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\end{matrix}</math>   
 
\end{matrix}</math>   
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Intuitively, we want to map this ('''B'''<sup>2</sup>)<sup>''n''</sup> onto ''D''<sup>''n''</sup> by mapping each component '''B'''<sup>2</sup> onto a copy of '''D'''.  But in our current situation "'''D'''" is just a name we give, or an accidental quality we attribute, to coefficient values in '''B''' when they are attached to features in d<font face="lucida calligraphy">X</font>.
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Intuitively, we want to map this <math>(\mathbb{B}^2)^n</math> onto <math>\mathbb{D}^n</math> by mapping each component <math>\mathbb{B}^2</math> onto a copy of <math>\mathbb{D}.</math> But in the presenting context "<math>\mathbb{D}</math>" is just a name associated with, or an incidental quality attributed to, coefficient values in <math>\mathbb{B}</math> when they are attached to features in <math>\operatorname{d}\mathcal{X}.</math>
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Therefore, define d''x''<sub>''i''</sub> : ''X''<sup>2</sup> &rarr; '''B''' such that:
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Taking these inetntions into account, define <math>\operatorname{d}x_i : X^2 \to \mathbb{B}</math> in the following manner:
    
:{| cellpadding=2
 
:{| cellpadding=2
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