OpenEuphoria

Re: goddamn equasions

• Posted by Al Getz <xaxo at AOL.COM> Sep 15, 2000
• 438 views

koda,

One additional point with that special system:

[5]  ln(135/a)=  B1*b +   C1*c  + D1*d
[6]  ln(360/a)=  B2*b + 2*C1*c
[7]  ln(765/a)=  B3*b + 3*C1*c  + D3*d
[8]  ln(130/a)=  B4*b +   C1*c  + D1*d

with the help of the relationship:
  ln(A/B)=ln(A)-ln(B)

you can convert to an "almost" total linear system:

  ln(135)=  B1*b +   C1*c  + D1*d + ln(a)
  ln(360)=  B2*b + 2*C1*c         + ln(a)
  ln(765)=  B3*b + 3*C1*c  + D3*d + ln(a)
  ln(130)=  B4*b +   C1*c  + D1*d + ln(a)

and solve by the usual method of simultaneous solutions:
  x =  M^(-1) * v
  { x,v vectors, M square matrix }

Then:
  a = e^(ln (a) )

constants repeated here:

  B1=ln(1000)
  B2=ln(950)
  B3=ln(900)
  B4=ln(850)
  C1=.2
  D1=ln(.1)
  D3=ln(5)

Usually you need to use numerical analysis with these types of equations.
This was a very special case.

--Al