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Given a collection D of documents. For any keyword ( or index term ) w , the document frequency d f subscript w is the

Given a collection D of documents. For any keyword (or index term) w, the document frequency d f subscript w is the number of documents in D that contain w. We sort all keywords in decreasing order of their document frequencies. Let r subscript w denote the rank, i.e., the position of w in the sorted list. Assume that we have the following Zipfs Law:
d f subscript w space equals space A over r subscript w
Here, A is constant. Suppose that there are N distinct keywords. Under the above Zipfs Law, what is the size of the inverted indices for D?

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