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Question: One element of a set have disappeared after elementary transformations. Why?

Question:One element of a set have disappeared after elementary transformations. Why?

Andriy 270 Maple
February 11 2014
1

Please look at the following set.

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restart; Z := {x1*(h1+h3) = 0, b1*x1+b4*x3 = 0, f2*x2+f3*x1 = 0, g2*x2+g4*x3 = 0, d1*x1+d2*x2+d4*x3 = 0}; for i to numelems(Z) do print(Z[i]) end do; "++++++++++++++++"; h3 := -h1; x3 := x2; g2 := -g4; Z; print("The following loop gives wrong result! The last element d1*x1+d2*x2+d4*x2=0 of set Z have disappeared!"); for i to numelems(Z) do print(Z[i]) end do

{x1*(h1+h3) = 0, b1*x1+b4*x3 = 0, f2*x2+f3*x1 = 0, g2*x2+g4*x3 = 0, d1*x1+d2*x2+d4*x3 = 0}

  

x1*(h1+h3) = 0

  

b1*x1+b4*x3 = 0

  

f2*x2+f3*x1 = 0

  

g2*x2+g4*x3 = 0

  

d1*x1+d2*x2+d4*x3 = 0

  

"++++++++++++++++"

  

{0 = 0, b1*x1+b4*x2 = 0, f2*x2+f3*x1 = 0, d1*x1+d2*x2+d4*x2 = 0}

  

"The following loop gives wrong result! The last element d1*x1+d2*x2+d4*x2=0 of set Z have disappeared!"

  

0 = 0

  

b1*x1+b4*x2 = 0

  

f2*x2+f3*x1 = 0

  

0 = 0

 (1)
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