Changes

Directory talk:Jon Awbrey/Papers/Differential Propositional Calculus (view source)

Revision as of 20:24, 17 June 2008

64 bytes added , 20:24, 17 June 2008

→‎Work Area: fill table

Line 4,102: Line 4,102:

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & (y) & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & (y) & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,123: Line 4,123:

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & (y) & \operatorname{d}x & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & (y) & \operatorname{d}x & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & y & \operatorname{d}x & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & y & \operatorname{d}x & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & (y) & \operatorname{d}x & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & (y) & \operatorname{d}x & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & y & \operatorname{d}x & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|}

Line 4,150: Line 4,150:

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & y & (\operatorname{d}x) & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & (y) & (\operatorname{d}x) & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & (y) & (\operatorname{d}x) & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & y & (\operatorname{d}x) & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & y & (\operatorname{d}x) & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & (y) & (\operatorname{d}x) & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & (y) & (\operatorname{d}x) & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & (\operatorname{d}x) & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & (y) & (\operatorname{d}x) & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & (y) & (\operatorname{d}x) & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& (x) & y & (\operatorname{d}x) & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & (x) & y & (\operatorname{d}x) & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & (y) & (\operatorname{d}x) & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & (y) & (\operatorname{d}x) & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|-

| height="40px" |

<math>\begin{smallmatrix}

−

& x & y & \operatorname{d}x & \operatorname{d}y \\

+

& x & y & (\operatorname{d}x) & (\operatorname{d}y) \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & (\operatorname{d}x) & (\operatorname{d}y) \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,264: Line 4,264:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,302: Line 4,302:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,332: Line 4,332:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

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<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,364: Line 4,364:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,370: Line 4,370:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,379: Line 4,379:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,385: Line 4,385:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,394: Line 4,394:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,400: Line 4,400:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,421: Line 4,421:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,427: Line 4,427:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,433: Line 4,433:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,439: Line 4,439:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,448: Line 4,448:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,454: Line 4,454:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,460: Line 4,460:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,466: Line 4,466:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,475: Line 4,475:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,481: Line 4,481:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,487: Line 4,487:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,493: Line 4,493:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Line 4,502: Line 4,502:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,508: Line 4,508:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,514: Line 4,514:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|-

Line 4,520: Line 4,520:

<math>\begin{smallmatrix}

& x & y & \operatorname{d}x & \operatorname{d}y \\

−

+ & (x) & (y) & \operatorname{d}x & \operatorname{d}y \\

+

+ & x & y & \operatorname{d}x & \operatorname{d}y \\

\end{smallmatrix}</math>

|}

Jon Awbrey

12,080

edits