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articles/cosmos-db/gen-ai/distance-functions.md

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# What are distance functions?
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Distance functions are mathematical formulas used to measure the similarity or dissimilarity between vectors. Common examples include Manhattan distance, Euclidean distance, cosine similarity, and dot product. These measurements are crucial for determining how closely related two pieces of data.
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Distance functions are mathematical formulas used to measure the similarity or dissimilarity between vectors (see [vector search](vector-search-concept-overview.md)). Common examples include Manhattan distance, Euclidean distance, cosine similarity, and dot product. These measurements are crucial for determining how closely related two pieces of data.
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## Manhattan distance
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