相关实验视频
Updated: Jan 14, 2026

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Picometer-Precision Atomic Position Tracking through Electron Microscopy
Published on: July 3, 2021
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基地,位置和计算
1School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh EH9 3FD, Edinburgh, UK.
概括
古代的数值系统,古巴比伦的六进制和中国的十进制位数符号,都采用了不同的依赖基础的算法来进行乘法. 它们不同的计算方法揭示了它们的数字系统结构的根本差异.
科学领域:
- 数学的历史数学的历史.
- 数学理论 数学理论
- 古代文明 古代文明
背景情况:
- 位置值编号系统使用位置表示的基础和他们的力量.
- 古代资料表明,至少有两种不同的家族引入了这样的系统.
- 这些系统中的乘法运算以重复的算法结构与基础绑定为特征.
研究的目的:
- 认为两个主要的位置值编号系统家族从根本上有所不同.
- 通过它们的乘法算法对基础的依赖来揭示这些系统的独特性质.
- 分析基础的属性如何影响古代数学中的计算方法.
主要方法:
- 在古巴比伦的六进制和中国的十进制位数值系统中使用的算法的比较分析.
- 检查基础的数论性质在计算程序中的作用.
- 调查数字序列和基础选择如何影响算法方法.
主要成果:
- 古巴比伦的六进制算法利用了基础可分割性和数字属性来进行诸如相互计算之类的运算,因数对因数产生结果.
- 中国的十进制乘法和除法是以数字来操作的,独立于特定的基础属性.
- 基础的作用和意义在这两个系统之间有很大的差异.
结论:
- 在古代位置值系统中使用的计算策略反映了它们的基础结构差异.
- 了解基础在算法中的作用,可以深入了解数值系统的性质.
- 古代的数学实践突出了数字表示和计算的各种方法.
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