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位数随机的有效数字自动运算算法

         

摘要

针对物理实验数据的自动处理,提出一种位数随机的有效数字自动运算算法,包括有效数字运算结果的科学记数表示算法、有效位数的取舍算法、数据表示形武的转换算法以及不同位数有效数字的运算算法.对有效数字多项式的自动运算实验结果表明,该算法符合运算优先级的要求,运算结果符合有效数字的取舍原则,算法运算的结果与人工运算的结果完全相同,算法满足位数随机的物理实验数据的自动处理要求.%Aiming at automatic physics experimental data processing, an automated operation algorithm for significant figures with random capacity of digit is presented, which comprises the algorithm of scientific notation representation for significant digits operation results, the algorithm of rounding-off the valid digits, the algorithm of data representation style transformation and the algorithm of operation of significant figures with different capacity of digit. Results of experiment on automated operation of polynomials of significant digits show that the algorithm meets the operation precedence requirement, its operation results meet the round-off rule of significant digits and are identical to manual operation results, the algorithm also meets the automatic processing requirement for physics experimental data with random capacity of digit.

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