Confusion about this min() operator

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I'm reading about planning algorithms and I'm having some difficulty understanding a bit of notation here. The pdf i'm reading is "planning.cs.uiuc.edu/ch2.pdf" [Broken] and the equation in question is on page 11. I'm not sure I understand what the min operator with all the subscripts actually means. Can anyone try to enlighten me?

Thanks,
 
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  • #2
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I'm reading about planning algorithms and I'm having some difficulty understanding a bit of notation here. The pdf i'm reading is "planning.cs.uiuc.edu/ch2.pdf" [Broken] and the equation in question is on page 11. I'm not sure I understand what the min operator with all the subscripts actually means. Can anyone try to enlighten me?

Thanks,
It means the minimum of the expression in braces, over uk, uk+1, ... , uK. It might help your understanding to expand the summation that's inside the braces.
 
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Why are the subscripts underneath "min" necessary? I just don't understand what meaning they add over just writing "min" alone.
 
  • #4
DrGreg
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Why are the subscripts underneath "min" necessary? I just don't understand what meaning they add over just writing "min" alone.
It tells you that everything else, that isn't a subscript, should be treated as constant.
 

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