<content> <p> plot(data,char,size,clr)</p> </content>

9107a3ef-b462-4589-b7f9-1d45b0236344 32 4 5 false false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

Ucertainty on vector of μ & σ

x Γ x Gamma :

vy 25.527 25.51 25.512 25.511 25.511 25.508 25.487 25.501 81 mat :

vy incertitude n vy length : u vy StdDev n sqrt / n 1 - 2 / Γ n 1 - sqrt * n 2 / Γ 2 sqrt * / * : 21 line :

MCD 0.00418 vy incertitude 0.00413

vy Mean 25.508375

vy Mean 0.00413 ± + 25.5125 25.50424 21 sys

incertitude sur N mesures ayant σ

N 10 :

σ 0.5 :

σ U 2 N 1 - / sqrt N 2 / Γ N 1 - 2 / Γ / * σ * (:

σ U 0.4863

σ 0.125 2 0.25 range :

Uσ σ σ U vectorize augment :

Δσ σ σ σ U vectorize - augment :

Δσ o 5 black plot

Δσ 0.125 0.0034 0.25 0.0068 0.375 0.0103 0.5 0.0137 0.625 0.0171 0.75 0.0205 0.875 0.0239 1 0.0273 1.125 0.0308 1.25 0.0342 1.375 0.0376 1.5 0.041 1.625 0.0444 1.75 0.0478 1.875 0.0513 2 0.0547 162 mat

Engineering Composite Uncertainty ...otherwise expressing "error propagation" Σ sqrt

EXAMPLE type J T/C [Thermocouple]
1. Grade 1 "J" @ 500 °C ± 0.5 °C
2. Extension wiring ± 0.5 °C
3. XTR [Transmitter] ± 0.25 °C
=====================
ISO5167 orifice plate ...
otherwise stated ± 0.6% of readng
± 0.6% from immensely involved.

T_hr 1 :

100100 0.6 * % * + 100100 0.6 * % * - 21 mat T_hr 100.6 99.4 21 mat

TC 0.5 2^0.5 2^+ 0.25 2^+ sqrt ± : 0.75 0.75 - 21 sys

°C 1 :

Δ TC sys2mat : °C 0.75 0.75 - 21 mat

Bracket of Uncertainty ... @ 500 °C lecture. 500 Δ + (°C 500.75 499.25 21 mat

Don't forget eval(▪)

vy 25.527 25.51 25.512 25.511 25.511 25.508 25.487 25.501 81 mat :

yv vy reverse eval :

x Γ x Gamma :

V incertitude n V length : u V StdDev n sqrt / n 1 - 2 / Γ n 1 - sqrt * n 2 / Γ 2 sqrt * / * : 21 line :

vy incertitude yv incertitude 21 mat 0.0041 0.0041 21 mat

vy StdDev yv StdDev 21 mat 0.0113 0.0113 21 mat

vy Mean yv Mean 21 mat 25.5084 25.5084 21 mat

Otherwise stated ... undocumented
► rhmsd between two vectors

data 25.527 25.501 25.51 25.487 25.512 25.508 25.511 25.511 25.511 25.511 25.508 25.512 25.487 25.51 25.501 25.527 82 mat :

Many Engineering works require
an additional safety factor ...
generally 15 % [pump/motor].
► rhmsd between two vectors
may be a possible candidate
... Here, just demo.

x data 1 col : y data 2 col : 12 mat

% 1 :

x y rhmsd ε vy incertitude : j 1 x rows range d j el x j el y j el - : d2 j el d j el d j el * ε + (1 -^: 21 line for d2 Mean (1 -^sqrt 31 line :

x y rhmsd y incertitude / % 16

x y rhmsd 0.0664

x Mean 25.5084

x Mean x y rhmsd ± sys2mat 25.5748 25.442 21 mat

Associate uncertainty with units ...

v 6.89 6.825 6.2338 6.2089 6.9081 6.8805 6.2502 6.2252 7.1232 7.0948 6.4448 6.4191 7.1426 7.1141 6.4623 6.4365 161 mat :

x Γ x Gamma :

V incertitude n V length : u V StdDev n sqrt / n 1 - 2 / Γ n 1 - sqrt * n 2 / Γ 2 sqrt * / * : 21 line :

silent'm :

v Mean silent * v incertitude silent * v Mean v incertitude ± (silent * 31 mat 6.6662'm * 0.0921'm * 6.7583'm * 6.5741'm * 21 sys 31 mat

Δv v Min v Max at (silent * 0.9337'm *

v v 5 v rows 5 - (range 11 range el :

v Mean silent * v incertitude silent * v Mean v incertitude ± (silent * 31 mat 6.7038'm * 0.1529'm * 6.8567'm * 6.5509'm * 21 sys 31 mat

Δv v Min v Max at (silent * 0.898'm *

=======================================================

Ω 1 :

v Mean Ω * v incertitude Ω * v Mean v incertitude ± (Ω * 31 mat Ω 6.7038 0.1529 6.8567 6.5509 21 sys 31 mat

Δv v Min v Max at (Ω 0.898

v v 3 v rows 3 - (range 11 range el :

v Mean Ω * v incertitude Ω * v Mean v incertitude ± (Ω * 31 mat Ω 6.2377 0.0157 6.2534 6.222 21 sys 31 mat

Δv v Min v Max at (Ω 0.025

b 2.1111111 :

a π :

α π :

β 2 sqrt :

last decimal NOT true a b * 6.6322511

closely true α β * 4.44288293815837

The least accurate numerical . . . Division

incertitude sur N experimental measures

x Γ x Gamma :

N U 2 N 1 - / sqrt N 2 / Γ N 1 - 2 / Γ / * (:

10 U 5 U 2 U 31 mat 0.973 0.94 0.798 31 mat