SYED ABBAS, Proving the Extended Binomial Theorem Using Ordinary Differential Equations, Mathematics Magazine, Vol. 93, No. 1 (February 2020), pp. 33-35 ...

The main object of this paper is to show that in some cases the functional equation (2.1) can (and how it can) be reduced to the binomial functional equation (1.1) or (1.2). Though the procedure for ...

Second, the binomial distribution assumes that we know the intrinsic probability of an event occurring, as we would with a dice roll or coin flip. But we never really know what a baseball player’s ...