System F, K

eeb23d21-a9d8-43c7-9dd2-adfedaa7efaf 15 3 5 decimal

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

System F, K

F 0000000 908.28 kg m 2^* s 2^/ * - 17940 kg m * s 2^/ * - 4485 kg m 2^* s 2^/ * - 5393.28 kg m 2^* s 2^/ * 111 mat :

K 8.6533 108^* kg s 2^/ * 1.2158 108^* m kg * s 2^/ * 8.6533 108^* kg s 2^/ * - 1.2158 108^* m kg * s 2^/ * 0000000000 1.2158 108^* m kg * s 2^/ * 2.2776 107^* kg m 2^* s 2^/ * 1.2158 108^* m kg * s 2^/ * - 1.1388 107^* kg m 2^* s 2^/ * 0000000000 8.6533 108^* kg s 2^/ * - 1.2158 108^* m kg * s 2^/ * - 9.2507 108^* kg s 2^/ * 1.0112 108^* m kg * s 2^/ * - 5.9735 107^* kg s 2^/ * - 2.0459 107^* m kg * s 2^/ * 00000000 1.2158 108^* m kg * s 2^/ * 1.1388 107^* kg m 2^* s 2^/ * 1.0112 108^* m kg * s 2^/ * - 3.2119 107^* kg m 2^* s 2^/ * 2.0459 107^* m kg * s 2^/ * - 4.6715 106^* kg m 2^* s 2^/ * 0000000000 5.9735 107^* kg s 2^/ * - 2.0459 107^* m kg * s 2^/ * - 6.3971 107^* kg s 2^/ * 1.6954 107^* m kg * s 2^/ * - 4.2355 106^* kg s 2^/ * - 3.5049 106^* m kg * s 2^/ * 00000000 2.0459 107^* m kg * s 2^/ * 4.6715 106^* kg m 2^* s 2^/ * 1.6954 107^* m kg * s 2^/ * - 1.321 107^* kg m 2^* s 2^/ * 3.5049 106^* m kg * s 2^/ * - 1.9335 106^* kg m 2^* s 2^/ * 0000000000 4.2355 106^* kg s 2^/ * - 3.5049 106^* m kg * s 2^/ * - 4.528 106^* kg s 2^/ * 2.915 106^* m kg * s 2^/ * - 2.9248 105^* kg s 2^/ * - 5.8993 105^* m kg * s 2^/ * 00000000 3.5049 106^* m kg * s 2^/ * 1.9335 106^* kg m 2^* s 2^/ * 2.915 106^* m kg * s 2^/ * - 5.4536 106^* kg m 2^* s 2^/ * 5.8993 105^* m kg * s 2^/ * - 7.9326 105^* kg m 2^* s 2^/ * 0000000000 2.9248 105^* kg s 2^/ * - 5.8993 105^* m kg * s 2^/ * - 1.7166 107^* kg s 2^/ * 8.2179 106^* m kg * s 2^/ * 1.6873 107^* kg s 2^/ * - 8.8079 106^* m kg * s 2^/ * 00000000 5.8993 105^* m kg * s 2^/ * 7.9326 105^* kg m 2^* s 2^/ * 8.2179 106^* m kg * s 2^/ * 7.7168 106^* kg m 2^* s 2^/ * 8.8079 106^* m kg * s 2^/ * - 3.0651 106^* kg m 2^* s 2^/ * 0000000000 1.6873 107^* kg s 2^/ * - 8.8079 106^* m kg * s 2^/ * - 1.8039 107^* kg s 2^/ * 7.3245 106^* m kg * s 2^/ * - 1.1661 106^* kg s 2^/ * - 1.4833 106^* m kg * s 2^/ * 00000000 8.8079 106^* m kg * s 2^/ * 3.0651 106^* kg m 2^* s 2^/ * 7.3245 106^* m kg * s 2^/ * - 8.646 106^* kg m 2^* s 2^/ * 1.4833 106^* m kg * s 2^/ * - 1.2579 106^* kg m 2^* s 2^/ * 0000000000 1.1661 106^* kg s 2^/ * - 1.4833 106^* m kg * s 2^/ * - 1.1661 106^* kg s 2^/ * 1.4833 106^* m kg * s 2^/ * - 0000000000 1.4833 106^* m kg * s 2^/ * 1.2579 106^* kg m 2^* s 2^/ * 1.4833 106^* m kg * s 2^/ * - 2.5157 106^* kg m 2^* s 2^/ * 1414 mat :

