在用仪器进行测量时,如果测量点数较多,同时又要求对同一测量过程测量多次时,测量数据的数据量就将是很大的。如果用计算机采集这些测量数据,然后按常规的方法做计算,则要求计算机要有较大的内存量供存放这些数据。本文将给出两个递推公式,利用这两个公式可对多次测量数据的算术平均值和测量残差平方和进行递推计算,从而大大节省内存的开销。 When measuring with the instrument, if there are many measurement points and the measurement of the same measurement process is required several times, the data volume of the measurement data will be very large. If the computer to collect these measurements, and then calculated according to the conventional method, requires the computer to have a larger amount of memory for storing these data. This article will give two recursion formulas, using these two formulas to recursive calculations of the arithmetic mean of multiple measurements and the square of the measured residuals, saving significant memory overhead.