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More in AI Proves Theorems
More in Famous Problems & Conjectures

Researchers Bound K-Sum Complexity with N^(k/(k+1)) Queries

Previously, proving that certain problems require substantial computational power demanded complex mathematical machinery; now, those same limitations can be demonstrated with simpler tools. This work establishes a new baseline by showing how to prove existing quantum lower bounds, specifically Ω(n^(2/3)) for element distinctness and Ω(n^(k/(k+1))) for k-sum, using just fundamental…

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More in New Math Research

Time and Space Complexity

We are no calculating with a stopwatch. We're looking at how many operations did the CPU have to perform. Say for example: We are running a function which takes a value 'N' and runs a loop 'N' times: Here, the loop is running N times which means Time Complexity is…

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More in Proof Assistants & Formal Math