Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033 K to 933.473 K |
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作者姓名: | 康志茹 傅广生 K.D.Hill |
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作者单位: | [1]CollegeofPhysicsTechnology,HebeiUniversity,Baoding071002//HebeiProvincialInstituteofMetrology,Shijiazhuang050051 [2]CollegeofPhysicsTechnology,HebeiUniversity,Baoding071002 [3]NationalResearchCouncilofCanada,Ottawa,Canada |
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摘 要: | Based on implicit differentiation, we present the total differential of linear interpolation and the equation of propagation of uncertainty on the ITS-90 in any of the sub-ranges from 13.8033 K to 933.473 K. It is proven that the sensitivity coefficients of the linear interpolation are still linear combinations of the basis functions comprising the interpolation equation, only with different constants that can be presented in the determinant form. This solves the question to express the equation of propagation of uncertainty of a complex interpolation comprised of many different basic functions.
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关 键 词: | 隐函数微分 传播方程 ITS-90 线性插值 不确定性 |
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