Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K

Chin. Phys. Lett.

2005, Vol. 22

Issue (3): 558-560 DOI:

Original Articles

Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K

KANG Zhi-Ru^1,2;FU Guang-Sheng¹,K. D. Hill³

¹College of Physics Technology, Hebei University, Baoding 071002 ²Hebei Provincial Institute of Metrology, Shijiazhuang 050051 ³National Research Council of Canada, Ottawa, Canada

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KANG Zhi-Ru, FU Guang-Sheng, K. D. Hill 2005 Chin. Phys. Lett. 22 558-560

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Abstract 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 13.8033K to 933.473K. 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.

Keywords: 05.70.Ce 06.20.Fn 06.20.Dk

Published: 01 March 2005

PACS:	05.70.Ce	(Thermodynamic functions and equations of state)
	06.20.Fn
	06.20.Dk	(Measurement and error theory)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I3/0558

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