ListCollect(data,select)

5aa4475e-fd2f-4e76-917c-157e02449dff 31 9 12 decimal

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

data select ListCollect collects index list ct 1 : i select a ct el data i 1 el : b ct el data i 2 el : ct ct 1 + : 31 line for a b augment 41 line :

data inverse NASA(h)

data 060000 0.5 35462130747 1.5 28072 2.1 26217 2.6 24905 3.1 23755 3.6 22781 4.1 21937 4.6 21192 5.1 20524 5.6 19921 6.1 19369 6.6 18861 7.1 18391 7.6 17954 8.1 17544 8.6 17159 9.1 16796 9.7 16453 10.2 16127 10.7 15817 11.2 15521 11.7 15239 12.2 14969 12.7 14709 13.2 14460 13.7 14220 14.2 13989 14.7 13766 15.2 13550 15.7 13342 16.2 13140 16.7 12944 17.2 12754 17.8 12570 18.3 12391 18.8 12217 19.3 12047 19.8 11882 20.3 11721 20.8 11564 21.3 11410 21.8 11261 22.3 11115 22.8 10969 23.3 10829 23.8 10691 24.3 10556 24.8 10423 25.4 10293 25.9 10164 26.4 10037 26.9 9913 27.4 9790 27.9 9669 28.4 9550 28.9 9433 29.4 9317 29.9 9203 30.4 9090 30.9 8979 31.4 8869 31.9 8761 32.4 8654 32.9 8549 33.5 8444348342 34.5 8240358139 35.5 8040367942 36.5 7845377749 37.5 7654387560 38.5 7467397375 39.5 7284407194 40.5 7105 41.1 7017 41.6 6930 42.1 6843 42.6 6758 43.1 6673 43.6 6589 44.1 6506 44.6 6423 45.1 6342 45.6 6261 46.1 6180 46.6 6101 47.1 6022 47.6 5944 48.1 5867 48.7 5790 49.2 5714 49.7 5638 50.2 5563 50.7 5489 51.2 5415 51.7 5342 52.2 5270 52.7 5198 53.2 5126 53.7 5055 54.2 4985 54.7 4915 55.2 4846 55.7 4777 56.2 4709 56.8 4641 57.3 4574 57.8 4507 58.3 4441 58.8 4375 59.3 4310 59.8 4245 60.3 4180 60.8 4116 61.3 4053 61.8 3989 62.3 3927 62.8 3864 63.3 3802 63.8 3741 64.4 3680 64.9 3619 65.4 3558 65.9 3498 66.4 3439 66.9 3379 67.4 3321 67.9 3262 68.4 3204 68.9 3146 69.4 3088 69.9 3031 70.4 2974 70.9 2918 71.4 2862 71.9 2806 72.5 2750732695 73.5 2640742585 74.5 2531752477 75.5 2423762370 76.5 2317772264 77.5 2211782159 78.5 2107792055 79.5 2004 80.1 1953 80.6 1902 81.1 1851 81.6 1801 82.1 1750 82.6 1700 83.1 1651 83.6 1601 84.1 1552 84.6 1503 85.1 1454 85.6 1406 86.1 1358 86.6 1309 87.1 1262 87.6 1214 88.2 1167 88.7 1120 89.2 1073 89.7 1026 90.2 979 90.7 933 91.2 887 91.7 841 92.2 796 92.7 750 93.2 705 93.7 660 94.2 615 94.7 570 95.2 526 95.8 481 96.3 437 96.8 393 97.3 350 97.8 306 98.3 263 98.8 220 99.3 177 99.8 134 100.3 91 100.8 49 101.3 62012 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 :

Thiele Table

1. Thiele Table ... Thiele(X,Y,Δ) => 'K'

X Y Δ Thiele ε 1018 -^: n X rows : i 1 n range M i 1 el Y i el : for j 2 n range i j n range dM M i j 1 - el M j 1 - j 1 - el - : dM dM abs ε < ε M i j el X i el X j 1 - el - dM / : if : 21 line for for i 1 n range c i 1 el X i el : c i 2 el M i i el : 21 line for Δ 0 ≡ c M if 61 line :

