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 d_\infty= \lim_{p \to \infty} \left( \sum_{i=1}^n \left| x_i - y_i \right|^p \right)^{1/p}

 May 31, 2015

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 #1
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$$d_\infty= \lim_{p \to \infty} \left( \sum_{i=1}^n \left| x_i - y_i \right|^p \right)^{1/p}$$

 

Without the limit it is a p-norm.  With the infinite limit I think it's just called an infinite p-norm or a maximum p-norm.

.

 Jun 1, 2015
 #1
avatar+33616 
+10
Best Answer

$$d_\infty= \lim_{p \to \infty} \left( \sum_{i=1}^n \left| x_i - y_i \right|^p \right)^{1/p}$$

 

Without the limit it is a p-norm.  With the infinite limit I think it's just called an infinite p-norm or a maximum p-norm.

.

Alan Jun 1, 2015

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