MyWikiBiz, Author Your Legacy — Thursday November 07, 2024
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| | ==Work Area== | | ==Work Area== |
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| − | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%"
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| − | |+ <math>\text{Table A3.}~~\mathrm{E}f ~\text{Expanded over Differential Features}~ \{ \mathrm{d}p, \mathrm{d}q \}\!</math>
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| − | |- style="background:#f0f0ff"
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| − | | width="10%" |
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| − | | width="18%" | <math>f\!</math>
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| − | | width="18%" |
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| − | <p><math>\mathrm{T}_{11} f\!</math></p>
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| − | <p><math>\mathrm{E}f|_{\mathrm{d}p~\mathrm{d}q}\!</math></p>
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| − | | width="18%" |
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| − | <p><math>\mathrm{T}_{10} f\!</math></p>
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| − | <p><math>\mathrm{E}f|_{\mathrm{d}p(\mathrm{d}q)}\!</math></p>
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| − | | width="18%" |
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| − | <p><math>\mathrm{T}_{01} f\!</math></p>
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| − | <p><math>\mathrm{E}f|_{(\mathrm{d}p)\mathrm{d}q}\!</math></p>
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| − | | width="18%" |
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| − | <p><math>\mathrm{T}_{00} f\!</math></p>
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| − | <p><math>\mathrm{E}f|_{(\mathrm{d}p)(\mathrm{d}q)}\!</math></p>
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| − | |-
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| − | | <math>f_0\!</math>
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| − | | <math>(~)\!</math>
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| − | | <math>(~)\!</math>
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| − | | <math>(~)\!</math>
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| − | | <math>(~)\!</math>
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| − | | <math>(~)\!</math>
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| − | <math>\begin{matrix}
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| − | f_1
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| − | f_4
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| − | f_8
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)(q)
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| − | (p)~q~
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| − | ~p~(q)
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| − | ~p~~q~
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | ~p~~q~
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| − | \\[4pt]
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| − | ~p~(q)
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| − | \\[4pt]
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| − | (p)~q~
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| − | (p)(q)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | ~p~(q)
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| − | \\[4pt]
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| − | ~p~~q~
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| − | (p)(q)
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| − | \\[4pt]
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| − | (p)~q~
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)~q~
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| − | \\[4pt]
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| − | (p)(q)
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| − | \\[4pt]
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| − | ~p~~q~
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| − | \\[4pt]
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| − | ~p~(q)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)(q)
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| − | (p)~q~
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| − | \\[4pt]
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| − | ~p~(q)
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| − | \\[4pt]
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| − | ~p~~q~
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | f_3
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| − | \\[4pt]
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| − | f_{12}
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)
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| − | \\[4pt]
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| − | ~p~
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | \\[4pt]
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| − | (p)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | \\[4pt]
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| − | (p)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)
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| − | \\[4pt]
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| − | ~p~
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (p)
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| − | <math>\begin{matrix}
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| − | f_6
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| − | \\[4pt]
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | ((p,~q))
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | <math>\begin{matrix}
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| − | f_5
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| − | f_{10}
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (q)
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| − | <math>\begin{matrix}
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| − | <math>\begin{matrix}
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| − | <math>\begin{matrix}
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| − | <math>\begin{matrix}
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| − | f_7
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (~p~~q~)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | ((p)(q))
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| − | ((p)~q~)
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| − | (~p~~q~)
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | ((p)~q~)
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| − | ((p)(q))
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| − | (~p~~q~)
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| − | (~p~(q))
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| − | \end{matrix}\!</math>
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| − | <math>\begin{matrix}
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| − | (~p~(q))
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| − | (~p~~q~)
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| − | ((p)(q))
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| − | ((p)~q~)
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| − | \end{matrix}\!</math>
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| − | |
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| − | <math>\begin{matrix}
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| − | (~p~~q~)
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| − | (~p~(q))
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| − | \end{matrix}\!</math>
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| − | |-
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| − | | <math>f_{15}\!</math>
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| − | | <math>((~))\!</math>
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| − | | <math>((~))\!</math>
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| − | | <math>((~))\!</math>
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| − | | <math>((~))\!</math>
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| − | | <math>((~))\!</math>
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| − | |- style="background:#f0f0ff"
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| − | | colspan="2" | <math>\text{Fixed Point Total}\!</math>
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| − | | <math>4\!</math>
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| − | | <math>4\!</math>
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| − | | <math>4\!</math>
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| − | | <math>16\!</math>
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| − | |}
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| − | <br>
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| − | <math>\text{Number of orbits}~ = (4 + 4 + 4 + 16) \div 4 = 7.\!</math> Amazing!
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| | ==Operational Representation== | | ==Operational Representation== |
