | 
|  | + | | <math>16\!</math> | 
|  | + | |} | 
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|  | <br> |  | <br> |