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Relative uncertainty is the measurement uncertainty relative to the magnitude of a particular single choice for the value for the measured quantity, when this choice is nonzero. This particular single choice is usually called the measured value, which may be optimal in some well-defined sense (e.g., a mean, median, or mode). Thus, the relative ...
Any non-linear differentiable function, (,), of two variables, and , can be expanded as + +. If we take the variance on both sides and use the formula [11] for the variance of a linear combination of variables (+) = + + (,), then we obtain | | + | | +, where is the standard deviation of the function , is the standard deviation of , is the standard deviation of and = is the ...
The uncertainty principle, also known as Heisenberg's indeterminacy principle, is a fundamental concept in quantum mechanics. It states that there is a limit to the precision with which certain pairs of physical properties, such as position and momentum , can be simultaneously known.
The uncertainty on the output is described via uncertainty analysis (represented pdf on the output) and their relative importance is quantified via sensitivity analysis (represented by pie charts showing the proportion that each source of uncertainty contributes to the total uncertainty of the output).
Uncertainty or incertitude refers to situations involving imperfect or unknown information.It applies to predictions of future events, to physical measurements that are already made, or to the unknown, and is particularly relevant for decision-making.
The relative uncertainty, 5 × 10 −8 in the 2006 CODATA recommended value, [6] is due entirely to the uncertainty in the value of the Planck constant. With the re-definition of kilogram in 2019, there is no uncertainty by definition left in Planck constant anymore. The electron relative atomic mass can be measured directly in a Penning trap.
Statements about relative errors are sensitive to addition of constants, but not to multiplication by constants. For absolute errors , the opposite is true: are sensitive to multiplication by constants, but not to addition of constants.
The relative standard uncertainty of ''m''<sub>u</sub> is {{physconst|mu|runc=yes|after=.}} The relative standard uncertainty of m u is 3.1 × 10 −10. [68] For the electron mass, {{physconst|me|runc=yes|symbol=yes|ref=no}}. For the electron mass, u r (m e) = 3.1 × 10 −10. NIST publishes the CODATA value of the [[elementary charge ...