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Renormalization

In theoretical physics, renormalization is used to treat infinities.

 


Explanation

Renormalization is used to treat infinities arising in calculated quantities by altering values of quantities to compensate for effects of their self-interactions.

 


Example 1

Under certain circumstances you can calculate the value of the divergent series ∑ = 1 − 4 + 16 − 64 + 256 − ···  as

    1∑    = 1 − 4 + 16 − 64 + 256 − ···   
 4∑    =       4 − 16 + 64 − 256 + ···     +
 5∑    = 1  

In the series are only integers, nevertheless the sum is a fraction

    ∑   = 1 − 4 + 16 − 64 + 256 − ··· =    1 
 5 

 


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