Monster Big

c0f6c94b-4f43-4bad-b33b-8f463c50daff 4 4 5 decimal

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

Monster Big

x Ω 979917963 sqrt 976805841278147717892192673836000000000732604380958609 π * 298756 sqrt * 5331726660328600000000001412749675315020000000000000000001200299017762580000000 x 979917963 sqrt * 298756 sqrt / cos * 2449794907519598359266259799179634780096 π 2^* - (* - (* x 979917963 sqrt * 298756 sqrt / sin * + (* 61244872687597991796319120384 π 2^* - (2^* 73440570030219100000000000 π 2^* + (* 2379367874214770000000000000000001200299017762590000000 x 979917963 sqrt * 298756 sqrt / cos * 24497949075195983592662597991796319120384 π 2^* - (* - (* x 979917963 sqrt * 298756 sqrt / sin * + (* 6124487268759799179634780096 π 2^* - (2^* 18360142507554800000000000 π 2^* + (* + (* 20414957562532663932114340288 π 2^* - (2^* 6120047502518260000000000 π 2^* + (* 12113500905076600000000000000000000000000000000000000004801196071050350000000 x 979917963 sqrt * 298756 sqrt / cos * 244979490757839343704750032663932114340288 π 2^* - (* - (* x 979917963 sqrt * 298756 sqrt / sin * + (* 61244872687597991796319120384 π 2^* - (2^* 73440570030219100000000000 π 2^* + (* 6124487268759799179634780096 π 2^* - (2^* 18360142507554800000000000 π 2^* + (* + (* 8449136938039980000000000000000000000000000000000000000000000000000000000000000000259799179634780096 π 2^* - (* 979917963 sqrt * 4 π * x * sin * 7839343704 π * 298756 sqrt * 4 π * x * cos * - (* e 72636025013021 x * 979917963 sqrt * 1815900625325520298756 sqrt * /^* 20414957562532663932114340288 π 2^* - (2^* 6120047502518260000000000 π 2^* + (* 61244872687597991796319120384 π 2^* - (2^* 73440570030219100000000000 π 2^* + (* + (* 51078479517061300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002597991796319120384 π 2^* - (* 979917963 sqrt * 8 π * x * sin * 15678687408 π * 298756 sqrt * 8 π * x * cos * - (* 6124487268759799179634780096 π 2^* - (2^* 18360142507554800000000000 π 2^* + (* e 72636025013021 x * 979917963 sqrt * 1815900625325520298756 sqrt * /^* 20414957562532663932114340288 π 2^* - (2^* 6120047502518260000000000 π 2^* + (* + (* 3811328671629070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002532663932114340288 π 2^* - (* 979917963 sqrt * 12 π * x * sin * 7839343704 π * 298756 sqrt * 12 π * x * cos * - (* 61244872687597991796319120384 π 2^* - (2^* 73440570030219100000000000 π 2^* + (* 6124487268759799179634780096 π 2^* - (2^* 18360142507554800000000000 π 2^* + (* e 72636025013021 x * 979917963 sqrt * 1815900625325520298756 sqrt * /^* + (* 83156261926452600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000020414957562532663932114340288 π 2^* - (2^* 6120047502518260000000000 π 2^* + (* 61244872687597991796319120384 π 2^* - (2^* 73440570030219100000000000 π 2^* + (* 6124487268759799179634780096 π 2^* - (2^* 18360142507554800000000000 π 2^* + (* e 2179080750390630 x * 979917963 sqrt * 54477018759765600298756 sqrt * /^* / :

L Δ N inc X 0 : i 1 N range X i 1 + el L Δ i * + : X 1 el L : 21 line for X 31 line :

isolated  end use x 01128 / 128 inc :

x x rows row 111 mat

XY x 4 round vectorize 1000 x Ω vectorize * 4 round vectorize augment :