Experiment ...

orignal 35713 mat

s 3 :

Ws 54713 mat :

34713 mat

33713 mat

32713 mat

sol K : i 1 s range 1 x 2 Ws i el * i - : sol sol x x vminor : 21 line NOT a system if for 21 line

U sol 1 -^F * :

25713 mat

45713 mat

55713 mat

54713 mat

U 0.0262 m * 7.9843 106 -^* 0.0262 m * 7.9839 106 -^* 0.0262 m * 0.0241 m * 0.0025 - 0.0097 - 0.0093 m * - 0.0065 - 0.0109 111 mat

Essentially, 'K' is a tridiagonal matrix. vminor(sol,x,x)[palette operator] dresses "sol" for the solver U:=[sol^-1]*F ... =>

Numeric x 11 : for_solving K x x vminor : 21 sys

x 11

... => explode 'for_solving' to see the argument to the solver U:=[sol^-1]*F

Matrix palette # # # alg

Units don't match for_solving 1 -^F * #

The processed 'U' returns either coefficients/or valued units. Intuitively it makes sense from inspection of 'K' ... that expertise belongs to the Originator. Sorry; can't explain more !

Experiment the proposed Ws above, observe the constant length of 'x=11' feed to ..... vminor(sol,x,x) That it requires an 'if' statement to comply with the 'Units" is above my understanding ! Tridiagonal systems are "user as per project". The commonly known: Advection, L_P_C splines.

expands symbolic but does not
result "Units don't match" for_solving 1 -^F *

sol, K Expand/Observe 'sol'

sol 11 mat 8.653 108^* kg s 2^/ * 1.216 108^* m kg * s 2^/ * 8.653 108^* kg s 2^/ * - 1.216 108^* m kg * s 2^/ * 0000000 1.216 108^* m kg * s 2^/ * 2.278 107^* kg m 2^* s 2^/ * 1.216 108^* m kg * s 2^/ * - 1.139 107^* kg m 2^* s 2^/ * 0000000 8.653 108^* kg s 2^/ * - 1.216 108^* m kg * s 2^/ * - 9.251 108^* kg s 2^/ * 1.011 108^* m kg * s 2^/ * - 5.974 107^* kg s 2^/ * - 000000 1.216 108^* m kg * s 2^/ * 1.139 107^* kg m 2^* s 2^/ * 1.011 108^* m kg * s 2^/ * - 3.212 107^* kg m 2^* s 2^/ * 2.046 107^* m kg * s 2^/ * - 00000000 5.974 107^* kg s 2^/ * - 2.046 107^* m kg * s 2^/ * - 6.397 107^* kg s 2^/ * 4.236 106^* kg s 2^/ * - 3.505 106^* m kg * s 2^/ * 00000000 4.236 106^* kg s 2^/ * - 4.528 106^* kg s 2^/ * 2.915 106^* m kg * s 2^/ * - 5.899 105^* m kg * s 2^/ * 0000000 3.505 106^* m kg * s 2^/ * 2.915 106^* m kg * s 2^/ * - 5.454 106^* kg m 2^* s 2^/ * 7.933 105^* kg m 2^* s 2^/ * 00000000 5.899 105^* m kg * s 2^/ * 7.933 105^* kg m 2^* s 2^/ * 7.717 106^* kg m 2^* s 2^/ * 8.808 106^* m kg * s 2^/ * - 3.065 106^* kg m 2^* s 2^/ * 00000000 8.808 106^* m kg * s 2^/ * - 1.804 107^* kg s 2^/ * 7.325 106^* m kg * s 2^/ * - 1.483 106^* m kg * s 2^/ * 0000000 3.065 106^* kg m 2^* s 2^/ * 7.325 106^* m kg * s 2^/ * - 8.646 106^* kg m 2^* s 2^/ * 1.258 106^* kg m 2^* s 2^/ * 00000000 1.483 106^* m kg * s 2^/ * 1.258 106^* kg m 2^* s 2^/ * 2.516 106^* kg m 2^* s 2^/ * 1111 mat 11 mat

