The Meet in the Middle approach is an optimization technique for solving problems like the Subset Sum Problem, particularly when n is around 30–40. It reduces time complexity from O(2ⁿ) to O(2ⁿ/²), ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

Abstract: Given a multiset of n positive integers and a target sum S, the subset sum problem is to find a subset such that the sum of its elements is as close as possible to S without exceeding S. We ...

Zero-sum thinking has spread like a mind virus, from geopolitics to pop culture. Credit...Photo illustration by Pablo Delcan Supported by By Damien Cave Damien covers global affairs. He is based in ...

Light propagates in a three-dimensional photonic circuit to solve the subset sum problem. The image of the reconfigurable photonic processor is based on the research presented. Credit: Xu et al., doi ...

The quaternion cubature Kalman filter (QCKF) algorithm has emerged as a prominent nonlinear filter algorithm and has found extensive applications in the field of GNSS/SINS integrated attitude ...

\[ \gdef\bias{\mathrm{bias}} \gdef\deg{\mathrm{deg}} \gdef\indeg{\mathrm{indeg}} \gdef\outdeg{\mathrm{outdeg}} \gdef\Snap{\mathrm{Snap}} \gdef\RSnap{\mathrm{RefSnap ...

1 Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin, China 2 State Grid Economic and Technological Research Institute Co., Ltd., Beijing, China The optimal operation ...