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Lagrange multipliers and combinations of points

  1. Nov 12, 2012 #1
    I was wondering how they got all the different combinations of points? Why can't they just put

    (+-√2,+-1,+-√(2/3)) ?
     

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  3. Nov 12, 2012 #2

    Ray Vickson

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    When y = +1 there are two values of x and z, and when y = -1 there are two values of x and z, making a total of 8 combinations.

    RGV
     
  4. Nov 12, 2012 #3

    HallsofIvy

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    What you wrote, (+-√2,+-1,+-√(2/3)), would, by the standard conventions, be interpreted as two points, (+√2,+1,+√(2/3)) and (-√2,-1,-√(2/3))
     
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