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:<math> u \big ( \left \Vert \mathbf{x} - \mathbf{c}_i \right \Vert \big ) \ \stackrel{\mathrm{def}}{=}\ \frac { \rho \big ( \left \Vert \mathbf{x} - \mathbf{c}_i \right \Vert \big ) } { \sum_{j=1}^N \rho \big ( \left \Vert \mathbf{x} - \mathbf{c}_j \right \Vert \big ) } </math>
is known as a
====Theoretical motivation for normalization====
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