plot(data,char,size,color)

23ac2899-359e-4979-ba3e-6a9cb52d3687 18 9 12 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 :

h NASA 101.29 288.14 0.00649 h * - 288.08 / (5.256^* 1000 - h ≤ (h 11000 ≤ (& 22.65 1.73 0.000157 h * - exp * 11000 h ≤ (h 25000 ≤ (& 2.488 141.89 0.00299 h * + 216.6 / (11.388 -^* 25000 h ≤ (h 60000 ≤ (& cases :

Explain this document . . .

1. data is list-select from the discrete solved NASA(h).

2. list-select was used for Thiele continued fractions.

3. The two J_fractions collected from Mathcad 11,

α, β from the J_Frac GenfitMatrix.

4. Enter kPa . . . read altitude [m]

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Low altitude [0 . . . 20 km]

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data 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 0132 mat :

XY data 410 range 12 range el :

4039.94330884 56420799.5376 - 13533.9529524 8.91184650205 0.589576126341 763711578939 39.7972781302 5.25172979821 81 mat

β 909.3 3358917 - 3238.9345 8.9315 0.59215 10907209250 158.368 5.259 81 mat :

x β J22781 β 1 el x * β 2 el + β 6 el x β 3 el + β 7 el x β 4 el + β 8 el x β 5 el + / - / - / + :

XY data 513 range 12 range el : X XY 1 col : Y XY 2 col : 12 mat 21 sys

Absolute  residuals δ22781 j 1 XY rows range Δ j el Y j el X j el β J22781 - eval : for X Y Δ 0 round vectorize augment 21 line :

δ22781 3.6 227811 5.6 199218 - 9.7 1645318 14.7 1376621 - 22.3 111154 32.4 86547 50.2 55638 - 75.5 24232 101.3 03 - 93 mat

909.298519 3358917.34643 - 3238.93450251 8.93151864013 0.59214773265 10907209250 158.368243931 5.25908057504 81 mat

High altitude [20 . . . 60 km]

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α 172.915964605 789.761138489 8.81170654825 0.365358854595 256651.148563 1.63576165685 61 mat :

x α J60000 α 1 el x * α 2 el + α 5 el x α 3 el + α 6 el x α 4 el + / - / + :

XY data 16 range 12 range el : X XY 1 col : Y XY 2 col : 12 mat 21 sys

Absolute  residuals δ60000 j 1 XY rows range Δ j el Y j el X j el α J60000 - eval : for X Y Δ 0 round vectorize augment 21 line :

δ60000 0600000 0.5 35462313074712 - 2.1 2621721 3.6 2278120 - 5.6 19921963 mat

x j1 10 x ≤ (x 3.6 ≤ (& cases : x j2 1 3.6 x ≤ (x 101.325 ≤ (& cases : support data o 5 black plot : 31 sys

x α J60000 x j1 * x β J22781 x j2 * support 3.6 22781 + 40 black 1 5 mat 4 1 sys

kPa alt[m] Δ 0600000 0.5 35462313074712 - 2.1 2621721 3.6 227811 5.6 199218 - 9.7 1645318 14.7 1376621 - 22.3 111154 32.4 86547 50.2 55638 - 75.5 24232 101.3 63 - 143 mat

kPa altitude kPa α J60000 0 kPa ≤ (kPa 5.6 ≤ (& kPa β J22781 cases :

kPa

metres

kPa ... m 30 altitude 9163

m ... kPa 11000 NASA 22.71

λ 60137 3.284 67929 - 0.2311 0.2312 51 mat :

x λ f λ 1 el λ 2 el * λ 3 el x λ 4 el^* + λ 2 el x λ 4 el^+ / :

x c 10 x ≤ (x 101.325 ≤ (& cases :

60137.44175013767 3.284159436996305 67929.17021044476 - 0.2291545800045079 41 mat

XY data : X XY 1 col : Y XY 2 col : 12 mat 21 sys

Absolute  residuals δ j 1 XY rows range Δ j el Y j el X j el λ f - eval : for X Y Δ 0 round vectorize augment 21 line :

support x λ f x c * 2 1 sys

δ 060000137 - 0.5 354621706130747504 2.1 2621781 3.6 22781155 - 5.6 19921263 - 9.7 16453161 - 14.7 1376647 - 22.3 11115186 32.4 8654366 50.2 5563425 75.5 2423262 101.3 00133 mat

plot(data,char,size,color)

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 :

data 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 0132 mat :

support data o 5 black plot :

X data 1 col :

Y data 2 col :

V X Y * vectorize :

N X V augment :

V X Y * vectorize : 01773130747 55055.7 82011.6 111557.6 159594.1 202360.2 247864.5 280389.6 279262.6 182936.5 0131 mat

N 00 0.5 17731130747 2.1 55055.7 3.6 82011.6 5.6 111557.6 9.7 159594.1 14.7 202360.2 22.3 247864.5 32.4 280389.6 50.2 279262.6 75.5 182936.5 101.3 0132 mat

U N o 5 red plot :

support 1 1 sys U