B D Hall 2006 Metrologia 43 L56 doi:10.1088/0026-1394/43/6/N07
B D Hall
Show affiliationsA computational method for processing measurement data is discussed that applies the law of propagation of uncertainty, which is described in the Guide to the Expression of Uncertainty in Measurement. The method introduces the notion of an 'uncertain number', which is an entity that encapsulates information about the value and uncertainty of a quantity. Basic mathematical operations can be defined for uncertain numbers so that relationships between quantities can be expressed in a familiar way. Uncertain number equations can be arbitrarily combined, or decomposed into expressions for intermediate results, providing flexibility and convenience for automatic data processing while rigorously supporting uncertainty propagation. A geometrical description of simple uncertain number operations is also given.
Issue 6 (December 2006)
Received 20 February 2006
Published 30 November 2006
B D Hall 2006 Metrologia 43 L56
Yanping Cao et al 2008 Nonlinearity 21 879
Theodore Choi et al 2009 New J. Phys. 11 013005
T Hacklander et al 1988 Phys. Med. Biol. 33 53
N Buric et al 1997 J. Phys. A: Math. Gen. 30 L161
Gideon Alexander 2003 Rep. Prog. Phys. 66 481
F Schiller et al 2008 New J. Phys. 10 113017
Peter J Cumpson et al 2004 Meas. Sci. Technol. 15 1337
D A Korotkin 1991 Class. Quantum Grav. 8 L219
K Rajesh Nayak et al 2003 Class. Quantum Grav. 20 1217