fa378222-3785-443f-89c9-9345ad67fff9 4 4 5 decimal

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

# f Q i 1 U rows range vx i el U i el : vy i el U i el f : 21 line for vx vy augment 21 line :

either style 2D image # # f L H N Sym x y f L H N Sym f L H N Sym 31 sys

Golden ratio
Romber-Simpson kernel f a b test TOL Extrema f a b n Int 21 sys

U 010 0.1 range : x f x sqrt : 21 sys

4 appVersion 0.98.6179.21440 ≡

x f Q

f Q i 1 U rows range vx i el U i el : vy i el U i el f eval : 21 line for vx vy augment 21 line :

U 010 0.001 range : x f x sqrt : 21 sys

t0 1 time :

x f Q

eval(,) decreases timing 46/38 seconds

1 time t0 - 38 s *

t0 1 time :

# # f L H N Sym U 0 : dx H L - N / : 12 mat i 1 N range U i el L dx i * dx - (+ : for r 1 : i 1 U rows range c 1 : j 1 U rows range M r c el U i el U j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for 21 line M 41 line :

either direction

L 1 - :

H 1 :

N 32 :

εxy 2 :

x y f 255 x 2^εxy y * (2^+ (- 0.25 / exp * : N x y f L H N Sym : 21 sys

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 N

1 time t0 - 3 s *