The discussion revolves around a mathematical property related to the expression of numbers as sums of differences, specifically focusing on the example of 3^3. Participants explore whether this property has connections to game theory and clarify the nature of the property itself.
Participants do not reach a consensus on the connection to game theory, and there is uncertainty regarding the definition and significance of the "collapsing sum." Multiple interpretations of the mathematical property are presented.
Some participants express confusion about the terminology used, such as "collapsing sum" and "telescoping series," indicating a lack of clarity in definitions and concepts discussed.
What is that, exactly? I'm unclear on what the "interesting property" is. Obviously you can express any number as a sum of differences between a series of smaller numbers. I tried googling "collapsing sum" but found nothing helpful.gb7nash said:I'm not sure how this has anything to do with game theory, but what you just found is what's called the collapsing sum.
pmsrw3 said:What is that, exactly? I'm unclear on what the "interesting property" is. Obviously you can express any number as a sum of differences between a series of smaller numbers. I tried googling "collapsing sum" but found nothing helpful.
micromass said:I think he means a telescoping series: http://en.wikipedia.org/wiki/Telescoping_series of which the OP gave a (trivial) example.