1. An intrusion detection method for distributing customizable functions of data, the customizable functions of data including matching subsequences by measuring distances between corresponding records of two individual subsequences over a network to a remote subscriber computer, the method comprising: receiving data at a transmission server sent from a data source over the Internet, the transmission server comprising a processor and memory that stores the remote subscriber's address and receives in real-time the remote subscriber's requested function of data; formatting the incoming data into: a sequence of first input values x n wherein n=1, 2,. .. i, wherein for any value of n, x n lies between x n+1 and x n−1 in the sequence, and has associated with it: a second input value y n ; a conversion value p n that is calculated from y n according to a conversion algorithm using at least one of the one or more processors, wherein p n is a function of the distance between y n and another second input value; and one or more intermediate description values z n , wherein z n =z n−1 +p n ; and configuring the memory to store the two or more intermediate description values z n for each time step, wherein the intermediate description values z n are configured for two or more of the intermediate description values z n to be used in combination by the computer system in subsequent calculations to generate descriptive data, wherein two of the intermediate description values z n correspond to a start point and an end point of a range of interest, wherein the averaging periods are calculatable over unpredictable periods of time as well as calculatable over known periods of time, and wherein the averaging periods are calculatable over time-varying periods as well as calculatable over fixed periods of time; wherein the subscriber requests a function, start point, and end point of range of interest, wherein the transmission server then sends intermediate description values z n corresponding to the request, wherein the subscriber performs a single operation to the intermediate description values z n to calculate the function.