Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K
KANG Zhi-Ru1,2, 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
Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K
KANG Zhi-Ru1,2;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
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.
KANG Zhi-Ru;FU Guang-Sheng;K. D. Hill. Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K[J]. 中国物理快报, 2005, 22(3): 558-560.
KANG Zhi-Ru, FU Guang-Sheng, K. D. Hill. Equations of Propagation of Uncertainty on the ITS-90 in the Sub-ranges from 13.8033K to 933.473K. Chin. Phys. Lett., 2005, 22(3): 558-560.
2005, Vol. 22 
