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MyWikiBiz, Author Your Legacy — Saturday April 12, 2025
Jump to navigationJump to search→Table A5. Ef Expanded Over Ordinary Features {x, y}
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~d\(x\)~(d\(y\))&+~d\(x\)~(d\(y\))&+~d\(x\)~(d\(y\))&+ d\(x\) &+ d\(x\) &+(d\(x\))&+(d\(x\))+(d\(x\))&+(d\(x\))&+ d\(x\) &+ d\(x\) + (d\(x\), d\(y\)) &+((d\(x\), d\(y\)))&+((d\(x\), d\(y\)))&+ (d\(x\), d\(y\)) +((d\(x\), d\(y\)))&+ (d\(x\), d\(y\)) &+ (d\(x\), d\(y\)) &+((d\(x\), d\(y\)))+ d\(y\) &+(d\(y\))&+ d\(y\) &+(d\(y\))+(d\(y\))&+ d\(y\) &+(d\(y\))&+ d\(y\) +((d\(x\))~d\(y\)~)&+(~d\(x\)~(d\(y\)))&+(~d\(x\)~~d\(y\)~)+((d\(x\))~d\(y\)~)&+(~d\(x\)~~d\(y\)~)&+(~d\(x\)~(d\(y\)))+(~d\(x\)~(d\(y\)))&+(~d\(x\)~~d\(y\)~)&+((d\(x\))~d\(y\)~)+(~d\(x\)~~d\(y\)~)&+(~d\(x\)~(d\(y\)))&+((d\(x\))~d\(y\)~)&+1&+1&+1&+1+
$latex
$latex
\begin{tabular}{|c|c||c|c|c|c|}
\begin{tabular}{|c|c||c|c|c|c|}
−\multicolumn{6}{c}{Table A5. \(\mathrm{E}f\) Expanded Over Ordinary Features \(\{x, y\}\)} \\
+\multicolumn{6}{c}{Table A6. \(\mathrm{D}f\) Expanded Over Ordinary Features \(\{x, y\}\)} \\
\hline
\hline
&
&
\(~~~~~~~~ f ~~~~~~~~\)&
\(~~~~~~~~ f ~~~~~~~~\)&
−\(~~\mathrm{E}f|_{ x\;y }~~~\)&
+\(~~\mathrm{D}f|_{ x\;y }~~~\)&
−\(~~\mathrm{E}f|_{ x~(y)}\,~~\)&
+\(~~\mathrm{D}f|_{ x~(y)}\,~~\)&
−\(~~\mathrm{E}f|_{(x)~y }\,~~\)&
+\(~~\mathrm{D}f|_{(x)~y }\,~~\)&
−\(~~\mathrm{E}f|_{(x)(y)}\;~\)
+\(~~\mathrm{D}f|_{(x)(y)}\,~\)
\\
\\
\hline\hline
\hline\hline
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\(f_{1}\)&
\(f_{1}\)&
\((x)(y)\)&
\((x)(y)\)&
−~d\(x\)~~d\(y~\)&
+~~d\(x\)~~d\(y~~\)&
−\;d\(x\)~(d\(y\))~&
−(d\(x\))~d\(y~\)&
+~(d\(x\))~d\(y~~\)&
−(d\(x\))(d\(y\))
+((d\(x\))(d\(y\)))
\\
\\
\(f_{2}\)&
\(f_{2}\)&
\((x)~y~\)&
\((x)~y~\)&
−\;d\(x\)~(d\(y\))~&
−~d\(x\)~~d\(y~\)&
+~~d\(x\)~~d\(y~~\)&
−(d\(x\))(d\(y\))&
+((d\(x\))(d\(y\)))&
−(d\(x\))~d\(y~\)
+~(d\(x\))~d\(y~~\)
\\
\\
\(f_{4}\)&
\(f_{4}\)&
\(~x~(y)\)&
\(~x~(y)\)&
−(d\(x\))~d\(y~\)&
+~(d\(x\))~d\(y~~\)&
−(d\(x\))(d\(y\))&
+((d\(x\))(d\(y\)))&
−~d\(x\)~~d\(y~\)&
+~~d\(x\)~~d\(y~~\)&
−~d\(x\)~(d\(y\))
+~~d\(x\)~(d\(y\))~
\\
\\
\(f_{8}\)&
\(f_{8}\)&
\(~x~~y~\)&
\(~x~~y~\)&
−(d\(x\))(d\(y\))&
+((d\(x\))(d\(y\)))&
−(d\(x\))~d\(y~\)&
+~(d\(x\))~d\(y~~\)&
−\;d\(x\)~(d\(y\))~&
−~d\(x\)~~d\(y~\)
+~~d\(x\)~~d\(y~~\)
\\
\\
\hline
\hline
\(f_{3}\)&
\(f_{3}\)&
\((x)\)&
\((x)\)&
−d\(x\)&
−d\(x\)&
−d\(x\)&
−d\(x\)
\\
\\
\(f_{12}\)&
\(f_{12}\)&
\( x \)&
\( x \)&
−d\(x\)&
−d\(x\)&
−d\(x\)&
−d\(x\)
\\
\\
\hline
\hline
\(f_{6}\)&
\(f_{6}\)&
\( (x,y) \)&
\( (x,y) \)&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))
\\
\\
\(f_{9}\)&
\(f_{9}\)&
\(((x,y))\)&
\(((x,y))\)&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))&
−(d\(x\), d\(y\))
\\
\\
\hline
\hline
\(f_{5}\)&
\(f_{5}\)&
\((y)\)&
\((y)\)&
−d\(y\)&
−d\(y\)&
−d\(y\)&
−d\(y\)
\\
\\
\(f_{10}\)&
\(f_{10}\)&
\( y \)&
\( y \)&
−d\(y\)&
−d\(y\)&
−d\(y\)&
−d\(y\)
\\
\\
\hline
\hline
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\((~x~~y~)\)&
\((~x~~y~)\)&
((d\(x\))(d\(y\)))&
((d\(x\))(d\(y\)))&
−~(d\(x\))~d\(y~~\)&
−\;d\(x\)~(d\(y\))~&
−~~d\(x\)~~d\(y~~\)
\\
\\
\(f_{11}\)&
\(f_{11}\)&
\((~x~(y))\)&
\((~x~(y))\)&
−~(d\(x\))~d\(y~~\)&
((d\(x\))(d\(y\)))&
((d\(x\))(d\(y\)))&
−~~d\(x\)~~d\(y~~\)&
−~~d\(x\)~(d\(y\))~
\\
\\
\(f_{13}\)&
\(f_{13}\)&
\(((x)~y~)\)&
\(((x)~y~)\)&
−\;d\(x\)~(d\(y\))~&
−~~d\(x\)~~d\(y~~\)&
((d\(x\))(d\(y\)))&
((d\(x\))(d\(y\)))&
−~(d\(x\))~d\(y~~\)
\\
\\
\(f_{14}\)&
\(f_{14}\)&
\(((x)(y))\)&
\(((x)(y))\)&
−~~d\(x\)~~d\(y~~\)&
−\;d\(x\)~(d\(y\))~&
−~(d\(x\))~d\(y~~\)&
((d\(x\))(d\(y\)))
((d\(x\))(d\(y\)))
\\
\\
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\(f_{15}\)&
\(f_{15}\)&
1&
1&
−0&
−0&
−0&
−0
\\
\\
\hline
\hline
