MyWikiBiz, Author Your Legacy — Wednesday November 05, 2025
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, 03:09, 13 March 2009
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| | ===Version 3=== | | ===Version 3=== |
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| − | <pre>
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| − | Orbit 1. u v
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| − | o-----o-----o
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| − | | | d d |
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| − | | u v | u v |
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| − | o=====o=====o
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| − | | 1 1 | 0 0 |
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| − | | " " | " " |
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| − | o-----o-----o
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| − | </pre>
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| − |
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| − | <br>
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| − |
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| − | <pre>
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| − | Orbit 2. (u v)
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| − | o-----o-----o-----o
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| − | | | | d d |
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| − | | | d d | 2 2 |
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| − | | u v | u v | u v |
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| − | o=====o=====o=====o
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| − | | 0 0 | 0 1 | 1 0 |
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| − | | 0 1 | 1 1 | 1 1 |
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| − | | 1 0 | 0 0 | 0 0 |
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| − | | " " | " " | " " |
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| − | o-----o-----o-----o
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| − | </pre>
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| − |
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| − | <br>
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| | | | |
| | {| align="center" cellpadding="8" style="text-align:center" | | {| align="center" cellpadding="8" style="text-align:center" |
| | + | | <math>\text{Orbit 1}\!</math> |
| | + | |- |
| | | | | | |
| − | <math>\begin{array}{ccc} | + | <math>\begin{array}{c|cc|cc|} |
| − | \texttt{u}' & = & \texttt{((u)(v))}
| + | t & u & v & du & dv \\[8pt] |
| − | \\ | + | 0 & 1 & 1 & 0 & 0 \\ |
| − | \texttt{v}' & = & \texttt{((u,~v))}
| + | 1 & '' & '' & '' & '' \\ |
| | \end{array}</math> | | \end{array}</math> |
| | |- | | |- |
| − | | | + | | |
| − | <math>\begin{matrix}
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| − | \text{Orbit 1}
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| − | \\
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| − | \text{Initial Point :}~ (u, v) = (1, 1)
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| − | \end{matrix}</math>
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| − | |-
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| − | |
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| − | <math>\begin{array}{c|cc}
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| − | t & u & v \\
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| − | \\
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| − | 0 & 1 & 1 \\
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| − | 1 & 1 & 1 \\
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| − | 2 & '' & '' \\
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| − | \end{array}</math>
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| | |- | | |- |
| − | | | + | | <math>\text{Orbit 2}\!</math> |
| − | <math>\begin{matrix} | |
| − | \text{Orbit 2} | |
| − | \\
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| − | \text{Initial Point :}~ (u, v) = (0, 0)
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| − | \end{matrix}</math>
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| | |- | | |- |
| | | | | | |
| − | <math>\begin{array}{c|cc} | + | <math>\begin{array}{c|cc|cc|cc|} |
| − | t & u & v \\ | + | t & u & v & du & dv & d^2 u & d^2 v \\[8pt] |
| − | \\
| + | 0 & 0 & 0 & 0 & 1 & 1 & 0 \\ |
| − | 0 & 0 & 0 \\ | + | 1 & 0 & 1 & 1 & 1 & 1 & 1 \\ |
| − | 1 & 0 & 1 \\ | + | 2 & 1 & 0 & 0 & 0 & 0 & 0 \\ |
| − | 2 & 1 & 0 \\ | + | 3 & '' & '' & '' & '' & '' & '' \\ |
| − | 3 & 1 & 0 \\
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| − | 4 & '' & '' \\
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| | \end{array}</math> | | \end{array}</math> |
| | |} | | |} |