K 11 mat 8.653 108^* kg s 2^/ * 1.216 108^* m kg * s 2^/ * 8.653 108^* kg s 2^/ * - 1.216 108^* m kg * s 2^/ * 0000000000 1.216 108^* m kg * s 2^/ * 2.278 107^* kg m 2^* s 2^/ * 1.216 108^* m kg * s 2^/ * - 1.139 107^* kg m 2^* s 2^/ * 0000000000 8.653 108^* kg s 2^/ * - 1.216 108^* m kg * s 2^/ * - 9.251 108^* kg s 2^/ * 1.011 108^* m kg * s 2^/ * - 5.974 107^* kg s 2^/ * - 2.046 107^* m kg * s 2^/ * 00000000 1.216 108^* m kg * s 2^/ * 1.139 107^* kg m 2^* s 2^/ * 1.011 108^* m kg * s 2^/ * - 3.212 107^* kg m 2^* s 2^/ * 2.046 107^* m kg * s 2^/ * - 4.672 106^* kg m 2^* s 2^/ * 0000000000 5.974 107^* kg s 2^/ * - 2.046 107^* m kg * s 2^/ * - 6.397 107^* kg s 2^/ * 1.695 107^* m kg * s 2^/ * - 4.236 106^* kg s 2^/ * - 3.505 106^* m kg * s 2^/ * 00000000 2.046 107^* m kg * s 2^/ * 4.672 106^* kg m 2^* s 2^/ * 1.695 107^* m kg * s 2^/ * - 1.321 107^* kg m 2^* s 2^/ * 3.505 106^* m kg * s 2^/ * - 1.934 106^* kg m 2^* s 2^/ * 0000000000 4.236 106^* kg s 2^/ * - 3.505 106^* m kg * s 2^/ * - 4.528 106^* kg s 2^/ * 2.915 106^* m kg * s 2^/ * - 2.925 105^* kg s 2^/ * - 5.899 105^* m kg * s 2^/ * 00000000 3.505 106^* m kg * s 2^/ * 1.934 106^* kg m 2^* s 2^/ * 2.915 106^* m kg * s 2^/ * - 5.454 106^* kg m 2^* s 2^/ * 5.899 105^* m kg * s 2^/ * - 7.933 105^* kg m 2^* s 2^/ * 0000000000 2.925 105^* kg s 2^/ * - 5.899 105^* m kg * s 2^/ * - 1.717 107^* kg s 2^/ * 8.218 106^* m kg * s 2^/ * 1.687 107^* kg s 2^/ * - 8.808 106^* m kg * s 2^/ * 00000000 5.899 105^* m kg * s 2^/ * 7.933 105^* kg m 2^* s 2^/ * 8.218 106^* m kg * s 2^/ * 7.717 106^* kg m 2^* s 2^/ * 8.808 106^* m kg * s 2^/ * - 3.065 106^* kg m 2^* s 2^/ * 0000000000 1.687 107^* kg s 2^/ * - 8.808 106^* m kg * s 2^/ * - 1.804 107^* kg s 2^/ * 7.325 106^* m kg * s 2^/ * - 1.166 106^* kg s 2^/ * - 1.483 106^* m kg * s 2^/ * 00000000 8.808 106^* m kg * s 2^/ * 3.065 106^* kg m 2^* s 2^/ * 7.325 106^* m kg * s 2^/ * - 8.646 106^* kg m 2^* s 2^/ * 1.483 106^* m kg * s 2^/ * - 1.258 106^* kg m 2^* s 2^/ * 0000000000 1.166 106^* kg s 2^/ * - 1.483 106^* m kg * s 2^/ * - 1.166 106^* kg s 2^/ * 1.483 106^* m kg * s 2^/ * - 0000000000 1.483 106^* m kg * s 2^/ * 1.258 106^* kg m 2^* s 2^/ * 1.483 106^* m kg * s 2^/ * - 2.516 106^* kg m 2^* s 2^/ * 1414 mat 11 mat