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#380 algsys a*b=c*d grossly incomplete

open
nobody
5
2006-09-09
2003-08-13
Stavros Macrakis
No

algsys([a*b=c*d],[a,b,c,d])

returns

[[a = %R2*%R3/%R1,b = %R1,C = %R2,d = %R3]]

This is missing some of the solutions where one or both
of a and b is zero and one or both of c and d is zero.
The complete list of these solutions is:

[[a=0,b=%r1,c=0,d=%r2],
[a=0,b=%r3,c=%r4,d=0],
[a=%r5,b=0,c=0,d=%r6],
[a=%r7,b=0,c=%r8,d=0]]

The first two are subsumed by the original solution as
long as b # 0.

Discussion

  • Robert Dodier
    Robert Dodier
    2006-07-08

    • labels: --> 460522
     
  • Robert Dodier
    Robert Dodier
    2006-09-09

    • labels: 460522 --> Lisp Core - Solving equations