| Line 2,518: | Line 2,518: | 
|  | | <math>(~)</math> |  | | <math>(~)</math> | 
|  | | <math>(~)</math> |  | | <math>(~)</math> | 
|  | + | |} | 
|  | + |  | 
|  | + | <br> | 
|  | + |  | 
|  | + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="background:#f8f8ff; text-align:center; width:90%" | 
|  | + | |+ <math>\text{Table A5.}~~\operatorname{E}f ~\text{Expanded Over Ordinary Features}~ \{ x, y \}</math> | 
|  | + | |- style="background:#f0f0ff" | 
|  | + | | width="10%" |   | 
|  | + | | width="18%" | <math>f\!</math> | 
|  | + | | width="18%" | <math>\operatorname{E}f|_{xy}</math> | 
|  | + | | width="18%" | <math>\operatorname{E}f|_{x(y)}</math> | 
|  | + | | width="18%" | <math>\operatorname{E}f|_{(x)y}</math> | 
|  | + | | width="18%" | <math>\operatorname{E}f|_{(x)(y)}</math> | 
|  | + | |- | 
|  | + | | <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} | 
|  | + | ~\operatorname{d}x~~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)(\operatorname{d}y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~\operatorname{d}x~(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)~\operatorname{d}y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}x)~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~(\operatorname{d}y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}x)(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x)~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~(\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~~\operatorname{d}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} | 
|  | + | ~\operatorname{d}x~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~\operatorname{d}x~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}x) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}x) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}x~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}x) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}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} | 
|  | + | ~(\operatorname{d}x,~\operatorname{d}y)~ | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x,~\operatorname{d}y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((\operatorname{d}x,~\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | ~(\operatorname{d}x,~\operatorname{d}y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((\operatorname{d}x,~\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | ~(\operatorname{d}x,~\operatorname{d}y)~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~(\operatorname{d}x,~\operatorname{d}y)~ | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x,~\operatorname{d}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} | 
|  | + | ~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}y~ | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ~\operatorname{d}y~ | 
|  | + | \\[4pt] | 
|  | + | (\operatorname{d}y) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (\operatorname{d}y) | 
|  | + | \\[4pt] | 
|  | + | ~\operatorname{d}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} | 
|  | + | ((\operatorname{d}x)(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~~\operatorname{d}y~) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | ((\operatorname{d}x)~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~(\operatorname{d}y)) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (~\operatorname{d}x~(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)~\operatorname{d}y~) | 
|  | + | \end{matrix}</math> | 
|  | + | | | 
|  | + | <math>\begin{matrix} | 
|  | + | (~\operatorname{d}x~~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | (~\operatorname{d}x~(\operatorname{d}y)) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)~\operatorname{d}y~) | 
|  | + | \\[4pt] | 
|  | + | ((\operatorname{d}x)(\operatorname{d}y)) | 
|  | + | \end{matrix}</math> | 
|  | + | |- | 
|  | + | | <math>f_{15}\!</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | + | | <math>((~))</math> | 
|  | |} |  | |} | 
|  |  |  |  | 
| Line 2,531: | Line 2,791: | 
|  | | width="10%" |   |  | | width="10%" |   | 
|  | | width="18%" | <math>f\!</math> |  | | width="18%" | <math>f\!</math> | 
| − | | width="18%" | | + | | width="18%" | <math>\operatorname{E}f|_{xy}</math> | 
| − | <math>\operatorname{E}f|_{xy}</math> | + | | width="18%" | <math>\operatorname{E}f|_{x(y)}</math> | 
| − | | width="18%" | | + | | width="18%" | <math>\operatorname{E}f|_{(x)y}</math> | 
| − | <math>\operatorname{E}f|_{x(y)}</math> | + | | width="18%" | <math>\operatorname{E}f|_{(x)(y)}</math> | 
| − | | width="18%" | |  | 
| − | <math>\operatorname{E}f|_{(x)y}</math> |  | 
| − | | width="18%" | |  | 
| − | <math>\operatorname{E}f|_{(x)(y)}</math> |  | 
|  | |- |  | |- | 
|  | | <math>f_0\!</math> |  | | <math>f_0\!</math> |