XY XY isolated

XY 00 0.0078 0.0041 0.0156 0.0315 0.0234 0.099 0.0313 0.2127 0.0391 0.3661 0.0469 0.5414 0.0547 0.7125 0.0625 0.8502 0.0703 0.9284 0.0781 0.9293 0.0859 0.8469 0.0938 0.6891 0.1016 0.4765 0.1094 0.2385 0.1172 0.0091 0.125 0.1798 - 0.1328 0.3034 - 0.1406 0.3482 - 0.1484 0.3137 - 0.1563 0.2127 - 0.1641 0.0679 - 0.1719 0.0921 0.1797 0.2381 0.1875 0.3452 0.1953 0.3971 0.2031 0.3882 0.2109 0.3238 0.2188 0.2184 0.2266 0.0924 0.2344 0.0319 - 0.2422 0.1348 - 0.25 0.2023 - 0.2578 0.2282 - 0.2656 0.2147 - 0.2734 0.171 - 0.2813 0.1109 - 0.2891 0.0494 - 0.2969 0 0.3047 0.0283 0.3125 0.0323 0.3203 0.0144 0.3281 0.0181 - 0.3359 0.0553 - 0.3438 0.0876 - 0.3516 0.108 - 0.3594 0.1138 - 0.3672 0.1075 - 0.375 0.0964 - 0.3828 0.0909 - 0.3906 0.1023 - 0.3984 0.1398 - 0.4063 0.2086 - 0.4141 0.3076 - 0.4219 0.4294 - 0.4297 0.5606 - 0.4375 0.6838 - 0.4453 0.7802 - 0.4531 0.8329 - 0.4609 0.8291 - 0.4688 0.7629 - 0.4766 0.6362 - 0.4844 0.4584 - 0.4922 0.245 - 0.5 0.0158 - 0.5078 0.2084 0.5156 0.4087 0.5234 0.5698 0.5313 0.6827 0.5391 0.7443 0.5469 0.7578 0.5547 0.7308 0.5625 0.6739 0.5703 0.5984 0.5781 0.5149 0.5859 0.4315 0.5938 0.3531 0.6016 0.2821 0.6094 0.2186 0.6172 0.1612 0.625 0.1089 0.6328 0.0611 0.6406 0.019 0.6484 0.0152 - 0.6563 0.0383 - 0.6641 0.0469 - 0.6719 0.0391 - 0.6797 0.0145 - 0.6875 0.0245 0.6953 0.0727 0.7031 0.1231 0.7109 0.1672 0.7188 0.1969 0.7266 0.2054 0.7344 0.1889 0.7422 0.1473 0.75 0.0844 0.7578 0.0072 0.7656 0.0743 - 0.7734 0.1494 - 0.7813 0.2081 - 0.7891 0.2425 - 0.7969 0.2482 - 0.8047 0.2249 - 0.8125 0.1768 - 0.8203 0.1116 - 0.8281 0.0394 - 0.8359 0.0284 0.8438 0.0812 0.8516 0.1103 0.8594 0.1099 0.8672 0.0781 0.875 0.0165 0.8828 0.07 - 0.8906 0.1742 - 0.8984 0.2874 - 0.9063 0.4005 - 0.9141 0.5052 - 0.9219 0.5942 - 0.9297 0.6618 - 0.9375 0.704 - 0.9453 0.7184 - 0.9531 0.7039 - 0.9609 0.6603 - 0.9688 0.5884 - 0.9766 0.49 - 0.9844 0.3677 - 0.9922 0.2256 - 1 0.0689 - 1292 mat :

X XY 1 col :

Y XY 2 col :

t0 1 time :

data spec pts i 1 data rows range p i el a b c spec : for Unest 'p' v p 1 el : j 2 p rows range v v p j el stack : for data v augment 51 line :

continuous up to 2nd derivative x f X Y x cinterp :

N XY rows : 129

4 appVersion 0.98.6179.21440 ≡

ω 2 π N / * : 0.048707

Δx X N el X 1 el - (N 1 - / : 0.007812

a b c spec . 11 black 13 mat : pts XY a b c spec pts : 21 sys

u λ u X 1 el - (ω Δx / * :

0.05 λ 0.311724

n 0 N range A n 1 + el 2 N / Y k 1 + el n k * ω * cos * k 0 N 1 - sum * eval : B n 1 + el 2 N / Y k 1 + el n k * ω * sin * k 0 N 1 - sum * eval : 21 line for

½ N to avoid aliasing sm 64 :

A 1 el 2 / 0.006326 -

Y Mean 0.006326 -

u B39 A 1 el 2 / A n 1 + el u λ n * cos * B n 1 + el u λ n * sin * + (n 1 sm sum + 11 line :

x μ 10 x ≤ (x 1 ≤ (& cases :

Fourier Budapest "B39" polynomial adjustable smoothing

pts x B39 x μ * 2 1 sys

Eternity to plot ... !

x B39 x diff x μ *

convenient infinitesimal h 0.001 :

x h f D1 x 2 h * + f - 8 x h + f * + 8 x h - f * - x 2 h * - f + 12 h * / :

x h f D1 x μ *

1 time t0 - 31 s *