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DefinitionEdit

Given two squences (or strings) of symbols in an alphabet \mathcal{L}, the Hamming distance is a function that measures the number of positions for which the corresponding symbols are different, 
\sigma(s,t)=\frac{\sum_{i=1}^{\min\{|s|,|t|\}}\sigma_{id}(s[i],t[i])}{\max\{|s|,|t|\}},
where \sigma_{id} is the identity similarity Failed to parse (lexing error): \sigma_{id}(s[i],t[i])\left\{% \begin{array}{ll} 1, & \hbox{si $s[i]=t[i]$;} \\ 0, & \hbox{si $s[i]\neq t[i]$.} \\\end{array}% \right.

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