2
3
4
5
6
7
8
9
10
11
12
13
14
15
,
16
,
17
,
18
,
19
20
21
22
23
[(ln (x_{1} / x_{2}))^{2} / (x_{3} − x_{4})^{4}][u^{2}(x_{3}) + u^{2}(x_{4})]
24
,
(u(y) / y)^{2} = (D_{1}u(x_{1}) / x_{1})^{2} + (D_{2}u(x_{2}) / x_{2})^{2} + (u(a)/a)^{2} + (D_{1}u(b)/b)^{2} + (D_{2}u(c) / c)^{2}
25
Notes:
^{1.}A, B, C, D, D_{1}, D_{2} and N (all upper case) are constants with no uncertainty. They may be integers such as 2 or 3, a decimal number, a mathematical constant such as π, negative or positive.
^{2.}e is Euler’s number and e^{x} is the exponential function. The value of e is approximately 2.7183.
^{3.}log_{10}e is approximately 0.4343.
^{4.}a, b, c, w, w_{1} and w_{2} (all lower case) are uncorrelated (measured) variables with random uncertainty components.
^{5.}x, x_{1}, x_{2}, x_{3}, …, x_{n} are all uncorrelated (measured) variables with random uncertainty components.