A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Find out how and why mathematics is used in microeconomics, its limitations, and the math skills that economics students need.

Abstract: Much research has been devoted to complex-variable optimization problems due to their engineering applications. However, the complex-valued optimization method for solving complex-variable ...

Abstract: In the study of subsurface seismic imaging, solving the acoustic wave equation is a pivotal component in existing models. The advancement of deep learning (DL) enables solving partial ...

Professional mathematicians have been stunned by the progress amateurs have made in solving long-standing problems with the ...

Math teacher Emma Chiappetta uses a three-round exercise to help students not only recognize their errors, but also generate ...

They found that students assigned to teachers who used more mathematical vocabulary in their lessons made greater progress ...

Journaling for just a few minutes every day can help turn it into a stress-relieving, sustainable habit. It may help to write at the same time each day or use prompts for fresh ideas. One of your best ...

Carbon dioxide levels in the Earth’s atmosphere hit nearly 420 parts per million in 2021 — a level not seen in around four million years, since the mid-Pliocene Epoch, long before our own species ...

Hydrogels are among the most widely studied biomaterials in modern drug delivery research. Their high hydrophilicity, ...

Since the release of GPT 5.2, AI tools have become inescapable in high-level mathematics.