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		610 bytes added
	
		,  02:52, 17 June 2009
	
 
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|   | | <math>\text{Figure 24-1.  Proposition}~ pq : X \to \mathbb{B}</math>  |   | | <math>\text{Figure 24-1.  Proposition}~ pq : X \to \mathbb{B}</math>  | 
|   | + | |}  | 
|   | + |  | 
|   | + | {| align="center" cellspacing="10" style="text-align:center"  | 
|   | + | | [[Image:Field Picture PQ Tacit Extension Conjunction.jpg|500px]]  | 
|   | + | |-  | 
|   | + | | <math>\text{Figure 24-2.  Tacit Extension}~ \varepsilon (pq) : \operatorname{E}X \to \mathbb{B}</math>  | 
|   | + | |-  | 
|   | + | |  | 
|   | + | <math>\begin{array}{rcccccc}  | 
|   | + | \varepsilon (pq)  | 
|   | + | & = & p & \cdot & q & \cdot & (\operatorname{d}p)(\operatorname{d}q)  | 
|   | + | \\[4pt]  | 
|   | + | & + & p & \cdot & q & \cdot & (\operatorname{d}p)~\operatorname{d}q~  | 
|   | + | \\[4pt]  | 
|   | + | & + & p & \cdot & q & \cdot & ~\operatorname{d}p~(\operatorname{d}q)  | 
|   | + | \\[4pt]  | 
|   | + | & + & p & \cdot & q & \cdot & ~\operatorname{d}p~~\operatorname{d}q~  | 
|   | + | \end{array}</math>  | 
|   | |}  |   | |}  |