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===Generalizations===
These definitions can be extended to the case when <math>v</math> and <math>v_{\text{approx}}</math> are [[Euclidean vector|''n''-dimensional vectors]], by replacing the absolute value with an [[norm (mathematics)|''n''-norm]].<ref name="GOLUB_MAT_COMP2.2.3">{{cite book|last=Golub|first=Gene|authorlinkauthor-link=Gene_H._Golub|author2=Charles F. Van Loan|title=Matrix Computations – Third Edition|publisher=The Johns Hopkins University Press|year=1996|___location=Baltimore|pages=53|isbn=0-8018-5413-X}}
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