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Continuing with the example <math>pq : X \to \mathbb{B},</math> Figure 25-1 shows the enlargement or shift map <math>\operatorname{E}(pq) : \operatorname{E}X \to \mathbb{B}</math> in the same style of differential field picture that we drew for the tacit extension <math>\varepsilon (pq) : \operatorname{E}X \to \mathbb{B}.</math>
Continuing with the example <math>pq : X \to \mathbb{B},</math> Figure 25-1 shows the enlargement or shift map <math>\operatorname{E}(pq) : \operatorname{E}X \to \mathbb{B}</math> in the same style of differential field picture that we drew for the tacit extension <math>\varepsilon (pq) : \operatorname{E}X \to \mathbb{B}.</math>
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{| align="center" cellspacing="10" style="text-align:center"
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{| align="center" cellspacing="10" style="text-align:center; width:90%"
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| [[Image:Field Picture PQ Enlargement Conjunction.jpg|500px]]
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|-
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| <math>\text{Figure 25-1. Enlargement}~ \operatorname{E}(pq) : \operatorname{E}X \to \mathbb{B}</math>
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<pre>
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<math>\begin{array}{rcccccc}
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o---------------------------------------------------------------------o
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\operatorname{E}(pq)
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| |
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& = & p & \cdot & q & \cdot & (\operatorname{d}p)(\operatorname{d}q)
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| X |
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\\[4pt]
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| o-------------------o o-------------------o |
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& + & p & \cdot & (q) & \cdot & (\operatorname{d}p)~\operatorname{d}q~
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| / \ / \ |
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\\[4pt]
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| / P o Q \ |
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& + & (p) & \cdot & q & \cdot & ~\operatorname{d}p~(\operatorname{d}q)
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| / / \ \ |
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\\[4pt]
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| / / \ \ |
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& + & (p) & \cdot & (q) & \cdot & ~\operatorname{d}p~~\operatorname{d}q~
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| / / \ \ |
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\end{array}</math>
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| / / \ \ |
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| / / \ \ |
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| o o (dp) (dq) o o |
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| | | o-->--o | | |
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| | | \ / | | |
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| | (dp) dq | \ / | dp (dq) | |
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| | o----------------->o<-----------------o | |
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| | | ^ | | |
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| | | | | | |
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| | | | | | |
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| o o | o o |
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| \ \ | / / |
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| \ \ | / / |
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| \ \ | / / |
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| \ \ | / / |
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| \ \|/ / |
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| \ | / |
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| \ /|\ / |
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| o-------------------o | o-------------------o |
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| | |
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| dp | dq |
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| | |
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| | |
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| o |
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| |
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o---------------------------------------------------------------------o
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Figure 25-1. Enlargement E[pq] : EX -> B
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</pre>
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