Abstract: Stepwise controllable devices, such as switched capacitors or stepwise controllable loads and generators, transform the nonconvex AC optimal power flow (AC-OPF) problem into a nonconvex ...

Abstract: Energy optimization is a critical challenge in wireless sensor networks (WSNs) due to its direct impact on the network lifetime. This paper proposes the use of the K-means algorithm combined ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of ...

Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum ...

A new AI framework called THOR is transforming how scientists calculate the behavior of atoms inside materials. Instead of relying on slow simulations that take weeks of supercomputer time, the system ...

David Cutler is in the spotlight for his work on a tasty-sounding mathematics problem. In January, the New York Times featured a research paper authored by Cutler and Neil Sloane, the founder of The ...

AI could soon spew out hundreds of mathematical proofs that look "right" but contain hidden flaws, or proofs so complex we can't verify them. How will we know if they're right? When you purchase ...

These start-ups, including Axiom Math and Harmonic, both in Palo Alto, Calif., and Logical Intelligence in San Francisco, hope to create A.I. systems that can automatically verify computer code in ...

The beauty of pattern-based learning is its transferability. Once you grasp the core idea behind, say, the "Two Pointers" technique, you can apply it to a range of problems, from finding pairs that ...

Advent of Code 2025 solutions written in C++. For each day there is one "a" and one "b" file, which correspond to part 1 and 2 respectively. Since the solution for 10b uses GLPK for solving integer ...

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