85f874eb-8f1d-4ab0-8724-19fb0dfe20fe 23 15 12 decimal

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

Solve/rescue [ε] an algebraic system

system init ε GivenFind system init ε FindRoot :

S1 5 : a 2 : b 50 : 13 mat

system 2 a * b + B 2^- 0 ≡ a b + S1 - G - 0 ≡ 21 mat :

init B 1 ≡ G 1 ≡ 21 mat :

ε 1013 -^:

B G 21 mat system init ε GivenFind : 7.3485 - 4721 mat

ε ≥  10-13 improves speed
& solver  default accuracy 2 a * b + (B 2^- a b + (S1 G + (- 21 mat 1.000000000000000 1013 -^* - 0.000000000000000 21 mat

otherwise assigned B G sol

Solve/rescue [ε] a "UNARY" system

applicable units 'mm' a 1540 : b 6.09 : c 7389 : d 1141 : 14 mat

mm 1 :

1. NOT superflous in this example,
2. drops timing 2.2 s down 0.3 s
3. NEEDED to isolate solutions ε 103 -^:

X U 21 mat a X 2^* 2 / b c * d X - (* - 0 ≡ X 1 ≡ ε FindRoot a U 2^* 2 / b c * d U - (* - 0 ≡ U 1 - ≡ ε FindRoot 21 sys :

X U 21 mat mm 289.094 - 230.653 21 mat