#averaged-bow

An averaged bag-of-words represents a document $D$ as $\mathbf{x} = \frac{1}{|D|}\sum_{i=1}^{|D|} \mathbf{x}^{D_{[i]}}$, the mean of the one-hot vectors of its tokens. For the document "the cat saw the dog", what is the entry of $\mathbf{x}$ for the word "the"?