Quantizing Dynamics: Taming Error in Real-World Models
New research provides robust statistical guarantees for quantized dynamical systems, bridging the gap between theory and practical applications with limited precision.
New research provides robust statistical guarantees for quantized dynamical systems, bridging the gap between theory and practical applications with limited precision.

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Eiichiro Oda, the creator of One Piece, rarely lets characters stay dead. Instead of permanent deaths, he often uses fake-outs. No matter how final or sad a character’s apparent demise, Oda always finds a surprising way to bring them back.

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![The Robertson reaction system, modeled with a second-order single-step DIRK method and positivity correction applied to [latex]\mathbf{y}\_{n+1}[/latex], demonstrably maintains strictly non-negative values throughout its time evolution.](https://arxiv.org/html/2602.15271v1/x4.png)
Researchers have developed a novel time integration method that reliably maintains positivity and key invariants in simulations of dynamic systems.

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The gameplay in God of War: Sons of Sparta is presented as a story Kratos tells his daughter, Calliope, about his and his brother Deimos’s upbringing and their understanding of duty. While this connects to Kratos’s history and shows a new side of his character – his past – the game suffers from feeling disconnected from the original Kratos, despite being narrated by the same voice actor, TC Carson. This is compounded by the game’s simplistic graphics. While visuals aren’t everything, God of War: Sons of Sparta’s basic art style isn’t just a flaw; it significantly impacts the overall experience.