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中国古代军事中的计和算——以开方术在布营中的运用为例
引用本文:杨涤非,邹大海.中国古代军事中的计和算——以开方术在布营中的运用为例[J].广西民族学院学报(自然科学版),2014(2):15-20.
作者姓名:杨涤非  邹大海
作者单位:中国科学院自然科学史研究所,北京100190
摘    要:中国古代军事家对数学在军事上的具体运用是十分重视的.《孙子》中“计”和“庙算”等概念,反映了古代军事家在进行军事运筹活动时十分重视运用具体精密的定量分析方法.《武编》中的下营算法则提供了较复杂的数学方法应用于军事的一个实例.下营算法不仅反映了军事活动中对准确计算的要求,而且表明在保证准确的前提下,通过在一定程度上降低精度来简化计算、提高效率也是同样重要的.因此,在计算精度和计算效率不能兼顾时,保持二者的平衡可能是军事数学知识的一个特点.

关 键 词:古代军事      宿营  开方

The Calculation and Calculating in Military of Ancient Chinese——For the methods to calculate roots used in the barracks arrangement
YA Institute for t Academy NG Di-fei,he History of of Sciences,B ZOU Da-hai.The Calculation and Calculating in Military of Ancient Chinese——For the methods to calculate roots used in the barracks arrangement[J].Journal of Guangxi University For Nationalities(Natural Science Edition),2014(2):15-20.
Authors:YA Institute for t Academy NG Di-fei  he History of of Sciences  B ZOU Da-hai
Institution:Natural Sciences, Chinese eijing lO0190,China)
Abstract:The ancient Chinese military strategist attaches great importance to the appncatlon oi math- ematics. Barracks arrangement algorithm in WUBIAN(《武编》) not only reflects the accurate calculation of the required military activities, but also that in ensuring the accuracy of the premise, to a certain extent by reduced accuracy to simplify the calculation, improve efficiency is also important. Therefore, when the accu- racy and efficiency is not taken into account, a balance between the two may be the characteristic among the military mathematics.
Keywords:Military Of Ancient Chinese  Calculation And Calculating  barracks arrangement  calculate roots
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