Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let S = a1r1+ a2r2+ + anrn be a ighted Rademacher sum. Friedgut, Kalai, and Naor have shown that if Var(jSj) is much smaller than Var(S), then the sum is largely determined by one of the summands.  provide a simple and elementary proof of this result, strengthen it, and extend it in various ways to a more general setting.
['Jacek Jendrej', 'Krzysztof Oleszkiewicz', 'Jakub Onufry Wojtaszczyk']
I am writing a research paper on a idea On Some Extensions of the FKN Theorem
[{"from": "human", "value": "I am writing a research paper on a idea On Some Extensions of the FKN Theorem"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Let S = a1r1+ a2r2+ + anrn be a ighted Rademacher sum. Friedgut, Kalai, and Naor have shown that if Var(jSj) is much smaller than Var(S), then the sum is largely determined by one of the summands.  provide a simple and elementary proof of this result, strengthen it, and extend it in various ways to a more general setting."}]