Cfr(j,K,X,x)

j K X x Cfr Optimiz Symbolic j rows(K)-2 N j 1 + el K j 1 + el x X j 1 + el - K j 2 + el / + : c j el N j 1 + el : a j el K j el x X j el - c j el / + : jj j 1 - (1 range c jj el a jj 1 + el : a jj el K jj el x X jj el - c jj el / + : 21 line for a 1 el 71 line :

data rows 201

Select the support points select 123581116 mat :

XY data select ListCollect :

X XY 1 col : Y XY 2 col : Kvec X Y 0 Thiele : 31 line

X Kvec 1 col : K Kvec 2 col : 21 line

Support points XY 060000 0.5 35462130747 2.1 26217 3.6 22781 5.1 2052462 mat

Thiele 'K' convergents Kvec 060000 0.5 0.00002 - 1 36210.972809 - 2.1 0.000529 - 3.6 23743.116255 - 5.1 0.000439 62 mat

XY 060000 0.5 35462130747 2.1 26217 3.6 22781 5.1 2052462 mat

data 060000 0.5 35462130747 1.5 28072 2.1 26217 2.6 24905 3.1 23755 3.6 22781 4.1 21937 4.6 21192 5.1 20524 5.6 19921 6.1 19369 6.6 18861 7.1 18391 7.6 17954 8.1 17544 8.6 17159 9.1 16796 9.7 16453 10.2 16127 10.7 15817 11.2 15521232 mat

Low XY o 5 black plot :

Thiele 'K' convergents Kvec 060000 0.5 0.00002 - 1 36210.972809 - 2.1 0.000529 - 3.6 23743.116255 - 5.1 0.000439 62 mat

K 60000 0.00002 - 36210.972809 - 0.000529 - 23743.116255 - 0.000439 61 mat

Activate Thiele

K 60000 0.00002 - 36210.972809 - 0.000529 - 23743.116255 - 0.000439 61 mat :

j Kvec rows 2 - :

j 4

x q j K X x Cfr :

maple

x q confrac x convert maple 100000 x * 11 / - 9513211975065512420000000 / - 138425889718438301302680091265153240000000000000000000 x 696966072672494746176694999406169988865685531127914656965052825429245188086000000000000 / - 1080010075616997100426218171142455521696061634053721125805151791981586329917326913142473898725132109122285466821499636119346254080428887845000000000000000000000 x 4776576054965717268665978840469760745772563442402193301875975557245650000000000 / + (* / + (* / -

x J_Frac 0.015326494 x * - 4.151357199 + 338.252073024 x 16.217057959 + 796.264182051 x 38.608311339 - / + / - :

View/export Thiele continued fraction from symbolic expansion ... optimiz NONE x q 60000 x 0 - 150000 / - x 12 / - 362109728091000000 / - x 1 - 5291000000 / - x 2110 / - 4748623251200000 / - x 185 / - 4391000000 / / + / + / + / + / +

x Φ 10 x ≤ (x 6 ≤ (& cases :

6 25000 6 20000 - 2 2 mat x q x Φ * Low 3 1 sys

Accepted function

data inverse NASA(h)

