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. 2013 Oct 24;13(11):14367–14397. doi: 10.3390/s131114367

Table 11.

Uncertainty budget − Vision System method − d = 0.1 kg/m3.

Uncertainty budget-Vision System

Ci Std. Unc. Contrib. (kg/m3) Variance (kg2/m3) %
δρx/δρL= 1.047423126 1.06E–02 0.0111 1.240E–04 43.60
δρx/δρa1= −0.047412335
δρx/δma= −344.9478424
δρx/δmL= 7609.353397
δρx/δtL= 0.007970356 0.01 0.0001 6.353E–09 0.00
δρx/δta= 1.92823E−05 0.2 0.0000 1.487E–11 0.00
δρx/δγL= −11.73174157 1.05E–03 −0.0123 1.517E–04 53.36
δρx/δd= 1 0.002886751 0.0029 8.333E06 2.93
δma/δmp1= 0.999879272 3.35E–08 0.0000 1.335E–10 0.00
δma/δρa1= −0.00001396 0.00077023 0.0000 1.334E–09 0.00
δma/δρp1= 1.69E−09 79.31 0.0000 2.126E–09 0.00
δma/δΔm1= 1 2.64155E–07 −0.0001 8.303E–09 0.00
δma/δd= −1 2.88675E–08 0.0000 9.916E–11 0.00
δmL/δmp2= 0.999879272 4.50E–08 0.0003 1.172E–07 0.04
δmL/δρa2= −0.000000621 0.000762481 0.0000 1.298E–11 0.00
δmL/δρp2= 7.30987E–11 80.52 0.0000 2.006E–09 0.00
δmL/δΔm2= 1 4.40959E08 0.0003 1.126E–07 0.04
δmL/δd= −1 2.88675E–08 −0.0002 4.825E–08 0.02
δmliq/δCg= 1
δCg/δΔh= −1.57757E–09 0.01 0.0000 1.441E–14 0.00
Unc. (k = 2) 0.034 kg/m3