Shannon Theorem of Random entropy The measure of uncertainty, will take the form of H(p,…,p,)=-k n=1 R log R if the conditions below are satisfied (1)Hs should be a continuous function of p for all n (2)Hs should be a monotonically increasing function ofn when p=I/N for all n 3) Hs should observe the rule of stepped weighting summationShannon Theorem of Random Entropy The measure of uncertainty, will take the form of H (p , …, p ) = - k p log p n n=1 N n S 1 N (1) H should be a continuous function of p , for all n; S n if the conditions below are satisfied: (2) H should be a monotonically increasing function of N when p = 1/N for all n; S n (3) H should observe the rule of stepped weighting summation. S