Google claims to have achieved a verifiable quantum breakthrough with a new algorithm that outperforms the most powerful ...

Google launched four official and confirmed algorithmic updates in 2025, three core updates and one spam update. This is in comparison to last year, in 2024, where we had seven confirmed updates, then ...

Shortest path algorithms sit at the heart of modern graph theory and many of the systems that move people, data, and goods around the world. After nearly seventy years of relying on the same classic ...

A conversation with James Manyika about the year AI capabilities accelerated, the importance of collaboration, and what it means to be both bold and responsible.

ABSTRACT: Recently we have studied the instant-form quantization (IFQ) of the conformally gauge-fixed Polyakov D1 brane action with and without a scalar dilaton field using the Hamiltonian and path ...

1 College of Electromechanical Engineering, Qingdao University of Science and Technology, Shandong Province, China 2 Shandong Gaomi Technician Institute, Shandong Province, China For the low ...

When Edsger W. Dijkstra published his algorithm in 1959, computer networks were barely a thing. The algorithm in question found the shortest path between any two nodes on a graph, with a variant ...

Rubik's cubes are great for fun, fast-paced problem solving, but they also have a rich mathematical structure involving ideas of symmetry and connectivity. A 3x3x3 Rubik’s cube has 43 quintillion ...

Rubik's cubes are great for fun, fast-paced problem solving, but they also have a rich mathematical structure involving ideas of symmetry and connectivity. A 3x3x3 Rubik’s cube has 43 quintillion ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

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