Question: Consider a set of documents. Assume that all documents have been normalized to have unit length of 1. What is the shape of a cluster

Consider a set of documents. Assume that all documents have been normalized to have unit length of 1. What is the "shape" of a cluster that consists of all documents whose cosine similarity to a centroid is greater than some specified constant? In other words, cos(d, c) ≥ δ, where 0 < δ ≤ 1.

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