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Abstract: In this paper, a strict Lyapunov function is developed in order to show the exponential stability and input-to-state stability (ISS) properties of a diffusion equation for nonhomogeneous ...

Formula 1 still has the potential to “grow exponentially” in the United States, according to its new long-term broadcast partner Apple. Formula 1 announced Friday that it has signed a five-year deal ...

TL;DR: Microsoft is launching Copilot AI for Excel, a new feature that uses advanced language models to help users analyze data, summarize information, and generate ideas directly in their ...

Microsoft Excel’s new COPILOT function lets users generate, summarize, and analyze data directly in spreadsheet cells using plain-language prompts. (Microsoft Image) Microsoft is building generative ...

Revised: This Reviewed Preprint has been revised by the authors in response to the previous round of peer review; the eLife assessment and the public reviews have been updated where necessary by the ...

Abstract: The starting point is to rewrite the differential equation as an integral equation, which is then viewed as a functional equation. This makes obvious what the fixed point iteration should be ...

Ready to unlock your full math potential? 🎓Subscribe for clear, fun, and easy-to-follow lessons that will boost your skills, build your confidence, and help you master math like a genius—one step at ...

Ready to unlock your full math potential? 🎓Subscribe for clear, fun, and easy-to-follow lessons that will boost your skills, build your confidence, and help you master math like a genius—one step at ...