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本文是給出n个联立一次方程准确解的一种列表計算法,对於一般的联立一次方程,本法只要做1/3n(n-1)(n-2)+5/2n(n-1)+n次乘法攻除法,其积或商完全登記在表上,所以便於檢查。应用於解n个三撓矩方程,本法只要做6n-5次乘法或除法。 計算时可用算尺,用算尺計算所产生的小誤差在必要时可用計算校正差表格校正之,这种表格是利用表内已算出的系数作成的。
This paper gives a list calculation method for the exact solution of n simultaneous first order equations. For general simultaneous first order equations, this method only needs to do 1/3n(n-1)(n-2)+5/2n( N-1) + n multiply multiplications and divisions, the product or quotient is completely registered on the table, so it is easy to check. Applied to solving n trigonometric moment equations, this method only needs to do 6n-5 multiplications or divisions. A calculation scale can be used to calculate the small error generated by the ruler. If necessary, it can be corrected by calculating the correction difference table. This type of table is created using the calculated coefficients in the table.