data 060000 0.5 35462130747 1.5 28072 2.1 26217 2.6 24905 3.1 23755 3.6 22781 4.1 21937 4.6 21192 5.1 20524 5.6 19921 6.1 19369 6.6 18861 7.1 18391 7.6 17954 8.1 17544 8.6 17159 9.1 16796 9.7 16453 10.2 16127 10.7 15817 11.2 15521 11.7 15239 12.2 14969 12.7 14709 13.2 14460 13.7 14220 14.2 13989 14.7 13766 15.2 13550 15.7 13342 16.2 13140 16.7 12944 17.2 12754 17.8 12570 18.3 12391 18.8 12217 19.3 12047 19.8 11882 20.3 11721 20.8 11564 21.3 11410 21.8 11261 22.3 11115 22.8 10969 23.3 10829 23.8 10691 24.3 10556 24.8 10423 25.4 10293 25.9 10164 26.4 10037 26.9 9913 27.4 9790 27.9 9669 28.4 9550 28.9 9433 29.4 9317 29.9 9203 30.4 9090 30.9 8979 31.4 8869 31.9 8761 32.4 8654 32.9 8549 33.5 8444348342 34.5 8240358139 35.5 8040367942 36.5 7845377749 37.5 7654387560 38.5 7467397375 39.5 7284407194 40.5 7105 41.1 7017 41.6 6930 42.1 6843 42.6 6758 43.1 6673 43.6 6589 44.1 6506 44.6 6423 45.1 6342 45.6 6261 46.1 6180 46.6 6101 47.1 6022 47.6 5944 48.1 5867 48.7 5790 49.2 5714 49.7 5638 50.2 5563 50.7 5489 51.2 5415 51.7 5342 52.2 5270 52.7 5198 53.2 5126 53.7 5055 54.2 4985 54.7 4915 55.2 4846 55.7 4777 56.2 4709 56.8 4641 57.3 4574 57.8 4507 58.3 4441 58.8 4375 59.3 4310 59.8 4245 60.3 4180 60.8 4116 61.3 4053 61.8 3989 62.3 3927 62.8 3864 63.3 3802 63.8 3741 64.4 3680 64.9 3619 65.4 3558 65.9 3498 66.4 3439 66.9 3379 67.4 3321 67.9 3262 68.4 3204 68.9 3146 69.4 3088 69.9 3031 70.4 2974 70.9 2918 71.4 2862 71.9 2806 72.5 2750732695 73.5 2640742585 74.5 2531752477 75.5 2423762370 76.5 2317772264 77.5 2211782159 78.5 2107792055 79.5 2004 80.1 1953 80.6 1902 81.1 1851 81.6 1801 82.1 1750 82.6 1700 83.1 1651 83.6 1601 84.1 1552 84.6 1503 85.1 1454 85.6 1406 86.1 1358 86.6 1309 87.1 1262 87.6 1214 88.2 1167 88.7 1120 89.2 1073 89.7 1026 90.2 979 90.7 933 91.2 887 91.7 841 92.2 796 92.7 750 93.2 705 93.7 660 94.2 615 94.7 570 95.2 526 95.8 481 96.3 437 96.8 393 97.3 350 97.8 306 98.3 263 98.8 220 99.3 177 99.8 134 100.3 91 100.8 49 101.3 62012 mat :

Select the support points select 122030456510015020118 mat :

XY data select ListCollect :

XY 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 682 mat

X XY 1 col : Y XY 2 col : Kvec X Y 0 Thiele : 31 line

X Kvec 1 col : K Kvec 2 col : 21 line

Support points XY 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 682 mat

Thiele 'K' convergents Kvec 5.6 19921 9.7 0.001182 - 14.7 16878.481173 - 22.3 0.009951 - 32.4 6716.886189 50.2 0.001406 75.5 29437.37289 - 101.3 0.050452 - 82 mat

K 19921 0.001182 - 16878.481173 - 0.009951 - 6716.886189 0.001406 29437.37289 - 0.050452 - 81 mat

K 19921 0.001182 - 16878.481173 - 0.009951 - 6716.886189 0.001406 29437.37289 - 0.050452 - 81 mat :

Activate Thiele

j Kvec rows 2 - :

j 6

x g j K X x Cfr :

x c 14 x ≤ (x 101.5 ≤ (& cases :

support XY . 14 black plot :

x Φ 10 x ≤ (x 6 ≤ (& cases :

x q x Φ * x g x c * support Low 4 1 sys maple confrac

x q confrac x convert maple 100000 x * 11 / - 9513211975065512420000000 / - 138425889718438301302680091265153240000000000000000000 x 696966072672494746176694999406169988865685531127914656965052825429245188086000000000000 / - 1080010075616997100426218171142455521696061634053721125805151791981586329917326913142473898725132109122285466821499636119346254080428887845000000000000000000000 x 4776576054965717268665978840469760745772563442402193301875975557245650000000000 / + (* / + (* / -

