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arXiv 1504.01633physics.data-anphysics.atom-ph
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对时钟频率比较数据进行最小二乘分析,以推导出优化的频率和频率比值

Least-squares analysis of clock frequency comparison data to deduce optimized frequency and frequency ratio values

H. S. Margolis, P. Gill

摘要:

提出了一种用于分析涉及基于多个不同参考转变的标准的时钟频率比较数据的超定集合的方法。这种最小二乘调整过程,这是基于CODATA使用的方法,以获得一个自洽的一组值的基本物理常数,可以用来获得优化值的频率比的所有可能的参考转换对。它被证明,以重现国际度量衡委员会建议的频率值,当使用相同的输入数据用于获得这些值。包括最近公布的数据在评估中的影响进行了讨论,并强调会计输入数据之间的相关性的重要性。

英文摘要:

A method is presented for analysing over-determined sets of clock frequency comparison data involving standards based on a number of different reference transitions. This least-squares adjustment procedure, which is based on the method used by CODATA to derive a self-consistent set of values for the fundamental physical constants, can be used to derive optimized values for the frequency ratios of all possible pairs of reference transitions. It is demonstrated to reproduce the frequency values recommended by the International Committee for Weights and Measures, when using the same input data used to derive those values. The effects of including more recently published data in the evaluation is discussed and the importance of accounting for correlations between the input data is emphasised.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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