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Wikipedia definition
1. OrthogonalizationIn linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1,... ,vk} in an inner product space (most commonly the Euclidean space R), orthogonalization results in a set of orthogonal vectors {u1,... ,uk} that generate the same subspace as the vectors v1,... ,vk.
Read “Orthogonalization” on English Wikipedia
Read “直交化” on Japanese Wikipedia
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