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> |