79a93462-8eb5-4143-bf36-a8bf9a780f7c 10 4 5 decimal

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

a,b above or below is immaterial
above defeats the purpose of 
defining a system algo style
for local in-situ evaluation. U a sqrt b 0.125^+ (a ln b - (* : a b U algo U : 21 sys

a 9.87654321 :

b 1.23456789 :

a b U algo 4.4012

collapse in utilities @ top work sheet u v U algo u v U 13 mat :

assign variables ... define algo "U" ... evaluate in-situ u 1.23456789 : v 9.87654321 : U u sqrt v 0.125^+ (u ln + v - : 13 mat

u v U algo 1.2346 9.8765 7.2233 - 13 mat

collapse in utilities @ top work sheet u v U algo U :

assign variables ... define algo "U" ... evaluate in-situ u 9.87654321 : v 1.23456789 : U u sqrt v 0.125^+ (u ln + v - : 13 mat

u v U algo 5.225

collapse in utilities @ top work sheet # # U algo U :

a 2 : b 3 : U a b + (a b - (* : algo c 2 : d 2 : U c d + (c d - (* : algo u 3 : v 2 : U u v + (u v - (* : algo 31 mat 5 - 0531 mat

collapse in utilities @ top of work sheet # # # U algo U :

U a b + (a b - (* c sqrt d + (c d sqrt - (* x y + z + xx yy + zz + 41 mat :

a 3 : b 2 : U 1 el algo c 2 : d 3 : U 2 el algo x 1 : y 2 : z 3 : U 3 el algo xx 2 ln : yy 2 sqrt : zz π 2^: U 4 el algo 41 mat 5 - 1.1828 6 11.977 41 mat

provisional algo # # # U→ algo U→ :

c a b + : d a b - : 12 mat X→ c d * : Y→ c d + sqrt : U→ u v + : 41 mat

X→ Y→ U→ 31 mat 56 sqrt 531 mat

a 3 sqrt : b 2 - : 12 mat

wild u u : v v : 12 mat

NUMERIC X→ Y→ 21 mat 5 2.4495 21 mat

SYMBOLIC a b X→ algo a b_Y→ algo a b_U→ algo 31 mat 56 sqrt 531 mat

Bolean true a b Clear 1

sanity a #

sanity b #

c a b + :

d a b - :

my assignment X→ c d * :

NUMERIC X→ #

SYMBOLIC X→ a b + (a b - (*

r s u v op algo a r s ± : b u v ± : wanted op sys2mat : 31 line :

mystuff 9.87654321 2 sqrt 1.789 3 sqrt a b + (algo : yourstuff 1.23456789 2 ln π - 2 Gamma b a - (algo : 21 sys

mystuff 14.811807579942 11.9833804551958 11.3477059648042 8.51927884005803 41 mat

yourstuff 4.06930611981122 - 6.06930932848826 - 2.68301175869133 - 4.68301496736837 - 41 mat

9.87654321 2 sqrt + 1.789 + 3 sqrt + 9.87654321 2 sqrt - 1.789 + 3 sqrt + 9.87654321 2 sqrt + 1.789 + 3 sqrt - 9.87654321 2 sqrt - 1.789 + 3 sqrt - 41 mat 14.8118 11.9834 11.3477 8.5193 41 mat

1.23456789 - 2 ln - π - 2 Gamma + 1.23456789 - 2 ln - π - 2 Gamma - 1.23456789 - 2 ln + π - 2 Gamma + 1.23456789 - 2 ln + π - 2 Gamma - 41 mat 4.0693 - 6.0693 - 2.683 - 4.683 - 41 mat

r s u v op algo a r s * : b u v / : wanted op sys2mat : 31 line :

Mystuff 9.87654321 2 sqrt 1.789 3 sqrt a b * (algo : Yourstuff 1.23456789 2 ln π 2 Gamma a b / (algo : 21 sys

Mystuff 9.87654321 2 sqrt * 1.789 3 sqrt / * 21 mat 14.4268 14.4268 21 mat

Yourstuff 1.23456789 2 ln * 2 Gamma π / * 21 mat 0.2724 0.2724 21 mat

13. Comprehensive 2D matrix algo

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 64 :

ε 2 :

alternately ... # # f L H N Sym x y f L H N Sym 21 sys

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

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1 time t0 - 9 s *