Abstract: Physics-informed neural networks (PINNs) have recently been utilized to tackle wave equation-based forward and inverse problems. However, they encounter challenges in accurately predicting ...

GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

Creative inventions and ideas that show next-level thinking. Terror charge filed in Jan. 6 case I asked 3 restaurant pros to name the most annoying thing diners do ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. In October 2024, news broke that Facebook parent company Meta had cracked an "impossible" problem ...

In this video, we solve a challenging geometry problem using pure logic, geometric reasoning, and smart observations—no trigonometric formulas required. This approach helps you build deeper ...

Abstract: Large-scale sparse multiobjective optimization problems (LSMOPs) are of great significance in the context of practical applications, such as critical node detection, feature selection, and ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is much more than a way to create a pretty pattern. Consisting of a surface ...

You probably don’t need more time. By Jancee Dunn When I look back on all the major decisions I’ve dithered over, I could scream. It took me a decade to commit to becoming a parent. I wavered for a ...

Jake and Alma had yet another argument about money—budgets, who was spending what—but, like the others, it led to nowhere productive. But for other couples, it might not be about money but sex, or ...

Technology has delivered groundbreaking advances in recent decades—from life-saving medical treatments to the everyday convenience of carrying a powerful computer in a pocket. Yet despite the rapid ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...