We study the integrable structure of the Dirichlet boundary problem in two dimensions and extend the approach to the case of planar multiply-connected domains. The solution to the Dirichlet boundary ...

正整数 $N$ に対して, $Q_N$ を $\lfloor {N \over x} \rfloor$ で表される正整数全体とする. 数列 $f,g:\mathbb{N} \to \mathbb{F}_p$ について ...

Abstract: This conference paper is a summary of the article ¿Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints¿, J.-P. Aubin, A. Bayen, P. Saint-Pierre, SIAM Journal on ...

Morgan Wallen is moving full steam ahead to his next musical project. After releasing his One Thing at a Time album in 2023 and touring to promote the album over the last two years, the country singer ...

If you want to accentuate the importance of a problem, it seems sensible to explain how prevalent it is. Lots of people are at risk of Alzheimer’s disease. Lots of women carry a gene that makes them ...

Nature Research Intelligence Topics enable transformational understanding and discovery in research by categorising any document into meaningful, accessible topics. Read this blog to understand more ...

If your PC restarts unprompted, freezes, or programs crash, you could have a RAM problem on your hands. To find out whether RAM really is the problem, you can use your PC’s memory diagnostics tool to ...

Problem-solving therapy (PST) helps individuals manage stress by breaking down challenges into practical, manageable steps. The aim of the therapy is to help people cope more confidently with ...

Alan Veliz-Cuba has received funding from the Simons Foundation and the American Mathematical Society for some of his research. You can probably think of a time when you’ve used math to solve an ...

For the past month or so, you could hardly log onto any social media platform without hearing Laila!‘s TikTok-viral single “That’s Not My Problem.” The song became so popular online, that Cash Cobain ...

According to memes and social media posts, U.S. Vice President Kamala Harris is rumored to have once opined about dealing with problems, problems and more problems. The purported quote reads, "The ...

Problems continuously arise in organizational life, making problem-solving an essential skill for leaders. Leaders who are good at tackling conundrums are likely to be more effective at overcoming ...