MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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| ==Work Area== | | ==Work Area== |
| | | |
| + | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%" |
| + | |+ <math>\text{Table A3.}~~\mathrm{E}f ~\text{Expanded over Differential Features}~ \{ \mathrm{d}p, \mathrm{d}q \}\!</math> |
| + | |- style="background:#f0f0ff" |
| + | | width="10%" | |
| + | | width="18%" | <math>f\!</math> |
| + | | width="18%" | |
| + | <p><math>\mathrm{T}_{11} f\!</math></p> |
| + | <p><math>\mathrm{E}f|_{\mathrm{d}p~\mathrm{d}q}\!</math></p> |
| + | | width="18%" | |
| + | <p><math>\mathrm{T}_{10} f\!</math></p> |
| + | <p><math>\mathrm{E}f|_{\mathrm{d}p(\mathrm{d}q)}\!</math></p> |
| + | | width="18%" | |
| + | <p><math>\mathrm{T}_{01} f\!</math></p> |
| + | <p><math>\mathrm{E}f|_{(\mathrm{d}p)\mathrm{d}q}\!</math></p> |
| + | | width="18%" | |
| + | <p><math>\mathrm{T}_{00} f\!</math></p> |
| + | <p><math>\mathrm{E}f|_{(\mathrm{d}p)(\mathrm{d}q)}\!</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} |
| + | (p)(q) |
| + | \\[4pt] |
| + | (p)~q~ |
| + | \\[4pt] |
| + | ~p~(q) |
| + | \\[4pt] |
| + | ~p~~q~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~p~~q~ |
| + | \\[4pt] |
| + | ~p~(q) |
| + | \\[4pt] |
| + | (p)~q~ |
| + | \\[4pt] |
| + | (p)(q) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~p~(q) |
| + | \\[4pt] |
| + | ~p~~q~ |
| + | \\[4pt] |
| + | (p)(q) |
| + | \\[4pt] |
| + | (p)~q~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (p)~q~ |
| + | \\[4pt] |
| + | (p)(q) |
| + | \\[4pt] |
| + | ~p~~q~ |
| + | \\[4pt] |
| + | ~p~(q) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (p)(q) |
| + | \\[4pt] |
| + | (p)~q~ |
| + | \\[4pt] |
| + | ~p~(q) |
| + | \\[4pt] |
| + | ~p~~q~ |
| + | \end{matrix}\!</math> |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_3 |
| + | \\[4pt] |
| + | f_{12} |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (p) |
| + | \\[4pt] |
| + | ~p~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~p~ |
| + | \\[4pt] |
| + | (p) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~p~ |
| + | \\[4pt] |
| + | (p) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (p) |
| + | \\[4pt] |
| + | ~p~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (p) |
| + | \\[4pt] |
| + | ~p~ |
| + | \end{matrix}\!</math> |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_6 |
| + | \\[4pt] |
| + | f_9 |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~(p,~q)~ |
| + | \\[4pt] |
| + | ((p,~q)) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~(p,~q)~ |
| + | \\[4pt] |
| + | ((p,~q)) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ((p,~q)) |
| + | \\[4pt] |
| + | ~(p,~q)~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ((p,~q)) |
| + | \\[4pt] |
| + | ~(p,~q)~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~(p,~q)~ |
| + | \\[4pt] |
| + | ((p,~q)) |
| + | \end{matrix}\!</math> |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_5 |
| + | \\[4pt] |
| + | f_{10} |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (q) |
| + | \\[4pt] |
| + | ~q~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~q~ |
| + | \\[4pt] |
| + | (q) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (q) |
| + | \\[4pt] |
| + | ~q~ |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ~q~ |
| + | \\[4pt] |
| + | (q) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (q) |
| + | \\[4pt] |
| + | ~q~ |
| + | \end{matrix}\!</math> |
| + | |- |
| + | | |
| + | <math>\begin{matrix} |
| + | f_7 |
| + | \\[4pt] |
| + | f_{11} |
| + | \\[4pt] |
| + | f_{13} |
| + | \\[4pt] |
| + | f_{14} |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (~p~~q~) |
| + | \\[4pt] |
| + | (~p~(q)) |
| + | \\[4pt] |
| + | ((p)~q~) |
| + | \\[4pt] |
| + | ((p)(q)) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ((p)(q)) |
| + | \\[4pt] |
| + | ((p)~q~) |
| + | \\[4pt] |
| + | (~p~(q)) |
| + | \\[4pt] |
| + | (~p~~q~) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | ((p)~q~) |
| + | \\[4pt] |
| + | ((p)(q)) |
| + | \\[4pt] |
| + | (~p~~q~) |
| + | \\[4pt] |
| + | (~p~(q)) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (~p~(q)) |
| + | \\[4pt] |
| + | (~p~~q~) |
| + | \\[4pt] |
| + | ((p)(q)) |
| + | \\[4pt] |
| + | ((p)~q~) |
| + | \end{matrix}\!</math> |
| + | | |
| + | <math>\begin{matrix} |
| + | (~p~~q~) |
| + | \\[4pt] |
| + | (~p~(q)) |
| + | \\[4pt] |
| + | ((p)~q~) |
| + | \\[4pt] |
| + | ((p)(q)) |
| + | \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> |
| | | |
| ==Operational Representation== | | ==Operational Representation== |