Equation 3 · Part 5 · How Scientific Instruments and Metrology Actually Work
Symbol x_N
What this part means
is an input to the expression that computes the quantity on the left.
Its job in the formula
is an input to the expression that computes the quantity on the left.
Full expression→Symbol x_N→Article meaning
The passage around this formula
The GUM’s central move is to treat every measured or estimated quantity a result depends on as a random variable with its own estimated standard uncertainty, and then to propagate those uncertainties through the mathematical relationship that produces the final result. If a measurement result y is a function of N input quantities, y = f(, , , ) , the combined standard uncertainty is obtained from a first-order Taylor expansion of that function:
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
See this notation across published equations →
Sources cited in the article section
- [2] Evaluation of measurement data — Guide to the expression of uncertainty in measurement (GUM), JCGM 100:2008 ↗
- [3] Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results ↗
These citations provide research context; check each source for the exact claim it supports.