Mathematical series

equation types listed below:
summations    probability   

Summations no. Description Equation 1 sum of integers 2 sum of integers squared 3 sum of integers, cubic 4 power series x1 convergence: |x|<1 5 power series, derivative x1 convergence: |x|<1 Probability        [top] no. Description Equation 1 factorial N 2 permutation, k out of N 3 permutation, weighed linear 4 permutation, weighed square 5 power N of a sum 6 special case of Eq.5, with a=b=1 7 sum of binomial probabilities; special case of Eq.5: a = 1-b = ; 01 8 binomial distribution: expectation value (01) 9 binomial distribution: expectation value of square (01) 10 binomial distribution: variance of k (01)