sicp-solutions/ex-2.15-NOT-DONE.txt
Petar Kapriš 1b2b2dfec1 Add solutions to exercises from section 2.1
To be noted: the last two exercises, 2.15 and 2.16 were left unfinished,
and will be left for another time.
2025-02-05 15:17:47 +01:00

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This is mostly explained in the previous exercise.
When it comes to par1 and par2 specifically, we should examine
the formulas themselves:
((R1+-t1*R1)*(R2+-t2*R2)) / (R1+-t1*R1 + R2+-t2*R2) =
(R1*R2 +-t1*R1*R2 +-t2*R2*R1 +-t1*t2*R1*R2) /
(R1+R2+-t1*R1+-t2*R2) =
(R1*R2 +-t1*R1*R2 +-t2*R2*R1 +-t1*t2*R1*R2) /
(R1+R2+-t1*R1+-t2*R2) * (R1+R2-+t1*R1-+t2*R2)/(R1+R2-+t1*R1-+t2*R2) =
(R1*R2 +-t1*R1*R2 +-t2*R2*R1 +-t1*t2*R1*R2) /
(R1+R2+-t1*R1+-t2*R2) * (R1+R2-+t1*R1-+t2*R2)/(R1+R2-+t1*R1-+t2*R2) =
1 / (1/(R1+-t1)+1/(R2+-t2)) =
1 / ((R1-+t1)/(R1^2-t1^2) + (R2-+t2)/(R2^2-t2^2)) =