fact: Definition root_mean_square (R : realType) (u_ : R ^nat) : R ^nat := let v_ := [sequence (u_ k)^+2]_k in [sequence Num.sqrt (n.+1%:R^-1 * series v_ n.+1)]_n.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum matrix) mathcomp(interval rat) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(set_interval) reals ereal signed topology normedtype landau