Plot

19bca3ce-89d1-4fb9-91de-7c93a98884c5 3 4 5 decimal

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

Plot

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 :

Square Minimun Function

T X Y Order f T 1 ≡ m Order 1 + : m 2 : if n X rows : 12 mat i 1 m range j 1 m range con i 1 - (j 1 - (+ : i 1 ≡ (j 1 ≡ (& A i j el n : 11 line T 1 ≡ (T 2 ≡ (| A i j el X k el (con^k 1 n sum : A i j el X k el ln (con^k 1 n sum : if if 21 line for for i 1 m range i 1 ≡ B i el Y k el k 1 n sum : B i el X k el (i 1 -^Y k el * k 1 n sum : if T 1 ≡ i 1 ≡ B i el Y k el ln k 1 n sum : B i el X k el (Y k el ln * k 1 n sum : if T 2 ≡ i 1 ≡ B i el Y k el ln k 1 n sum : B i el X k el ln Y k el ln * k 1 n sum : if cases for i 1 m range φ i el 1 : i 1 ≡ φ i el x (i 1 -^: cases for T 1 ≡ φ 1 el x : 11 line T 2 ≡ (T 3 ≡ (| cases β A 1 -^B * : ff 0 : i 1 m range ff ff β i el φ i el * + : for ff 31 line T 1 ≡ ff β 1 el exp β 2 el φ 1 el * exp * : T 2 ≡ ff β 1 el exp φ 1 el (β 2 el^* : T 3 ≡ cases ff 71 line :

Last Square Function

f( x )=f ( T , X , Y , Order)

| | | |__ Power

| | |__________ Y Data

| |_______________ X Data

|___________________ Type of

Adjustment

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T=1 Polynomic adjusment for Square Minimums method

T=3 Potential adjusment for Square Minimums method

Order= Power to which the function is rising.

Order=1 if T=2 or T=3

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P.0 760 : g 9.807 : k 1.381 1023 -^* : m 4.81556658 1026 -^* : mmHg 0.133322 kPa * ≡ 51 sys

NASA 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 101.325 0132 mat :

Poly 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.6 16453 14.5 13766 21.6 11115 30.9 8654 47.9 5563 73.6 2423 101.3 0132 mat :

altitude P x augment : support NASA o 5 black plot : Poly Poly . 14 blue plot : 31 sys

NASA.P NASA 1 col :

NASA.Alt NASA 2 col :

i 1 NASA.P rows range NASA.pmmHg i el NASA.P i el 0.133322 / : for

NASA.pmmHg 0 3.7503 7.5006 15.7513 27.0023 42.0036 72.7562 110.2594 167.2642 243.0207 376.532 566.2981 760.0021 131 mat

Temperature  Barometric Formula p h T m - (g * h * p ln P.0 ln - (k * / :

i 1 NASA.pmmHg rows (range T.NASA i el 100.8 : NASA.pmmHg i el 0 ≡ T.NASA i el NASA.pmmHg i el NASA.Alt i el T : NASA.pmmHg i el 0 > (NASA.pmmHg i el 760 < (& T.NASA i el 288.15 : cases for

T.NASA 100.8 228.3167 227.671 231.2837 233.429 235.2707 239.811 243.855 251.1002 259.5592 270.8737 281.6462 288.15 131 mat

X NASA.Alt : Y T.NASA : 12 mat

T 1 :

Order 4 :

x Temp T X Y Order f :

Polynomic

x Temp 34792205166708700120210431291291 / 720928401841255194047954381219000 / - (x 21 -^* + 8038497844592651389263513618350000000000 / - (x 31 -^* + 1639370236323447564508087896000000000 / x 41 -^* + 59840855491814510274372277018300000000000000000 / - (x 51 -^* +

XY X Y augment :

T_VS_ALT XY o 5 black plot :

XY T_VS_ALT x Temp 3 1 sys

h P1.h P.0 e m g * h * k TT * / -^* mmHg * :

4 appVersion 0.98.6179.21440

Barometric Formula h P.h P.0 e m g * h * k h Temp * / -^* mmHg * :

P.0 760 : g 9.807 : k 1.381 1023 -^* : m 4.81556658 1026 -^* : mmHg 0.133322 kPa * ≡ 51 sys

NASA 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 101.325 0132 mat :

Poly 060000 0.5 35462130747 2.1 26217 3.6 22781 5.6 19921 9.6 16453 14.5 13766 21.6 11115 30.9 8654 47.9 5563 73.6 2423 101.3 0132 mat :

x 0600001000 range :

i 1 x length range P i el x i el P.h mmHg / 0.133322 * : 11 line for

altitude P x augment : support NASA o 5 black plot : Poly Poly . 14 blue plot : 31 sys

support altitude Poly 3 1 sys

Carlos Barometric Formula . . .

based on Polynomic °K gradient compensation

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TT 100.8 :

60000 P1.h 1.0979 106 -^* mmHg *

Absolute  residuals wrt NASA data δ Δ 0 : X NASA 2 col : Y NASA 1 col : 12 mat j 1 NASA rows range Δ j el Y j el X j el P.h mmHg / 0.133322 * - : for X Y Δ 2 round vectorize augment 41 line :

δ 600000035462 0.5 0307471 0.03 - 26217 2.1 0.04 22781 3.6 0.07 19921 5.6 0.02 16453 9.7 0.04 - 13766 14.7 0.21 - 11115 22.3 0.15 - 8654 32.4 0.04 5563 50.2 0.2 2423 75.5 0.09 0 101.325 0133 mat

600000 0.01 - 35462 0.5 0307471 0.04 - 26217 2.1 0.01 - 22781 3.6 0.02 - 19921 5.6 0.05 - 16453 9.7 0.05 13766 14.7 0.19 11115 22.3 0.75 8654 32.4 1.52 5563 50.2 2.3 2423 75.5 1.87 0 101.325 0133 mat

kPa 1 :

0 P.h 0.133322 * mmHg / kPa 101.325