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I haven't run across the word 'prefix' used in this way mathematically, but the phrase 'partial sum' is used in this way when discussing infinite series. If there's a better way to phrase things I'd be pleased for someone with inspiration to make an edit.
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In the context of infinite series, I use "partial sum" the way you do, but it somehow rubbed me the wrong way in the present context. There is a page for "
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These numbers are the well-known ballot numbers. The formula was first found by
Whitworth in 1878. There is really no reason to call these Lobb numbers.
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I think that you mean that the sum of any prefix is non-negative, yes? If so, please clarify the text. If not, if you mean that the sum from position
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Thank you for the tip. A section Ballot counting was added today to note the alternative interpretation of a combinatorial result.
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Knowledge. If you would like to participate, please visit the project page, where you can join
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series. Thank you for making the Lobb numbers page and devoting some time to it!
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for some index that is −1 would seem to contradict the statement.
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Equivalent to prefix of string of balanced parentheses
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