What Does the Limit of Summation i<j Mean?

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The limit of a summation expressed as i<j indicates that the index i runs from its starting value up to, but not including, j. This means i can take values from 0 to j-1, ensuring that i is always strictly less than j. The discussion clarifies that the upper limit for i is determined by the value of j, which is not included in the summation. Understanding this notation is crucial for correctly interpreting summations in mathematical contexts. The concept emphasizes the importance of defining index limits in summation notation.
AKBAR
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Hi,

I'm having some trouble understanding what is meant when the limit of a summation is i<j. Does it mean the limits are i = 0 to i = j?

Thanks!
 
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If i is always strictly less than j, then index i's maximal value is j-1.
 

Thread 'Area of Overlapping Squares'

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