A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...
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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable
For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...
Abstract: The extension to the split-step Fourier method (SSFM) for Schrödinger-type pulse propagation equations that we propose in this article is designed with the accurate simulation of pulses in ...
When using the Duo Mobile app I get a message, "We have detected some security issues with your device that require your attention." What should I do? The Duo app helps keep you safe by suggesting you ...
Abstract: A two-step strategy is developed for real-time trajectory planning of a hypersonic vehicle (HV) in the reentry phase. The first step generates the optimal trajectory for the HV using a ...
At first glance, the Drake Equation looks like a hopeful scientific tool. In reality, it leads to disturbing possibilities about isolation, extinction, and survival. This breakdown explains the ...
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