Confusion about this min() operator

AI Thread Summary
The discussion centers on understanding the notation used in a specific equation from the PDF "planning.cs.uiuc.edu/ch2.pdf," particularly the min operator with subscripts found on page 11. The min operator represents the minimum value of an expression over a specified range of variables (uk, uk+1, ... , uK). The subscripts are essential as they indicate which variables are being considered for the minimum, clarifying that all other elements should be treated as constants. Expanding the summation within the braces can further aid in comprehension of the notation.
Jyan
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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" 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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Jyan said:
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" 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.
 
Jyan said:
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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