Math

If we regard interference and entanglement as the most distinctive features of the quantum world, then “which-way” experiments lie at the heart of quantum physics, vividly illustrating the contrast between classical and quantum conceptions of nature. The idea of “which-way” …

Developing a positive relationship with mathematics early on can have a powerful and lasting impact When young learners experience success, enjoyment, and a sense of belonging in mathematics (both at home and in the classroom), they’re far more likely to …

The Drumbeat of Releases Continues… Just under six months ago (176 days ago, to be precise) we released Version 14.1. Today I’m pleased to announce that we’re releasing Version 14.2, delivering the latest from our R&D pipeline. This is an …

Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips. To find least common multiple by using prime factorization method is discussed here.  To find the LCM of two or more numbers, we first find all the prime …

Many authors will tell you how to write mathematics clearly and correctly. But few will tell you how to write it with style and panache, so as to attract the oohs, aahs, and swiveling heads of passers-by. In that spirit, …

I’ve just uploaded to the arXiv my preprint The maximal length of the Erdős–Herzog–Piranian lemniscate in high degree. This paper resolves (in the asymptotic regime of sufficiently high degree) an old question about the polynomial lemniscates attached to monic polynomials …

The monograph with title “Transverse Instability of Solitary Waves” and subtitle “Multisymplectic Dirac Operators and the Evans Function“, and authors Timothy Burchell and Tom Bridges, has been published by Springer Nature in December 2025 (publisher website here). It has 164 …

Master the art of comparing positive and negative numbers! 📏The Number Line Integers are whole numbers that can be positive, negative, or zero. On a number line, numbers increase as we move to the right. -5 -4 -3 -2 -1 …

The quantum Schur transform is a unitary change of basis from the computational product basis to the so-called Schur basis, a basis labeled by the irreducible representations of the symmetric and unitary groups, based on the Schur-Weyl duality in the …

At Pro-Tuition, no two students have the same needs, but all teachers share the same goal. Some students are years behind where they should be; others just need someone to help them believe they can do it. Then there are the high-flyers who need extending beyond the standard curriculum. And teachers? They all want …