The total influence is
(1)
For the indicator of a monotone family under a p-biased product measure, the Margulis-Russo formula identifies the derivative of with the suitably normalized total influence of .

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  1. Influence of a variable
  2. Discrete derivative of a Boolean function
  3. Fourier-Walsh transform
  4. Boolean function
  5. Boolean hypercube
  6. Analysis of Boolean functions
  7. Combinatorics
  8. Area of mathematics
  9. Mathematics
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