Abstract: Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, we propose ...

Mashable looks into three of the most popular AI-powered chatbot tutors and whether they actually make learning easier.

We propose a novel score-based generative model for graphs that overcomes the limitation of previous generative methods, by introducing a diffusion process for graphs that can generate node features ...

We investigate the extension of the nonparametric regression technique of local polynomial fitting with a kernel weight to generalized linear models and quasi-likelihood contexts. In the ordinary ...

The Cabot Professor of Mathematics sat down with Fifteen Minutes to discuss life lessons from mathematics, the challenges of ...

DeepMind’s AI finds new, proven solutions to Navier-Stokes equations—advancing fluid dynamics and future climate, flight, and ...

In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it ...

At its core, the SPARKLINE function in Google Sheets takes a row of numbers and turns them into a mini chart that lives right inside a single cell. Instead of inserting a full-sized chart that eats up ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

Troy Segal is an editor and writer. She has 20+ years of experience covering personal finance, wealth management, and business news. Katie Miller is a consumer financial services expert. She worked ...

Typically, we use Lyapunov_python_3_9 locally (with conda 4.12.0 and pip 24.3.1) and Lyapunov_python_3_10 on our clusters for compatibility issues. The only differences are in the version of python, ...