Line 2,259: |
Line 2,259: |
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| ====Work Area==== | | ====Work Area==== |
| + | |
| + | <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> |
| + | |} |
| | | |
| <br> | | <br> |