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Directory:Jon Awbrey/Papers/Differential Logic : Introduction
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Revision as of 20:38, 15 June 2009
132 bytes removed
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20:38, 15 June 2009
→Note 22
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o-------------------------------------------------o
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| f = p q |
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o-------------------------------------------------o
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| Df = p q ((dp)(dq)) |
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| + p (q) (dp) dq |
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| + (p) q dp (dq) |
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| + (p)(q) dp dq |
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o-------------------------------------------------o
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Figure 22-c. Difference D[pq] : EX -> B
</pre>
</pre>
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| <math>\text{Figure 22-c. Difference}~ \operatorname{D}(pq) : \operatorname{E}X \to \mathbb{B}</math>
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<math>\begin{array}{rcccccc}
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f
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& = & p & \cdot & q
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\\[4pt]
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\operatorname{D}f
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& = & p & \cdot & q & \cdot & ((\operatorname{d}p)(\operatorname{d}q))
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\\[4pt]
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& + & p & \cdot & (q) & \cdot & ~(\operatorname{d}p)~\operatorname{d}q~~
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\\[4pt]
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& + & (p) & \cdot & q & \cdot & ~~\operatorname{d}p~(\operatorname{d}q)~
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\\[4pt]
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& + & (p) & \cdot & (q) & \cdot & ~~\operatorname{d}p~~\operatorname{d}q~~
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\end{array}</math>
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Jon Awbrey
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