x g confrac x convert maple 1000000 x * 60179 / - 429725671410218191933621512041000000 / - 310261676814762953969147124350069766863108969486557669500000000000000000 x 10475688632606503526890061304806077430017907617911484832379335618724517809903454652398131424250024238500000000000 / + 22593729139251129570260611243931324369245378272476706106803286190703095745183044366918375838491114068736016394256244275996637221833962291810048470713915527781862671605969698303798062500000000000000000000 x 1420990613962313996441432278805227177942120496820781327099863948127363364068999586151040675271819941259772484626431332884071255174074779720620324209187879500571751970600538049716928993918279364384652381492567866502429717220457451118280531658269875450501713913457987929741172069386825500000000000 / + 1395046396599595388517296811984643239773041858766613757704856534058304390527173532278335183974669899908190974569894549652767327956450758867130423679171668609552577155768219360086120312262964098052605356558032864788428734552733765569312024530274037527598328576922444045802967697083479810073467563506249964618870967020511585781018071494496511928957198993482459991372453960690731347678405257611158335017578125000000000 x 28347807289599460749316899664992184411673175779978855774528789735178385587295428863261381132866802280208818930277587374080136155979568539785505994810881773243032087073679370929275705413050483957237036511925000000000 / - (* / - (* / - (* / +

100000 x * 11 / - 393107.933 - 26000354.9433581 x 61.79244754 - 0.821770759 x 0.18633444 + / + / -

1000000 x * 60179 / - 11865.9186148 - 2847234.45632245 x 112.212044448 + 375.536046625 x 7.563308448 + 0.048696315 x 9.362637432 - / - / - / +

x NASA_m 100000 x * 11 / - 393107.933 - 26000354.94 x 61.7924475 - 0.82177 x 0.186334 + / + / - 0 x ≤ (x 5.1 ≤ (& 1000000 x * 60179 / - 11865.9186 - 2847234.46 x 112.212 + 375.53605 x 7.56330845 + 0.0486963 x 9.36264 - / - / - / + cases :

N 060000 0.5 35462130747 2.1 26217 3.6 22781 5.1 20524 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 6142 mat :

x q 100000 x * 11 / - 393107.933 - 26000354.94 x 61.7924475 - 0.82177 x 0.186334 + / + / - : x g 1000000 x * 60179 / - 11865.9186 - 2847234.46 x 112.212 + 375.53605 x 7.56330845 + 0.0486963 x 9.36264 - / - / - / + : 21 sys

x Φ 10 x ≤ (x 6 ≤ (& cases :

x c 14 x ≤ (x 101.5 ≤ (& cases :

altitude N . 14 black plot :

x q x Φ * x g x c * altitude 3 1 sys

pointer 10 - 5000072500007250000 b b NASA_m 42 mat :

barometric kPa b 40 :

x n 10 x ≤ (x 101.5 ≤ (& cases :

pointer x NASA_m x n * altitude b b NASA_m + 40 blue 1 5 mat 4 1 sys

support pts 060000 0.5 35462130747 2.1 26217 3.6 22781 5.1 20524 5.6 19921 9.7 16453 14.7 13766 22.3 11115 32.4 8654 50.2 5563 75.5 2423 101.3 6142 mat

altitude [m] ... [b kPa] b b NASA_m 12 mat 40719912 mat

LOWEST ever recorded pressure on Earth 87kPa /870 mbar / 652.53 mmHg /25.69 inHg 12 October 1979 Typhoon Tip, W. Pacific Ocean Largest, most intense tropical cyclone on record Peak width: 2,200 km / 1,380 miles Peak winds: 305 km/h or 190 mph ======================================================================== HIGHEST ever recorded pressure on Earth Most common official citation: 108.38kPa /1083.8 mbar / 812.92mmHg / 32.01 inHg Alternative citation that is currently uncertified : 108.57 kPa/ 1085.7 mbar/ 814.32 mmHg /32.06 inHg 31 December 1968 ... Agata Lake, N. Siberia 19 December 2001 ... Tosontsengel, Mongolia Clear and extreme cold -46C/-50.8F

http://www.barometricpressureheadache.com/barometer-calibration/