8924673d-c6e9-48c7-9620-00e320bf7e3b 8 6 9 decimal

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

1 Cx Rp 1 Rp C * + (L R + (* + (* - Rp C * + 1 Rp C * + (Cx * / - 1 Rp C * + 1 Rp C * + (R L + (* Rp 1 Rx C * - (* + Rx - / 21 mat

Solving: Rx, Cx [ideal adaptation] ideal adaptation R L + Rp Rp C * 1 + / + Rx 1 Cx / + ≡ 21 mat R L + Rp Rp C * 1 + / + Rx 1 Cx / + ≡ Rx solve maple R L + Rp Rp C * 1 + / + Rx 1 Cx / + ≡ Cx solve maple 31 mat ideal adaptation R 1 Rp C * + (* Rp + L 1 Rp C * + (* + 1 Rp C * + / Rx Cx * 1 + Cx / ≡ (21 mat 1 Cx Rp 1 Rp C * + (L R + (* + (* - Rp C * + 1 Rp C * + (Cx * / - 1 Rp C * + 1 Rp C * + (R L + (* Rp 1 Rx C * - (* + Rx - / 31 mat

Solve/Plot a reflexive system

a b Cx R a b / 1 Cx / - :

a b Rx C b a b Rx * - / :

a 10 : b 2 : 12 mat

c 5 : d 3 : 12 mat

a b Cx R c d Rx C ≡ Rx solve maple a b Cx R c d Rx C ≡ Cx solve maple 21 mat 5 - 22 Cx * + 31 - 5 Cx * + (* / 5 - 3 Rx * + 22 - 15 Rx * + / 21 mat

1. Generalise the solutions wrt a common variate

u sol_1 5 - 22 u * + 31 - 5 u * + (* / :

u sol_2 5 - 3 u * + 22 - 15 u * + / :

2. Solving for their intersection

sol 5 - 22 u * + 31 - 5 u * + (* / 5 - 3 u * + 22 - 15 u * + / ≡ u solve maple : 513 sqrt + 6 / 513 sqrt - 6 / 21 mat

sol 1.434259 0.232408 21 mat

Y X 2 el sol_1 X 1 el sol_2 21 mat :

X 1.434259 0.232408 21 mat :

Y 0.232404 1.434276 21 mat

box X 2 el Y 1 el X 2 el Y 2 el X 1 el Y 2 el X 1 el Y 1 el X 2 el Y 1 el 52 mat :

Region of existence a reflexive system is adaptable

x sol_1 x sol_2 box 1 1 + 50 red 1 5 mat 4 1 sys