MyWikiBiz, Author Your Legacy — Monday July 08, 2024
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473 bytes removed
, 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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| |- | | |- |
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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> |
| |} | | |} |