#resolving__resolution  analysis into clear-cut components
  supertype:  partitioning__breakdown  an analysis into mutually exclusive categories
  subtype:  factorization__factorisation__factoring  (mathematics) the resolution of an integer or polynomial into factors such that when multiplied together they give the integer or polynomial
  subtype:  diagonalization__diagonalisation  (matrix algebra) changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal); "the diagonalization of a normal matrix by a unitary transformation"

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