Abstract
Normalization and normal forms play an important part in mathematical analysis and algebra. For instance, n×n-matrices can be put in Jordan normal form. Such an example also makes it clear that normalization is not a unique procedure as the choice of normalization of matrices depends on its purpose. In the case of matrices there is a vast literature with many possibilities, but in all special cases and in other mathematical problems as well, the general aim of normalization is a simplification of the object by transformation.
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